author | Kevin Jacobs <kjacobs@mozilla.com> |
Tue, 04 Aug 2020 19:54:56 +0000 | |
changeset 543273 | a76193deda13f8d6dd148a4f65270268b035633e |
parent 543272 | a09e4ce9ebba8fa4a29a4833560c8ee807018c03 |
child 543274 | 20a3458753eb77001387f906994848465542775c |
push id | 123358 |
push user | btara@mozilla.com |
push date | Tue, 04 Aug 2020 20:01:08 +0000 |
treeherder | autoland@a76193deda13 [default view] [failures only] |
perfherder | [talos] [build metrics] [platform microbench] (compared to previous push) |
reviewers | jcj |
bugs | 1655105, 1652032, 1652729, 1648822, 1650702, 10000, 1653975, 1654142, 1656986 |
milestone | 81.0a1 |
first release with | nightly linux32
nightly linux64
nightly mac
nightly win32
nightly win64
|
last release without | nightly linux32
nightly linux64
nightly mac
nightly win32
nightly win64
|
--- a/build/moz.configure/nss.configure +++ b/build/moz.configure/nss.configure @@ -3,17 +3,17 @@ # This Source Code Form is subject to the terms of the Mozilla Public # License, v. 2.0. If a copy of the MPL was not distributed with this # file, You can obtain one at http://mozilla.org/MPL/2.0/. option('--with-system-nss', help='Use system NSS') imply_option('--with-system-nspr', True, when='--with-system-nss') -nss_pkg = pkg_check_modules('NSS', 'nss >= 3.55', when='--with-system-nss', config=False) +nss_pkg = pkg_check_modules('NSS', 'nss >= 3.56', when='--with-system-nss', config=False) set_config('MOZ_SYSTEM_NSS', True, when='--with-system-nss') @depends(nss_pkg, check_build_environment) def nss_config(nss_pkg, build_env): cflags = ['-I%s' % os.path.join(build_env.dist, 'include', 'nss')] libs = None
--- a/security/nss/TAG-INFO +++ b/security/nss/TAG-INFO @@ -1,1 +1,1 @@ -NSS_3_55_RTM \ No newline at end of file +afa38fb2f0b5 \ No newline at end of file
--- a/security/nss/automation/abi-check/expected-report-libnss3.so.txt +++ b/security/nss/automation/abi-check/expected-report-libnss3.so.txt @@ -1,5 +0,0 @@ - -1 Added function: - - [A] 'function CK_OBJECT_HANDLE PK11_FindEncodedCertInSlot(PK11SlotInfo*, SECItem*, void*)' {PK11_FindEncodedCertInSlot@@NSS_3.55} -
--- a/security/nss/automation/abi-check/previous-nss-release +++ b/security/nss/automation/abi-check/previous-nss-release @@ -1,1 +1,1 @@ -NSS_3_54_BRANCH +NSS_3_55_BRANCH
--- a/security/nss/cmd/bltest/blapitest.c +++ b/security/nss/cmd/bltest/blapitest.c @@ -603,19 +603,21 @@ typedef SECStatus (*bltestHashCipherFn)( * is_pubkeyCipher / is_hashCipher / is_sigCipher */ typedef enum { bltestINVALID = -1, bltestDES_ECB, /* Symmetric Key Ciphers */ bltestDES_CBC, /* . */ bltestDES_EDE_ECB, /* . */ bltestDES_EDE_CBC, /* . */ - bltestRC2_ECB, /* . */ - bltestRC2_CBC, /* . */ - bltestRC4, /* . */ +#ifndef NSS_DISABLE_DEPRECATED_RC2 + bltestRC2_ECB, /* . */ + bltestRC2_CBC, /* . */ +#endif + bltestRC4, /* . */ #ifdef NSS_SOFTOKEN_DOES_RC5 bltestRC5_ECB, /* . */ bltestRC5_CBC, /* . */ #endif bltestAES_ECB, /* . */ bltestAES_CBC, /* . */ bltestAES_CTS, /* . */ bltestAES_CTR, /* . */ @@ -643,18 +645,20 @@ typedef enum { } bltestCipherMode; static char *mode_strings[] = { "des_ecb", "des_cbc", "des3_ecb", "des3_cbc", +#ifndef NSS_DISABLE_DEPRECATED_RC2 "rc2_ecb", "rc2_cbc", +#endif "rc4", #ifdef NSS_SOFTOKEN_DOES_RC5 "rc5_ecb", "rc5_cbc", #endif "aes_ecb", "aes_cbc", "aes_cts", @@ -874,17 +878,19 @@ is_sigCipher(bltestCipherMode mode) PRBool cipher_requires_IV(bltestCipherMode mode) { /* change as needed! */ switch (mode) { case bltestDES_CBC: case bltestDES_EDE_CBC: +#ifndef NSS_DISABLE_DEPRECATED_RC2 case bltestRC2_CBC: +#endif #ifdef NSS_SOFTOKEN_DOES_RC5 case bltestRC5_CBC: #endif case bltestAES_CBC: case bltestAES_CTS: case bltestAES_CTR: case bltestAES_GCM: case bltestCAMELLIA_CBC: @@ -1083,16 +1089,17 @@ SECStatus des_Decrypt(void *cx, unsigned char *output, unsigned int *outputLen, unsigned int maxOutputLen, const unsigned char *input, unsigned int inputLen) { return DES_Decrypt((DESContext *)cx, output, outputLen, maxOutputLen, input, inputLen); } +#ifndef NSS_DISABLE_DEPRECATED_RC2 SECStatus rc2_Encrypt(void *cx, unsigned char *output, unsigned int *outputLen, unsigned int maxOutputLen, const unsigned char *input, unsigned int inputLen) { return RC2_Encrypt((RC2Context *)cx, output, outputLen, maxOutputLen, input, inputLen); } @@ -1100,16 +1107,17 @@ rc2_Encrypt(void *cx, unsigned char *out SECStatus rc2_Decrypt(void *cx, unsigned char *output, unsigned int *outputLen, unsigned int maxOutputLen, const unsigned char *input, unsigned int inputLen) { return RC2_Decrypt((RC2Context *)cx, output, outputLen, maxOutputLen, input, inputLen); } +#endif /* NSS_DISABLE_DEPRECATED_RC2 */ SECStatus rc4_Encrypt(void *cx, unsigned char *output, unsigned int *outputLen, unsigned int maxOutputLen, const unsigned char *input, unsigned int inputLen) { return RC4_Encrypt((RC4Context *)cx, output, outputLen, maxOutputLen, input, inputLen); @@ -1368,16 +1376,17 @@ bltest_des_init(bltestCipherInfo *cipher } if (encrypt) cipherInfo->cipher.symmkeyCipher = des_Encrypt; else cipherInfo->cipher.symmkeyCipher = des_Decrypt; return SECSuccess; } +#ifndef NSS_DISABLE_DEPRECATED_RC2 SECStatus bltest_rc2_init(bltestCipherInfo *cipherInfo, PRBool encrypt) { PRIntervalTime time1, time2; bltestSymmKeyParams *rc2p = &cipherInfo->params.sk; int minorMode; int i; switch (cipherInfo->mode) { @@ -1413,16 +1422,17 @@ bltest_rc2_init(bltestCipherInfo *cipher PORT_Free(dummycx); } if (encrypt) cipherInfo->cipher.symmkeyCipher = rc2_Encrypt; else cipherInfo->cipher.symmkeyCipher = rc2_Decrypt; return SECSuccess; } +#endif /* NSS_DISABLE_DEPRECATED_RC2 */ SECStatus bltest_rc4_init(bltestCipherInfo *cipherInfo, PRBool encrypt) { PRIntervalTime time1, time2; int i; bltestSymmKeyParams *rc4p = &cipherInfo->params.sk; cipherInfo->cx = (void *)RC4_CreateContext(rc4p->key.buf.data, @@ -2254,22 +2264,24 @@ cipherInit(bltestCipherInfo *cipherInfo, case bltestDES_ECB: case bltestDES_CBC: case bltestDES_EDE_ECB: case bltestDES_EDE_CBC: SECITEM_AllocItem(cipherInfo->arena, &cipherInfo->output.buf, cipherInfo->input.pBuf.len); return bltest_des_init(cipherInfo, encrypt); break; +#ifndef NSS_DISABLE_DEPRECATED_RC2 case bltestRC2_ECB: case bltestRC2_CBC: SECITEM_AllocItem(cipherInfo->arena, &cipherInfo->output.buf, cipherInfo->input.pBuf.len); return bltest_rc2_init(cipherInfo, encrypt); break; +#endif /* NSS_DISABLE_DEPRECATED_RC2 */ case bltestRC4: SECITEM_AllocItem(cipherInfo->arena, &cipherInfo->output.buf, cipherInfo->input.pBuf.len); return bltest_rc4_init(cipherInfo, encrypt); break; #ifdef NSS_SOFTOKEN_DOES_RC5 case bltestRC5_ECB: case bltestRC5_CBC: @@ -2608,20 +2620,22 @@ cipherFinish(bltestCipherInfo *cipherInf SEED_DestroyContext((SEEDContext *)cipherInfo->cx, PR_TRUE); break; #endif /* NSS_DISABLE_DEPRECATED_SEED */ case bltestCHACHA20: ChaCha20Poly1305_DestroyContext((ChaCha20Poly1305Context *) cipherInfo->cx, PR_TRUE); break; +#ifndef NSS_DISABLE_DEPRECATED_RC2 case bltestRC2_ECB: case bltestRC2_CBC: RC2_DestroyContext((RC2Context *)cipherInfo->cx, PR_TRUE); break; +#endif /* NSS_DISABLE_DEPRECATED_RC2 */ case bltestRC4: RC4_DestroyContext((RC4Context *)cipherInfo->cx, PR_TRUE); break; #ifdef NSS_SOFTOKEN_DOES_RC5 case bltestRC5_ECB: case bltestRC5_CBC: RC5_DestroyContext((RC5Context *)cipherInfo->cx, PR_TRUE); break; @@ -2764,18 +2778,20 @@ print_td: case bltestAES_CTR: case bltestAES_GCM: case bltestCAMELLIA_ECB: case bltestCAMELLIA_CBC: #ifndef NSS_DISABLE_DEPRECATED_SEED case bltestSEED_ECB: case bltestSEED_CBC: #endif +#ifndef NSS_DISABLE_DEPRECATED_RC2 case bltestRC2_ECB: case bltestRC2_CBC: +#endif case bltestRC4: if (td) fprintf(stdout, "%8s", "symmkey"); else fprintf(stdout, "%8d", 8 * info->params.sk.key.buf.len); break; #ifdef NSS_SOFTOKEN_DOES_RC5 case bltestRC5_ECB: @@ -2949,29 +2965,33 @@ get_params(PLArenaPool *arena, bltestPar #endif switch (mode) { case bltestAES_GCM: case bltestCHACHA20: sprintf(filename, "%s/tests/%s/%s%d", testdir, modestr, "aad", j); load_file_data(arena, ¶ms->ask.aad, filename, bltestBinary); case bltestDES_CBC: case bltestDES_EDE_CBC: +#ifndef NSS_DISABLE_DEPRECATED_RC2 case bltestRC2_CBC: +#endif case bltestAES_CBC: case bltestAES_CTS: case bltestAES_CTR: case bltestCAMELLIA_CBC: #ifndef NSS_DISABLE_DEPRECATED_SEED case bltestSEED_CBC: #endif sprintf(filename, "%s/tests/%s/%s%d", testdir, modestr, "iv", j); load_file_data(arena, ¶ms->sk.iv, filename, bltestBinary); case bltestDES_ECB: case bltestDES_EDE_ECB: +#ifndef NSS_DISABLE_DEPRECATED_RC2 case bltestRC2_ECB: +#endif case bltestRC4: case bltestAES_ECB: case bltestCAMELLIA_ECB: #ifndef NSS_DISABLE_DEPRECATED_SEED case bltestSEED_ECB: #endif sprintf(filename, "%s/tests/%s/%s%d", testdir, modestr, "key", j); load_file_data(arena, ¶ms->sk.key, filename, bltestBinary);
--- a/security/nss/coreconf/config.gypi +++ b/security/nss/coreconf/config.gypi @@ -92,20 +92,22 @@ 'dll_prefix': '<(dll_prefix)', 'dll_suffix': '<(dll_suffix)', 'freebl_name': '<(freebl_name)', 'cc_is_clang%': '<(cc_is_clang)', 'cc_is_gcc%': '<(cc_is_gcc)', 'cc_use_gnu_ld%': '<(cc_use_gnu_ld)', # Some defaults 'disable_arm_hw_aes%': 0, + 'disable_arm_hw_sha1%': 0, 'disable_arm_hw_sha2%': 0, 'disable_tests%': 0, 'disable_chachapoly%': 0, 'disable_deprecated_seed%': 0, + 'disable_deprecated_rc2%': 0, 'disable_dbm%': 1, 'disable_libpkix%': 1, 'disable_werror%': 0, 'disable_altivec%': 0, 'disable_arm32_neon%': 0, 'mozilla_client%': 0, 'comm_client%': 0, 'moz_fold_libs%': 0, @@ -571,16 +573,21 @@ 'NSS_DISABLE_LIBPKIX', ], }], [ 'disable_deprecated_seed==1', { 'defines': [ 'NSS_DISABLE_DEPRECATED_SEED', ], }], + [ 'disable_deprecated_rc2==1', { + 'defines': [ + 'NSS_DISABLE_DEPRECATED_RC2', + ], + }], ], }, # Common settings for debug should go here. 'Debug': { 'inherit_from': ['Common'], 'conditions': [ [ 'OS!="mac" and OS!="ios" and OS!="win"', { 'cflags': [
--- a/security/nss/coreconf/config.mk +++ b/security/nss/coreconf/config.mk @@ -157,16 +157,20 @@ endif ifdef NSS_DISABLE_CHACHAPOLY DEFINES += -DNSS_DISABLE_CHACHAPOLY endif ifdef NSS_DISABLE_DEPRECATED_SEED DEFINES += -DNSS_DISABLE_DEPRECATED_SEED endif +ifdef NSS_DISABLE_DEPRECATED_RC2 +DEFINES += -DNSS_DISABLE_DEPRECATED_RC2 +endif + ifdef NSS_PKIX_NO_LDAP DEFINES += -DNSS_PKIX_NO_LDAP endif # FIPS support requires startup tests to be executed at load time of shared modules. # For performance reasons, these tests are disabled by default. # When compiling binaries that must support FIPS mode, # you should define NSS_FORCE_FIPS
--- a/security/nss/coreconf/coreconf.dep +++ b/security/nss/coreconf/coreconf.dep @@ -5,8 +5,9 @@ /* * A dummy header file that is a dependency for all the object files. * Used to force a full recompilation of NSS in Mozilla's Tinderbox * depend builds. See comments in rules.mk. */ #error "Do not include this header file." +
--- a/security/nss/coreconf/detect_host_arch.py +++ b/security/nss/coreconf/detect_host_arch.py @@ -10,16 +10,18 @@ import fnmatch import platform def main(): host_arch = platform.machine().lower() if host_arch in ('amd64', 'x86_64'): host_arch = 'x64' elif fnmatch.fnmatch(host_arch, 'i?86') or host_arch == 'i86pc': host_arch = 'ia32' + elif host_arch == 'arm64': + pass elif host_arch.startswith('arm'): host_arch = 'arm' elif host_arch.startswith('mips'): host_arch = 'mips' print(host_arch) if __name__ == '__main__': main()
--- a/security/nss/gtests/softoken_gtest/manifest.mn +++ b/security/nss/gtests/softoken_gtest/manifest.mn @@ -20,16 +20,17 @@ CPPSRCS = \ $(NULL) INCLUDES += \ -I$(CORE_DEPTH)/gtests/google_test/gtest/include \ -I$(CORE_DEPTH)/gtests/common \ -I$(CORE_DEPTH)/cpputil \ $(NULL) -REQUIRES = nspr gtest +REQUIRES = nspr gtest cpputil PROGRAM = softoken_gtest EXTRA_LIBS = \ $(DIST)/lib/$(LIB_PREFIX)gtest.$(LIB_SUFFIX) \ + $(DIST)/lib/$(LIB_PREFIX)cpputil.$(LIB_SUFFIX) \ $(DIST)/lib/$(LIB_PREFIX)gtestutil.$(LIB_SUFFIX) \ $(NULL)
new file mode 100644 --- /dev/null +++ b/security/nss/gtests/softoken_gtest/softoken_dh_vectors.h @@ -0,0 +1,3411 @@ +/* This Source Code Form is subject to the terms of the Mozilla Public + * License, v. 2.0. If a copy of the MPL was not distributed with this + * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ + +/* If you want the full range of tests, compile with + * -DNSS_SOFTOKEN_DH_INCLUDE_SLOW. These tests could take minuts on a fast + * PC and longer on a slow mac */ + +namespace nss_test { +/* first list the primes we want to test */ + +/* known primes */ +/* IKE 1536 prime is: 2^1536 - 2^1472 - 1 + 2^64 * { [2^1406 pi] + 741804 } */ +static const unsigned char prime_ike_1536[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x23, 0x73, 0x27, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF}; + +/* IKE 2048 prime is: 2^2048 - 2^1984 - 1 + 2^64 * { [2^1918 pi] + 124476 } */ +static const unsigned char prime_ike_2048[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, + 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2, + 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, + 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C, + 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, + 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAC, 0xAA, 0x68, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF}; + +/* TLS 2048 prime is: 2^2048 - 2^1984 + {[2^1918 * e] + 560316 } * 2^64 - 1 */ +static const unsigned char prime_tls_2048[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x28, 0x5C, 0x97, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF}; + +/* IKE 3072 prime is: 2^3072 - 2^3008 - 1 + 2^64 * { [2^2942 pi] + 1690314 } */ +static const unsigned char prime_ike_3072[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, + 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2, + 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, + 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C, + 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, + 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D, + 0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64, + 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57, + 0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7, + 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0, + 0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B, + 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73, + 0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C, + 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0, + 0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31, + 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20, + 0xA9, 0x3A, 0xD2, 0xCA, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF}; + +/* TLS 3072 prime is: 2^3072 - 2^3008 + {[2^2942 * e] + 2625351} * 2^64 - 1 */ +static const unsigned char prime_tls_3072[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B, + 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, + 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26, + 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, + 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93, + 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, + 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB, + 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, + 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42, + 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, + 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B, + 0x66, 0xC6, 0x2E, 0x37, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF}; + +/* IKE 4096 prime is: 2^4096 - 2^4032 - 1 + 2^64 * { [2^3966 pi] + 240904 } */ +static const unsigned char prime_ike_4096[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, + 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2, + 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, + 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C, + 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, + 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D, + 0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64, + 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57, + 0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7, + 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0, + 0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B, + 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73, + 0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C, + 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0, + 0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31, + 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20, + 0xA9, 0x21, 0x08, 0x01, 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7, + 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26, 0x99, 0xC3, 0x27, 0x18, + 0x6A, 0xF4, 0xE2, 0x3C, 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA, + 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8, 0xDB, 0xBB, 0xC2, 0xDB, + 0x04, 0xDE, 0x8E, 0xF9, 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6, + 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D, 0x99, 0xB2, 0x96, 0x4F, + 0xA0, 0x90, 0xC3, 0xA2, 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED, + 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF, 0xB8, 0x1B, 0xDD, 0x76, + 0x21, 0x70, 0x48, 0x1C, 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9, + 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1, 0x86, 0xFF, 0xB7, 0xDC, + 0x90, 0xA6, 0xC0, 0x8F, 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x06, 0x31, 0x99, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF}; + +/* TLS 4096 prime is: 2^4096 - 2^4032 + {[2^3966 * e] + 5736041} * 2^64 - 1 */ +static const unsigned char prime_tls_4096[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B, + 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, + 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26, + 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, + 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93, + 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, + 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB, + 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, + 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42, + 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, + 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B, + 0x66, 0x9E, 0x1E, 0xF1, 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, + 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, 0xAC, 0x7D, 0x5F, 0x42, + 0xD6, 0x9F, 0x6D, 0x18, 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, + 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, 0x71, 0x35, 0xC8, 0x86, + 0xEF, 0xB4, 0x31, 0x8A, 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, + 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, 0x6D, 0xC7, 0x78, 0xF9, + 0x71, 0xAD, 0x00, 0x38, 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, + 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, 0x2A, 0x4E, 0xCE, 0xA9, + 0xF9, 0x8D, 0x0A, 0xCC, 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, + 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, 0x4D, 0xB5, 0xA8, 0x51, + 0xF4, 0x41, 0x82, 0xE1, 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x65, 0x5F, 0x6A, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF}; + +/* IKE 6144 prime is: 2^6144 - 2^6080 - 1 + 2^64 * { [2^6014 pi] + 929484 } */ +static const unsigned char prime_ike_6144[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, + 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2, + 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, + 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C, + 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, + 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D, + 0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64, + 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57, + 0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7, + 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0, + 0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B, + 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73, + 0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C, + 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0, + 0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31, + 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20, + 0xA9, 0x21, 0x08, 0x01, 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7, + 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26, 0x99, 0xC3, 0x27, 0x18, + 0x6A, 0xF4, 0xE2, 0x3C, 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA, + 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8, 0xDB, 0xBB, 0xC2, 0xDB, + 0x04, 0xDE, 0x8E, 0xF9, 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6, + 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D, 0x99, 0xB2, 0x96, 0x4F, + 0xA0, 0x90, 0xC3, 0xA2, 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED, + 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF, 0xB8, 0x1B, 0xDD, 0x76, + 0x21, 0x70, 0x48, 0x1C, 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9, + 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1, 0x86, 0xFF, 0xB7, 0xDC, + 0x90, 0xA6, 0xC0, 0x8F, 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x02, 0x84, 0x92, + 0x36, 0xC3, 0xFA, 0xB4, 0xD2, 0x7C, 0x70, 0x26, 0xC1, 0xD4, 0xDC, 0xB2, + 0x60, 0x26, 0x46, 0xDE, 0xC9, 0x75, 0x1E, 0x76, 0x3D, 0xBA, 0x37, 0xBD, + 0xF8, 0xFF, 0x94, 0x06, 0xAD, 0x9E, 0x53, 0x0E, 0xE5, 0xDB, 0x38, 0x2F, + 0x41, 0x30, 0x01, 0xAE, 0xB0, 0x6A, 0x53, 0xED, 0x90, 0x27, 0xD8, 0x31, + 0x17, 0x97, 0x27, 0xB0, 0x86, 0x5A, 0x89, 0x18, 0xDA, 0x3E, 0xDB, 0xEB, + 0xCF, 0x9B, 0x14, 0xED, 0x44, 0xCE, 0x6C, 0xBA, 0xCE, 0xD4, 0xBB, 0x1B, + 0xDB, 0x7F, 0x14, 0x47, 0xE6, 0xCC, 0x25, 0x4B, 0x33, 0x20, 0x51, 0x51, + 0x2B, 0xD7, 0xAF, 0x42, 0x6F, 0xB8, 0xF4, 0x01, 0x37, 0x8C, 0xD2, 0xBF, + 0x59, 0x83, 0xCA, 0x01, 0xC6, 0x4B, 0x92, 0xEC, 0xF0, 0x32, 0xEA, 0x15, + 0xD1, 0x72, 0x1D, 0x03, 0xF4, 0x82, 0xD7, 0xCE, 0x6E, 0x74, 0xFE, 0xF6, + 0xD5, 0x5E, 0x70, 0x2F, 0x46, 0x98, 0x0C, 0x82, 0xB5, 0xA8, 0x40, 0x31, + 0x90, 0x0B, 0x1C, 0x9E, 0x59, 0xE7, 0xC9, 0x7F, 0xBE, 0xC7, 0xE8, 0xF3, + 0x23, 0xA9, 0x7A, 0x7E, 0x36, 0xCC, 0x88, 0xBE, 0x0F, 0x1D, 0x45, 0xB7, + 0xFF, 0x58, 0x5A, 0xC5, 0x4B, 0xD4, 0x07, 0xB2, 0x2B, 0x41, 0x54, 0xAA, + 0xCC, 0x8F, 0x6D, 0x7E, 0xBF, 0x48, 0xE1, 0xD8, 0x14, 0xCC, 0x5E, 0xD2, + 0x0F, 0x80, 0x37, 0xE0, 0xA7, 0x97, 0x15, 0xEE, 0xF2, 0x9B, 0xE3, 0x28, + 0x06, 0xA1, 0xD5, 0x8B, 0xB7, 0xC5, 0xDA, 0x76, 0xF5, 0x50, 0xAA, 0x3D, + 0x8A, 0x1F, 0xBF, 0xF0, 0xEB, 0x19, 0xCC, 0xB1, 0xA3, 0x13, 0xD5, 0x5C, + 0xDA, 0x56, 0xC9, 0xEC, 0x2E, 0xF2, 0x96, 0x32, 0x38, 0x7F, 0xE8, 0xD7, + 0x6E, 0x3C, 0x04, 0x68, 0x04, 0x3E, 0x8F, 0x66, 0x3F, 0x48, 0x60, 0xEE, + 0x12, 0xBF, 0x2D, 0x5B, 0x0B, 0x74, 0x74, 0xD6, 0xE6, 0x94, 0xF9, 0x1E, + 0x6D, 0xCC, 0x40, 0x24, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF}; + +/* TLS 6144 prime is: 2^6144 - 2^6080 + {[2^6014 * e] + 15705020} * 2^64 - 1 */ +static const unsigned char prime_tls_6144[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B, + 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, + 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26, + 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, + 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93, + 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, + 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB, + 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, + 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42, + 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, + 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B, + 0x66, 0x9E, 0x1E, 0xF1, 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, + 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, 0xAC, 0x7D, 0x5F, 0x42, + 0xD6, 0x9F, 0x6D, 0x18, 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, + 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, 0x71, 0x35, 0xC8, 0x86, + 0xEF, 0xB4, 0x31, 0x8A, 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, + 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, 0x6D, 0xC7, 0x78, 0xF9, + 0x71, 0xAD, 0x00, 0x38, 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, + 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, 0x2A, 0x4E, 0xCE, 0xA9, + 0xF9, 0x8D, 0x0A, 0xCC, 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, + 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, 0x4D, 0xB5, 0xA8, 0x51, + 0xF4, 0x41, 0x82, 0xE1, 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x0D, 0xD9, 0x02, + 0x0B, 0xFD, 0x64, 0xB6, 0x45, 0x03, 0x6C, 0x7A, 0x4E, 0x67, 0x7D, 0x2C, + 0x38, 0x53, 0x2A, 0x3A, 0x23, 0xBA, 0x44, 0x42, 0xCA, 0xF5, 0x3E, 0xA6, + 0x3B, 0xB4, 0x54, 0x32, 0x9B, 0x76, 0x24, 0xC8, 0x91, 0x7B, 0xDD, 0x64, + 0xB1, 0xC0, 0xFD, 0x4C, 0xB3, 0x8E, 0x8C, 0x33, 0x4C, 0x70, 0x1C, 0x3A, + 0xCD, 0xAD, 0x06, 0x57, 0xFC, 0xCF, 0xEC, 0x71, 0x9B, 0x1F, 0x5C, 0x3E, + 0x4E, 0x46, 0x04, 0x1F, 0x38, 0x81, 0x47, 0xFB, 0x4C, 0xFD, 0xB4, 0x77, + 0xA5, 0x24, 0x71, 0xF7, 0xA9, 0xA9, 0x69, 0x10, 0xB8, 0x55, 0x32, 0x2E, + 0xDB, 0x63, 0x40, 0xD8, 0xA0, 0x0E, 0xF0, 0x92, 0x35, 0x05, 0x11, 0xE3, + 0x0A, 0xBE, 0xC1, 0xFF, 0xF9, 0xE3, 0xA2, 0x6E, 0x7F, 0xB2, 0x9F, 0x8C, + 0x18, 0x30, 0x23, 0xC3, 0x58, 0x7E, 0x38, 0xDA, 0x00, 0x77, 0xD9, 0xB4, + 0x76, 0x3E, 0x4E, 0x4B, 0x94, 0xB2, 0xBB, 0xC1, 0x94, 0xC6, 0x65, 0x1E, + 0x77, 0xCA, 0xF9, 0x92, 0xEE, 0xAA, 0xC0, 0x23, 0x2A, 0x28, 0x1B, 0xF6, + 0xB3, 0xA7, 0x39, 0xC1, 0x22, 0x61, 0x16, 0x82, 0x0A, 0xE8, 0xDB, 0x58, + 0x47, 0xA6, 0x7C, 0xBE, 0xF9, 0xC9, 0x09, 0x1B, 0x46, 0x2D, 0x53, 0x8C, + 0xD7, 0x2B, 0x03, 0x74, 0x6A, 0xE7, 0x7F, 0x5E, 0x62, 0x29, 0x2C, 0x31, + 0x15, 0x62, 0xA8, 0x46, 0x50, 0x5D, 0xC8, 0x2D, 0xB8, 0x54, 0x33, 0x8A, + 0xE4, 0x9F, 0x52, 0x35, 0xC9, 0x5B, 0x91, 0x17, 0x8C, 0xCF, 0x2D, 0xD5, + 0xCA, 0xCE, 0xF4, 0x03, 0xEC, 0x9D, 0x18, 0x10, 0xC6, 0x27, 0x2B, 0x04, + 0x5B, 0x3B, 0x71, 0xF9, 0xDC, 0x6B, 0x80, 0xD6, 0x3F, 0xDD, 0x4A, 0x8E, + 0x9A, 0xDB, 0x1E, 0x69, 0x62, 0xA6, 0x95, 0x26, 0xD4, 0x31, 0x61, 0xC1, + 0xA4, 0x1D, 0x57, 0x0D, 0x79, 0x38, 0xDA, 0xD4, 0xA4, 0x0E, 0x32, 0x9C, + 0xD0, 0xE4, 0x0E, 0x65, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF}; + +/* IKE 8192 prime is: 2^8192 - 2^8128 - 1 + 2^64 * { [2^8062 pi] + 4743158 } */ +static const unsigned char prime_ike_8192[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, + 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2, + 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, + 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C, + 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, + 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D, + 0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64, + 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57, + 0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7, + 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0, + 0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B, + 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73, + 0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C, + 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0, + 0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31, + 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20, + 0xA9, 0x21, 0x08, 0x01, 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7, + 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26, 0x99, 0xC3, 0x27, 0x18, + 0x6A, 0xF4, 0xE2, 0x3C, 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA, + 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8, 0xDB, 0xBB, 0xC2, 0xDB, + 0x04, 0xDE, 0x8E, 0xF9, 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6, + 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D, 0x99, 0xB2, 0x96, 0x4F, + 0xA0, 0x90, 0xC3, 0xA2, 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED, + 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF, 0xB8, 0x1B, 0xDD, 0x76, + 0x21, 0x70, 0x48, 0x1C, 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9, + 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1, 0x86, 0xFF, 0xB7, 0xDC, + 0x90, 0xA6, 0xC0, 0x8F, 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x02, 0x84, 0x92, + 0x36, 0xC3, 0xFA, 0xB4, 0xD2, 0x7C, 0x70, 0x26, 0xC1, 0xD4, 0xDC, 0xB2, + 0x60, 0x26, 0x46, 0xDE, 0xC9, 0x75, 0x1E, 0x76, 0x3D, 0xBA, 0x37, 0xBD, + 0xF8, 0xFF, 0x94, 0x06, 0xAD, 0x9E, 0x53, 0x0E, 0xE5, 0xDB, 0x38, 0x2F, + 0x41, 0x30, 0x01, 0xAE, 0xB0, 0x6A, 0x53, 0xED, 0x90, 0x27, 0xD8, 0x31, + 0x17, 0x97, 0x27, 0xB0, 0x86, 0x5A, 0x89, 0x18, 0xDA, 0x3E, 0xDB, 0xEB, + 0xCF, 0x9B, 0x14, 0xED, 0x44, 0xCE, 0x6C, 0xBA, 0xCE, 0xD4, 0xBB, 0x1B, + 0xDB, 0x7F, 0x14, 0x47, 0xE6, 0xCC, 0x25, 0x4B, 0x33, 0x20, 0x51, 0x51, + 0x2B, 0xD7, 0xAF, 0x42, 0x6F, 0xB8, 0xF4, 0x01, 0x37, 0x8C, 0xD2, 0xBF, + 0x59, 0x83, 0xCA, 0x01, 0xC6, 0x4B, 0x92, 0xEC, 0xF0, 0x32, 0xEA, 0x15, + 0xD1, 0x72, 0x1D, 0x03, 0xF4, 0x82, 0xD7, 0xCE, 0x6E, 0x74, 0xFE, 0xF6, + 0xD5, 0x5E, 0x70, 0x2F, 0x46, 0x98, 0x0C, 0x82, 0xB5, 0xA8, 0x40, 0x31, + 0x90, 0x0B, 0x1C, 0x9E, 0x59, 0xE7, 0xC9, 0x7F, 0xBE, 0xC7, 0xE8, 0xF3, + 0x23, 0xA9, 0x7A, 0x7E, 0x36, 0xCC, 0x88, 0xBE, 0x0F, 0x1D, 0x45, 0xB7, + 0xFF, 0x58, 0x5A, 0xC5, 0x4B, 0xD4, 0x07, 0xB2, 0x2B, 0x41, 0x54, 0xAA, + 0xCC, 0x8F, 0x6D, 0x7E, 0xBF, 0x48, 0xE1, 0xD8, 0x14, 0xCC, 0x5E, 0xD2, + 0x0F, 0x80, 0x37, 0xE0, 0xA7, 0x97, 0x15, 0xEE, 0xF2, 0x9B, 0xE3, 0x28, + 0x06, 0xA1, 0xD5, 0x8B, 0xB7, 0xC5, 0xDA, 0x76, 0xF5, 0x50, 0xAA, 0x3D, + 0x8A, 0x1F, 0xBF, 0xF0, 0xEB, 0x19, 0xCC, 0xB1, 0xA3, 0x13, 0xD5, 0x5C, + 0xDA, 0x56, 0xC9, 0xEC, 0x2E, 0xF2, 0x96, 0x32, 0x38, 0x7F, 0xE8, 0xD7, + 0x6E, 0x3C, 0x04, 0x68, 0x04, 0x3E, 0x8F, 0x66, 0x3F, 0x48, 0x60, 0xEE, + 0x12, 0xBF, 0x2D, 0x5B, 0x0B, 0x74, 0x74, 0xD6, 0xE6, 0x94, 0xF9, 0x1E, + 0x6D, 0xBE, 0x11, 0x59, 0x74, 0xA3, 0x92, 0x6F, 0x12, 0xFE, 0xE5, 0xE4, + 0x38, 0x77, 0x7C, 0xB6, 0xA9, 0x32, 0xDF, 0x8C, 0xD8, 0xBE, 0xC4, 0xD0, + 0x73, 0xB9, 0x31, 0xBA, 0x3B, 0xC8, 0x32, 0xB6, 0x8D, 0x9D, 0xD3, 0x00, + 0x74, 0x1F, 0xA7, 0xBF, 0x8A, 0xFC, 0x47, 0xED, 0x25, 0x76, 0xF6, 0x93, + 0x6B, 0xA4, 0x24, 0x66, 0x3A, 0xAB, 0x63, 0x9C, 0x5A, 0xE4, 0xF5, 0x68, + 0x34, 0x23, 0xB4, 0x74, 0x2B, 0xF1, 0xC9, 0x78, 0x23, 0x8F, 0x16, 0xCB, + 0xE3, 0x9D, 0x65, 0x2D, 0xE3, 0xFD, 0xB8, 0xBE, 0xFC, 0x84, 0x8A, 0xD9, + 0x22, 0x22, 0x2E, 0x04, 0xA4, 0x03, 0x7C, 0x07, 0x13, 0xEB, 0x57, 0xA8, + 0x1A, 0x23, 0xF0, 0xC7, 0x34, 0x73, 0xFC, 0x64, 0x6C, 0xEA, 0x30, 0x6B, + 0x4B, 0xCB, 0xC8, 0x86, 0x2F, 0x83, 0x85, 0xDD, 0xFA, 0x9D, 0x4B, 0x7F, + 0xA2, 0xC0, 0x87, 0xE8, 0x79, 0x68, 0x33, 0x03, 0xED, 0x5B, 0xDD, 0x3A, + 0x06, 0x2B, 0x3C, 0xF5, 0xB3, 0xA2, 0x78, 0xA6, 0x6D, 0x2A, 0x13, 0xF8, + 0x3F, 0x44, 0xF8, 0x2D, 0xDF, 0x31, 0x0E, 0xE0, 0x74, 0xAB, 0x6A, 0x36, + 0x45, 0x97, 0xE8, 0x99, 0xA0, 0x25, 0x5D, 0xC1, 0x64, 0xF3, 0x1C, 0xC5, + 0x08, 0x46, 0x85, 0x1D, 0xF9, 0xAB, 0x48, 0x19, 0x5D, 0xED, 0x7E, 0xA1, + 0xB1, 0xD5, 0x10, 0xBD, 0x7E, 0xE7, 0x4D, 0x73, 0xFA, 0xF3, 0x6B, 0xC3, + 0x1E, 0xCF, 0xA2, 0x68, 0x35, 0x90, 0x46, 0xF4, 0xEB, 0x87, 0x9F, 0x92, + 0x40, 0x09, 0x43, 0x8B, 0x48, 0x1C, 0x6C, 0xD7, 0x88, 0x9A, 0x00, 0x2E, + 0xD5, 0xEE, 0x38, 0x2B, 0xC9, 0x19, 0x0D, 0xA6, 0xFC, 0x02, 0x6E, 0x47, + 0x95, 0x58, 0xE4, 0x47, 0x56, 0x77, 0xE9, 0xAA, 0x9E, 0x30, 0x50, 0xE2, + 0x76, 0x56, 0x94, 0xDF, 0xC8, 0x1F, 0x56, 0xE8, 0x80, 0xB9, 0x6E, 0x71, + 0x60, 0xC9, 0x80, 0xDD, 0x98, 0xED, 0xD3, 0xDF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF}; + +/* TLS 8192 prime is: 2^8192 - 2^8128 + {[2^8062 * e] + 10965728} * 2^64 - 1 */ +static const unsigned char prime_tls_8192[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B, + 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, + 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26, + 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, + 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93, + 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, + 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB, + 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, + 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42, + 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, + 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B, + 0x66, 0x9E, 0x1E, 0xF1, 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, + 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, 0xAC, 0x7D, 0x5F, 0x42, + 0xD6, 0x9F, 0x6D, 0x18, 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, + 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, 0x71, 0x35, 0xC8, 0x86, + 0xEF, 0xB4, 0x31, 0x8A, 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, + 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, 0x6D, 0xC7, 0x78, 0xF9, + 0x71, 0xAD, 0x00, 0x38, 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, + 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, 0x2A, 0x4E, 0xCE, 0xA9, + 0xF9, 0x8D, 0x0A, 0xCC, 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, + 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, 0x4D, 0xB5, 0xA8, 0x51, + 0xF4, 0x41, 0x82, 0xE1, 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x0D, 0xD9, 0x02, + 0x0B, 0xFD, 0x64, 0xB6, 0x45, 0x03, 0x6C, 0x7A, 0x4E, 0x67, 0x7D, 0x2C, + 0x38, 0x53, 0x2A, 0x3A, 0x23, 0xBA, 0x44, 0x42, 0xCA, 0xF5, 0x3E, 0xA6, + 0x3B, 0xB4, 0x54, 0x32, 0x9B, 0x76, 0x24, 0xC8, 0x91, 0x7B, 0xDD, 0x64, + 0xB1, 0xC0, 0xFD, 0x4C, 0xB3, 0x8E, 0x8C, 0x33, 0x4C, 0x70, 0x1C, 0x3A, + 0xCD, 0xAD, 0x06, 0x57, 0xFC, 0xCF, 0xEC, 0x71, 0x9B, 0x1F, 0x5C, 0x3E, + 0x4E, 0x46, 0x04, 0x1F, 0x38, 0x81, 0x47, 0xFB, 0x4C, 0xFD, 0xB4, 0x77, + 0xA5, 0x24, 0x71, 0xF7, 0xA9, 0xA9, 0x69, 0x10, 0xB8, 0x55, 0x32, 0x2E, + 0xDB, 0x63, 0x40, 0xD8, 0xA0, 0x0E, 0xF0, 0x92, 0x35, 0x05, 0x11, 0xE3, + 0x0A, 0xBE, 0xC1, 0xFF, 0xF9, 0xE3, 0xA2, 0x6E, 0x7F, 0xB2, 0x9F, 0x8C, + 0x18, 0x30, 0x23, 0xC3, 0x58, 0x7E, 0x38, 0xDA, 0x00, 0x77, 0xD9, 0xB4, + 0x76, 0x3E, 0x4E, 0x4B, 0x94, 0xB2, 0xBB, 0xC1, 0x94, 0xC6, 0x65, 0x1E, + 0x77, 0xCA, 0xF9, 0x92, 0xEE, 0xAA, 0xC0, 0x23, 0x2A, 0x28, 0x1B, 0xF6, + 0xB3, 0xA7, 0x39, 0xC1, 0x22, 0x61, 0x16, 0x82, 0x0A, 0xE8, 0xDB, 0x58, + 0x47, 0xA6, 0x7C, 0xBE, 0xF9, 0xC9, 0x09, 0x1B, 0x46, 0x2D, 0x53, 0x8C, + 0xD7, 0x2B, 0x03, 0x74, 0x6A, 0xE7, 0x7F, 0x5E, 0x62, 0x29, 0x2C, 0x31, + 0x15, 0x62, 0xA8, 0x46, 0x50, 0x5D, 0xC8, 0x2D, 0xB8, 0x54, 0x33, 0x8A, + 0xE4, 0x9F, 0x52, 0x35, 0xC9, 0x5B, 0x91, 0x17, 0x8C, 0xCF, 0x2D, 0xD5, + 0xCA, 0xCE, 0xF4, 0x03, 0xEC, 0x9D, 0x18, 0x10, 0xC6, 0x27, 0x2B, 0x04, + 0x5B, 0x3B, 0x71, 0xF9, 0xDC, 0x6B, 0x80, 0xD6, 0x3F, 0xDD, 0x4A, 0x8E, + 0x9A, 0xDB, 0x1E, 0x69, 0x62, 0xA6, 0x95, 0x26, 0xD4, 0x31, 0x61, 0xC1, + 0xA4, 0x1D, 0x57, 0x0D, 0x79, 0x38, 0xDA, 0xD4, 0xA4, 0x0E, 0x32, 0x9C, + 0xCF, 0xF4, 0x6A, 0xAA, 0x36, 0xAD, 0x00, 0x4C, 0xF6, 0x00, 0xC8, 0x38, + 0x1E, 0x42, 0x5A, 0x31, 0xD9, 0x51, 0xAE, 0x64, 0xFD, 0xB2, 0x3F, 0xCE, + 0xC9, 0x50, 0x9D, 0x43, 0x68, 0x7F, 0xEB, 0x69, 0xED, 0xD1, 0xCC, 0x5E, + 0x0B, 0x8C, 0xC3, 0xBD, 0xF6, 0x4B, 0x10, 0xEF, 0x86, 0xB6, 0x31, 0x42, + 0xA3, 0xAB, 0x88, 0x29, 0x55, 0x5B, 0x2F, 0x74, 0x7C, 0x93, 0x26, 0x65, + 0xCB, 0x2C, 0x0F, 0x1C, 0xC0, 0x1B, 0xD7, 0x02, 0x29, 0x38, 0x88, 0x39, + 0xD2, 0xAF, 0x05, 0xE4, 0x54, 0x50, 0x4A, 0xC7, 0x8B, 0x75, 0x82, 0x82, + 0x28, 0x46, 0xC0, 0xBA, 0x35, 0xC3, 0x5F, 0x5C, 0x59, 0x16, 0x0C, 0xC0, + 0x46, 0xFD, 0x82, 0x51, 0x54, 0x1F, 0xC6, 0x8C, 0x9C, 0x86, 0xB0, 0x22, + 0xBB, 0x70, 0x99, 0x87, 0x6A, 0x46, 0x0E, 0x74, 0x51, 0xA8, 0xA9, 0x31, + 0x09, 0x70, 0x3F, 0xEE, 0x1C, 0x21, 0x7E, 0x6C, 0x38, 0x26, 0xE5, 0x2C, + 0x51, 0xAA, 0x69, 0x1E, 0x0E, 0x42, 0x3C, 0xFC, 0x99, 0xE9, 0xE3, 0x16, + 0x50, 0xC1, 0x21, 0x7B, 0x62, 0x48, 0x16, 0xCD, 0xAD, 0x9A, 0x95, 0xF9, + 0xD5, 0xB8, 0x01, 0x94, 0x88, 0xD9, 0xC0, 0xA0, 0xA1, 0xFE, 0x30, 0x75, + 0xA5, 0x77, 0xE2, 0x31, 0x83, 0xF8, 0x1D, 0x4A, 0x3F, 0x2F, 0xA4, 0x57, + 0x1E, 0xFC, 0x8C, 0xE0, 0xBA, 0x8A, 0x4F, 0xE8, 0xB6, 0x85, 0x5D, 0xFE, + 0x72, 0xB0, 0xA6, 0x6E, 0xDE, 0xD2, 0xFB, 0xAB, 0xFB, 0xE5, 0x8A, 0x30, + 0xFA, 0xFA, 0xBE, 0x1C, 0x5D, 0x71, 0xA8, 0x7E, 0x2F, 0x74, 0x1E, 0xF8, + 0xC1, 0xFE, 0x86, 0xFE, 0xA6, 0xBB, 0xFD, 0xE5, 0x30, 0x67, 0x7F, 0x0D, + 0x97, 0xD1, 0x1D, 0x49, 0xF7, 0xA8, 0x44, 0x3D, 0x08, 0x22, 0xE5, 0x06, + 0xA9, 0xF4, 0x61, 0x4E, 0x01, 0x1E, 0x2A, 0x94, 0x83, 0x8F, 0xF8, 0x8C, + 0xD6, 0x8C, 0x8B, 0xB7, 0xC5, 0xC6, 0x42, 0x4C, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF}; + +/* safe primes that aren't already known. These primes should pass, but + * take more processing in FIPS mode */ +static const unsigned char prime_safe_1536[] = { + 0xf7, 0x67, 0x31, 0xc8, 0x45, 0x6a, 0xd9, 0xea, 0x53, 0x0b, 0x21, 0xc7, + 0x4a, 0xfa, 0x81, 0x66, 0x76, 0x5c, 0xea, 0xb7, 0xf5, 0x11, 0x32, 0x6d, + 0xd3, 0x4c, 0x7a, 0xac, 0x39, 0x17, 0x1a, 0x87, 0xb8, 0x00, 0xd7, 0x11, + 0xc5, 0xfd, 0xe1, 0xe3, 0x65, 0x4c, 0x1f, 0x42, 0x24, 0x41, 0x1e, 0x92, + 0x42, 0xbf, 0xb6, 0x65, 0x0e, 0x72, 0x83, 0x8a, 0xb8, 0x82, 0xa6, 0x4f, + 0x9e, 0xca, 0x4f, 0xd1, 0xb1, 0x13, 0xc2, 0xfa, 0x67, 0xa1, 0x6a, 0x06, + 0x4f, 0xaf, 0x6e, 0x16, 0xd9, 0x94, 0xd8, 0xda, 0xe3, 0x66, 0x62, 0x01, + 0x1f, 0x82, 0x8f, 0x10, 0xe0, 0x2f, 0x3c, 0xa3, 0x42, 0xa8, 0xbb, 0x94, + 0x32, 0x79, 0x79, 0x7f, 0x97, 0xf8, 0x3a, 0x31, 0xaa, 0x14, 0xc7, 0xfe, + 0x13, 0x96, 0x77, 0x15, 0xbf, 0x47, 0x20, 0x57, 0x11, 0xe0, 0x4f, 0xda, + 0x7e, 0xa9, 0x19, 0x49, 0xa1, 0x8d, 0x29, 0x76, 0x8a, 0xd3, 0x9b, 0xb0, + 0xbe, 0x50, 0xc3, 0x25, 0x82, 0xf9, 0xe3, 0x21, 0x8c, 0xfd, 0xa6, 0x51, + 0xe5, 0x36, 0x7e, 0x82, 0xb6, 0x90, 0x45, 0xe1, 0xd5, 0x72, 0x56, 0xbe, + 0xc5, 0x67, 0x3d, 0x13, 0x1a, 0x39, 0x7f, 0x98, 0x33, 0xfc, 0xb4, 0x7b, + 0xa4, 0x38, 0x71, 0x87, 0x96, 0x6e, 0xe6, 0x7b, 0x77, 0xb2, 0x65, 0xfd, + 0xdf, 0x27, 0x93, 0x0c, 0x3c, 0x60, 0xdf, 0xe5, 0x33, 0xfe, 0xd7, 0x4b}; + +static const unsigned char prime_safe_2048[] = { + 0xe1, 0xa3, 0x6e, 0x49, 0x69, 0x07, 0x1c, 0x5f, 0xb4, 0x15, 0x35, 0x46, + 0x99, 0x52, 0xd0, 0x4e, 0xff, 0x4e, 0x4c, 0xb1, 0xe1, 0x59, 0xed, 0x2e, + 0x71, 0xf3, 0x80, 0x14, 0x54, 0xd0, 0xfc, 0x83, 0x20, 0x29, 0x15, 0x21, + 0xa6, 0x5f, 0x10, 0x81, 0x57, 0xf4, 0x2e, 0x49, 0xb2, 0xd1, 0x37, 0xe8, + 0x6a, 0xbf, 0x72, 0xf9, 0x55, 0x4e, 0x9e, 0xae, 0x20, 0xc5, 0xb6, 0xc5, + 0x91, 0x79, 0x0d, 0xa2, 0xdd, 0xb4, 0xbb, 0x50, 0x4e, 0x20, 0xca, 0x8a, + 0x8f, 0x82, 0x34, 0xb9, 0x6a, 0x3e, 0x9a, 0x67, 0xc2, 0x7e, 0x83, 0xf6, + 0xc0, 0xad, 0xe3, 0xca, 0x00, 0xd6, 0x11, 0x88, 0x9c, 0xc7, 0x9f, 0xb4, + 0x3d, 0x53, 0xa5, 0x5a, 0x97, 0x44, 0x4d, 0xe7, 0x5c, 0xd5, 0x76, 0x80, + 0xf8, 0x0c, 0xcd, 0xa6, 0x55, 0xe2, 0x5f, 0xcf, 0xf4, 0x46, 0xa4, 0xc7, + 0x0f, 0xc1, 0x80, 0x84, 0x65, 0x46, 0x8c, 0x87, 0xd2, 0x99, 0x82, 0xdf, + 0x8e, 0x00, 0x89, 0xf3, 0x0d, 0xd5, 0xc0, 0x54, 0x94, 0xc6, 0xa3, 0x92, + 0x0f, 0x91, 0x10, 0xee, 0xa3, 0x65, 0x44, 0xb7, 0x6d, 0xe8, 0x23, 0xf9, + 0x7f, 0x91, 0x62, 0x65, 0x09, 0x8e, 0xa1, 0x33, 0xd4, 0xd6, 0x55, 0x0a, + 0xc0, 0xe8, 0x66, 0x70, 0x05, 0xd0, 0x12, 0x34, 0xc1, 0xfd, 0xce, 0x75, + 0xa4, 0x75, 0xe1, 0x46, 0xa1, 0x08, 0xb4, 0x52, 0xfe, 0x25, 0xa4, 0xc5, + 0x4f, 0x23, 0x04, 0x7e, 0xa1, 0x2c, 0xf3, 0x56, 0xcb, 0xfa, 0x7a, 0xbc, + 0x45, 0xcc, 0x78, 0xb3, 0x28, 0xf3, 0xe5, 0xd5, 0x26, 0x56, 0x27, 0x86, + 0x6a, 0x56, 0x6b, 0x87, 0x56, 0x0e, 0xc4, 0x3c, 0xed, 0xff, 0xcb, 0x96, + 0xb4, 0x13, 0x1d, 0x4d, 0x38, 0x4e, 0x69, 0x34, 0x51, 0x7a, 0x85, 0x31, + 0xb4, 0x80, 0xda, 0x41, 0xe3, 0xdc, 0x2e, 0x53, 0xd8, 0x71, 0x3e, 0xcc, + 0x37, 0x8a, 0x80, 0x33}; + +static const unsigned char prime_safe_3072[] = { + 0x87, 0x66, 0xdf, 0xf7, 0xec, 0x49, 0x6a, 0x9a, 0x7c, 0x96, 0x28, 0xae, + 0x67, 0x38, 0xab, 0xfa, 0xfe, 0x5c, 0x46, 0x7b, 0xef, 0xe9, 0x18, 0xa6, + 0x76, 0xb2, 0xe5, 0x0e, 0xbe, 0xb8, 0xf2, 0x80, 0x36, 0x09, 0x82, 0x44, + 0x7b, 0xe8, 0xe8, 0xcc, 0x89, 0x27, 0x68, 0x05, 0xe0, 0xe1, 0x37, 0xd7, + 0xbf, 0xdb, 0x0c, 0xf6, 0x48, 0x52, 0x17, 0x3f, 0x75, 0xc5, 0x4e, 0xb4, + 0x3d, 0xf8, 0x4c, 0xea, 0xb4, 0x0b, 0x06, 0x04, 0x15, 0x89, 0x7c, 0xba, + 0xf3, 0xf5, 0xde, 0x66, 0x6e, 0x7d, 0x30, 0xc4, 0x20, 0x05, 0xda, 0x32, + 0x0f, 0xff, 0x79, 0x71, 0x44, 0x9b, 0x10, 0x0f, 0xf1, 0xbb, 0x31, 0xde, + 0x67, 0x90, 0xea, 0x77, 0xad, 0x65, 0xd7, 0x05, 0x75, 0xab, 0x66, 0xf2, + 0xe6, 0x52, 0xac, 0xf2, 0xaa, 0xa7, 0xd2, 0x45, 0xd9, 0xc6, 0x42, 0x39, + 0x27, 0x1f, 0x46, 0x84, 0xad, 0x78, 0xb4, 0xfa, 0x84, 0xf8, 0x9b, 0x3e, + 0xcb, 0xc1, 0x99, 0xe5, 0x35, 0x42, 0x26, 0x05, 0xea, 0xac, 0x51, 0x04, + 0x4f, 0x8a, 0x98, 0x25, 0xa7, 0x46, 0xab, 0x7b, 0xed, 0xb8, 0xa9, 0x0b, + 0x24, 0x23, 0x83, 0x23, 0x16, 0x87, 0x64, 0x91, 0x0c, 0xbf, 0x1f, 0xbc, + 0xec, 0x4a, 0xdd, 0x12, 0x2b, 0x0c, 0xa9, 0x39, 0x96, 0xc4, 0xc3, 0xcf, + 0xa5, 0x38, 0x40, 0x0d, 0x6e, 0xd0, 0xfa, 0x0a, 0x0c, 0x3e, 0xe9, 0x75, + 0x0b, 0x70, 0x28, 0x68, 0xbc, 0xfd, 0xf6, 0xc2, 0x9a, 0x59, 0x91, 0x20, + 0x5c, 0x70, 0xfe, 0x31, 0xa6, 0x50, 0x87, 0x9a, 0x6a, 0x61, 0x20, 0x2c, + 0x77, 0x84, 0x81, 0xa8, 0x3e, 0xc9, 0xa8, 0x72, 0xb0, 0x53, 0x43, 0x85, + 0x1c, 0x9b, 0x3a, 0xdd, 0xef, 0x09, 0x7d, 0xc7, 0x68, 0xc6, 0xef, 0x08, + 0xce, 0x47, 0xa0, 0xdc, 0x5b, 0xdb, 0x2f, 0x2d, 0x34, 0xe3, 0xde, 0x95, + 0xf6, 0x6b, 0x6d, 0x5d, 0x91, 0xbe, 0x45, 0xee, 0x2d, 0x04, 0x93, 0x78, + 0xc7, 0xa4, 0x49, 0xcc, 0x71, 0xa8, 0x5d, 0xd8, 0x8a, 0x7e, 0x9e, 0x4f, + 0x10, 0xc9, 0x41, 0xd1, 0x62, 0xc1, 0x70, 0x48, 0xb5, 0x12, 0x11, 0x23, + 0xa6, 0xe4, 0xdf, 0x64, 0xac, 0xd9, 0xe4, 0x37, 0xc2, 0xb9, 0x23, 0xa7, + 0x40, 0xea, 0x7f, 0x54, 0xe3, 0xef, 0x71, 0x81, 0xb4, 0xe7, 0x05, 0x10, + 0xd6, 0x2b, 0xd5, 0x11, 0x84, 0x5a, 0x69, 0xa5, 0xac, 0x52, 0x6d, 0xa8, + 0x79, 0x27, 0xff, 0x1c, 0x02, 0xd1, 0x62, 0x36, 0x03, 0xa2, 0xa9, 0x46, + 0x6c, 0x4f, 0xca, 0x58, 0xf2, 0xb2, 0xed, 0x91, 0xb4, 0x9e, 0x5b, 0xdd, + 0xf9, 0x99, 0xb6, 0x8d, 0x70, 0x34, 0x0a, 0xc5, 0x4d, 0xd7, 0xce, 0x8b, + 0xf1, 0x50, 0x25, 0x89, 0xff, 0xe7, 0xf2, 0x1e, 0xb9, 0x21, 0xb3, 0x8b, + 0xc8, 0x42, 0x7c, 0x26, 0xef, 0x4c, 0x30, 0x8d, 0x60, 0xb7, 0x25, 0xfb}; + +static const unsigned char prime_safe_4096[] = { + 0x8b, 0xdf, 0xc1, 0xa3, 0xe4, 0xbd, 0x1c, 0xb1, 0xf4, 0xb1, 0x51, 0xd3, + 0x8a, 0xce, 0x3d, 0x33, 0x58, 0x80, 0xa3, 0x1c, 0x7c, 0x0d, 0xbd, 0x8e, + 0xbd, 0xb3, 0xe7, 0x9e, 0xd4, 0xde, 0x06, 0xfc, 0x98, 0xaf, 0x01, 0x43, + 0x93, 0x2c, 0xfc, 0xfb, 0x92, 0x80, 0xe0, 0x6e, 0xf9, 0xf6, 0xab, 0x73, + 0x96, 0x8d, 0x7e, 0xc0, 0xeb, 0x26, 0x6c, 0x0c, 0x53, 0x06, 0x9f, 0x32, + 0x4b, 0xad, 0x53, 0xd5, 0xbf, 0x91, 0x35, 0x16, 0xfd, 0x7f, 0xba, 0x30, + 0xb6, 0xb4, 0x88, 0x10, 0x1f, 0x5a, 0xc0, 0x62, 0xf9, 0x7f, 0x71, 0x9b, + 0xb5, 0x10, 0x4b, 0x99, 0xd0, 0xf0, 0xe9, 0xc2, 0xee, 0x35, 0x24, 0xeb, + 0xcc, 0xee, 0x06, 0xbf, 0xa0, 0x05, 0xe4, 0x61, 0xa4, 0xa6, 0x98, 0x23, + 0xd0, 0xe4, 0x8a, 0x61, 0xca, 0x05, 0x8a, 0x6c, 0x98, 0xfa, 0x83, 0xc3, + 0x50, 0x7d, 0x55, 0x3b, 0x2e, 0xd5, 0xac, 0x14, 0x61, 0x86, 0xd1, 0xb5, + 0xcf, 0xc0, 0xdc, 0x69, 0x4b, 0x6c, 0x4a, 0xc5, 0xd7, 0xfe, 0xe0, 0xe8, + 0x1a, 0x64, 0x11, 0xdb, 0x56, 0xf0, 0x1c, 0x95, 0x5c, 0xd1, 0x6a, 0xb9, + 0xf6, 0xe2, 0x00, 0xf4, 0x22, 0x03, 0x03, 0x2a, 0xbc, 0x9c, 0x82, 0xeb, + 0x89, 0x1a, 0xdd, 0x94, 0x65, 0x02, 0x44, 0x61, 0x76, 0xc1, 0xae, 0xd8, + 0xca, 0xfd, 0x66, 0xf4, 0x96, 0xe7, 0x79, 0xfe, 0x3a, 0x98, 0xf1, 0x80, + 0x02, 0xfa, 0x42, 0xb7, 0xae, 0xeb, 0x39, 0x28, 0xc3, 0xb9, 0xce, 0x8c, + 0x71, 0xea, 0x14, 0x74, 0x86, 0x6c, 0x26, 0xd5, 0x15, 0x21, 0x97, 0x0c, + 0x82, 0x8d, 0x81, 0x84, 0xc5, 0x47, 0x10, 0x06, 0x67, 0xa8, 0x5f, 0xb1, + 0xc5, 0x32, 0xdc, 0x7f, 0xe6, 0x61, 0xe5, 0xeb, 0x9e, 0xa9, 0x61, 0x99, + 0x43, 0xa9, 0x8b, 0xed, 0xaf, 0xe4, 0x21, 0xef, 0x8e, 0x78, 0x5a, 0x61, + 0x55, 0x9d, 0x43, 0xdb, 0x77, 0xaa, 0xbb, 0x19, 0xea, 0x4f, 0x49, 0x53, + 0x80, 0xce, 0x7c, 0x9a, 0xea, 0xa6, 0x93, 0x58, 0xd4, 0xab, 0xf4, 0xe9, + 0x60, 0x7d, 0xca, 0xb2, 0x97, 0xa5, 0xe0, 0x92, 0xce, 0xec, 0x57, 0xbc, + 0xc5, 0x05, 0x76, 0x11, 0x79, 0x03, 0xe1, 0xb2, 0x99, 0xc1, 0x21, 0xd4, + 0x85, 0xe7, 0x6f, 0xc9, 0x58, 0xe8, 0x1c, 0x0d, 0xc8, 0x90, 0x44, 0x4c, + 0x58, 0x55, 0x9a, 0xee, 0xde, 0x62, 0x0e, 0xb2, 0xe3, 0xbc, 0xeb, 0x51, + 0x40, 0x05, 0x71, 0xfe, 0xb4, 0xe9, 0xe6, 0xf6, 0x0e, 0xd7, 0xbb, 0x1b, + 0xb8, 0x99, 0xe8, 0xc9, 0xda, 0x9f, 0xde, 0x3c, 0x13, 0xd9, 0x16, 0x45, + 0x3d, 0xac, 0xe2, 0x09, 0xc3, 0x87, 0xbb, 0x39, 0x8c, 0x6f, 0x11, 0x60, + 0x87, 0x1f, 0xaf, 0xa7, 0xdc, 0x12, 0x8f, 0x7d, 0x4c, 0x5e, 0x56, 0xc3, + 0x62, 0xdd, 0xdd, 0x03, 0x55, 0x9e, 0x24, 0x6c, 0xc5, 0x6c, 0xb8, 0x0e, + 0xaf, 0x11, 0xd5, 0x1e, 0x6a, 0x36, 0x9c, 0xca, 0x46, 0x34, 0x13, 0x2b, + 0xd1, 0xa3, 0x34, 0x2c, 0x83, 0x1b, 0x25, 0xcc, 0x17, 0x01, 0x9c, 0x68, + 0x53, 0xb7, 0x87, 0xed, 0x0e, 0x48, 0xd7, 0x69, 0xf9, 0xc8, 0x1d, 0x8b, + 0x71, 0xf4, 0x6f, 0xd1, 0xb1, 0xd5, 0x70, 0xa0, 0xd7, 0x71, 0x3d, 0x9f, + 0xfc, 0xfa, 0x35, 0x69, 0x25, 0xf3, 0x39, 0x79, 0xad, 0x7b, 0x01, 0xc5, + 0x66, 0xa5, 0xf0, 0xc7, 0x1c, 0xb6, 0x51, 0xe5, 0x02, 0x2b, 0xcf, 0xc1, + 0x2a, 0x91, 0x9d, 0xa5, 0xbf, 0x37, 0x37, 0xdd, 0x2e, 0x30, 0x40, 0xdb, + 0xbf, 0xec, 0xfe, 0x6c, 0x2c, 0xe9, 0x20, 0xee, 0x89, 0xac, 0x55, 0xaf, + 0x03, 0x5a, 0xba, 0x5a, 0x52, 0xfb, 0xbf, 0xb5, 0xae, 0x38, 0x20, 0xa5, + 0x68, 0x92, 0x5f, 0xec, 0x17, 0xa9, 0x80, 0x53, 0xf2, 0x3b, 0x0c, 0x09, + 0xf3, 0xeb, 0x15, 0x62, 0x8e, 0x39, 0x7b, 0x6b}; + +static const unsigned char prime_safe_6144[] = { + 0xb9, 0x0f, 0xc1, 0x41, 0x4a, 0xde, 0x1a, 0x1c, 0x80, 0xa0, 0xd6, 0x39, + 0x81, 0x10, 0xf3, 0x09, 0xca, 0xc0, 0x60, 0x8c, 0x5e, 0x8c, 0x17, 0x21, + 0xa0, 0x18, 0x50, 0xd6, 0x60, 0x13, 0xfc, 0x38, 0x00, 0x26, 0xd9, 0x71, + 0xd2, 0x73, 0xfc, 0x5d, 0x0c, 0xf1, 0x20, 0xce, 0x76, 0x44, 0xbb, 0x8b, + 0x5c, 0xc8, 0x5a, 0x59, 0x0c, 0xcd, 0x48, 0xba, 0xbf, 0x86, 0x72, 0xda, + 0xf5, 0xbd, 0x7c, 0x1d, 0x41, 0xba, 0xe8, 0x9f, 0x8c, 0xc2, 0x18, 0x27, + 0xfa, 0xbc, 0xc6, 0xcf, 0xd8, 0x47, 0xf5, 0xe9, 0x71, 0xcc, 0x37, 0x34, + 0xc3, 0x9b, 0x5a, 0xff, 0xc3, 0x0c, 0xab, 0x1d, 0x97, 0x8c, 0x26, 0x95, + 0x8c, 0xf1, 0x0a, 0x5d, 0x22, 0x84, 0x5a, 0x7c, 0xf2, 0xd1, 0x8b, 0x7c, + 0x6f, 0x17, 0x09, 0x13, 0x00, 0xc9, 0xdf, 0x79, 0xe1, 0x6e, 0xc8, 0xf8, + 0xd3, 0xc1, 0xdd, 0xb2, 0xf4, 0x24, 0x2a, 0xfa, 0x5c, 0x66, 0x25, 0x2b, + 0x39, 0xd1, 0x39, 0x48, 0xfa, 0x76, 0x4f, 0x57, 0xa3, 0x20, 0xc3, 0x38, + 0x2e, 0x85, 0x67, 0x31, 0x92, 0x85, 0x3c, 0x70, 0x23, 0x14, 0xec, 0x6c, + 0x85, 0x28, 0xe0, 0x4f, 0xcc, 0xc6, 0x3b, 0xcf, 0x19, 0x30, 0x3b, 0x01, + 0xfe, 0x9e, 0x16, 0x65, 0x1c, 0xf4, 0x31, 0x0c, 0x9d, 0x23, 0x40, 0x85, + 0x6c, 0xdd, 0xe5, 0xf7, 0x90, 0x25, 0x69, 0x7a, 0x3c, 0xd6, 0xe4, 0x42, + 0x6c, 0x87, 0x04, 0x06, 0xa7, 0x82, 0x1d, 0xfc, 0x5e, 0xd9, 0x03, 0x60, + 0x20, 0x9a, 0x5c, 0x6a, 0xfe, 0x53, 0x0d, 0x05, 0x92, 0x1b, 0xa1, 0xdb, + 0xfa, 0x01, 0x2f, 0x84, 0x89, 0xe0, 0x56, 0x66, 0x7e, 0xe3, 0xe6, 0x99, + 0x4d, 0xb3, 0xd2, 0xf0, 0xce, 0xf3, 0xdf, 0x05, 0x0d, 0x57, 0x42, 0xcd, + 0xfc, 0x06, 0x3c, 0xe7, 0x11, 0x34, 0x7f, 0x51, 0x8e, 0xb7, 0x24, 0x01, + 0xe3, 0x26, 0x47, 0xe7, 0xd1, 0x57, 0x0e, 0x0e, 0xf1, 0x12, 0xc5, 0x79, + 0x2d, 0x87, 0x0f, 0xb1, 0x19, 0x6a, 0xd7, 0x44, 0x33, 0x46, 0x4c, 0xbc, + 0xc5, 0xc6, 0x24, 0xf8, 0x7c, 0x7a, 0x61, 0xfe, 0x72, 0x95, 0x21, 0xcd, + 0xd1, 0x3a, 0xd3, 0x5d, 0x77, 0x76, 0xbd, 0x86, 0xd8, 0xbd, 0x8e, 0x5e, + 0xf2, 0xe5, 0x20, 0x01, 0xd9, 0xb4, 0x47, 0xf7, 0x1c, 0x51, 0x70, 0x39, + 0x6a, 0xc7, 0xea, 0xed, 0x90, 0xd7, 0xc4, 0xd3, 0xcd, 0x8e, 0x4b, 0xd8, + 0x11, 0xf0, 0xd3, 0x66, 0x36, 0x77, 0xe2, 0x16, 0x13, 0xbd, 0xd2, 0x54, + 0x4a, 0x1c, 0x61, 0x54, 0x88, 0x1a, 0x69, 0x85, 0x9f, 0x5d, 0xc5, 0xb7, + 0x62, 0x7e, 0x72, 0x0a, 0x89, 0x90, 0x24, 0x8f, 0x39, 0xb2, 0xf2, 0xb6, + 0x12, 0x8e, 0x50, 0xb4, 0xd3, 0xea, 0xc3, 0xac, 0xea, 0x8d, 0x27, 0x17, + 0xbd, 0x07, 0xd2, 0x15, 0x80, 0x49, 0xe0, 0x97, 0x41, 0x16, 0xd6, 0x3b, + 0x24, 0xe8, 0x8b, 0xfd, 0xa3, 0x18, 0xbd, 0x52, 0x5d, 0xe2, 0x21, 0xce, + 0x7c, 0x6f, 0x10, 0x38, 0x70, 0x64, 0xc4, 0x15, 0xf3, 0x28, 0xc6, 0x66, + 0xfc, 0xd1, 0x22, 0x04, 0x80, 0x80, 0xc6, 0xc5, 0x75, 0xf5, 0xdc, 0xb0, + 0x40, 0x4b, 0x12, 0xfa, 0xdb, 0xd5, 0x36, 0xcd, 0x31, 0xab, 0xd7, 0x1d, + 0x18, 0x07, 0x9d, 0x09, 0x9b, 0x16, 0xa0, 0xfe, 0x1e, 0x6f, 0x3f, 0x34, + 0x5a, 0xe6, 0x70, 0x85, 0x98, 0x30, 0xd4, 0x94, 0xc5, 0xf0, 0x36, 0x35, + 0xa1, 0xed, 0x46, 0x63, 0x3c, 0x0f, 0xcf, 0xc5, 0x9e, 0x7c, 0x68, 0x25, + 0x64, 0x93, 0x30, 0x36, 0x38, 0xb1, 0x99, 0x6c, 0x37, 0xf5, 0xcf, 0x64, + 0x4b, 0xef, 0xa6, 0xff, 0x6a, 0xaa, 0xaa, 0xb6, 0x29, 0xed, 0x38, 0x80, + 0x1f, 0x58, 0x35, 0x88, 0x3f, 0x01, 0x1c, 0xc8, 0x23, 0x48, 0x37, 0xa7, + 0xd2, 0xb1, 0xb1, 0xee, 0x44, 0x59, 0x0a, 0xfb, 0x05, 0xd9, 0xe1, 0x5b, + 0x53, 0x34, 0x9d, 0x99, 0x30, 0x28, 0xa9, 0x3b, 0x8e, 0x1b, 0xac, 0x8a, + 0x90, 0x91, 0xc9, 0x71, 0x8a, 0xea, 0xb9, 0x11, 0xd5, 0x67, 0x87, 0x4f, + 0xdb, 0x27, 0x4f, 0x7f, 0xb8, 0x54, 0x7f, 0x5e, 0x18, 0x08, 0xf7, 0xf3, + 0x1c, 0x02, 0x3a, 0x04, 0xde, 0xcc, 0x10, 0x06, 0x7e, 0x15, 0xc3, 0x24, + 0x0c, 0xdf, 0x0d, 0xf8, 0x86, 0xc0, 0x4c, 0xab, 0x0f, 0x75, 0x04, 0xbe, + 0xf3, 0x90, 0x28, 0xd1, 0x22, 0x17, 0x96, 0xcc, 0x29, 0x11, 0x09, 0xa7, + 0x53, 0x42, 0xea, 0x91, 0x51, 0xaf, 0x55, 0xa1, 0x03, 0x67, 0x78, 0x63, + 0xb3, 0xb0, 0x0f, 0x59, 0x5d, 0x37, 0xe7, 0x30, 0x8b, 0xca, 0xa0, 0x45, + 0x12, 0x7a, 0xa5, 0x09, 0xfb, 0xa6, 0x99, 0xdd, 0xf7, 0xe9, 0x30, 0x5a, + 0xc2, 0x9d, 0x0d, 0xdf, 0x39, 0x99, 0x25, 0x0d, 0xb2, 0x57, 0xb6, 0x78, + 0x02, 0x30, 0xf8, 0x86, 0xde, 0x79, 0xb4, 0xbe, 0x3e, 0x53, 0xff, 0x74, + 0x0f, 0x4d, 0x30, 0x2d, 0xe6, 0x57, 0x4a, 0x57, 0x53, 0x3a, 0x0b, 0x19, + 0x86, 0xab, 0x90, 0xe5, 0x33, 0x84, 0x53, 0x7a, 0x17, 0xc5, 0xf1, 0x8c, + 0xc3, 0xe4, 0x11, 0x53, 0x2b, 0xb5, 0xb4, 0x8e, 0xe6, 0xd2, 0x04, 0x43, + 0x5b, 0x6a, 0x30, 0xc7, 0xca, 0xaf, 0x91, 0xc0, 0x76, 0x43, 0x86, 0x65, + 0xee, 0xcd, 0x82, 0xbe, 0xa2, 0xd8, 0x2d, 0xad, 0xeb, 0xb5, 0x1a, 0xb5, + 0xbf, 0xa1, 0xe7, 0x93, 0x50, 0x15, 0x08, 0x27, 0x27, 0x3c, 0xcc, 0x53, + 0x82, 0x67, 0xd4, 0xf2, 0x0d, 0x26, 0x60, 0x87, 0x05, 0x2e, 0xaa, 0x62, + 0x55, 0xcc, 0x9a, 0xee, 0x2c, 0x20, 0x23, 0x14, 0xfa, 0x5c, 0x29, 0x41, + 0xe1, 0x89, 0x83, 0x19, 0xc1, 0x36, 0x8c, 0xa4, 0x91, 0xf6, 0x40, 0x37, + 0x70, 0x2a, 0x0d, 0x82, 0xbb, 0x56, 0x6e, 0x23, 0x34, 0xb9, 0x6e, 0x33}; + +static const unsigned char prime_safe_8192[] = { + 0x9b, 0xa7, 0x9b, 0xa2, 0x86, 0x54, 0xe7, 0x99, 0x11, 0x5b, 0x35, 0x81, + 0xd5, 0x7a, 0x8a, 0x6e, 0x4d, 0x4d, 0x61, 0x5d, 0xd3, 0xcf, 0x0c, 0x65, + 0x7e, 0xda, 0xd8, 0xce, 0x28, 0xac, 0xa0, 0x38, 0x81, 0xee, 0xa1, 0x14, + 0x25, 0x21, 0x67, 0x66, 0x3a, 0x6c, 0x0f, 0x80, 0x3d, 0x89, 0x79, 0xfe, + 0x71, 0x43, 0x57, 0xc3, 0xa9, 0x54, 0x1e, 0x20, 0x8a, 0xee, 0x0f, 0xa6, + 0x8b, 0x88, 0x81, 0x3d, 0xe8, 0x5c, 0x40, 0x47, 0x05, 0xdf, 0xd8, 0x6d, + 0x98, 0x65, 0x16, 0xa9, 0xf9, 0xc4, 0x8c, 0x02, 0xba, 0xae, 0x6b, 0x36, + 0x76, 0xc9, 0xfa, 0x8e, 0xd0, 0xd7, 0x9a, 0x3c, 0xcb, 0xd1, 0x44, 0x09, + 0xd7, 0x4f, 0x28, 0x51, 0x94, 0x92, 0x5b, 0x02, 0xb2, 0xbd, 0x78, 0xd3, + 0xc2, 0x76, 0x03, 0x15, 0x17, 0x0b, 0x55, 0x08, 0x02, 0x42, 0x9e, 0x26, + 0x56, 0x33, 0x72, 0xe6, 0xbd, 0x0e, 0xf9, 0x3d, 0x2c, 0xb3, 0x8a, 0x4c, + 0x67, 0x17, 0xfd, 0xe9, 0x03, 0xad, 0x8c, 0x34, 0x84, 0xe5, 0x83, 0xdf, + 0x9c, 0x04, 0x93, 0x03, 0x26, 0x19, 0xc1, 0xf1, 0x24, 0x68, 0xf6, 0x54, + 0x96, 0xce, 0x38, 0x51, 0xbd, 0x6c, 0x3d, 0x9c, 0x0c, 0xd8, 0x6e, 0x13, + 0x4c, 0x8b, 0xf6, 0x34, 0xae, 0xd8, 0x85, 0x1d, 0x1d, 0x8e, 0xc2, 0xad, + 0xab, 0xa2, 0xc5, 0x40, 0x76, 0x7f, 0x2f, 0x2e, 0x38, 0xf4, 0x6a, 0x39, + 0x33, 0x3d, 0x17, 0xce, 0x1f, 0xe9, 0xc3, 0x8d, 0x9e, 0xe5, 0xbe, 0xd6, + 0xad, 0x9a, 0x23, 0xd8, 0x06, 0xf3, 0x7c, 0x39, 0xd5, 0xae, 0x57, 0xb6, + 0xe5, 0xc3, 0x9a, 0x8a, 0x8c, 0x6e, 0xd3, 0xc1, 0x1a, 0x64, 0x12, 0x00, + 0x18, 0x53, 0xca, 0x32, 0x88, 0x8e, 0xc0, 0x5f, 0x2d, 0xb2, 0x3d, 0x14, + 0x1b, 0x58, 0x5c, 0x20, 0xe8, 0x52, 0xe5, 0x28, 0x41, 0xbc, 0x9e, 0x08, + 0x29, 0xab, 0xa5, 0x43, 0x99, 0x0e, 0xd7, 0x2a, 0xb9, 0xb8, 0x64, 0x9d, + 0x83, 0xe3, 0x1a, 0x26, 0x59, 0x65, 0xf2, 0x0c, 0xc9, 0xc5, 0x8f, 0x0d, + 0xcf, 0xa1, 0x18, 0xfc, 0x8b, 0x77, 0xe9, 0xe1, 0x19, 0x7b, 0x03, 0xd4, + 0x37, 0x8d, 0x5d, 0x37, 0x2b, 0xad, 0x58, 0x5e, 0x73, 0x72, 0xce, 0x84, + 0xe5, 0xc9, 0x75, 0x1d, 0xf3, 0x58, 0x42, 0x77, 0xfe, 0x53, 0xa0, 0xc2, + 0x66, 0x21, 0xaf, 0xe2, 0x61, 0xd2, 0x84, 0xb3, 0x03, 0x4d, 0xd8, 0x7d, + 0x85, 0xe1, 0xa8, 0xa0, 0x48, 0x5d, 0x1a, 0xa9, 0xac, 0xc1, 0x69, 0x24, + 0xc6, 0xfa, 0xb5, 0x22, 0x3e, 0xa3, 0x8d, 0x35, 0x29, 0xcf, 0x9a, 0xe5, + 0x84, 0x3b, 0x0b, 0x27, 0x36, 0x7e, 0x9d, 0xa6, 0xb0, 0x45, 0x60, 0x42, + 0x1e, 0x4b, 0x24, 0xd1, 0x36, 0x8b, 0x70, 0xd1, 0x95, 0x54, 0x14, 0xb9, + 0x47, 0x3d, 0x8d, 0xe4, 0x5f, 0x81, 0x1a, 0x21, 0x17, 0x17, 0xbf, 0x92, + 0x22, 0x4c, 0x77, 0x30, 0xdc, 0x9c, 0x84, 0xe6, 0x68, 0xcc, 0xd6, 0x11, + 0x04, 0xff, 0x71, 0x86, 0xb3, 0xa9, 0x9b, 0x13, 0x95, 0x35, 0xfd, 0x68, + 0x28, 0x9b, 0x6f, 0x5c, 0xf7, 0x66, 0xa8, 0x6f, 0x89, 0x0f, 0x92, 0xdf, + 0x52, 0x24, 0x3f, 0xdb, 0x2f, 0x40, 0x12, 0x32, 0xa4, 0xff, 0x2e, 0x4b, + 0xb8, 0xa0, 0xe7, 0xc9, 0xcb, 0x98, 0x13, 0xf9, 0xd2, 0xfa, 0x82, 0x68, + 0xb2, 0x8f, 0xd3, 0x17, 0x8c, 0x93, 0xf5, 0x80, 0xe4, 0x5a, 0x33, 0x1b, + 0x6a, 0xd8, 0xbf, 0x37, 0xa7, 0xe1, 0x63, 0x1d, 0x6a, 0xc3, 0xfa, 0xa1, + 0x2f, 0xc1, 0x72, 0x55, 0xd5, 0xe2, 0x67, 0x3b, 0x6b, 0x3a, 0xa8, 0xb0, + 0x54, 0x04, 0x1d, 0xbb, 0xc1, 0xe5, 0x3a, 0x52, 0xb1, 0x67, 0x0b, 0x12, + 0x3e, 0xcd, 0xa9, 0x9a, 0x0e, 0xbb, 0xa3, 0x75, 0x6d, 0x6f, 0x77, 0x74, + 0x64, 0xe3, 0x16, 0x8c, 0xa5, 0xba, 0xec, 0x51, 0x73, 0xce, 0x4b, 0xe6, + 0x6f, 0x3d, 0x15, 0x56, 0x43, 0xe1, 0x17, 0x77, 0x66, 0xab, 0xdc, 0x9d, + 0x9b, 0x10, 0x5d, 0xc4, 0xe9, 0x1e, 0xaa, 0x2d, 0x15, 0xbb, 0xc4, 0x09, + 0x46, 0x30, 0xe1, 0xb8, 0x92, 0x94, 0x5f, 0xb7, 0xe7, 0x7e, 0x97, 0x43, + 0xc0, 0x48, 0x5b, 0xaf, 0xea, 0x74, 0xae, 0x8c, 0x79, 0x6b, 0x66, 0x83, + 0x62, 0x88, 0x17, 0xa4, 0x56, 0x5d, 0x58, 0xfb, 0x6c, 0x38, 0x57, 0x4d, + 0xef, 0xd7, 0x36, 0x44, 0x39, 0x5b, 0xab, 0x94, 0xe4, 0x08, 0x30, 0xd3, + 0x2c, 0x59, 0xa0, 0x32, 0xe2, 0x71, 0x99, 0xec, 0x66, 0x5e, 0xf7, 0xe2, + 0x9c, 0x19, 0x69, 0x72, 0x6f, 0xdb, 0x3e, 0xcc, 0x19, 0x5a, 0xfd, 0xad, + 0xd6, 0x6e, 0x9d, 0x07, 0xc0, 0x65, 0x01, 0x75, 0xdd, 0x37, 0x1b, 0x9c, + 0x5e, 0x93, 0x32, 0xf8, 0x7e, 0x65, 0xd5, 0xb5, 0x15, 0x35, 0xad, 0x05, + 0xb5, 0xd2, 0x25, 0xc7, 0x71, 0x5a, 0xe4, 0xb7, 0x58, 0x6a, 0xc3, 0x5a, + 0xd9, 0xd4, 0xee, 0x32, 0xb5, 0x0b, 0x5b, 0x2a, 0xcd, 0x80, 0xce, 0xd4, + 0x2d, 0xc9, 0x09, 0x94, 0xf5, 0xf2, 0x7c, 0xaf, 0xba, 0x5a, 0xd3, 0xdc, + 0xcd, 0xd7, 0xf7, 0xea, 0x42, 0xe2, 0xc2, 0x34, 0x21, 0xb9, 0x15, 0x24, + 0xe8, 0x32, 0x6b, 0x6f, 0xb0, 0xed, 0x76, 0x5e, 0x45, 0xbf, 0x02, 0xa2, + 0xb8, 0x3c, 0xa5, 0xf5, 0x74, 0xe3, 0x18, 0x89, 0x21, 0x4e, 0xa6, 0x08, + 0xa3, 0xa5, 0x93, 0x69, 0x48, 0x96, 0xbd, 0x47, 0xd3, 0xeb, 0x67, 0x29, + 0xa8, 0xbb, 0xbe, 0x78, 0x05, 0xfa, 0x46, 0x89, 0x4e, 0x0c, 0xe2, 0x6c, + 0xbb, 0xe5, 0xf8, 0xba, 0xe5, 0x5d, 0x29, 0xe7, 0xdd, 0x71, 0x7e, 0x94, + 0xd7, 0x56, 0x0c, 0x3c, 0xde, 0x5f, 0xbc, 0xdc, 0x0f, 0x8e, 0xd6, 0x6f, + 0x0a, 0x07, 0xb8, 0x07, 0x24, 0x62, 0x4c, 0xed, 0x45, 0x4f, 0x0d, 0x9f, + 0x2e, 0x83, 0x6a, 0xeb, 0xbc, 0xff, 0xa9, 0xf2, 0x73, 0xb3, 0x5b, 0xaa, + 0xac, 0xed, 0xac, 0x88, 0xa2, 0x0d, 0x8d, 0x8f, 0xb4, 0xf7, 0x73, 0x1e, + 0xc0, 0x2e, 0xd3, 0x45, 0x15, 0x4b, 0x4a, 0xe7, 0xd4, 0xef, 0xb1, 0xc6, + 0xd3, 0x8f, 0xf8, 0x24, 0x12, 0x33, 0x3e, 0x8e, 0x95, 0xbc, 0x81, 0xb4, + 0xd4, 0xd1, 0x13, 0xbc, 0x7e, 0x25, 0xb4, 0x5b, 0xff, 0x15, 0xba, 0xf8, + 0x9a, 0xec, 0x78, 0xe4, 0x63, 0xc7, 0x26, 0xd5, 0x89, 0x3d, 0x63, 0x5b, + 0x7c, 0x86, 0x63, 0x34, 0x06, 0x28, 0x23, 0x08, 0xff, 0x6d, 0xbd, 0xe0, + 0x75, 0xb3, 0x71, 0x12, 0x26, 0x63, 0xca, 0x93, 0x36, 0x86, 0xeb, 0xf7, + 0x48, 0xd1, 0x96, 0xf4, 0x02, 0x3e, 0x5d, 0x69, 0x75, 0x5e, 0x95, 0xee, + 0x32, 0xb9, 0xba, 0x55, 0xc5, 0x42, 0x74, 0x00, 0xe1, 0x0f, 0x16, 0x05, + 0x62, 0x3c, 0x58, 0xcb, 0xe0, 0xd4, 0xa9, 0xe5, 0x1a, 0x3b, 0x84, 0x7e, + 0x19, 0x87, 0xad, 0x67, 0xcd, 0x9b, 0x97, 0xb0, 0x32, 0xd7, 0xb8, 0x1e, + 0x96, 0x69, 0x75, 0x0f, 0x61, 0x69, 0xb3, 0xc9, 0xce, 0x73, 0x7c, 0x5f, + 0xd5, 0x08, 0xdf, 0xd4, 0x07, 0x75, 0x60, 0xd7, 0x50, 0x52, 0xe7, 0x5c, + 0x6f, 0x04, 0x59, 0x65, 0xbd, 0x70, 0x99, 0x15, 0xf9, 0xbc, 0x34, 0x78, + 0x6a, 0x64, 0xac, 0x5f, 0x07, 0xc2, 0x89, 0x88, 0xfe, 0x11, 0x7a, 0xf7, + 0x3d, 0xbe, 0x83, 0xff, 0xeb, 0x1d, 0x52, 0xbe, 0xd4, 0x09, 0x71, 0x0f, + 0x7c, 0x95, 0x19, 0xf2, 0x4b, 0xf5, 0x44, 0x63, 0xf2, 0xec, 0x3f, 0xf9, + 0xe4, 0xfb, 0xbe, 0x24, 0xb2, 0x18, 0x53, 0xce, 0x16, 0x40, 0x1e, 0x27, + 0x62, 0x99, 0x93, 0xc9, 0x49, 0x8f, 0x98, 0x0d, 0xd8, 0x73, 0x65, 0x99, + 0xac, 0xff, 0xfe, 0x22, 0x6a, 0xd1, 0xfb, 0xa1, 0xe4, 0xe7, 0xab, 0x3c, + 0x72, 0x10, 0xac, 0x73}; + +/* Weak primes with value subprimes. Accepted, but takes more processing + * in both modes. */ +static const unsigned char prime_weak_1024[] = { + 0xe4, 0x82, 0x09, 0x4a, 0x6b, 0xbe, 0x9b, 0x51, 0x11, 0xa0, 0x74, 0x25, + 0xff, 0x50, 0x1c, 0x0a, 0xd6, 0xd0, 0xbc, 0xd3, 0x24, 0x89, 0x75, 0x74, + 0xb3, 0xd6, 0x6b, 0xf4, 0xc7, 0x5f, 0x6a, 0xec, 0x1e, 0x3a, 0x20, 0x02, + 0x16, 0x75, 0xcc, 0x44, 0x4a, 0xbf, 0x5b, 0x58, 0xad, 0xfe, 0xb0, 0x18, + 0x6a, 0x38, 0x8b, 0xcb, 0xdb, 0xd1, 0x77, 0x42, 0xe3, 0xa3, 0x87, 0x8a, + 0x99, 0x2e, 0x11, 0xd8, 0xc9, 0x02, 0x84, 0x1d, 0xd2, 0x67, 0x28, 0xbd, + 0x8f, 0xfb, 0x56, 0xf2, 0x63, 0x8a, 0x2c, 0x7c, 0x38, 0xef, 0xa2, 0x0c, + 0x6a, 0x36, 0xd0, 0x99, 0x13, 0x47, 0x48, 0x40, 0xe5, 0xcd, 0xdb, 0x04, + 0x4c, 0xa2, 0x12, 0x3f, 0x1a, 0x9b, 0x9a, 0x0e, 0xb8, 0x68, 0x7d, 0x01, + 0xbc, 0x16, 0x6f, 0x51, 0x64, 0x1d, 0xab, 0x21, 0x75, 0x49, 0x12, 0x36, + 0xac, 0x65, 0x8b, 0xf8, 0x87, 0xd9, 0xaf, 0xd1}; + +static const unsigned char subprime_weak_1024[] = { + 0xef, 0x0c, 0x17, 0x60, 0xd1, 0x91, 0x8f, 0xea, 0x4d, 0xbe, + 0x0a, 0xb2, 0x37, 0xcc, 0x6b, 0xba, 0x97, 0x98, 0x2d, 0x4b}; + +static const unsigned char base_weak_1024[] = { + 0x5a, 0x70, 0x8b, 0xe1, 0x1d, 0xed, 0x69, 0x04, 0xd0, 0xdc, 0xda, 0x84, + 0x9e, 0x79, 0x56, 0x11, 0x44, 0xdc, 0xf7, 0xb8, 0x84, 0x88, 0x75, 0x67, + 0xba, 0x80, 0x5b, 0x7e, 0x50, 0xc1, 0x5c, 0x80, 0x59, 0xaa, 0x55, 0x24, + 0x44, 0x6a, 0x8a, 0x31, 0x20, 0x1a, 0xd4, 0xba, 0x5f, 0x32, 0xc6, 0x5d, + 0x9d, 0x0e, 0x58, 0xfc, 0xd0, 0x6c, 0x74, 0xea, 0xd9, 0xc6, 0x86, 0x9f, + 0x3f, 0x83, 0x0e, 0x73, 0xae, 0x28, 0x40, 0x19, 0x9f, 0x5d, 0x64, 0xc4, + 0xae, 0xda, 0x11, 0x3e, 0x3f, 0x44, 0x87, 0xac, 0x41, 0x1e, 0xfa, 0xdb, + 0x1f, 0xde, 0x09, 0x7c, 0x54, 0x7c, 0x8a, 0xe0, 0x82, 0xd7, 0x8c, 0xb9, + 0x61, 0xa0, 0x10, 0xab, 0xff, 0xe1, 0x1f, 0x8b, 0x9d, 0x51, 0x71, 0xc7, + 0xfb, 0xd9, 0xe0, 0x10, 0xc3, 0x7d, 0x88, 0xe9, 0xd2, 0x42, 0xaf, 0xda, + 0x77, 0x55, 0x28, 0x07, 0x03, 0x26, 0xb3, 0x77}; + +static const unsigned char prime_weak_2048[] = { + 0xb5, 0x08, 0x83, 0x6a, 0x22, 0x39, 0xdf, 0x02, 0xfe, 0x73, 0x6b, 0xfb, + 0x0d, 0x4e, 0xad, 0x4b, 0x0f, 0xfd, 0xb2, 0x27, 0xe7, 0xd2, 0x35, 0xd4, + 0x83, 0xf2, 0xbc, 0x29, 0xff, 0x50, 0xf7, 0x6b, 0xb7, 0x94, 0x38, 0xff, + 0xdc, 0x79, 0x67, 0x9a, 0x80, 0x8b, 0xc2, 0x20, 0x4e, 0x53, 0x02, 0x2a, + 0x07, 0xec, 0xa9, 0xbd, 0x22, 0xd1, 0xba, 0x35, 0x31, 0x10, 0x21, 0xb6, + 0x4f, 0xe1, 0x94, 0x0b, 0xb0, 0xb3, 0x37, 0x20, 0x0d, 0x6a, 0xd4, 0x91, + 0x5c, 0x85, 0xe9, 0xae, 0x8a, 0xf2, 0x94, 0xe7, 0x44, 0xf5, 0xcc, 0x04, + 0x82, 0x57, 0x81, 0x21, 0x83, 0x18, 0x48, 0x2d, 0xe3, 0x1c, 0xa1, 0x7f, + 0xee, 0x10, 0xb9, 0xe8, 0x40, 0xfc, 0xda, 0x43, 0x7d, 0x18, 0xe4, 0x68, + 0x9f, 0xed, 0x5e, 0xc3, 0x1f, 0x80, 0xef, 0x5c, 0x24, 0x5e, 0x68, 0xac, + 0x99, 0x9c, 0x74, 0x96, 0x5b, 0xb3, 0xe7, 0xb2, 0x65, 0x78, 0xfb, 0x3c, + 0x11, 0x00, 0x04, 0x4b, 0x98, 0x0e, 0x8a, 0x7b, 0x38, 0x08, 0x34, 0xb9, + 0x6d, 0x08, 0x65, 0x17, 0x91, 0x49, 0x62, 0x47, 0x64, 0xab, 0xc6, 0xd0, + 0xf2, 0xcf, 0x89, 0x07, 0xeb, 0xa3, 0x5d, 0xf3, 0xa2, 0xfb, 0xdd, 0x7b, + 0x3e, 0x7e, 0xa2, 0xd7, 0x1a, 0x42, 0xad, 0x74, 0xbd, 0xbb, 0xcf, 0x21, + 0x91, 0xd2, 0x6b, 0x1d, 0x9d, 0xa8, 0x05, 0x88, 0x4f, 0xb1, 0x45, 0xa2, + 0x86, 0x90, 0x12, 0xfd, 0xcb, 0x25, 0xe1, 0x12, 0x08, 0x47, 0x1d, 0x83, + 0x2d, 0x14, 0x42, 0x20, 0x08, 0x31, 0x54, 0x2c, 0x9b, 0x49, 0xf6, 0xb6, + 0x2d, 0x25, 0xea, 0x28, 0xbf, 0x13, 0x2b, 0xd3, 0x45, 0x8d, 0x02, 0x9f, + 0xa5, 0xaa, 0xeb, 0xc0, 0x48, 0xd1, 0x06, 0xe6, 0x1e, 0xa0, 0x3e, 0x04, + 0x20, 0x79, 0x7c, 0xd1, 0xd0, 0xac, 0x61, 0x89, 0x6c, 0x3b, 0x88, 0xa3, + 0x54, 0x6c, 0x80, 0x59}; + +static const unsigned char subprime_weak_2048[] = { + 0xcd, 0x9d, 0xbf, 0x88, 0xe5, 0xc0, 0x03, 0x16, 0xec, 0x9c, 0xb4, + 0x6e, 0x54, 0xd2, 0xbf, 0xdc, 0x05, 0x92, 0xcd, 0x05, 0x87, 0xc9, + 0x9c, 0x91, 0x19, 0x54, 0xb6, 0xd7, 0x1e, 0xe1, 0x0a, 0x93}; + +static const unsigned char base_weak_2048[] = { + 0x36, 0xc6, 0x6e, 0x3e, 0xe8, 0x44, 0xa0, 0x57, 0x1d, 0x8e, 0x71, 0xb6, + 0x6c, 0x24, 0xf6, 0x1d, 0xb6, 0xa5, 0xfd, 0xe3, 0xd6, 0xc5, 0x6b, 0xe8, + 0x94, 0x5a, 0x8c, 0x5a, 0xdf, 0x41, 0x51, 0xe6, 0xfb, 0x76, 0x4b, 0x06, + 0x4b, 0x03, 0x33, 0x98, 0x15, 0xb5, 0x60, 0x43, 0xc7, 0xc5, 0xb3, 0x4d, + 0x58, 0x90, 0xe8, 0x63, 0xc5, 0xad, 0x5f, 0x57, 0xcf, 0x42, 0x26, 0x99, + 0xa0, 0x71, 0xc6, 0x73, 0x03, 0xa0, 0x45, 0xd0, 0x87, 0xf0, 0xd8, 0x9a, + 0xb2, 0x7d, 0xd7, 0x2d, 0x10, 0x52, 0x04, 0x36, 0x37, 0x4f, 0x9d, 0xb7, + 0x66, 0xdc, 0xf5, 0x76, 0xac, 0x87, 0xfe, 0x5a, 0x9d, 0xca, 0x1e, 0xfb, + 0x6f, 0x7f, 0xfd, 0x9a, 0xaa, 0x12, 0xcf, 0x7a, 0xdb, 0x15, 0xf3, 0xb2, + 0x7b, 0x17, 0xb9, 0xaf, 0x5f, 0xdf, 0x9c, 0x66, 0x29, 0x83, 0x89, 0xf9, + 0xf9, 0xf7, 0x4a, 0x04, 0x1d, 0x00, 0xf7, 0x11, 0x98, 0x18, 0x0a, 0xab, + 0x47, 0xcc, 0x3e, 0x11, 0xf4, 0xe0, 0x7e, 0xad, 0xa5, 0x67, 0xf8, 0x4b, + 0x1b, 0x81, 0x72, 0x8e, 0x5b, 0x49, 0x90, 0x0e, 0x01, 0xc1, 0x7e, 0x8d, + 0xfb, 0xa2, 0xe7, 0x92, 0xd0, 0x23, 0xf5, 0x4a, 0xe8, 0xd4, 0x51, 0xc4, + 0x89, 0xe8, 0x4a, 0x9f, 0xf6, 0xa2, 0xdc, 0xe2, 0x32, 0x88, 0x56, 0x2c, + 0x97, 0x38, 0xdf, 0xd6, 0x4f, 0xfb, 0xf8, 0xbb, 0xee, 0x7a, 0x3a, 0x05, + 0xa2, 0x7f, 0xbb, 0x6d, 0xf6, 0xd6, 0x48, 0xf4, 0x6d, 0x23, 0xb3, 0x93, + 0x7c, 0xfb, 0xd4, 0x8c, 0xa0, 0x58, 0xbc, 0xdf, 0x1b, 0x35, 0x2a, 0x56, + 0x80, 0x7c, 0xc6, 0x28, 0x35, 0xb6, 0x17, 0x5d, 0xa5, 0x15, 0x79, 0x7d, + 0x2c, 0x6a, 0xcf, 0xb1, 0xb1, 0x6e, 0xea, 0xd0, 0x4b, 0xfb, 0xa5, 0xbb, + 0xb7, 0x9f, 0x74, 0x42, 0xd5, 0xf3, 0x4b, 0x54, 0x40, 0xf0, 0x4c, 0x6b, + 0x0f, 0xaf, 0x89, 0x10}; + +static const unsigned char prime_weak_3072[] = { + 0x94, 0x32, 0xc7, 0x47, 0x51, 0xa3, 0x03, 0x9b, 0xf2, 0x51, 0x5c, 0x69, + 0xaf, 0x05, 0x3c, 0x76, 0x62, 0xa2, 0xec, 0x5a, 0xcc, 0xdf, 0x80, 0xf3, + 0x2d, 0xce, 0xa5, 0xa5, 0x9e, 0x2d, 0xab, 0x5f, 0x91, 0xbd, 0x93, 0x61, + 0xd7, 0x7b, 0x71, 0x6f, 0xf3, 0x92, 0xbf, 0xa8, 0xfc, 0xcd, 0x00, 0xf5, + 0x49, 0x08, 0x00, 0x8c, 0xd2, 0xfe, 0x4a, 0xd8, 0x2b, 0x6e, 0x42, 0xc0, + 0xd8, 0xa2, 0x8b, 0x2b, 0x18, 0x02, 0xad, 0xe8, 0x4e, 0x44, 0x09, 0x26, + 0xa1, 0xa1, 0xca, 0x99, 0xe3, 0xd9, 0x9a, 0x87, 0x3c, 0x83, 0x6a, 0x1a, + 0x7b, 0x60, 0xba, 0x78, 0x0c, 0x79, 0x50, 0x1f, 0xde, 0x40, 0x14, 0x58, + 0x18, 0xa9, 0x2b, 0x74, 0x11, 0xb4, 0x65, 0xfe, 0x9d, 0x03, 0xa4, 0xef, + 0xdf, 0x74, 0x8e, 0xcd, 0x7b, 0xd4, 0xf3, 0x28, 0x75, 0xb2, 0x31, 0xef, + 0x99, 0x65, 0xcb, 0x5a, 0x77, 0xca, 0xa2, 0x25, 0x28, 0xae, 0xfa, 0x9f, + 0xeb, 0xda, 0xcc, 0x34, 0x7b, 0x21, 0xd7, 0xdb, 0x54, 0x40, 0xe6, 0x2f, + 0xdb, 0xc0, 0xce, 0xdc, 0xe5, 0xc9, 0x27, 0x97, 0x99, 0x9c, 0x02, 0x4f, + 0x24, 0x88, 0x93, 0xdf, 0xa9, 0xc7, 0x3e, 0x10, 0xc8, 0xaa, 0x6a, 0xce, + 0xda, 0x46, 0x94, 0x8c, 0xad, 0x1e, 0xf1, 0xcb, 0xd3, 0xcd, 0x43, 0x44, + 0xb4, 0x20, 0x91, 0x9e, 0xf6, 0xd1, 0x03, 0xef, 0xc2, 0x04, 0xf7, 0x07, + 0xdb, 0xac, 0xa2, 0x28, 0x8c, 0x7d, 0x1d, 0x5d, 0x2c, 0x5a, 0xfc, 0x26, + 0x5b, 0x0b, 0x58, 0xb9, 0x9a, 0x47, 0xe9, 0xa0, 0xdf, 0xa5, 0x5a, 0xf3, + 0xe5, 0xd6, 0xeb, 0x69, 0xb5, 0x4e, 0xbc, 0x71, 0xc0, 0xd6, 0x9b, 0xb8, + 0x40, 0x3b, 0xc5, 0x72, 0x5d, 0x4d, 0x1b, 0x17, 0x3d, 0x36, 0xa4, 0xb1, + 0x15, 0xa7, 0x9a, 0x72, 0xeb, 0xf2, 0x9e, 0x40, 0xd1, 0xbc, 0x35, 0xc7, + 0xd1, 0x1a, 0x8f, 0x1c, 0x2b, 0x5e, 0xd8, 0xb3, 0x3b, 0x44, 0xae, 0xf5, + 0x81, 0xd0, 0x8a, 0x37, 0xab, 0xba, 0x22, 0xbc, 0x2d, 0x88, 0x2f, 0x24, + 0xbb, 0xb0, 0x1a, 0xa9, 0x5f, 0x07, 0x10, 0x6d, 0xc6, 0xbb, 0x3c, 0xa2, + 0x66, 0xf9, 0xb9, 0x95, 0xd6, 0x5e, 0x8c, 0xce, 0x04, 0xdc, 0xb3, 0x4c, + 0xbc, 0xe9, 0xc5, 0xcb, 0x19, 0x97, 0xe2, 0xa1, 0x09, 0x38, 0xd7, 0x82, + 0xa6, 0xbf, 0xc9, 0x15, 0x25, 0xf1, 0x2c, 0x77, 0xfc, 0xbd, 0xfa, 0x7f, + 0x92, 0xfe, 0xd6, 0x31, 0x03, 0x23, 0x2d, 0x17, 0x2f, 0x51, 0x9e, 0x5c, + 0xb1, 0x68, 0xc0, 0x3f, 0x42, 0x99, 0x00, 0x55, 0x33, 0x68, 0xd7, 0xee, + 0x51, 0x7d, 0x3e, 0x03, 0x4f, 0x02, 0x5f, 0x27, 0xdd, 0x17, 0x18, 0x6c, + 0x1e, 0x9d, 0x91, 0x65, 0xf8, 0xd7, 0xa6, 0x9f, 0xa1, 0xba, 0xa8, 0x76, + 0xe4, 0xd8, 0xf4, 0x59, 0x90, 0x16, 0x67, 0x88, 0xc2, 0xa9, 0xe4, 0x2d}; + +static const unsigned char subprime_weak_3072[] = { + 0xd6, 0xf6, 0xeb, 0x1e, 0x65, 0x44, 0xe1, 0x1a, 0x37, 0x69, 0x8c, + 0x60, 0x45, 0xcb, 0xcb, 0x52, 0xe4, 0x88, 0xcb, 0xad, 0xb2, 0x27, + 0x18, 0xfa, 0x3a, 0xcf, 0xc6, 0xf9, 0xc3, 0x03, 0xa8, 0xb9}; + +static const unsigned char base_weak_3072[] = { + 0x6e, 0x65, 0xcd, 0xd8, 0xbf, 0x8a, 0x5a, 0xa1, 0x05, 0x62, 0xa2, 0x64, + 0x88, 0x4a, 0x49, 0x1b, 0x57, 0xa8, 0x0e, 0x2e, 0x28, 0x4a, 0xe3, 0xaa, + 0xa7, 0x4e, 0xc7, 0x06, 0xe2, 0xf8, 0x9c, 0xd7, 0x05, 0x05, 0x6e, 0x5b, + 0x89, 0xd5, 0xa1, 0x16, 0xda, 0x2a, 0x2f, 0xe6, 0x86, 0xf0, 0x6e, 0xdc, + 0xd0, 0xbc, 0x0b, 0x39, 0x90, 0xe3, 0x74, 0x2c, 0x02, 0x6f, 0x7e, 0x32, + 0x2d, 0xf6, 0xd7, 0xa2, 0xfb, 0xe9, 0xaf, 0x8b, 0xb3, 0x1c, 0xd0, 0x78, + 0x4a, 0x76, 0xf8, 0xbd, 0x03, 0x5b, 0x0c, 0x68, 0x65, 0x23, 0x8a, 0x45, + 0xf3, 0x51, 0xe0, 0xe1, 0x96, 0x57, 0x7e, 0x05, 0x6c, 0xae, 0xaf, 0xa6, + 0x45, 0xdc, 0xa8, 0x36, 0x69, 0xa5, 0x13, 0x37, 0x4a, 0x16, 0x43, 0x11, + 0xab, 0x5b, 0xb6, 0xcf, 0x86, 0xb6, 0xf8, 0x44, 0xb9, 0x76, 0xe7, 0x1e, + 0x88, 0x99, 0x6f, 0xfe, 0xfb, 0x5c, 0xdb, 0x59, 0x4c, 0x26, 0xdb, 0x20, + 0x20, 0x97, 0x47, 0xda, 0x7b, 0x1d, 0xe9, 0x18, 0x1a, 0x89, 0x07, 0x3b, + 0xd1, 0xc8, 0x4c, 0xfd, 0xae, 0x35, 0x4c, 0xa0, 0x42, 0x94, 0x89, 0xc0, + 0xae, 0x2f, 0x94, 0x49, 0xd9, 0x7d, 0xb2, 0x4c, 0x50, 0x29, 0x46, 0x14, + 0x9a, 0x56, 0x49, 0x7a, 0x09, 0xa8, 0x95, 0x3a, 0x94, 0x06, 0x7c, 0xf0, + 0xea, 0x39, 0xcb, 0x33, 0xad, 0x28, 0xd1, 0x55, 0x02, 0xf5, 0x46, 0x0c, + 0x92, 0x12, 0x17, 0x05, 0x60, 0x97, 0xcd, 0x2f, 0x18, 0x5e, 0xe3, 0x41, + 0xe6, 0x46, 0x69, 0x27, 0x7d, 0x61, 0x00, 0x1e, 0x8d, 0x74, 0xa5, 0xc5, + 0xcb, 0xb9, 0xbc, 0x3f, 0x7a, 0x21, 0x23, 0x22, 0x1b, 0x15, 0x50, 0xb9, + 0x4b, 0x3b, 0x9f, 0xd5, 0xc0, 0x8c, 0xb9, 0x9d, 0x7e, 0xf4, 0x13, 0xc9, + 0x64, 0xe3, 0x7b, 0x44, 0xa7, 0x10, 0xad, 0x3c, 0xaf, 0xf0, 0x07, 0x8d, + 0x04, 0xc9, 0xa9, 0x36, 0x10, 0xb9, 0x8d, 0x7d, 0x43, 0x24, 0x7d, 0x8d, + 0x3c, 0x74, 0x58, 0x02, 0xb9, 0x4b, 0xe6, 0x6c, 0xa9, 0x9f, 0xdc, 0x50, + 0x5f, 0x62, 0x68, 0xc7, 0x14, 0xe7, 0x88, 0x33, 0x3e, 0x41, 0xad, 0x92, + 0x9d, 0x15, 0xd4, 0x77, 0xb9, 0xfb, 0x18, 0xd2, 0x8b, 0xb3, 0xc4, 0x0f, + 0x26, 0x04, 0xa4, 0xb1, 0xc1, 0x83, 0x96, 0x17, 0x67, 0x52, 0xa5, 0xfb, + 0x1b, 0x70, 0x20, 0x1c, 0x8c, 0x24, 0xc4, 0x5c, 0xd7, 0xe2, 0x12, 0xe3, + 0x31, 0x10, 0x4e, 0x85, 0xc2, 0xd2, 0x63, 0x3a, 0x75, 0xe0, 0x9e, 0x6f, + 0x78, 0x19, 0xb0, 0x40, 0x03, 0x32, 0x75, 0x6f, 0xea, 0x2f, 0x90, 0xb2, + 0x48, 0x79, 0xa1, 0xa0, 0x61, 0xf6, 0x13, 0xf3, 0x50, 0xa9, 0xec, 0x90, + 0x5d, 0xae, 0x45, 0x4f, 0x1b, 0x80, 0xd3, 0x96, 0x62, 0x05, 0x5b, 0x53, + 0x63, 0x99, 0xe5, 0xf2, 0x1b, 0xeb, 0x3e, 0x25, 0x2e, 0x72, 0xdb, 0x1f}; + +static const unsigned char prime_weak_4096[] = { + 0xff, 0x50, 0xd3, 0xcc, 0x89, 0x17, 0x5e, 0xb6, 0xf8, 0xa3, 0xb0, 0xe2, + 0xf9, 0x9f, 0x17, 0xa1, 0x92, 0x56, 0x15, 0x13, 0x12, 0x9f, 0x18, 0xdc, + 0x07, 0x00, 0xc2, 0x49, 0xc9, 0xd9, 0xd4, 0x0a, 0xe3, 0xd7, 0xf6, 0x60, + 0x21, 0xa9, 0x7b, 0xc0, 0x0f, 0x0e, 0xae, 0x3e, 0x77, 0x77, 0x48, 0xd8, + 0xfd, 0x42, 0xec, 0xb5, 0xae, 0x00, 0xab, 0xce, 0xd1, 0x11, 0xca, 0xd2, + 0x64, 0x5a, 0xa3, 0x6b, 0xba, 0xd1, 0x93, 0xea, 0xda, 0xd2, 0xa0, 0x60, + 0x39, 0x0b, 0x34, 0x4f, 0x0c, 0xf1, 0xb0, 0x52, 0x75, 0x51, 0x3d, 0x28, + 0x02, 0xb5, 0xbd, 0x42, 0x98, 0x20, 0xa7, 0x42, 0xb9, 0x21, 0x9a, 0xae, + 0xb6, 0x41, 0x7b, 0x70, 0xe3, 0xd9, 0xaf, 0x81, 0x1a, 0xc1, 0x39, 0x9c, + 0x52, 0x56, 0xcb, 0x0d, 0x6a, 0x67, 0x6f, 0x3d, 0x12, 0x76, 0x73, 0x53, + 0x95, 0x2d, 0xc1, 0x04, 0xdb, 0x83, 0xe4, 0xd0, 0xbe, 0x2d, 0xa6, 0x7a, + 0x0f, 0x80, 0x1b, 0xd0, 0x16, 0x14, 0x3a, 0xe0, 0x48, 0xfa, 0xf5, 0x44, + 0xa8, 0xe0, 0xbf, 0x98, 0xe1, 0x56, 0xea, 0x76, 0xb6, 0xe2, 0xa3, 0x5b, + 0x15, 0x79, 0x10, 0xb0, 0x41, 0xdc, 0x29, 0x0f, 0x1e, 0x37, 0x69, 0xcd, + 0x13, 0xbe, 0x2d, 0xe0, 0x73, 0x38, 0x68, 0xed, 0x50, 0x6a, 0xd0, 0xfb, + 0xcb, 0x17, 0x3a, 0x59, 0xfb, 0xec, 0xba, 0x75, 0xb6, 0x4e, 0x2f, 0x6e, + 0x97, 0x98, 0x0e, 0x79, 0x25, 0xdd, 0xd8, 0xf5, 0x34, 0xb4, 0xa0, 0x7e, + 0xba, 0x68, 0x7c, 0x4f, 0xfb, 0xe0, 0x97, 0x46, 0x50, 0x1e, 0x4a, 0x59, + 0x9c, 0xdc, 0x34, 0xe2, 0x2a, 0xb5, 0xc8, 0x58, 0x94, 0x48, 0x9f, 0xb8, + 0x36, 0xcb, 0xce, 0x36, 0xb1, 0x7c, 0xe5, 0x8d, 0x5b, 0x43, 0xd7, 0x88, + 0xdf, 0xae, 0xd0, 0xc9, 0x42, 0x5f, 0x0a, 0xe3, 0x63, 0x11, 0xc5, 0x0c, + 0x80, 0x55, 0x58, 0xd7, 0xf2, 0x51, 0x6e, 0xb3, 0x7e, 0x9d, 0x1c, 0xc3, + 0x61, 0x59, 0x5c, 0x47, 0xd4, 0x99, 0xc0, 0x67, 0xfb, 0xb2, 0xd6, 0x11, + 0xda, 0x92, 0x5b, 0x6b, 0xd2, 0x70, 0xb7, 0x69, 0x72, 0xe7, 0x06, 0xdd, + 0x40, 0xac, 0x81, 0x51, 0x1d, 0x52, 0x7a, 0x45, 0x38, 0x89, 0x27, 0x2c, + 0xc4, 0x4b, 0x7e, 0x5e, 0x79, 0xef, 0x84, 0x6a, 0x24, 0x4d, 0x9c, 0x9e, + 0xca, 0x75, 0x5c, 0x06, 0x6d, 0xd0, 0x52, 0xe9, 0xda, 0x9f, 0x46, 0xb6, + 0x62, 0x1d, 0xb3, 0xd9, 0xf2, 0x7d, 0xd6, 0xc2, 0x7a, 0x49, 0x7c, 0xdd, + 0x9b, 0xaa, 0xc3, 0x84, 0x0b, 0x08, 0x33, 0xb8, 0x80, 0xc3, 0x12, 0x8f, + 0xad, 0xac, 0x0f, 0x7f, 0xaf, 0x59, 0x61, 0x0d, 0x98, 0xc1, 0xf9, 0x68, + 0xc3, 0x1b, 0x10, 0x08, 0xc4, 0x33, 0x3c, 0xa4, 0xe2, 0xd5, 0xeb, 0x71, + 0x5d, 0x19, 0x7e, 0x05, 0xca, 0x9a, 0xf5, 0xbb, 0x71, 0x55, 0x83, 0x9c, + 0x25, 0x50, 0x35, 0x7f, 0x2d, 0xeb, 0xf2, 0x0d, 0xed, 0x3c, 0xb8, 0x71, + 0xbd, 0x08, 0xf5, 0x89, 0x7e, 0x5e, 0x38, 0x40, 0xd7, 0xed, 0x77, 0x8d, + 0x7a, 0xed, 0x2a, 0x9f, 0xfc, 0x01, 0xf4, 0xe2, 0xcf, 0xda, 0x8c, 0xa3, + 0x57, 0xdc, 0x14, 0xd6, 0xa1, 0xd9, 0x97, 0xb9, 0xe6, 0xfc, 0x48, 0x75, + 0x43, 0xbd, 0x3b, 0x91, 0x17, 0x3c, 0x33, 0xca, 0xce, 0x29, 0x09, 0x1b, + 0xe8, 0x9d, 0xb6, 0x74, 0x05, 0x5e, 0x2e, 0xa5, 0x1d, 0x7f, 0x3a, 0xa9, + 0x2c, 0xf6, 0x4d, 0x41, 0x90, 0xbc, 0x56, 0x18, 0x52, 0x02, 0x90, 0xef, + 0x71, 0xff, 0x3e, 0x0c, 0xf8, 0x00, 0x04, 0x07, 0xd5, 0x20, 0x26, 0xdd, + 0x5c, 0xb1, 0x37, 0x03, 0x20, 0x0c, 0xb4, 0xb6, 0x39, 0x49, 0x49, 0xaa, + 0xe7, 0x98, 0x01, 0xa2, 0x2e, 0x0a, 0x33, 0x82, 0x9e, 0xb9, 0x24, 0xb7, + 0x80, 0xdf, 0xd3, 0xdf, 0x04, 0xe4, 0x50, 0x9d}; + +#ifdef NSS_SOFTOKEN_DH_INCLUDE_SLOW +static const unsigned char subprime_weak_4096[] = { + 0xcf, 0xd9, 0x38, 0x6d, 0x5b, 0x8d, 0x82, 0x9d, 0xa8, 0xe7, 0x9f, + 0x21, 0x46, 0xcc, 0x15, 0xea, 0x61, 0x31, 0x13, 0x5d, 0x50, 0xcd, + 0x99, 0x26, 0xf9, 0x44, 0x28, 0x44, 0xc8, 0xae, 0xb7, 0x8f}; +#endif + +static const unsigned char base_weak_4096[] = { + 0x55, 0xa1, 0x9d, 0x92, 0x16, 0x3d, 0x9c, 0xfa, 0xd7, 0x7c, 0x71, 0xea, + 0x29, 0x53, 0x9b, 0xdc, 0x8e, 0xa6, 0xbb, 0x06, 0xd5, 0x00, 0x5d, 0x6c, + 0x8e, 0x5d, 0x44, 0xb9, 0x13, 0x4b, 0x20, 0x92, 0x6d, 0x39, 0x9d, 0x34, + 0xaf, 0x9b, 0x12, 0x1d, 0xc5, 0xea, 0xb2, 0x89, 0x05, 0xa6, 0x49, 0x9f, + 0xd8, 0xf4, 0xba, 0x33, 0xab, 0x28, 0xf2, 0x2f, 0xf6, 0x49, 0x37, 0x0e, + 0xb2, 0xc6, 0x41, 0x8c, 0x91, 0x97, 0x07, 0xf8, 0xa3, 0x88, 0x12, 0x6b, + 0xe8, 0x85, 0x0e, 0x26, 0x0a, 0x79, 0xe2, 0x48, 0x1c, 0x5c, 0xee, 0x99, + 0x4b, 0xd1, 0xf7, 0xe8, 0xff, 0xae, 0x5b, 0xd1, 0xf4, 0x5e, 0x6a, 0x09, + 0xc2, 0xa0, 0xc3, 0x14, 0xe3, 0xc6, 0x25, 0x3e, 0xe4, 0xff, 0xd7, 0x38, + 0xb4, 0xf4, 0xda, 0xab, 0xde, 0x84, 0x08, 0xd3, 0x53, 0xce, 0xb9, 0x5f, + 0x41, 0x4a, 0x02, 0x9f, 0xe1, 0x90, 0x3a, 0x80, 0x2f, 0xc5, 0xbb, 0xcc, + 0x92, 0xa8, 0x76, 0xa4, 0x78, 0x32, 0x70, 0x50, 0x21, 0x54, 0x4a, 0x97, + 0x4b, 0x8f, 0x2f, 0x61, 0x66, 0x65, 0x57, 0x2e, 0xf3, 0x64, 0x0e, 0x7e, + 0xa0, 0xf7, 0xf7, 0x5a, 0x32, 0xd9, 0x88, 0xf7, 0x4c, 0x4b, 0xd6, 0x5a, + 0xe1, 0x82, 0xd7, 0x6e, 0x4d, 0xee, 0xa2, 0xf0, 0x4e, 0x3f, 0x26, 0xba, + 0xfa, 0xfb, 0xe2, 0x1d, 0x64, 0x19, 0x10, 0x77, 0x99, 0xf4, 0x02, 0x46, + 0x30, 0xb0, 0xb1, 0x4b, 0xb2, 0xbd, 0x2c, 0xd4, 0xf8, 0xf2, 0x7f, 0xaf, + 0xd6, 0x80, 0xa4, 0x16, 0x72, 0x39, 0x0b, 0x83, 0x7d, 0x1a, 0x03, 0xcf, + 0x0c, 0xdc, 0xaa, 0x9c, 0x21, 0x61, 0xef, 0x12, 0x92, 0xc5, 0x71, 0x50, + 0x7f, 0x66, 0xda, 0x28, 0x50, 0xfa, 0x18, 0x33, 0xb8, 0x86, 0x50, 0x1a, + 0x8e, 0x6b, 0x6f, 0xd3, 0xe2, 0x7d, 0x6e, 0x3f, 0x6d, 0x9b, 0x26, 0x33, + 0x98, 0x82, 0x95, 0x2a, 0xdf, 0x11, 0xf8, 0xb6, 0x05, 0x10, 0x3d, 0x39, + 0x23, 0x28, 0x4a, 0x35, 0x72, 0xc4, 0x7f, 0x47, 0x5a, 0x0b, 0xcb, 0xed, + 0x54, 0xd3, 0x81, 0xdf, 0xd7, 0x0c, 0xf6, 0xbe, 0xca, 0x8e, 0xac, 0x22, + 0x67, 0xd4, 0xf9, 0xcb, 0xaf, 0xe6, 0x42, 0x58, 0x97, 0x0f, 0x24, 0xdf, + 0xb8, 0x85, 0xbe, 0x34, 0xd7, 0x68, 0xfa, 0xbf, 0xc5, 0xcb, 0x61, 0x8b, + 0xbf, 0xa8, 0xf7, 0x64, 0xee, 0xf3, 0x8d, 0xf7, 0x5b, 0x6e, 0xe8, 0x07, + 0xa0, 0x6d, 0xb5, 0x75, 0xa2, 0x33, 0x1f, 0xe0, 0x3e, 0x82, 0xc0, 0xef, + 0xeb, 0x6a, 0x8a, 0xba, 0x87, 0xb4, 0x44, 0x66, 0xb2, 0xe7, 0x06, 0xa5, + 0x5a, 0x02, 0x26, 0xa7, 0x8d, 0x57, 0xa7, 0x28, 0x62, 0x20, 0x0e, 0x3b, + 0xff, 0x90, 0xca, 0x9e, 0x95, 0xdf, 0xf3, 0x63, 0x8c, 0xc0, 0xd6, 0x1b, + 0xaa, 0x5e, 0x66, 0x54, 0xb2, 0x77, 0x4d, 0xd4, 0xd3, 0x99, 0xeb, 0xba, + 0xc1, 0x3c, 0xe3, 0xf7, 0x48, 0x65, 0x9f, 0xb3, 0x0c, 0x96, 0x3f, 0x3b, + 0x2f, 0x10, 0x80, 0x8f, 0x59, 0x49, 0xa0, 0x26, 0x68, 0xf9, 0x8e, 0x0b, + 0x66, 0x6e, 0xc1, 0x57, 0x77, 0x5d, 0xc7, 0x4b, 0x3b, 0x73, 0xa7, 0x75, + 0x80, 0x0d, 0x93, 0x36, 0x62, 0xf5, 0x5f, 0xa0, 0x71, 0x72, 0x54, 0x33, + 0x3b, 0xc8, 0xee, 0x68, 0x70, 0xdc, 0x1e, 0x39, 0x04, 0x1e, 0x98, 0xd4, + 0x7f, 0x57, 0x0e, 0x5d, 0x6e, 0x3f, 0x27, 0xc1, 0x7d, 0x50, 0x13, 0x5b, + 0x31, 0xfe, 0x7b, 0x12, 0xd5, 0x42, 0xda, 0x8d, 0x0e, 0x69, 0xcc, 0xa1, + 0xc4, 0x90, 0xf5, 0x37, 0x13, 0x20, 0x42, 0x74, 0xea, 0x79, 0xde, 0x84, + 0x6d, 0x8e, 0xcf, 0x57, 0x0b, 0x9f, 0xa6, 0x1d, 0xbe, 0x42, 0xb2, 0x47, + 0xf8, 0x7e, 0x51, 0x2e, 0x8b, 0x5e, 0x7d, 0x3d, 0x98, 0x1e, 0x43, 0x2b, + 0x32, 0x2f, 0xcb, 0x64, 0xd9, 0x43, 0x2b, 0xae}; + +static const unsigned char prime_weak_6144[] = { + 0xa2, 0x24, 0x96, 0xb6, 0x21, 0x68, 0xd5, 0x7e, 0x2c, 0x60, 0x4d, 0xc8, + 0x81, 0x59, 0x9c, 0x1c, 0x70, 0xec, 0x24, 0x28, 0xb6, 0x52, 0x36, 0x09, + 0x87, 0xaa, 0xc1, 0x5b, 0xe5, 0xa6, 0x3e, 0x88, 0x54, 0x05, 0xe3, 0x09, + 0x09, 0xca, 0x6d, 0x9b, 0xc4, 0x8d, 0x26, 0xaf, 0xd7, 0xee, 0x9f, 0x0d, + 0xbd, 0x44, 0x8e, 0xfe, 0xcd, 0xf2, 0xe6, 0xde, 0xac, 0xf2, 0x02, 0x37, + 0xdc, 0x35, 0xc2, 0xce, 0xcd, 0x5f, 0xc5, 0x87, 0x0f, 0x99, 0xa7, 0xdb, + 0x0f, 0x1a, 0xcd, 0x76, 0xaa, 0x4a, 0xa5, 0x09, 0x60, 0x60, 0xe3, 0x58, + 0xe4, 0x52, 0x07, 0x1b, 0x42, 0x17, 0x11, 0x50, 0x2b, 0x40, 0x95, 0x8d, + 0x48, 0xa0, 0x34, 0x95, 0x25, 0x38, 0xcf, 0x09, 0x94, 0xe6, 0x55, 0x06, + 0x8a, 0xde, 0xdc, 0x41, 0x4a, 0xd9, 0x1f, 0x80, 0x82, 0x1d, 0xb8, 0x1e, + 0x84, 0x60, 0xde, 0xed, 0x4f, 0xc0, 0xd8, 0x1d, 0x54, 0xda, 0xb3, 0xf3, + 0x0e, 0x54, 0x3f, 0x18, 0x88, 0xff, 0x25, 0x31, 0xc6, 0x16, 0xe6, 0x70, + 0xfa, 0xc4, 0x08, 0xfc, 0x00, 0x8b, 0xf6, 0x9d, 0x29, 0x8a, 0x59, 0x49, + 0xed, 0x5c, 0x34, 0x7a, 0x84, 0x79, 0x40, 0xc1, 0x7e, 0x82, 0x17, 0x36, + 0xc8, 0x96, 0xb5, 0xd2, 0xf9, 0xdb, 0xc0, 0x10, 0x9f, 0xf8, 0x95, 0x35, + 0x6f, 0xb0, 0xb9, 0x48, 0x88, 0xdc, 0xf0, 0x4d, 0x30, 0xcd, 0x15, 0xfd, + 0x2f, 0xba, 0x18, 0xcc, 0x94, 0x50, 0x3f, 0xfe, 0x60, 0x3d, 0x7a, 0x46, + 0xef, 0xc4, 0xcd, 0x14, 0xe0, 0xef, 0x97, 0x81, 0xa1, 0x95, 0xe3, 0xa5, + 0x91, 0x9a, 0xf7, 0x9f, 0x7c, 0xfa, 0x0c, 0x69, 0xb6, 0xdf, 0xdb, 0xaf, + 0x31, 0xd8, 0xa8, 0x77, 0x6a, 0xba, 0xba, 0x80, 0xff, 0x3f, 0x5f, 0x86, + 0x9f, 0x80, 0x03, 0x1e, 0xd0, 0x5f, 0x37, 0x50, 0x61, 0xfc, 0x03, 0xd8, + 0x93, 0xa1, 0x79, 0x62, 0xfa, 0x92, 0xb8, 0x4a, 0x66, 0x99, 0xd7, 0x85, + 0x8d, 0x0f, 0x07, 0x02, 0x03, 0x83, 0x8c, 0x20, 0xa5, 0x9c, 0x2f, 0xfd, + 0x22, 0x5a, 0xf0, 0x95, 0x1e, 0xbf, 0x17, 0xf1, 0x3a, 0x40, 0x7f, 0xce, + 0x94, 0x62, 0x5f, 0x58, 0xe5, 0xf3, 0x99, 0x8c, 0x38, 0x8f, 0x05, 0x10, + 0x68, 0xea, 0x41, 0xb5, 0xc0, 0x6f, 0x4f, 0x63, 0x87, 0x1d, 0x98, 0xc3, + 0x31, 0x66, 0x1e, 0x9f, 0x2d, 0x3c, 0x6e, 0x9f, 0xb3, 0xcf, 0x8e, 0x77, + 0xf5, 0x3c, 0x51, 0x5a, 0xee, 0x82, 0xa1, 0xc5, 0x53, 0x20, 0x75, 0xd1, + 0xa8, 0x02, 0x37, 0x43, 0x08, 0x16, 0x05, 0x01, 0xed, 0xea, 0xf1, 0x52, + 0x58, 0x20, 0x94, 0x85, 0x05, 0x2e, 0x48, 0x3f, 0x47, 0x49, 0x4f, 0x01, + 0x44, 0xbd, 0x1e, 0x42, 0xea, 0x90, 0x90, 0x23, 0x99, 0x05, 0xfd, 0x37, + 0x41, 0x0c, 0x2f, 0xc4, 0x20, 0x04, 0x99, 0xee, 0x0f, 0xbb, 0xc2, 0x6d, + 0x0a, 0x7f, 0x24, 0x5a, 0x17, 0xa4, 0xeb, 0x9c, 0x67, 0xfe, 0x64, 0x0d, + 0xea, 0xb7, 0x20, 0x48, 0x40, 0x3b, 0x25, 0xed, 0x51, 0x5c, 0xfc, 0x20, + 0x18, 0xb6, 0xfc, 0x3e, 0xdb, 0xd9, 0xa1, 0xbd, 0x9e, 0xee, 0xcb, 0x5d, + 0x02, 0xfe, 0x7f, 0x42, 0x9d, 0xc9, 0xce, 0xfa, 0xe1, 0xd8, 0xf2, 0x05, + 0x67, 0x35, 0x88, 0x4e, 0xd7, 0x70, 0x97, 0x63, 0xb5, 0x0c, 0x60, 0x89, + 0xc0, 0xfe, 0x32, 0xd7, 0xae, 0x4b, 0xf1, 0x0a, 0xae, 0x3c, 0xde, 0x18, + 0x9c, 0x1d, 0xd2, 0xda, 0xf2, 0x02, 0x8d, 0xf1, 0x07, 0xd6, 0x5e, 0xb7, + 0xba, 0xaf, 0x81, 0x97, 0xee, 0xe0, 0x9d, 0x51, 0xf3, 0x1d, 0xc1, 0x5d, + 0x43, 0xe2, 0x0b, 0x0c, 0x9c, 0x0d, 0x74, 0x91, 0x20, 0x6f, 0x65, 0xf1, + 0xf2, 0x84, 0x02, 0x38, 0xb5, 0xe5, 0x10, 0x21, 0xfc, 0xe6, 0xc3, 0x4b, + 0x60, 0x49, 0x6a, 0xf1, 0xd5, 0x50, 0x0f, 0x6f, 0x8b, 0x1e, 0x80, 0xf3, + 0x5d, 0x29, 0xee, 0x60, 0xab, 0x26, 0xa5, 0x8c, 0xc4, 0x4c, 0xcb, 0xa6, + 0xaa, 0xe3, 0xfe, 0xd1, 0x67, 0x48, 0xb4, 0xfa, 0xbf, 0x57, 0xfe, 0x62, + 0x85, 0xa0, 0xac, 0xdc, 0x4e, 0x71, 0x01, 0xcc, 0x12, 0xec, 0x80, 0x95, + 0x54, 0xdc, 0x14, 0x9e, 0x20, 0xda, 0x5a, 0xbd, 0xee, 0x76, 0xbe, 0x39, + 0xcf, 0xbd, 0x8a, 0xe3, 0x0e, 0x71, 0x85, 0xe4, 0x3c, 0x62, 0x3b, 0xf8, + 0x6e, 0x70, 0xd4, 0xd6, 0x2e, 0xe0, 0x5e, 0x11, 0x9d, 0x33, 0xd9, 0x30, + 0xff, 0x3b, 0xcc, 0x2a, 0x39, 0xc4, 0x6f, 0xfd, 0xca, 0x88, 0xad, 0x28, + 0xa2, 0xe8, 0xa8, 0xd7, 0xe6, 0x08, 0x0d, 0xaf, 0x9d, 0xd8, 0xc8, 0x41, + 0x66, 0x84, 0x66, 0x86, 0x2b, 0x81, 0x3b, 0x6c, 0xc6, 0x76, 0x27, 0x6a, + 0x0d, 0x96, 0x0e, 0x65, 0x3e, 0xdf, 0xf5, 0x68, 0x04, 0x9d, 0x2d, 0x26, + 0x8b, 0xca, 0x0a, 0x79, 0x2a, 0xb4, 0xa0, 0xb3, 0x18, 0x4a, 0xea, 0x6a, + 0xd2, 0x14, 0xcd, 0x47, 0x85, 0x9f, 0x86, 0xd7, 0xde, 0xaa, 0x1e, 0x0e, + 0x71, 0x13, 0xec, 0xfe, 0x7c, 0x69, 0xbf, 0x22, 0xf0, 0x61, 0x50, 0x97, + 0x77, 0xc2, 0x2b, 0x31, 0x89, 0x11, 0xd6, 0x08, 0xb1, 0xd4, 0xce, 0xba, + 0xa0, 0x16, 0x9c, 0x2b, 0x8b, 0x3e, 0x17, 0xd8, 0xea, 0xe1, 0xf1, 0x20, + 0x7f, 0x3e, 0x76, 0x9f, 0x2f, 0x46, 0xc3, 0xaf, 0xc4, 0xba, 0xc9, 0x63, + 0xf7, 0xbb, 0x98, 0x6d, 0x60, 0x16, 0x04, 0x14, 0xc2, 0xed, 0x2e, 0xc3, + 0x00, 0x4f, 0x8f, 0x9d, 0xc6, 0xd9, 0xcd, 0xc1, 0xab, 0x4e, 0x67, 0xed, + 0xf8, 0xd2, 0x62, 0x13, 0xfa, 0x11, 0x31, 0xbb, 0x08, 0xdd, 0x4e, 0x89, + 0x4a, 0xff, 0x07, 0x89, 0xb5, 0x6c, 0xc3, 0xfe, 0x76, 0x6d, 0x10, 0x4c, + 0x1e, 0x10, 0x55, 0x22, 0x95, 0xfe, 0x09, 0xa5, 0x6e, 0x73, 0x0c, 0x2b}; + +#ifdef NSS_SOFTOKEN_DH_INCLUDE_SLOW +static const unsigned char subprime_weak_6144[] = { + 0xa8, 0x61, 0x65, 0x91, 0xb2, 0x43, 0xe3, 0x04, 0x25, 0x77, 0xb0, + 0x5a, 0xc5, 0xb1, 0x50, 0x19, 0x31, 0x2a, 0xd4, 0x79, 0x93, 0xc4, + 0x90, 0x9b, 0x27, 0xf1, 0x1e, 0xbb, 0x6e, 0x08, 0x98, 0xb1}; +#endif + +static const unsigned char base_weak_6144[] = { + 0x34, 0xc2, 0xb2, 0x1f, 0xd9, 0x4e, 0xb6, 0xfd, 0x6c, 0x01, 0x47, 0xb9, + 0x50, 0xf1, 0xbe, 0x07, 0x1c, 0xdd, 0x67, 0xa2, 0xf1, 0x7c, 0x0d, 0xe5, + 0x9b, 0x7c, 0x9e, 0x0e, 0xd9, 0xf8, 0x81, 0xa1, 0xcf, 0x12, 0x28, 0x69, + 0xcd, 0xdf, 0x8a, 0x91, 0xad, 0x53, 0x0e, 0x31, 0x0c, 0xff, 0x4f, 0xaa, + 0x4f, 0x24, 0xa3, 0xd8, 0xc5, 0x56, 0xef, 0x21, 0xd6, 0x03, 0xcc, 0x87, + 0xab, 0xde, 0x7b, 0xbb, 0xbc, 0x1c, 0x91, 0xd4, 0x1d, 0x08, 0xe8, 0x26, + 0xba, 0x6e, 0x0c, 0x17, 0x1f, 0xb1, 0x29, 0x17, 0x04, 0x6c, 0x84, 0xd5, + 0x43, 0xc1, 0x35, 0xfd, 0x5a, 0x03, 0xd2, 0x9f, 0x30, 0xf7, 0xa5, 0xd5, + 0xb3, 0xc7, 0x5e, 0x00, 0x51, 0x31, 0x49, 0xec, 0x9b, 0xdd, 0x51, 0xee, + 0x84, 0xf4, 0x5f, 0xbe, 0x81, 0x23, 0x1e, 0xae, 0x99, 0x08, 0xdb, 0x26, + 0x41, 0xea, 0xcb, 0x7f, 0x40, 0xf6, 0x7b, 0x7f, 0xf7, 0x45, 0xcc, 0x7c, + 0x05, 0x35, 0xa8, 0x9f, 0x5a, 0x61, 0xf2, 0x71, 0xd4, 0x9b, 0x36, 0x19, + 0x69, 0xcd, 0x15, 0x06, 0x7a, 0xd7, 0x65, 0x04, 0x23, 0xa1, 0xf0, 0x18, + 0x16, 0xb1, 0x33, 0x45, 0x22, 0x14, 0xce, 0xc2, 0xfa, 0x6f, 0x5e, 0x4e, + 0x80, 0xc0, 0x99, 0x82, 0x6c, 0x2e, 0x6e, 0xaa, 0x0f, 0x5d, 0x60, 0xdc, + 0xc0, 0x91, 0x8f, 0x8b, 0xdd, 0x6c, 0xd2, 0xc2, 0x2e, 0x7a, 0xb6, 0x97, + 0x0a, 0x9c, 0x3c, 0x98, 0xe2, 0xd1, 0x5f, 0x6e, 0x1c, 0xbd, 0xb5, 0xdc, + 0x59, 0x3e, 0xb8, 0x94, 0x22, 0x89, 0x80, 0x0f, 0x75, 0x87, 0x18, 0x58, + 0x14, 0xb8, 0xa0, 0x80, 0x04, 0x33, 0x31, 0x34, 0x96, 0xd8, 0x0c, 0xc6, + 0xfd, 0xd0, 0x2b, 0xee, 0x52, 0xbf, 0x1f, 0x77, 0xfd, 0x18, 0xba, 0x77, + 0xb4, 0xf7, 0xcc, 0xc6, 0x5d, 0x50, 0x10, 0x94, 0xd8, 0x99, 0xce, 0x8d, + 0x2c, 0xc0, 0xa1, 0xd1, 0x44, 0xde, 0x90, 0x77, 0x45, 0x6a, 0x52, 0xbe, + 0x02, 0x8d, 0x21, 0x98, 0x76, 0xc9, 0x78, 0x31, 0x84, 0x21, 0xc6, 0x7d, + 0xb5, 0xcd, 0x65, 0x1e, 0x33, 0xea, 0x26, 0xe1, 0x5c, 0x1b, 0x4d, 0x66, + 0xc7, 0x08, 0xc9, 0xd5, 0x83, 0x8a, 0x2e, 0x80, 0x1c, 0xb8, 0x4d, 0x5f, + 0xf0, 0x28, 0x10, 0x02, 0x08, 0xd4, 0xe9, 0x87, 0xff, 0x5e, 0xe6, 0x39, + 0x4a, 0x40, 0xe6, 0x96, 0x64, 0xe5, 0x99, 0xbd, 0x69, 0xd3, 0x9a, 0xc6, + 0x0f, 0xea, 0x99, 0x34, 0x16, 0x06, 0x8d, 0xc4, 0xe9, 0x1e, 0x30, 0x31, + 0xa3, 0x23, 0xf2, 0xf6, 0x34, 0x65, 0x28, 0xe4, 0x6e, 0xfc, 0x85, 0x27, + 0xa2, 0x59, 0xb0, 0x19, 0x32, 0x7b, 0x07, 0x7b, 0x71, 0xa8, 0xb2, 0x9d, + 0x49, 0x14, 0xcd, 0xe5, 0x4e, 0x58, 0x34, 0xa8, 0x33, 0x7d, 0x99, 0xb8, + 0x48, 0x54, 0x1a, 0xc0, 0xd4, 0xb1, 0xaa, 0x15, 0x00, 0xe8, 0x7e, 0x9e, + 0x02, 0xcc, 0xde, 0x93, 0xe8, 0x73, 0x92, 0xf3, 0x3d, 0x99, 0x04, 0x21, + 0xc2, 0xa9, 0xb8, 0x1c, 0xfd, 0x9a, 0xfd, 0x30, 0xb4, 0x85, 0x5b, 0xbb, + 0x48, 0x0a, 0x7d, 0xfe, 0xc9, 0x49, 0x72, 0xdd, 0xbe, 0x6c, 0x3a, 0x2b, + 0x64, 0xc5, 0x85, 0xa8, 0xb4, 0x7c, 0x3a, 0xcb, 0x5f, 0x59, 0x62, 0xd6, + 0x2b, 0x62, 0x2d, 0xdb, 0x77, 0x96, 0x29, 0x9b, 0x75, 0x21, 0x4a, 0xaa, + 0xff, 0x19, 0xe4, 0x95, 0x2b, 0x7f, 0xec, 0xcb, 0x49, 0xd9, 0xa0, 0x70, + 0xc8, 0x5f, 0x0a, 0x5f, 0x27, 0x05, 0xf2, 0xff, 0xaa, 0x94, 0x47, 0x75, + 0x22, 0xf0, 0xe9, 0x29, 0x05, 0x45, 0x08, 0xb8, 0x24, 0xa5, 0x89, 0x0a, + 0xd4, 0x94, 0xfc, 0xe8, 0x55, 0x67, 0x1f, 0x16, 0x0e, 0x0f, 0xdb, 0xdf, + 0xcf, 0x4a, 0xba, 0x8f, 0x57, 0x4a, 0xf2, 0xe7, 0x8c, 0xe1, 0xe9, 0x5c, + 0x4a, 0xae, 0x2e, 0x85, 0x47, 0x93, 0x57, 0x6f, 0xb1, 0xea, 0xad, 0xaa, + 0x38, 0x52, 0x81, 0xe0, 0x14, 0xed, 0x16, 0xc5, 0xd3, 0xef, 0x70, 0x28, + 0x7e, 0x64, 0x52, 0xe2, 0x4a, 0x84, 0xdb, 0x44, 0x77, 0x87, 0x4e, 0x39, + 0x89, 0x73, 0x96, 0x3f, 0x5a, 0xfa, 0xb3, 0xa2, 0x88, 0x3d, 0x66, 0x41, + 0xbf, 0xdb, 0xa9, 0xb0, 0xbf, 0xec, 0x6f, 0x86, 0x25, 0x7f, 0x58, 0xce, + 0xc9, 0xa0, 0x1c, 0x3d, 0xf0, 0x0e, 0x08, 0xa7, 0x6e, 0x85, 0x15, 0x7f, + 0x0f, 0x5c, 0x1d, 0xfd, 0xfa, 0x86, 0x02, 0x73, 0x75, 0x21, 0xe4, 0xb4, + 0x98, 0x57, 0x87, 0x16, 0xbf, 0xd4, 0xdf, 0xd3, 0x5e, 0x62, 0x3b, 0x52, + 0xc4, 0xd6, 0xee, 0xed, 0x07, 0x51, 0x3f, 0x31, 0x50, 0x04, 0xc6, 0x8b, + 0xea, 0xfa, 0x04, 0x10, 0x54, 0xa9, 0x1a, 0xf1, 0x5c, 0x5e, 0xb0, 0x3a, + 0xf3, 0xcc, 0x65, 0xb1, 0x01, 0x98, 0x8e, 0x96, 0x6d, 0x55, 0x5f, 0x5b, + 0xfb, 0x09, 0xfa, 0x1f, 0x4c, 0x03, 0x11, 0x6f, 0xb9, 0x69, 0xfd, 0x8c, + 0x7a, 0xf6, 0x16, 0x51, 0x9f, 0xc0, 0xdf, 0x42, 0x91, 0xc8, 0xd5, 0x7c, + 0x58, 0xd3, 0xac, 0xdc, 0x53, 0xb4, 0x38, 0xe9, 0xbc, 0x76, 0x1e, 0x9b, + 0xf8, 0x53, 0x5c, 0xd2, 0xea, 0x11, 0xa0, 0x7e, 0x24, 0x36, 0x12, 0xff, + 0xac, 0x4f, 0x9d, 0x2d, 0xdc, 0x2a, 0x2b, 0xf7, 0xb6, 0x79, 0x1a, 0xa3, + 0x59, 0x09, 0x34, 0x56, 0x04, 0x8f, 0xfe, 0x1b, 0x3d, 0xf9, 0x73, 0xd1, + 0xc7, 0x30, 0x3d, 0x97, 0xc5, 0x2f, 0x4b, 0x0b, 0x66, 0xad, 0x4b, 0x4a, + 0xcd, 0xc9, 0x2d, 0xaa, 0xdd, 0x3a, 0x9a, 0x22, 0x89, 0x4c, 0x8c, 0xc6, + 0x1e, 0xbd, 0xa4, 0xbd, 0x43, 0x0b, 0x52, 0xfb, 0xcd, 0x07, 0x04, 0x43, + 0x77, 0xf7, 0x11, 0x7a, 0x70, 0x4f, 0x4a, 0xae, 0xb3, 0x7b, 0x99, 0x7e, + 0x90, 0x17, 0x8b, 0xca, 0x77, 0xfc, 0x15, 0x4b, 0xda, 0xc1, 0x7c, 0x56}; + +static const unsigned char prime_weak_8192[] = { + 0x93, 0xdf, 0x6d, 0x37, 0xdc, 0x2a, 0xa4, 0xab, 0x5d, 0xdc, 0x73, 0x42, + 0x12, 0x18, 0x8f, 0x39, 0x47, 0x73, 0xf5, 0x3e, 0xbc, 0x6e, 0x0d, 0x2a, + 0x68, 0x5d, 0x53, 0x4f, 0x22, 0x8c, 0xa8, 0xa8, 0x4a, 0xac, 0x6a, 0x60, + 0x54, 0xca, 0x1a, 0x75, 0xda, 0x85, 0x02, 0x5e, 0x80, 0xbb, 0x9b, 0x5a, + 0x74, 0x96, 0x69, 0xc2, 0x7c, 0x84, 0x1f, 0x76, 0x0d, 0x53, 0xe4, 0x0b, + 0x32, 0xf3, 0x4b, 0xf6, 0x92, 0x5b, 0x2c, 0x98, 0x5d, 0xa9, 0x60, 0xdc, + 0x17, 0x5b, 0xfb, 0xb5, 0x0e, 0x38, 0xae, 0x63, 0x16, 0x79, 0xa4, 0xc5, + 0x76, 0x74, 0x20, 0x97, 0x5b, 0xdc, 0xa9, 0x88, 0xd1, 0x14, 0x46, 0x3e, + 0x1d, 0xe6, 0xca, 0xb5, 0x38, 0x57, 0xfd, 0xeb, 0x66, 0x2a, 0xfa, 0x8c, + 0x30, 0x07, 0xea, 0xb4, 0xbc, 0x79, 0x33, 0x14, 0xdf, 0x8f, 0x1d, 0x60, + 0x47, 0xc7, 0x23, 0xd9, 0x7f, 0xe3, 0x1c, 0x94, 0xa9, 0xbb, 0x2d, 0x1b, + 0x37, 0x64, 0x20, 0xcf, 0x68, 0x52, 0x39, 0xd9, 0x6f, 0x23, 0x50, 0xb2, + 0x67, 0xc8, 0x47, 0xaa, 0x39, 0x96, 0xd2, 0xfd, 0x9b, 0x9c, 0x86, 0x71, + 0xd8, 0x7c, 0x67, 0xb5, 0x7a, 0x9d, 0x4f, 0xf8, 0x8f, 0x34, 0x64, 0xcb, + 0xdb, 0x85, 0x11, 0x97, 0x86, 0xf7, 0xa1, 0x19, 0x2a, 0x10, 0x7a, 0xf2, + 0x15, 0x1b, 0x0c, 0x6e, 0x64, 0xf1, 0x18, 0x53, 0xf9, 0x9a, 0xdd, 0x7c, + 0x0d, 0x7c, 0x3d, 0x39, 0x9c, 0xa3, 0xc5, 0xf8, 0x68, 0x6f, 0xb4, 0x35, + 0xf8, 0x1d, 0xb8, 0xc8, 0xab, 0xea, 0x58, 0xf3, 0xbb, 0x78, 0xf3, 0xe2, + 0xa6, 0x16, 0xb3, 0x4a, 0x0a, 0x56, 0x5b, 0x44, 0xac, 0xcb, 0x66, 0x5d, + 0xa3, 0x62, 0x71, 0x91, 0x05, 0xd4, 0x97, 0x72, 0x33, 0x77, 0x43, 0x31, + 0x35, 0x9c, 0x43, 0xb8, 0xd5, 0x85, 0xdb, 0x8e, 0x28, 0xcb, 0x29, 0x98, + 0xb7, 0xfe, 0x6a, 0xf6, 0x08, 0x89, 0x82, 0xfc, 0xe6, 0x5d, 0x62, 0x68, + 0x55, 0xac, 0x3b, 0x9d, 0x82, 0xcd, 0x06, 0x10, 0x53, 0x93, 0x1d, 0x66, + 0x6a, 0xce, 0x63, 0x2c, 0x49, 0x36, 0xf3, 0x0d, 0x1c, 0x3f, 0x24, 0xd0, + 0x7f, 0xb2, 0xa0, 0xcf, 0x76, 0x2a, 0x16, 0xa2, 0x6f, 0x6b, 0xf4, 0xfe, + 0xb5, 0xca, 0x99, 0x44, 0x7c, 0xfc, 0x3b, 0xc1, 0xe4, 0x09, 0xf5, 0x7b, + 0x6d, 0x6c, 0xa1, 0x15, 0x10, 0x00, 0x4c, 0x75, 0x4d, 0x2a, 0x80, 0x95, + 0x90, 0x9a, 0x15, 0x5e, 0x77, 0x28, 0x8e, 0x83, 0x40, 0x85, 0x1f, 0x2d, + 0x70, 0x17, 0xa0, 0xb0, 0x7d, 0xe5, 0xfa, 0x81, 0x51, 0xbe, 0xb4, 0x16, + 0xf6, 0x54, 0x9f, 0x0e, 0xa3, 0xe2, 0x1e, 0x5e, 0x9b, 0x1c, 0xda, 0x0e, + 0x9f, 0x93, 0x5c, 0xf4, 0x43, 0xbd, 0x9c, 0x1e, 0x16, 0x67, 0xb5, 0x42, + 0x94, 0x70, 0xf8, 0x79, 0x0c, 0x2d, 0x48, 0xc1, 0x24, 0xc5, 0xc6, 0xa9, + 0x64, 0x0c, 0x44, 0xec, 0x99, 0xae, 0xb5, 0xe7, 0xc1, 0x24, 0x8a, 0x6c, + 0xd1, 0xa2, 0xbf, 0x4c, 0x6b, 0x0b, 0xe9, 0xf0, 0x98, 0x3d, 0xc7, 0x9c, + 0xe1, 0x8d, 0x1a, 0xde, 0xc4, 0x44, 0x43, 0xc6, 0xbf, 0x38, 0x62, 0x25, + 0x91, 0x42, 0x84, 0x01, 0x28, 0xcb, 0x80, 0xbc, 0x39, 0x4c, 0xc3, 0x3f, + 0xf6, 0xdf, 0xe1, 0xe6, 0xc9, 0x77, 0x35, 0x57, 0x2f, 0x89, 0x9d, 0xfa, + 0xaf, 0x37, 0xd6, 0x33, 0x71, 0x34, 0xff, 0x52, 0x28, 0xb3, 0x3c, 0x96, + 0x68, 0x10, 0x12, 0xc9, 0xbe, 0x18, 0x03, 0xcd, 0xef, 0x27, 0x0a, 0xd1, + 0xc9, 0x0e, 0x49, 0x01, 0x22, 0x73, 0xdb, 0x5f, 0x11, 0x75, 0x6d, 0xea, + 0x16, 0xda, 0x26, 0x7f, 0x3e, 0x7c, 0xcb, 0x62, 0xcf, 0xcc, 0x8d, 0xd6, + 0xea, 0xce, 0x26, 0x44, 0xa4, 0x74, 0x54, 0x4e, 0x2b, 0x15, 0xba, 0x9d, + 0xa1, 0x39, 0xe8, 0xfd, 0xe0, 0x29, 0xf0, 0xd7, 0xaa, 0x30, 0x6b, 0xd7, + 0x14, 0x3c, 0xa0, 0x04, 0xbc, 0xed, 0x82, 0xcb, 0xc9, 0xdb, 0x4f, 0x20, + 0x05, 0x6e, 0x45, 0x79, 0xdd, 0x5b, 0x3d, 0x5e, 0xee, 0xf1, 0xc3, 0xaa, + 0xb3, 0xd3, 0x3a, 0x47, 0xac, 0xe3, 0x12, 0xa1, 0xd5, 0xf4, 0x24, 0xe5, + 0x6c, 0xe4, 0x9f, 0xb4, 0xca, 0x96, 0x49, 0x51, 0x36, 0x3b, 0xa4, 0xa2, + 0xd6, 0x2e, 0x42, 0x23, 0x32, 0x8c, 0xc8, 0x83, 0xea, 0x14, 0xd1, 0x08, + 0x09, 0x8f, 0xdb, 0x4c, 0xc2, 0x00, 0x44, 0x06, 0x81, 0xd4, 0x11, 0x5d, + 0x2b, 0x1e, 0x37, 0x80, 0xaa, 0xb9, 0x88, 0xfa, 0xab, 0xd2, 0x76, 0x2e, + 0x03, 0xb8, 0x3b, 0x0b, 0xfc, 0x01, 0x96, 0xe3, 0x62, 0x00, 0x71, 0x13, + 0xe8, 0xfb, 0x78, 0xce, 0x39, 0x06, 0xa1, 0x44, 0xdd, 0x61, 0x6a, 0x56, + 0xb2, 0xcd, 0xcb, 0xec, 0x67, 0x24, 0x28, 0x7d, 0x39, 0x80, 0x37, 0xcb, + 0x95, 0x49, 0x96, 0xe9, 0x3f, 0xb7, 0x89, 0xeb, 0x11, 0x7c, 0x34, 0x49, + 0x36, 0x2c, 0xec, 0x82, 0xb6, 0x3c, 0xa9, 0x9a, 0xd3, 0xb8, 0xab, 0xb9, + 0x28, 0x2f, 0x97, 0x71, 0x04, 0xa8, 0x86, 0x2b, 0x43, 0xb6, 0x27, 0x51, + 0x8a, 0xe0, 0xa3, 0x98, 0xe7, 0x33, 0x32, 0xfe, 0x18, 0xb9, 0x38, 0x95, + 0x78, 0x17, 0xbe, 0x43, 0xa0, 0x08, 0x8b, 0x05, 0x8d, 0x56, 0xd7, 0x4e, + 0x61, 0x01, 0x00, 0x05, 0x12, 0x6d, 0x13, 0x95, 0xea, 0xce, 0xdc, 0xbf, + 0xc4, 0x74, 0x20, 0x89, 0x28, 0x05, 0xd2, 0x97, 0xc3, 0x35, 0x24, 0x6d, + 0x43, 0xdd, 0xe2, 0x9f, 0x15, 0x80, 0xee, 0xdd, 0xcd, 0x8a, 0x88, 0xc5, + 0x92, 0xda, 0x1d, 0xd9, 0xd0, 0xb8, 0xfd, 0x18, 0xcc, 0x58, 0x1b, 0xca, + 0x3b, 0xcc, 0x9e, 0xcd, 0x53, 0x61, 0x68, 0xf5, 0xbb, 0x2d, 0x02, 0x55, + 0x2b, 0x93, 0x9f, 0x18, 0x17, 0x20, 0xb1, 0x54, 0xe0, 0xfe, 0x3e, 0x6a, + 0x10, 0x7f, 0xee, 0x60, 0x7c, 0xcb, 0x14, 0x82, 0x68, 0xed, 0x08, 0x07, + 0xe7, 0x34, 0xad, 0x27, 0x6f, 0xda, 0x57, 0xe2, 0xa7, 0x4b, 0x7e, 0x7a, + 0x2e, 0x95, 0x88, 0x58, 0x3d, 0xe7, 0xdc, 0xa3, 0xf2, 0xe9, 0xf5, 0x95, + 0xfd, 0x1c, 0x5f, 0x9e, 0x5c, 0x0c, 0xe8, 0x36, 0xd5, 0x09, 0x35, 0x66, + 0x27, 0xb9, 0x13, 0x8a, 0x0e, 0xfa, 0xeb, 0xa6, 0x5b, 0xd6, 0x07, 0x4d, + 0xcf, 0x0d, 0x90, 0x71, 0xa1, 0xe5, 0x58, 0x1e, 0x27, 0x69, 0x64, 0x18, + 0x22, 0x07, 0x8a, 0x2a, 0xe9, 0x08, 0x00, 0x02, 0x8a, 0x58, 0x38, 0x81, + 0x05, 0xd8, 0xe7, 0x5d, 0x3d, 0xe8, 0x2b, 0x17, 0xfa, 0x29, 0x5c, 0xeb, + 0x93, 0x0c, 0x0f, 0x29, 0x68, 0x21, 0x93, 0x62, 0xf2, 0xe1, 0x44, 0x38, + 0x69, 0x21, 0x57, 0x86, 0x71, 0x6b, 0x3d, 0x12, 0x4e, 0x28, 0xdb, 0x0b, + 0xd4, 0x2c, 0xc5, 0xe8, 0x5f, 0x9b, 0xd2, 0x26, 0x08, 0x45, 0xa4, 0xb2, + 0xb1, 0x5e, 0xd1, 0x18, 0x3e, 0x62, 0x8d, 0x77, 0xa0, 0x62, 0x07, 0x75, + 0x0c, 0x68, 0x7f, 0xab, 0xd2, 0x2c, 0xec, 0x8e, 0xa9, 0x6e, 0x37, 0x3d, + 0xdb, 0x33, 0x7a, 0x4a, 0xba, 0x86, 0x25, 0x50, 0x6a, 0x37, 0x1b, 0x9b, + 0x91, 0x1a, 0x5f, 0x93, 0x21, 0xea, 0x91, 0xdc, 0x64, 0xb6, 0x07, 0x44, + 0x34, 0x79, 0x6a, 0x6a, 0x42, 0x4e, 0xf3, 0xe2, 0xa2, 0x6b, 0xff, 0xcd, + 0xd7, 0xc5, 0x69, 0xb9, 0x81, 0x7d, 0x34, 0xb4, 0x5b, 0xb6, 0x83, 0xc3, + 0x6b, 0x9a, 0xe1, 0x2e, 0x5e, 0x34, 0x01, 0x21, 0xeb, 0x37, 0xcc, 0xc5, + 0x5f, 0x7f, 0xa0, 0xde, 0x0f, 0x79, 0xb7, 0xc3, 0x3b, 0x84, 0x7d, 0xe8, + 0x96, 0xfd, 0x32, 0x47, 0x78, 0x3e, 0x22, 0xc8, 0x98, 0xce, 0x7a, 0xef, + 0x1d, 0xa6, 0x09, 0x3a, 0xff, 0xf7, 0x68, 0xd9, 0xb8, 0xe9, 0x7e, 0x8a, + 0xec, 0x23, 0x01, 0x97}; + +#ifdef NSS_SOFTOKEN_DH_INCLUDE_SLOW +static const unsigned char subprime_weak_8192[] = { + 0xe2, 0x48, 0x2e, 0xe9, 0x45, 0x85, 0xe1, 0x01, 0x91, 0x3b, 0xd1, + 0x15, 0x16, 0xb4, 0xf5, 0x5b, 0x2c, 0xb4, 0xae, 0x42, 0x61, 0x7a, + 0xd9, 0x26, 0x39, 0x12, 0xd2, 0x46, 0xb3, 0x46, 0x9b, 0x5f}; +#endif + +static const unsigned char base_weak_8192[] = { + 0x78, 0x4d, 0x5d, 0xa1, 0xce, 0x9d, 0x68, 0xae, 0x47, 0x31, 0x81, 0x08, + 0x8c, 0x24, 0x38, 0x6a, 0xc8, 0xc7, 0xf4, 0x1c, 0xa1, 0xcb, 0x5d, 0x65, + 0x04, 0x6e, 0x0d, 0xbe, 0x55, 0x1d, 0x25, 0xc2, 0xca, 0x74, 0x99, 0x66, + 0x67, 0x75, 0x00, 0xd6, 0x12, 0x90, 0x7f, 0x44, 0x56, 0x40, 0x98, 0x23, + 0x30, 0x87, 0x7b, 0x02, 0x86, 0xc1, 0xb3, 0x1b, 0x83, 0x82, 0xdb, 0x5b, + 0xa6, 0x72, 0x90, 0x77, 0xf9, 0x63, 0x9d, 0xb4, 0xe0, 0x83, 0x5e, 0x04, + 0x1d, 0x7b, 0x25, 0x68, 0x67, 0xa4, 0xb2, 0x4e, 0x5a, 0xde, 0x1f, 0x48, + 0x01, 0x10, 0xde, 0xde, 0xa9, 0xc3, 0x14, 0xc5, 0x9c, 0xda, 0xbe, 0xd9, + 0x19, 0x91, 0x43, 0x4a, 0xaa, 0x77, 0xcc, 0xbb, 0xe0, 0xe7, 0x71, 0xa9, + 0xa2, 0x73, 0x4f, 0xf6, 0x88, 0xe0, 0xc6, 0x5d, 0x1a, 0xc9, 0x80, 0x6b, + 0x47, 0x98, 0x76, 0xb4, 0x6c, 0xfe, 0xc8, 0xdf, 0x65, 0x42, 0x3d, 0x11, + 0x60, 0x09, 0x32, 0xb3, 0x35, 0xc4, 0x97, 0x4c, 0xae, 0xd3, 0x3a, 0x0c, + 0x2b, 0x44, 0xe6, 0x21, 0x01, 0xf3, 0xbf, 0x3d, 0xb7, 0x18, 0x31, 0x28, + 0x88, 0x9e, 0xad, 0x06, 0xc4, 0xb8, 0x0a, 0x26, 0x09, 0xff, 0xe7, 0xf4, + 0xab, 0xd9, 0x28, 0x94, 0x02, 0xe6, 0x58, 0x65, 0xf4, 0x47, 0x3f, 0x4c, + 0x9e, 0xd8, 0x68, 0xed, 0x65, 0x39, 0x5b, 0x04, 0x6a, 0x1d, 0x21, 0xba, + 0xef, 0xbd, 0xdc, 0x15, 0x69, 0xb2, 0x24, 0x6c, 0x23, 0x98, 0xdd, 0x22, + 0xa0, 0x90, 0x48, 0xc1, 0xcc, 0xc6, 0xb4, 0xc9, 0x19, 0x8c, 0x23, 0x89, + 0x0b, 0x3b, 0x66, 0x0f, 0xfb, 0x45, 0xe6, 0x05, 0x7d, 0x57, 0xd3, 0x58, + 0x6c, 0xe5, 0x36, 0xaa, 0x05, 0xcf, 0xa6, 0x2d, 0x5a, 0x40, 0x96, 0x12, + 0x1e, 0xea, 0x34, 0x11, 0x94, 0x76, 0x47, 0xc8, 0x87, 0x3d, 0xb9, 0xe8, + 0x83, 0x6b, 0xfe, 0x83, 0xc6, 0xa3, 0x38, 0xe1, 0x06, 0xc3, 0xb0, 0xeb, + 0x53, 0x07, 0x75, 0x20, 0x60, 0xc2, 0xee, 0x1e, 0x95, 0xb4, 0xc1, 0xc5, + 0xe0, 0x1b, 0x47, 0xbb, 0xf9, 0x48, 0x6a, 0x68, 0x09, 0xab, 0xd2, 0x6e, + 0x29, 0x74, 0xed, 0x61, 0x0e, 0x12, 0xe2, 0x89, 0x15, 0x4f, 0xe2, 0xa1, + 0x50, 0xbd, 0x81, 0x49, 0xf0, 0xc4, 0x17, 0xe5, 0xb3, 0x35, 0x0b, 0xfa, + 0x59, 0x9f, 0x18, 0x84, 0xba, 0x74, 0xf2, 0xb8, 0x8f, 0xdf, 0x7c, 0x3e, + 0x36, 0x67, 0x84, 0xb7, 0x85, 0x50, 0x51, 0x64, 0x2a, 0xca, 0x8f, 0x6b, + 0xc8, 0xd1, 0x88, 0x0f, 0x64, 0x9a, 0x4a, 0xbd, 0x9b, 0x5f, 0x11, 0xd0, + 0x80, 0xba, 0x5d, 0x2e, 0x63, 0xc1, 0xe3, 0x58, 0xc1, 0xf3, 0xe3, 0x88, + 0xa7, 0xe6, 0xb2, 0x3c, 0xdf, 0x9d, 0xfa, 0xed, 0x5c, 0x6f, 0x86, 0x3b, + 0x25, 0x0f, 0x0e, 0xff, 0x0b, 0x88, 0x1c, 0xe9, 0xeb, 0xe5, 0x75, 0xee, + 0x50, 0xdf, 0x7c, 0xb0, 0xf2, 0x09, 0x78, 0x47, 0x60, 0x76, 0x3b, 0x44, + 0x5a, 0x9d, 0xf2, 0x5c, 0x68, 0xf9, 0x03, 0x88, 0x6a, 0x9f, 0x6a, 0x73, + 0x85, 0xc9, 0xe7, 0x5e, 0xbf, 0xac, 0x9e, 0x7a, 0x13, 0x53, 0x40, 0x65, + 0x65, 0x41, 0x02, 0x38, 0x5e, 0x05, 0xac, 0xbc, 0xc5, 0xff, 0xc5, 0x35, + 0x6c, 0x2b, 0x76, 0xac, 0xc5, 0xcc, 0x1e, 0x28, 0x53, 0x88, 0xab, 0x58, + 0x36, 0x7a, 0x99, 0xeb, 0x68, 0x7a, 0xdc, 0xd5, 0xc5, 0xaf, 0x84, 0xad, + 0x43, 0x0b, 0x3f, 0x3c, 0xbf, 0x87, 0x33, 0x45, 0xc6, 0x62, 0xf3, 0xac, + 0xff, 0x58, 0x82, 0x86, 0x9a, 0x3d, 0x05, 0xa0, 0xd2, 0xbb, 0x6d, 0x19, + 0x09, 0x09, 0x01, 0xeb, 0x8f, 0xd6, 0xf8, 0x13, 0xf6, 0x2f, 0xce, 0x0c, + 0x01, 0xe1, 0xcd, 0x56, 0xad, 0xf7, 0xd6, 0xe3, 0xf3, 0xfe, 0x5b, 0x61, + 0x40, 0x3d, 0x6b, 0x9b, 0xca, 0x44, 0xda, 0xac, 0xf5, 0xc0, 0x9f, 0xb5, + 0x23, 0x77, 0x70, 0x72, 0x83, 0xf4, 0xb8, 0x15, 0x66, 0x59, 0xc6, 0x72, + 0xea, 0xba, 0xa7, 0x1f, 0xd8, 0x27, 0xd3, 0x52, 0xdf, 0xec, 0x7c, 0x1d, + 0x3e, 0x60, 0x98, 0xb1, 0x30, 0xb8, 0x00, 0x37, 0x1a, 0x2d, 0xe9, 0xdb, + 0x62, 0x7f, 0xa9, 0x37, 0x9d, 0xf9, 0x82, 0x10, 0x98, 0xed, 0xc5, 0xc7, + 0xc7, 0xe6, 0x6e, 0xe8, 0x0f, 0xa8, 0x7e, 0xac, 0x30, 0xf8, 0x75, 0x95, + 0xc8, 0x56, 0x3b, 0xbb, 0x6f, 0x69, 0x48, 0x84, 0xb5, 0x4e, 0x8d, 0x68, + 0xdf, 0x2a, 0x1d, 0xf5, 0xd6, 0xd8, 0x00, 0x6f, 0x29, 0xea, 0x66, 0xb1, + 0xcb, 0xf3, 0xdb, 0x5e, 0x55, 0x9f, 0x13, 0x67, 0x22, 0xc3, 0x02, 0x74, + 0xc8, 0x69, 0x6b, 0xe5, 0x23, 0x83, 0x27, 0x20, 0x91, 0xda, 0xb3, 0x4a, + 0xe4, 0x92, 0xc9, 0x25, 0x76, 0x16, 0xf9, 0xfc, 0x74, 0xec, 0x95, 0xd9, + 0x61, 0x5f, 0x03, 0xac, 0x94, 0x2f, 0x4d, 0x00, 0xce, 0x97, 0xb7, 0x18, + 0x60, 0x10, 0x44, 0x1a, 0x48, 0xb2, 0x86, 0x02, 0x18, 0xac, 0x68, 0x61, + 0x73, 0x5e, 0x13, 0xd1, 0xd4, 0x66, 0x71, 0x8b, 0x1d, 0xbc, 0x08, 0xa2, + 0x45, 0xac, 0xe2, 0x06, 0xea, 0xe7, 0xb2, 0x8a, 0x27, 0x25, 0xb8, 0xa2, + 0xaf, 0x03, 0xc0, 0x0d, 0x90, 0x34, 0x90, 0x60, 0x55, 0x5f, 0x71, 0x94, + 0x8d, 0xfa, 0x5d, 0x91, 0x96, 0x3e, 0x7a, 0x2a, 0x4f, 0x50, 0x3f, 0x48, + 0xc2, 0x31, 0xd2, 0xa9, 0x29, 0x8a, 0x0a, 0x41, 0x50, 0xf2, 0x7d, 0x9b, + 0x52, 0xc9, 0xdf, 0x69, 0xfb, 0x6a, 0x1e, 0xee, 0xf2, 0x44, 0x3e, 0xe5, + 0x48, 0xad, 0x24, 0x3b, 0xac, 0xad, 0x62, 0x4f, 0xc8, 0x30, 0x1d, 0x7e, + 0x42, 0x4b, 0x52, 0x53, 0xca, 0x16, 0x27, 0x37, 0x76, 0x8f, 0x95, 0x7c, + 0xd1, 0xcd, 0x39, 0xac, 0x30, 0xc0, 0x1d, 0x15, 0xe4, 0x80, 0xc2, 0x43, + 0x6d, 0x77, 0x5d, 0x27, 0x4a, 0xad, 0xf4, 0x64, 0x56, 0xfd, 0x0b, 0x3a, + 0xaf, 0xb7, 0x63, 0x03, 0x44, 0x86, 0x4d, 0x72, 0x03, 0xd9, 0x91, 0xb9, + 0x06, 0xc0, 0x3f, 0x7a, 0xd7, 0xb6, 0x17, 0xd5, 0xb3, 0x2a, 0x13, 0x93, + 0x9d, 0x45, 0xfa, 0x70, 0xe7, 0x3a, 0xcd, 0x5e, 0xad, 0x7c, 0x70, 0x96, + 0x84, 0x91, 0xfd, 0x1c, 0x2b, 0xa2, 0x68, 0x7c, 0xc4, 0x8f, 0xa0, 0x2f, + 0x02, 0x6e, 0x4f, 0xd5, 0xe9, 0xb8, 0xbf, 0x52, 0x85, 0xd3, 0xdd, 0xbb, + 0x43, 0x73, 0x58, 0xd9, 0xa4, 0xb0, 0x08, 0x25, 0x16, 0xe3, 0x13, 0xc9, + 0x98, 0x26, 0x79, 0x91, 0xf8, 0x67, 0x2f, 0x05, 0x10, 0x8f, 0x03, 0xe5, + 0x26, 0x5c, 0xcb, 0x99, 0x97, 0xb7, 0xc9, 0x19, 0x4d, 0x4c, 0x9f, 0xc6, + 0xcc, 0x24, 0xfb, 0xe2, 0x83, 0x59, 0xbb, 0x9f, 0x25, 0x14, 0xf0, 0x92, + 0x3a, 0xcc, 0xc7, 0xcf, 0x66, 0xea, 0x43, 0x48, 0x8a, 0x23, 0xcb, 0xec, + 0xf5, 0x60, 0x7e, 0x81, 0x72, 0x94, 0x44, 0xfd, 0x33, 0x38, 0xfc, 0xbd, + 0xcf, 0x91, 0xe7, 0x22, 0x19, 0x8f, 0x1e, 0x0a, 0x8c, 0x08, 0x8c, 0xf1, + 0x39, 0x7d, 0xd4, 0xf1, 0xb3, 0xa0, 0x9d, 0xae, 0x9e, 0x8e, 0x24, 0xd7, + 0x37, 0x39, 0x9b, 0x93, 0xd7, 0x89, 0x1c, 0x04, 0x1b, 0x3e, 0x84, 0x5d, + 0xc6, 0x75, 0x36, 0x64, 0x08, 0x06, 0x0d, 0xdd, 0x83, 0x8c, 0xf4, 0xc4, + 0xe1, 0x11, 0xe1, 0x14, 0x49, 0xb1, 0x32, 0xce, 0x6a, 0x6c, 0x39, 0x0d, + 0xf9, 0x35, 0x1b, 0x95, 0x4b, 0xe1, 0x65, 0x0c, 0xa6, 0xac, 0x69, 0x27, + 0x98, 0xfa, 0x34, 0xf1, 0x30, 0x35, 0xb6, 0xe4, 0xc4, 0x55, 0x2d, 0xa8, + 0x5c, 0xcb, 0x6c, 0xcd, 0x66, 0x65, 0xe2, 0x94, 0xb2, 0xb1, 0xf4, 0x52, + 0x75, 0xed, 0x32, 0x8c, 0x08, 0xa1, 0x86, 0x53, 0x01, 0x6f, 0x52, 0x78, + 0xda, 0x20, 0x6e, 0x6a}; +/* Calculated subprimes to verify primes are safe primes */ + +/* q=(p-1)/2 for prime prime_ike_1536 */ +static const unsigned char sub2_prime_ike_1536[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x11, 0xb9, 0x93, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_ike_2048 */ +static const unsigned char sub2_prime_ike_2048[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d, + 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1, + 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64, + 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe, + 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88, + 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x56, 0x55, 0x34, 0x7f, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_tls_2048 */ +static const unsigned char sub2_prime_tls_2048[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c, + 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78, + 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20, + 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c, + 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01, + 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0, + 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa, + 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a, + 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed, + 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a, + 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1, + 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd, + 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51, + 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c, + 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70, + 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0, + 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19, + 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9, + 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1, + 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd, + 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x94, 0x2e, 0x4b, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_ike_3072 */ +static const unsigned char sub2_prime_ike_3072[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d, + 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1, + 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64, + 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe, + 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88, + 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x55, 0x62, 0x16, 0xd6, 0x99, 0x8b, 0x86, + 0x82, 0x28, 0x3d, 0x19, 0xd4, 0x2a, 0x90, 0xd5, 0xef, 0x8e, 0x5d, 0x32, + 0x76, 0x7d, 0xc2, 0x82, 0x2c, 0x6d, 0xf7, 0x85, 0x45, 0x75, 0x38, 0xab, + 0xae, 0x83, 0x06, 0x3e, 0xd9, 0xcb, 0x87, 0xc2, 0xd3, 0x70, 0xf2, 0x63, + 0xd5, 0xfa, 0xd7, 0x46, 0x6d, 0x84, 0x99, 0xeb, 0x8f, 0x46, 0x4a, 0x70, + 0x25, 0x12, 0xb0, 0xce, 0xe7, 0x71, 0xe9, 0x13, 0x0d, 0x69, 0x77, 0x35, + 0xf8, 0x97, 0xfd, 0x03, 0x6c, 0xc5, 0x04, 0x32, 0x6c, 0x3b, 0x01, 0x39, + 0x9f, 0x64, 0x35, 0x32, 0x29, 0x0f, 0x95, 0x8c, 0x0b, 0xbd, 0x90, 0x06, + 0x5d, 0xf0, 0x8b, 0xab, 0xbd, 0x30, 0xae, 0xb6, 0x3b, 0x84, 0xc4, 0x60, + 0x5d, 0x6c, 0xa3, 0x71, 0x04, 0x71, 0x27, 0xd0, 0x3a, 0x72, 0xd5, 0x98, + 0xa1, 0xed, 0xad, 0xfe, 0x70, 0x7e, 0x88, 0x47, 0x25, 0xc1, 0x68, 0x90, + 0x54, 0x9d, 0x69, 0x65, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_tls_3072 */ +static const unsigned char sub2_prime_tls_3072[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c, + 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78, + 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20, + 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c, + 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01, + 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0, + 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa, + 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a, + 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed, + 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a, + 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1, + 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd, + 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51, + 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c, + 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70, + 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0, + 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19, + 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9, + 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1, + 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd, + 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x8f, 0xe7, 0xee, 0x6f, 0x1a, 0xad, 0x9d, + 0xb2, 0x8c, 0x81, 0xad, 0xde, 0x1a, 0x7a, 0x6f, 0x7c, 0xce, 0x01, 0x1c, + 0x30, 0xda, 0x37, 0xe4, 0xeb, 0x73, 0x64, 0x83, 0xbd, 0x6c, 0x8e, 0x93, + 0x48, 0xfb, 0xfb, 0xf7, 0x2c, 0xc6, 0x58, 0x7d, 0x60, 0xc3, 0x6c, 0x8e, + 0x57, 0x7f, 0x09, 0x84, 0xc2, 0x89, 0xc9, 0x38, 0x5a, 0x09, 0x86, 0x49, + 0xde, 0x21, 0xbc, 0xa2, 0x7a, 0x7e, 0xa2, 0x29, 0x71, 0x6b, 0xa6, 0xe9, + 0xb2, 0x79, 0x71, 0x0f, 0x38, 0xfa, 0xa5, 0xff, 0xae, 0x57, 0x41, 0x55, + 0xce, 0x4e, 0xfb, 0x4f, 0x74, 0x36, 0x95, 0xe2, 0x91, 0x1b, 0x1d, 0x06, + 0xd5, 0xe2, 0x90, 0xcb, 0xcd, 0x86, 0xf5, 0x6d, 0x0e, 0xdf, 0xcd, 0x21, + 0x6a, 0xe2, 0x24, 0x27, 0x05, 0x5e, 0x68, 0x35, 0xfd, 0x29, 0xee, 0xf7, + 0x9e, 0x0d, 0x90, 0x77, 0x1f, 0xea, 0xce, 0xbe, 0x12, 0xf2, 0x0e, 0x95, + 0xb3, 0x63, 0x17, 0x1b, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_ike_4096 */ +static const unsigned char sub2_prime_ike_4096[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d, + 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1, + 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64, + 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe, + 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88, + 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x55, 0x62, 0x16, 0xd6, 0x99, 0x8b, 0x86, + 0x82, 0x28, 0x3d, 0x19, 0xd4, 0x2a, 0x90, 0xd5, 0xef, 0x8e, 0x5d, 0x32, + 0x76, 0x7d, 0xc2, 0x82, 0x2c, 0x6d, 0xf7, 0x85, 0x45, 0x75, 0x38, 0xab, + 0xae, 0x83, 0x06, 0x3e, 0xd9, 0xcb, 0x87, 0xc2, 0xd3, 0x70, 0xf2, 0x63, + 0xd5, 0xfa, 0xd7, 0x46, 0x6d, 0x84, 0x99, 0xeb, 0x8f, 0x46, 0x4a, 0x70, + 0x25, 0x12, 0xb0, 0xce, 0xe7, 0x71, 0xe9, 0x13, 0x0d, 0x69, 0x77, 0x35, + 0xf8, 0x97, 0xfd, 0x03, 0x6c, 0xc5, 0x04, 0x32, 0x6c, 0x3b, 0x01, 0x39, + 0x9f, 0x64, 0x35, 0x32, 0x29, 0x0f, 0x95, 0x8c, 0x0b, 0xbd, 0x90, 0x06, + 0x5d, 0xf0, 0x8b, 0xab, 0xbd, 0x30, 0xae, 0xb6, 0x3b, 0x84, 0xc4, 0x60, + 0x5d, 0x6c, 0xa3, 0x71, 0x04, 0x71, 0x27, 0xd0, 0x3a, 0x72, 0xd5, 0x98, + 0xa1, 0xed, 0xad, 0xfe, 0x70, 0x7e, 0x88, 0x47, 0x25, 0xc1, 0x68, 0x90, + 0x54, 0x90, 0x84, 0x00, 0x8d, 0x39, 0x1e, 0x09, 0x53, 0xc3, 0xf3, 0x6b, + 0xc4, 0x38, 0xcd, 0x08, 0x5e, 0xdd, 0x2d, 0x93, 0x4c, 0xe1, 0x93, 0x8c, + 0x35, 0x7a, 0x71, 0x1e, 0x0d, 0x4a, 0x34, 0x1a, 0x5b, 0x0a, 0x85, 0xed, + 0x12, 0xc1, 0xf4, 0xe5, 0x15, 0x6a, 0x26, 0x74, 0x6d, 0xdd, 0xe1, 0x6d, + 0x82, 0x6f, 0x47, 0x7c, 0x97, 0x47, 0x7e, 0x0a, 0x0f, 0xdf, 0x65, 0x53, + 0x14, 0x3e, 0x2c, 0xa3, 0xa7, 0x35, 0xe0, 0x2e, 0xcc, 0xd9, 0x4b, 0x27, + 0xd0, 0x48, 0x61, 0xd1, 0x11, 0x9d, 0xd0, 0xc3, 0x28, 0xad, 0xf3, 0xf6, + 0x8f, 0xb0, 0x94, 0xb8, 0x67, 0x71, 0x6b, 0xd7, 0xdc, 0x0d, 0xee, 0xbb, + 0x10, 0xb8, 0x24, 0x0e, 0x68, 0x03, 0x48, 0x93, 0xea, 0xd8, 0x2d, 0x54, + 0xc9, 0xda, 0x75, 0x4c, 0x46, 0xc7, 0xee, 0xe0, 0xc3, 0x7f, 0xdb, 0xee, + 0x48, 0x53, 0x60, 0x47, 0xa6, 0xfa, 0x1a, 0xe4, 0x9a, 0x03, 0x18, 0xcc, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_tls_4096 */ +static const unsigned char sub2_prime_tls_4096[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c, + 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78, + 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20, + 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c, + 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01, + 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0, + 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa, + 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a, + 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed, + 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a, + 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1, + 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd, + 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51, + 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c, + 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70, + 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0, + 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19, + 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9, + 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1, + 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd, + 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x8f, 0xe7, 0xee, 0x6f, 0x1a, 0xad, 0x9d, + 0xb2, 0x8c, 0x81, 0xad, 0xde, 0x1a, 0x7a, 0x6f, 0x7c, 0xce, 0x01, 0x1c, + 0x30, 0xda, 0x37, 0xe4, 0xeb, 0x73, 0x64, 0x83, 0xbd, 0x6c, 0x8e, 0x93, + 0x48, 0xfb, 0xfb, 0xf7, 0x2c, 0xc6, 0x58, 0x7d, 0x60, 0xc3, 0x6c, 0x8e, + 0x57, 0x7f, 0x09, 0x84, 0xc2, 0x89, 0xc9, 0x38, 0x5a, 0x09, 0x86, 0x49, + 0xde, 0x21, 0xbc, 0xa2, 0x7a, 0x7e, 0xa2, 0x29, 0x71, 0x6b, 0xa6, 0xe9, + 0xb2, 0x79, 0x71, 0x0f, 0x38, 0xfa, 0xa5, 0xff, 0xae, 0x57, 0x41, 0x55, + 0xce, 0x4e, 0xfb, 0x4f, 0x74, 0x36, 0x95, 0xe2, 0x91, 0x1b, 0x1d, 0x06, + 0xd5, 0xe2, 0x90, 0xcb, 0xcd, 0x86, 0xf5, 0x6d, 0x0e, 0xdf, 0xcd, 0x21, + 0x6a, 0xe2, 0x24, 0x27, 0x05, 0x5e, 0x68, 0x35, 0xfd, 0x29, 0xee, 0xf7, + 0x9e, 0x0d, 0x90, 0x77, 0x1f, 0xea, 0xce, 0xbe, 0x12, 0xf2, 0x0e, 0x95, + 0xb3, 0x4f, 0x0f, 0x78, 0xb7, 0x37, 0xa9, 0x61, 0x8b, 0x26, 0xfa, 0x7d, + 0xbc, 0x98, 0x74, 0xf2, 0x72, 0xc4, 0x2b, 0xdb, 0x56, 0x3e, 0xaf, 0xa1, + 0x6b, 0x4f, 0xb6, 0x8c, 0x3b, 0xb1, 0xe7, 0x8e, 0xaa, 0x81, 0xa0, 0x02, + 0x43, 0xfa, 0xad, 0xd2, 0xbf, 0x18, 0xe6, 0x3d, 0x38, 0x9a, 0xe4, 0x43, + 0x77, 0xda, 0x18, 0xc5, 0x76, 0xb5, 0x0f, 0x00, 0x96, 0xcf, 0x34, 0x19, + 0x54, 0x83, 0xb0, 0x05, 0x48, 0xc0, 0x98, 0x62, 0x36, 0xe3, 0xbc, 0x7c, + 0xb8, 0xd6, 0x80, 0x1c, 0x04, 0x94, 0xcc, 0xd1, 0x99, 0xe5, 0xc5, 0xbd, + 0x0d, 0x0e, 0xdc, 0x9e, 0xb8, 0xa0, 0x00, 0x1e, 0x15, 0x27, 0x67, 0x54, + 0xfc, 0xc6, 0x85, 0x66, 0x05, 0x41, 0x48, 0xe6, 0xe7, 0x64, 0xbe, 0xe7, + 0xc7, 0x64, 0xda, 0xad, 0x3f, 0xc4, 0x52, 0x35, 0xa6, 0xda, 0xd4, 0x28, + 0xfa, 0x20, 0xc1, 0x70, 0xe3, 0x45, 0x00, 0x3f, 0x2f, 0x32, 0xaf, 0xb5, + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_ike_6144 */ +static const unsigned char sub2_prime_ike_6144[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d, + 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1, + 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64, + 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe, + 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88, + 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x55, 0x62, 0x16, 0xd6, 0x99, 0x8b, 0x86, + 0x82, 0x28, 0x3d, 0x19, 0xd4, 0x2a, 0x90, 0xd5, 0xef, 0x8e, 0x5d, 0x32, + 0x76, 0x7d, 0xc2, 0x82, 0x2c, 0x6d, 0xf7, 0x85, 0x45, 0x75, 0x38, 0xab, + 0xae, 0x83, 0x06, 0x3e, 0xd9, 0xcb, 0x87, 0xc2, 0xd3, 0x70, 0xf2, 0x63, + 0xd5, 0xfa, 0xd7, 0x46, 0x6d, 0x84, 0x99, 0xeb, 0x8f, 0x46, 0x4a, 0x70, + 0x25, 0x12, 0xb0, 0xce, 0xe7, 0x71, 0xe9, 0x13, 0x0d, 0x69, 0x77, 0x35, + 0xf8, 0x97, 0xfd, 0x03, 0x6c, 0xc5, 0x04, 0x32, 0x6c, 0x3b, 0x01, 0x39, + 0x9f, 0x64, 0x35, 0x32, 0x29, 0x0f, 0x95, 0x8c, 0x0b, 0xbd, 0x90, 0x06, + 0x5d, 0xf0, 0x8b, 0xab, 0xbd, 0x30, 0xae, 0xb6, 0x3b, 0x84, 0xc4, 0x60, + 0x5d, 0x6c, 0xa3, 0x71, 0x04, 0x71, 0x27, 0xd0, 0x3a, 0x72, 0xd5, 0x98, + 0xa1, 0xed, 0xad, 0xfe, 0x70, 0x7e, 0x88, 0x47, 0x25, 0xc1, 0x68, 0x90, + 0x54, 0x90, 0x84, 0x00, 0x8d, 0x39, 0x1e, 0x09, 0x53, 0xc3, 0xf3, 0x6b, + 0xc4, 0x38, 0xcd, 0x08, 0x5e, 0xdd, 0x2d, 0x93, 0x4c, 0xe1, 0x93, 0x8c, + 0x35, 0x7a, 0x71, 0x1e, 0x0d, 0x4a, 0x34, 0x1a, 0x5b, 0x0a, 0x85, 0xed, + 0x12, 0xc1, 0xf4, 0xe5, 0x15, 0x6a, 0x26, 0x74, 0x6d, 0xdd, 0xe1, 0x6d, + 0x82, 0x6f, 0x47, 0x7c, 0x97, 0x47, 0x7e, 0x0a, 0x0f, 0xdf, 0x65, 0x53, + 0x14, 0x3e, 0x2c, 0xa3, 0xa7, 0x35, 0xe0, 0x2e, 0xcc, 0xd9, 0x4b, 0x27, + 0xd0, 0x48, 0x61, 0xd1, 0x11, 0x9d, 0xd0, 0xc3, 0x28, 0xad, 0xf3, 0xf6, + 0x8f, 0xb0, 0x94, 0xb8, 0x67, 0x71, 0x6b, 0xd7, 0xdc, 0x0d, 0xee, 0xbb, + 0x10, 0xb8, 0x24, 0x0e, 0x68, 0x03, 0x48, 0x93, 0xea, 0xd8, 0x2d, 0x54, + 0xc9, 0xda, 0x75, 0x4c, 0x46, 0xc7, 0xee, 0xe0, 0xc3, 0x7f, 0xdb, 0xee, + 0x48, 0x53, 0x60, 0x47, 0xa6, 0xfa, 0x1a, 0xe4, 0x9a, 0x01, 0x42, 0x49, + 0x1b, 0x61, 0xfd, 0x5a, 0x69, 0x3e, 0x38, 0x13, 0x60, 0xea, 0x6e, 0x59, + 0x30, 0x13, 0x23, 0x6f, 0x64, 0xba, 0x8f, 0x3b, 0x1e, 0xdd, 0x1b, 0xde, + 0xfc, 0x7f, 0xca, 0x03, 0x56, 0xcf, 0x29, 0x87, 0x72, 0xed, 0x9c, 0x17, + 0xa0, 0x98, 0x00, 0xd7, 0x58, 0x35, 0x29, 0xf6, 0xc8, 0x13, 0xec, 0x18, + 0x8b, 0xcb, 0x93, 0xd8, 0x43, 0x2d, 0x44, 0x8c, 0x6d, 0x1f, 0x6d, 0xf5, + 0xe7, 0xcd, 0x8a, 0x76, 0xa2, 0x67, 0x36, 0x5d, 0x67, 0x6a, 0x5d, 0x8d, + 0xed, 0xbf, 0x8a, 0x23, 0xf3, 0x66, 0x12, 0xa5, 0x99, 0x90, 0x28, 0xa8, + 0x95, 0xeb, 0xd7, 0xa1, 0x37, 0xdc, 0x7a, 0x00, 0x9b, 0xc6, 0x69, 0x5f, + 0xac, 0xc1, 0xe5, 0x00, 0xe3, 0x25, 0xc9, 0x76, 0x78, 0x19, 0x75, 0x0a, + 0xe8, 0xb9, 0x0e, 0x81, 0xfa, 0x41, 0x6b, 0xe7, 0x37, 0x3a, 0x7f, 0x7b, + 0x6a, 0xaf, 0x38, 0x17, 0xa3, 0x4c, 0x06, 0x41, 0x5a, 0xd4, 0x20, 0x18, + 0xc8, 0x05, 0x8e, 0x4f, 0x2c, 0xf3, 0xe4, 0xbf, 0xdf, 0x63, 0xf4, 0x79, + 0x91, 0xd4, 0xbd, 0x3f, 0x1b, 0x66, 0x44, 0x5f, 0x07, 0x8e, 0xa2, 0xdb, + 0xff, 0xac, 0x2d, 0x62, 0xa5, 0xea, 0x03, 0xd9, 0x15, 0xa0, 0xaa, 0x55, + 0x66, 0x47, 0xb6, 0xbf, 0x5f, 0xa4, 0x70, 0xec, 0x0a, 0x66, 0x2f, 0x69, + 0x07, 0xc0, 0x1b, 0xf0, 0x53, 0xcb, 0x8a, 0xf7, 0x79, 0x4d, 0xf1, 0x94, + 0x03, 0x50, 0xea, 0xc5, 0xdb, 0xe2, 0xed, 0x3b, 0x7a, 0xa8, 0x55, 0x1e, + 0xc5, 0x0f, 0xdf, 0xf8, 0x75, 0x8c, 0xe6, 0x58, 0xd1, 0x89, 0xea, 0xae, + 0x6d, 0x2b, 0x64, 0xf6, 0x17, 0x79, 0x4b, 0x19, 0x1c, 0x3f, 0xf4, 0x6b, + 0xb7, 0x1e, 0x02, 0x34, 0x02, 0x1f, 0x47, 0xb3, 0x1f, 0xa4, 0x30, 0x77, + 0x09, 0x5f, 0x96, 0xad, 0x85, 0xba, 0x3a, 0x6b, 0x73, 0x4a, 0x7c, 0x8f, + 0x36, 0xe6, 0x20, 0x12, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_tls_6144 */ +static const unsigned char sub2_prime_tls_6144[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c, + 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78, + 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20, + 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c, + 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01, + 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0, + 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa, + 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a, + 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed, + 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a, + 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1, + 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd, + 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51, + 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c, + 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70, + 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0, + 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19, + 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9, + 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1, + 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd, + 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x8f, 0xe7, 0xee, 0x6f, 0x1a, 0xad, 0x9d, + 0xb2, 0x8c, 0x81, 0xad, 0xde, 0x1a, 0x7a, 0x6f, 0x7c, 0xce, 0x01, 0x1c, + 0x30, 0xda, 0x37, 0xe4, 0xeb, 0x73, 0x64, 0x83, 0xbd, 0x6c, 0x8e, 0x93, + 0x48, 0xfb, 0xfb, 0xf7, 0x2c, 0xc6, 0x58, 0x7d, 0x60, 0xc3, 0x6c, 0x8e, + 0x57, 0x7f, 0x09, 0x84, 0xc2, 0x89, 0xc9, 0x38, 0x5a, 0x09, 0x86, 0x49, + 0xde, 0x21, 0xbc, 0xa2, 0x7a, 0x7e, 0xa2, 0x29, 0x71, 0x6b, 0xa6, 0xe9, + 0xb2, 0x79, 0x71, 0x0f, 0x38, 0xfa, 0xa5, 0xff, 0xae, 0x57, 0x41, 0x55, + 0xce, 0x4e, 0xfb, 0x4f, 0x74, 0x36, 0x95, 0xe2, 0x91, 0x1b, 0x1d, 0x06, + 0xd5, 0xe2, 0x90, 0xcb, 0xcd, 0x86, 0xf5, 0x6d, 0x0e, 0xdf, 0xcd, 0x21, + 0x6a, 0xe2, 0x24, 0x27, 0x05, 0x5e, 0x68, 0x35, 0xfd, 0x29, 0xee, 0xf7, + 0x9e, 0x0d, 0x90, 0x77, 0x1f, 0xea, 0xce, 0xbe, 0x12, 0xf2, 0x0e, 0x95, + 0xb3, 0x4f, 0x0f, 0x78, 0xb7, 0x37, 0xa9, 0x61, 0x8b, 0x26, 0xfa, 0x7d, + 0xbc, 0x98, 0x74, 0xf2, 0x72, 0xc4, 0x2b, 0xdb, 0x56, 0x3e, 0xaf, 0xa1, + 0x6b, 0x4f, 0xb6, 0x8c, 0x3b, 0xb1, 0xe7, 0x8e, 0xaa, 0x81, 0xa0, 0x02, + 0x43, 0xfa, 0xad, 0xd2, 0xbf, 0x18, 0xe6, 0x3d, 0x38, 0x9a, 0xe4, 0x43, + 0x77, 0xda, 0x18, 0xc5, 0x76, 0xb5, 0x0f, 0x00, 0x96, 0xcf, 0x34, 0x19, + 0x54, 0x83, 0xb0, 0x05, 0x48, 0xc0, 0x98, 0x62, 0x36, 0xe3, 0xbc, 0x7c, + 0xb8, 0xd6, 0x80, 0x1c, 0x04, 0x94, 0xcc, 0xd1, 0x99, 0xe5, 0xc5, 0xbd, + 0x0d, 0x0e, 0xdc, 0x9e, 0xb8, 0xa0, 0x00, 0x1e, 0x15, 0x27, 0x67, 0x54, + 0xfc, 0xc6, 0x85, 0x66, 0x05, 0x41, 0x48, 0xe6, 0xe7, 0x64, 0xbe, 0xe7, + 0xc7, 0x64, 0xda, 0xad, 0x3f, 0xc4, 0x52, 0x35, 0xa6, 0xda, 0xd4, 0x28, + 0xfa, 0x20, 0xc1, 0x70, 0xe3, 0x45, 0x00, 0x3f, 0x2f, 0x06, 0xec, 0x81, + 0x05, 0xfe, 0xb2, 0x5b, 0x22, 0x81, 0xb6, 0x3d, 0x27, 0x33, 0xbe, 0x96, + 0x1c, 0x29, 0x95, 0x1d, 0x11, 0xdd, 0x22, 0x21, 0x65, 0x7a, 0x9f, 0x53, + 0x1d, 0xda, 0x2a, 0x19, 0x4d, 0xbb, 0x12, 0x64, 0x48, 0xbd, 0xee, 0xb2, + 0x58, 0xe0, 0x7e, 0xa6, 0x59, 0xc7, 0x46, 0x19, 0xa6, 0x38, 0x0e, 0x1d, + 0x66, 0xd6, 0x83, 0x2b, 0xfe, 0x67, 0xf6, 0x38, 0xcd, 0x8f, 0xae, 0x1f, + 0x27, 0x23, 0x02, 0x0f, 0x9c, 0x40, 0xa3, 0xfd, 0xa6, 0x7e, 0xda, 0x3b, + 0xd2, 0x92, 0x38, 0xfb, 0xd4, 0xd4, 0xb4, 0x88, 0x5c, 0x2a, 0x99, 0x17, + 0x6d, 0xb1, 0xa0, 0x6c, 0x50, 0x07, 0x78, 0x49, 0x1a, 0x82, 0x88, 0xf1, + 0x85, 0x5f, 0x60, 0xff, 0xfc, 0xf1, 0xd1, 0x37, 0x3f, 0xd9, 0x4f, 0xc6, + 0x0c, 0x18, 0x11, 0xe1, 0xac, 0x3f, 0x1c, 0x6d, 0x00, 0x3b, 0xec, 0xda, + 0x3b, 0x1f, 0x27, 0x25, 0xca, 0x59, 0x5d, 0xe0, 0xca, 0x63, 0x32, 0x8f, + 0x3b, 0xe5, 0x7c, 0xc9, 0x77, 0x55, 0x60, 0x11, 0x95, 0x14, 0x0d, 0xfb, + 0x59, 0xd3, 0x9c, 0xe0, 0x91, 0x30, 0x8b, 0x41, 0x05, 0x74, 0x6d, 0xac, + 0x23, 0xd3, 0x3e, 0x5f, 0x7c, 0xe4, 0x84, 0x8d, 0xa3, 0x16, 0xa9, 0xc6, + 0x6b, 0x95, 0x81, 0xba, 0x35, 0x73, 0xbf, 0xaf, 0x31, 0x14, 0x96, 0x18, + 0x8a, 0xb1, 0x54, 0x23, 0x28, 0x2e, 0xe4, 0x16, 0xdc, 0x2a, 0x19, 0xc5, + 0x72, 0x4f, 0xa9, 0x1a, 0xe4, 0xad, 0xc8, 0x8b, 0xc6, 0x67, 0x96, 0xea, + 0xe5, 0x67, 0x7a, 0x01, 0xf6, 0x4e, 0x8c, 0x08, 0x63, 0x13, 0x95, 0x82, + 0x2d, 0x9d, 0xb8, 0xfc, 0xee, 0x35, 0xc0, 0x6b, 0x1f, 0xee, 0xa5, 0x47, + 0x4d, 0x6d, 0x8f, 0x34, 0xb1, 0x53, 0x4a, 0x93, 0x6a, 0x18, 0xb0, 0xe0, + 0xd2, 0x0e, 0xab, 0x86, 0xbc, 0x9c, 0x6d, 0x6a, 0x52, 0x07, 0x19, 0x4e, + 0x68, 0x72, 0x07, 0x32, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_ike_8192 */ +static const unsigned char sub2_prime_ike_8192[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d, + 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1, + 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64, + 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe, + 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88, + 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x55, 0x62, 0x16, 0xd6, 0x99, 0x8b, 0x86, + 0x82, 0x28, 0x3d, 0x19, 0xd4, 0x2a, 0x90, 0xd5, 0xef, 0x8e, 0x5d, 0x32, + 0x76, 0x7d, 0xc2, 0x82, 0x2c, 0x6d, 0xf7, 0x85, 0x45, 0x75, 0x38, 0xab, + 0xae, 0x83, 0x06, 0x3e, 0xd9, 0xcb, 0x87, 0xc2, 0xd3, 0x70, 0xf2, 0x63, + 0xd5, 0xfa, 0xd7, 0x46, 0x6d, 0x84, 0x99, 0xeb, 0x8f, 0x46, 0x4a, 0x70, + 0x25, 0x12, 0xb0, 0xce, 0xe7, 0x71, 0xe9, 0x13, 0x0d, 0x69, 0x77, 0x35, + 0xf8, 0x97, 0xfd, 0x03, 0x6c, 0xc5, 0x04, 0x32, 0x6c, 0x3b, 0x01, 0x39, + 0x9f, 0x64, 0x35, 0x32, 0x29, 0x0f, 0x95, 0x8c, 0x0b, 0xbd, 0x90, 0x06, + 0x5d, 0xf0, 0x8b, 0xab, 0xbd, 0x30, 0xae, 0xb6, 0x3b, 0x84, 0xc4, 0x60, + 0x5d, 0x6c, 0xa3, 0x71, 0x04, 0x71, 0x27, 0xd0, 0x3a, 0x72, 0xd5, 0x98, + 0xa1, 0xed, 0xad, 0xfe, 0x70, 0x7e, 0x88, 0x47, 0x25, 0xc1, 0x68, 0x90, + 0x54, 0x90, 0x84, 0x00, 0x8d, 0x39, 0x1e, 0x09, 0x53, 0xc3, 0xf3, 0x6b, + 0xc4, 0x38, 0xcd, 0x08, 0x5e, 0xdd, 0x2d, 0x93, 0x4c, 0xe1, 0x93, 0x8c, + 0x35, 0x7a, 0x71, 0x1e, 0x0d, 0x4a, 0x34, 0x1a, 0x5b, 0x0a, 0x85, 0xed, + 0x12, 0xc1, 0xf4, 0xe5, 0x15, 0x6a, 0x26, 0x74, 0x6d, 0xdd, 0xe1, 0x6d, + 0x82, 0x6f, 0x47, 0x7c, 0x97, 0x47, 0x7e, 0x0a, 0x0f, 0xdf, 0x65, 0x53, + 0x14, 0x3e, 0x2c, 0xa3, 0xa7, 0x35, 0xe0, 0x2e, 0xcc, 0xd9, 0x4b, 0x27, + 0xd0, 0x48, 0x61, 0xd1, 0x11, 0x9d, 0xd0, 0xc3, 0x28, 0xad, 0xf3, 0xf6, + 0x8f, 0xb0, 0x94, 0xb8, 0x67, 0x71, 0x6b, 0xd7, 0xdc, 0x0d, 0xee, 0xbb, + 0x10, 0xb8, 0x24, 0x0e, 0x68, 0x03, 0x48, 0x93, 0xea, 0xd8, 0x2d, 0x54, + 0xc9, 0xda, 0x75, 0x4c, 0x46, 0xc7, 0xee, 0xe0, 0xc3, 0x7f, 0xdb, 0xee, + 0x48, 0x53, 0x60, 0x47, 0xa6, 0xfa, 0x1a, 0xe4, 0x9a, 0x01, 0x42, 0x49, + 0x1b, 0x61, 0xfd, 0x5a, 0x69, 0x3e, 0x38, 0x13, 0x60, 0xea, 0x6e, 0x59, + 0x30, 0x13, 0x23, 0x6f, 0x64, 0xba, 0x8f, 0x3b, 0x1e, 0xdd, 0x1b, 0xde, + 0xfc, 0x7f, 0xca, 0x03, 0x56, 0xcf, 0x29, 0x87, 0x72, 0xed, 0x9c, 0x17, + 0xa0, 0x98, 0x00, 0xd7, 0x58, 0x35, 0x29, 0xf6, 0xc8, 0x13, 0xec, 0x18, + 0x8b, 0xcb, 0x93, 0xd8, 0x43, 0x2d, 0x44, 0x8c, 0x6d, 0x1f, 0x6d, 0xf5, + 0xe7, 0xcd, 0x8a, 0x76, 0xa2, 0x67, 0x36, 0x5d, 0x67, 0x6a, 0x5d, 0x8d, + 0xed, 0xbf, 0x8a, 0x23, 0xf3, 0x66, 0x12, 0xa5, 0x99, 0x90, 0x28, 0xa8, + 0x95, 0xeb, 0xd7, 0xa1, 0x37, 0xdc, 0x7a, 0x00, 0x9b, 0xc6, 0x69, 0x5f, + 0xac, 0xc1, 0xe5, 0x00, 0xe3, 0x25, 0xc9, 0x76, 0x78, 0x19, 0x75, 0x0a, + 0xe8, 0xb9, 0x0e, 0x81, 0xfa, 0x41, 0x6b, 0xe7, 0x37, 0x3a, 0x7f, 0x7b, + 0x6a, 0xaf, 0x38, 0x17, 0xa3, 0x4c, 0x06, 0x41, 0x5a, 0xd4, 0x20, 0x18, + 0xc8, 0x05, 0x8e, 0x4f, 0x2c, 0xf3, 0xe4, 0xbf, 0xdf, 0x63, 0xf4, 0x79, + 0x91, 0xd4, 0xbd, 0x3f, 0x1b, 0x66, 0x44, 0x5f, 0x07, 0x8e, 0xa2, 0xdb, + 0xff, 0xac, 0x2d, 0x62, 0xa5, 0xea, 0x03, 0xd9, 0x15, 0xa0, 0xaa, 0x55, + 0x66, 0x47, 0xb6, 0xbf, 0x5f, 0xa4, 0x70, 0xec, 0x0a, 0x66, 0x2f, 0x69, + 0x07, 0xc0, 0x1b, 0xf0, 0x53, 0xcb, 0x8a, 0xf7, 0x79, 0x4d, 0xf1, 0x94, + 0x03, 0x50, 0xea, 0xc5, 0xdb, 0xe2, 0xed, 0x3b, 0x7a, 0xa8, 0x55, 0x1e, + 0xc5, 0x0f, 0xdf, 0xf8, 0x75, 0x8c, 0xe6, 0x58, 0xd1, 0x89, 0xea, 0xae, + 0x6d, 0x2b, 0x64, 0xf6, 0x17, 0x79, 0x4b, 0x19, 0x1c, 0x3f, 0xf4, 0x6b, + 0xb7, 0x1e, 0x02, 0x34, 0x02, 0x1f, 0x47, 0xb3, 0x1f, 0xa4, 0x30, 0x77, + 0x09, 0x5f, 0x96, 0xad, 0x85, 0xba, 0x3a, 0x6b, 0x73, 0x4a, 0x7c, 0x8f, + 0x36, 0xdf, 0x08, 0xac, 0xba, 0x51, 0xc9, 0x37, 0x89, 0x7f, 0x72, 0xf2, + 0x1c, 0x3b, 0xbe, 0x5b, 0x54, 0x99, 0x6f, 0xc6, 0x6c, 0x5f, 0x62, 0x68, + 0x39, 0xdc, 0x98, 0xdd, 0x1d, 0xe4, 0x19, 0x5b, 0x46, 0xce, 0xe9, 0x80, + 0x3a, 0x0f, 0xd3, 0xdf, 0xc5, 0x7e, 0x23, 0xf6, 0x92, 0xbb, 0x7b, 0x49, + 0xb5, 0xd2, 0x12, 0x33, 0x1d, 0x55, 0xb1, 0xce, 0x2d, 0x72, 0x7a, 0xb4, + 0x1a, 0x11, 0xda, 0x3a, 0x15, 0xf8, 0xe4, 0xbc, 0x11, 0xc7, 0x8b, 0x65, + 0xf1, 0xce, 0xb2, 0x96, 0xf1, 0xfe, 0xdc, 0x5f, 0x7e, 0x42, 0x45, 0x6c, + 0x91, 0x11, 0x17, 0x02, 0x52, 0x01, 0xbe, 0x03, 0x89, 0xf5, 0xab, 0xd4, + 0x0d, 0x11, 0xf8, 0x63, 0x9a, 0x39, 0xfe, 0x32, 0x36, 0x75, 0x18, 0x35, + 0xa5, 0xe5, 0xe4, 0x43, 0x17, 0xc1, 0xc2, 0xee, 0xfd, 0x4e, 0xa5, 0xbf, + 0xd1, 0x60, 0x43, 0xf4, 0x3c, 0xb4, 0x19, 0x81, 0xf6, 0xad, 0xee, 0x9d, + 0x03, 0x15, 0x9e, 0x7a, 0xd9, 0xd1, 0x3c, 0x53, 0x36, 0x95, 0x09, 0xfc, + 0x1f, 0xa2, 0x7c, 0x16, 0xef, 0x98, 0x87, 0x70, 0x3a, 0x55, 0xb5, 0x1b, + 0x22, 0xcb, 0xf4, 0x4c, 0xd0, 0x12, 0xae, 0xe0, 0xb2, 0x79, 0x8e, 0x62, + 0x84, 0x23, 0x42, 0x8e, 0xfc, 0xd5, 0xa4, 0x0c, 0xae, 0xf6, 0xbf, 0x50, + 0xd8, 0xea, 0x88, 0x5e, 0xbf, 0x73, 0xa6, 0xb9, 0xfd, 0x79, 0xb5, 0xe1, + 0x8f, 0x67, 0xd1, 0x34, 0x1a, 0xc8, 0x23, 0x7a, 0x75, 0xc3, 0xcf, 0xc9, + 0x20, 0x04, 0xa1, 0xc5, 0xa4, 0x0e, 0x36, 0x6b, 0xc4, 0x4d, 0x00, 0x17, + 0x6a, 0xf7, 0x1c, 0x15, 0xe4, 0x8c, 0x86, 0xd3, 0x7e, 0x01, 0x37, 0x23, + 0xca, 0xac, 0x72, 0x23, 0xab, 0x3b, 0xf4, 0xd5, 0x4f, 0x18, 0x28, 0x71, + 0x3b, 0x2b, 0x4a, 0x6f, 0xe4, 0x0f, 0xab, 0x74, 0x40, 0x5c, 0xb7, 0x38, + 0xb0, 0x64, 0xc0, 0x6e, 0xcc, 0x76, 0xe9, 0xef, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_tls_8192 */ +static const unsigned char sub2_prime_tls_8192[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c, + 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78, + 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20, + 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c, + 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01, + 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0, + 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa, + 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a, + 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed, + 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a, + 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1, + 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd, + 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51, + 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c, + 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70, + 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0, + 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19, + 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9, + 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1, + 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd, + 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x8f, 0xe7, 0xee, 0x6f, 0x1a, 0xad, 0x9d, + 0xb2, 0x8c, 0x81, 0xad, 0xde, 0x1a, 0x7a, 0x6f, 0x7c, 0xce, 0x01, 0x1c, + 0x30, 0xda, 0x37, 0xe4, 0xeb, 0x73, 0x64, 0x83, 0xbd, 0x6c, 0x8e, 0x93, + 0x48, 0xfb, 0xfb, 0xf7, 0x2c, 0xc6, 0x58, 0x7d, 0x60, 0xc3, 0x6c, 0x8e, + 0x57, 0x7f, 0x09, 0x84, 0xc2, 0x89, 0xc9, 0x38, 0x5a, 0x09, 0x86, 0x49, + 0xde, 0x21, 0xbc, 0xa2, 0x7a, 0x7e, 0xa2, 0x29, 0x71, 0x6b, 0xa6, 0xe9, + 0xb2, 0x79, 0x71, 0x0f, 0x38, 0xfa, 0xa5, 0xff, 0xae, 0x57, 0x41, 0x55, + 0xce, 0x4e, 0xfb, 0x4f, 0x74, 0x36, 0x95, 0xe2, 0x91, 0x1b, 0x1d, 0x06, + 0xd5, 0xe2, 0x90, 0xcb, 0xcd, 0x86, 0xf5, 0x6d, 0x0e, 0xdf, 0xcd, 0x21, + 0x6a, 0xe2, 0x24, 0x27, 0x05, 0x5e, 0x68, 0x35, 0xfd, 0x29, 0xee, 0xf7, + 0x9e, 0x0d, 0x90, 0x77, 0x1f, 0xea, 0xce, 0xbe, 0x12, 0xf2, 0x0e, 0x95, + 0xb3, 0x4f, 0x0f, 0x78, 0xb7, 0x37, 0xa9, 0x61, 0x8b, 0x26, 0xfa, 0x7d, + 0xbc, 0x98, 0x74, 0xf2, 0x72, 0xc4, 0x2b, 0xdb, 0x56, 0x3e, 0xaf, 0xa1, + 0x6b, 0x4f, 0xb6, 0x8c, 0x3b, 0xb1, 0xe7, 0x8e, 0xaa, 0x81, 0xa0, 0x02, + 0x43, 0xfa, 0xad, 0xd2, 0xbf, 0x18, 0xe6, 0x3d, 0x38, 0x9a, 0xe4, 0x43, + 0x77, 0xda, 0x18, 0xc5, 0x76, 0xb5, 0x0f, 0x00, 0x96, 0xcf, 0x34, 0x19, + 0x54, 0x83, 0xb0, 0x05, 0x48, 0xc0, 0x98, 0x62, 0x36, 0xe3, 0xbc, 0x7c, + 0xb8, 0xd6, 0x80, 0x1c, 0x04, 0x94, 0xcc, 0xd1, 0x99, 0xe5, 0xc5, 0xbd, + 0x0d, 0x0e, 0xdc, 0x9e, 0xb8, 0xa0, 0x00, 0x1e, 0x15, 0x27, 0x67, 0x54, + 0xfc, 0xc6, 0x85, 0x66, 0x05, 0x41, 0x48, 0xe6, 0xe7, 0x64, 0xbe, 0xe7, + 0xc7, 0x64, 0xda, 0xad, 0x3f, 0xc4, 0x52, 0x35, 0xa6, 0xda, 0xd4, 0x28, + 0xfa, 0x20, 0xc1, 0x70, 0xe3, 0x45, 0x00, 0x3f, 0x2f, 0x06, 0xec, 0x81, + 0x05, 0xfe, 0xb2, 0x5b, 0x22, 0x81, 0xb6, 0x3d, 0x27, 0x33, 0xbe, 0x96, + 0x1c, 0x29, 0x95, 0x1d, 0x11, 0xdd, 0x22, 0x21, 0x65, 0x7a, 0x9f, 0x53, + 0x1d, 0xda, 0x2a, 0x19, 0x4d, 0xbb, 0x12, 0x64, 0x48, 0xbd, 0xee, 0xb2, + 0x58, 0xe0, 0x7e, 0xa6, 0x59, 0xc7, 0x46, 0x19, 0xa6, 0x38, 0x0e, 0x1d, + 0x66, 0xd6, 0x83, 0x2b, 0xfe, 0x67, 0xf6, 0x38, 0xcd, 0x8f, 0xae, 0x1f, + 0x27, 0x23, 0x02, 0x0f, 0x9c, 0x40, 0xa3, 0xfd, 0xa6, 0x7e, 0xda, 0x3b, + 0xd2, 0x92, 0x38, 0xfb, 0xd4, 0xd4, 0xb4, 0x88, 0x5c, 0x2a, 0x99, 0x17, + 0x6d, 0xb1, 0xa0, 0x6c, 0x50, 0x07, 0x78, 0x49, 0x1a, 0x82, 0x88, 0xf1, + 0x85, 0x5f, 0x60, 0xff, 0xfc, 0xf1, 0xd1, 0x37, 0x3f, 0xd9, 0x4f, 0xc6, + 0x0c, 0x18, 0x11, 0xe1, 0xac, 0x3f, 0x1c, 0x6d, 0x00, 0x3b, 0xec, 0xda, + 0x3b, 0x1f, 0x27, 0x25, 0xca, 0x59, 0x5d, 0xe0, 0xca, 0x63, 0x32, 0x8f, + 0x3b, 0xe5, 0x7c, 0xc9, 0x77, 0x55, 0x60, 0x11, 0x95, 0x14, 0x0d, 0xfb, + 0x59, 0xd3, 0x9c, 0xe0, 0x91, 0x30, 0x8b, 0x41, 0x05, 0x74, 0x6d, 0xac, + 0x23, 0xd3, 0x3e, 0x5f, 0x7c, 0xe4, 0x84, 0x8d, 0xa3, 0x16, 0xa9, 0xc6, + 0x6b, 0x95, 0x81, 0xba, 0x35, 0x73, 0xbf, 0xaf, 0x31, 0x14, 0x96, 0x18, + 0x8a, 0xb1, 0x54, 0x23, 0x28, 0x2e, 0xe4, 0x16, 0xdc, 0x2a, 0x19, 0xc5, + 0x72, 0x4f, 0xa9, 0x1a, 0xe4, 0xad, 0xc8, 0x8b, 0xc6, 0x67, 0x96, 0xea, + 0xe5, 0x67, 0x7a, 0x01, 0xf6, 0x4e, 0x8c, 0x08, 0x63, 0x13, 0x95, 0x82, + 0x2d, 0x9d, 0xb8, 0xfc, 0xee, 0x35, 0xc0, 0x6b, 0x1f, 0xee, 0xa5, 0x47, + 0x4d, 0x6d, 0x8f, 0x34, 0xb1, 0x53, 0x4a, 0x93, 0x6a, 0x18, 0xb0, 0xe0, + 0xd2, 0x0e, 0xab, 0x86, 0xbc, 0x9c, 0x6d, 0x6a, 0x52, 0x07, 0x19, 0x4e, + 0x67, 0xfa, 0x35, 0x55, 0x1b, 0x56, 0x80, 0x26, 0x7b, 0x00, 0x64, 0x1c, + 0x0f, 0x21, 0x2d, 0x18, 0xec, 0xa8, 0xd7, 0x32, 0x7e, 0xd9, 0x1f, 0xe7, + 0x64, 0xa8, 0x4e, 0xa1, 0xb4, 0x3f, 0xf5, 0xb4, 0xf6, 0xe8, 0xe6, 0x2f, + 0x05, 0xc6, 0x61, 0xde, 0xfb, 0x25, 0x88, 0x77, 0xc3, 0x5b, 0x18, 0xa1, + 0x51, 0xd5, 0xc4, 0x14, 0xaa, 0xad, 0x97, 0xba, 0x3e, 0x49, 0x93, 0x32, + 0xe5, 0x96, 0x07, 0x8e, 0x60, 0x0d, 0xeb, 0x81, 0x14, 0x9c, 0x44, 0x1c, + 0xe9, 0x57, 0x82, 0xf2, 0x2a, 0x28, 0x25, 0x63, 0xc5, 0xba, 0xc1, 0x41, + 0x14, 0x23, 0x60, 0x5d, 0x1a, 0xe1, 0xaf, 0xae, 0x2c, 0x8b, 0x06, 0x60, + 0x23, 0x7e, 0xc1, 0x28, 0xaa, 0x0f, 0xe3, 0x46, 0x4e, 0x43, 0x58, 0x11, + 0x5d, 0xb8, 0x4c, 0xc3, 0xb5, 0x23, 0x07, 0x3a, 0x28, 0xd4, 0x54, 0x98, + 0x84, 0xb8, 0x1f, 0xf7, 0x0e, 0x10, 0xbf, 0x36, 0x1c, 0x13, 0x72, 0x96, + 0x28, 0xd5, 0x34, 0x8f, 0x07, 0x21, 0x1e, 0x7e, 0x4c, 0xf4, 0xf1, 0x8b, + 0x28, 0x60, 0x90, 0xbd, 0xb1, 0x24, 0x0b, 0x66, 0xd6, 0xcd, 0x4a, 0xfc, + 0xea, 0xdc, 0x00, 0xca, 0x44, 0x6c, 0xe0, 0x50, 0x50, 0xff, 0x18, 0x3a, + 0xd2, 0xbb, 0xf1, 0x18, 0xc1, 0xfc, 0x0e, 0xa5, 0x1f, 0x97, 0xd2, 0x2b, + 0x8f, 0x7e, 0x46, 0x70, 0x5d, 0x45, 0x27, 0xf4, 0x5b, 0x42, 0xae, 0xff, + 0x39, 0x58, 0x53, 0x37, 0x6f, 0x69, 0x7d, 0xd5, 0xfd, 0xf2, 0xc5, 0x18, + 0x7d, 0x7d, 0x5f, 0x0e, 0x2e, 0xb8, 0xd4, 0x3f, 0x17, 0xba, 0x0f, 0x7c, + 0x60, 0xff, 0x43, 0x7f, 0x53, 0x5d, 0xfe, 0xf2, 0x98, 0x33, 0xbf, 0x86, + 0xcb, 0xe8, 0x8e, 0xa4, 0xfb, 0xd4, 0x22, 0x1e, 0x84, 0x11, 0x72, 0x83, + 0x54, 0xfa, 0x30, 0xa7, 0x00, 0x8f, 0x15, 0x4a, 0x41, 0xc7, 0xfc, 0x46, + 0x6b, 0x46, 0x45, 0xdb, 0xe2, 0xe3, 0x21, 0x26, 0x7f, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_safe_1536 */ +static const unsigned char sub2_prime_safe_1536[] = { + 0x7b, 0xb3, 0x98, 0xe4, 0x22, 0xb5, 0x6c, 0xf5, 0x29, 0x85, 0x90, 0xe3, + 0xa5, 0x7d, 0x40, 0xb3, 0x3b, 0x2e, 0x75, 0x5b, 0xfa, 0x88, 0x99, 0x36, + 0xe9, 0xa6, 0x3d, 0x56, 0x1c, 0x8b, 0x8d, 0x43, 0xdc, 0x00, 0x6b, 0x88, + 0xe2, 0xfe, 0xf0, 0xf1, 0xb2, 0xa6, 0x0f, 0xa1, 0x12, 0x20, 0x8f, 0x49, + 0x21, 0x5f, 0xdb, 0x32, 0x87, 0x39, 0x41, 0xc5, 0x5c, 0x41, 0x53, 0x27, + 0xcf, 0x65, 0x27, 0xe8, 0xd8, 0x89, 0xe1, 0x7d, 0x33, 0xd0, 0xb5, 0x03, + 0x27, 0xd7, 0xb7, 0x0b, 0x6c, 0xca, 0x6c, 0x6d, 0x71, 0xb3, 0x31, 0x00, + 0x8f, 0xc1, 0x47, 0x88, 0x70, 0x17, 0x9e, 0x51, 0xa1, 0x54, 0x5d, 0xca, + 0x19, 0x3c, 0xbc, 0xbf, 0xcb, 0xfc, 0x1d, 0x18, 0xd5, 0x0a, 0x63, 0xff, + 0x09, 0xcb, 0x3b, 0x8a, 0xdf, 0xa3, 0x90, 0x2b, 0x88, 0xf0, 0x27, 0xed, + 0x3f, 0x54, 0x8c, 0xa4, 0xd0, 0xc6, 0x94, 0xbb, 0x45, 0x69, 0xcd, 0xd8, + 0x5f, 0x28, 0x61, 0x92, 0xc1, 0x7c, 0xf1, 0x90, 0xc6, 0x7e, 0xd3, 0x28, + 0xf2, 0x9b, 0x3f, 0x41, 0x5b, 0x48, 0x22, 0xf0, 0xea, 0xb9, 0x2b, 0x5f, + 0x62, 0xb3, 0x9e, 0x89, 0x8d, 0x1c, 0xbf, 0xcc, 0x19, 0xfe, 0x5a, 0x3d, + 0xd2, 0x1c, 0x38, 0xc3, 0xcb, 0x37, 0x73, 0x3d, 0xbb, 0xd9, 0x32, 0xfe, + 0xef, 0x93, 0xc9, 0x86, 0x1e, 0x30, 0x6f, 0xf2, 0x99, 0xff, 0x6b, 0xa5, +}; + +/* q=(p-1)/2 for prime prime_safe_2048 */ +static const unsigned char sub2_prime_safe_2048[] = { + 0x70, 0xd1, 0xb7, 0x24, 0xb4, 0x83, 0x8e, 0x2f, 0xda, 0x0a, 0x9a, 0xa3, + 0x4c, 0xa9, 0x68, 0x27, 0x7f, 0xa7, 0x26, 0x58, 0xf0, 0xac, 0xf6, 0x97, + 0x38, 0xf9, 0xc0, 0x0a, 0x2a, 0x68, 0x7e, 0x41, 0x90, 0x14, 0x8a, 0x90, + 0xd3, 0x2f, 0x88, 0x40, 0xab, 0xfa, 0x17, 0x24, 0xd9, 0x68, 0x9b, 0xf4, + 0x35, 0x5f, 0xb9, 0x7c, 0xaa, 0xa7, 0x4f, 0x57, 0x10, 0x62, 0xdb, 0x62, + 0xc8, 0xbc, 0x86, 0xd1, 0x6e, 0xda, 0x5d, 0xa8, 0x27, 0x10, 0x65, 0x45, + 0x47, 0xc1, 0x1a, 0x5c, 0xb5, 0x1f, 0x4d, 0x33, 0xe1, 0x3f, 0x41, 0xfb, + 0x60, 0x56, 0xf1, 0xe5, 0x00, 0x6b, 0x08, 0xc4, 0x4e, 0x63, 0xcf, 0xda, + 0x1e, 0xa9, 0xd2, 0xad, 0x4b, 0xa2, 0x26, 0xf3, 0xae, 0x6a, 0xbb, 0x40, + 0x7c, 0x06, 0x66, 0xd3, 0x2a, 0xf1, 0x2f, 0xe7, 0xfa, 0x23, 0x52, 0x63, + 0x87, 0xe0, 0xc0, 0x42, 0x32, 0xa3, 0x46, 0x43, 0xe9, 0x4c, 0xc1, 0x6f, + 0xc7, 0x00, 0x44, 0xf9, 0x86, 0xea, 0xe0, 0x2a, 0x4a, 0x63, 0x51, 0xc9, + 0x07, 0xc8, 0x88, 0x77, 0x51, 0xb2, 0xa2, 0x5b, 0xb6, 0xf4, 0x11, 0xfc, + 0xbf, 0xc8, 0xb1, 0x32, 0x84, 0xc7, 0x50, 0x99, 0xea, 0x6b, 0x2a, 0x85, + 0x60, 0x74, 0x33, 0x38, 0x02, 0xe8, 0x09, 0x1a, 0x60, 0xfe, 0xe7, 0x3a, + 0xd2, 0x3a, 0xf0, 0xa3, 0x50, 0x84, 0x5a, 0x29, 0x7f, 0x12, 0xd2, 0x62, + 0xa7, 0x91, 0x82, 0x3f, 0x50, 0x96, 0x79, 0xab, 0x65, 0xfd, 0x3d, 0x5e, + 0x22, 0xe6, 0x3c, 0x59, 0x94, 0x79, 0xf2, 0xea, 0x93, 0x2b, 0x13, 0xc3, + 0x35, 0x2b, 0x35, 0xc3, 0xab, 0x07, 0x62, 0x1e, 0x76, 0xff, 0xe5, 0xcb, + 0x5a, 0x09, 0x8e, 0xa6, 0x9c, 0x27, 0x34, 0x9a, 0x28, 0xbd, 0x42, 0x98, + 0xda, 0x40, 0x6d, 0x20, 0xf1, 0xee, 0x17, 0x29, 0xec, 0x38, 0x9f, 0x66, + 0x1b, 0xc5, 0x40, 0x19, +}; + +/* q=(p-1)/2 for prime prime_safe_3072 */ +static const unsigned char sub2_prime_safe_3072[] = { + 0x43, 0xb3, 0x6f, 0xfb, 0xf6, 0x24, 0xb5, 0x4d, 0x3e, 0x4b, 0x14, 0x57, + 0x33, 0x9c, 0x55, 0xfd, 0x7f, 0x2e, 0x23, 0x3d, 0xf7, 0xf4, 0x8c, 0x53, + 0x3b, 0x59, 0x72, 0x87, 0x5f, 0x5c, 0x79, 0x40, 0x1b, 0x04, 0xc1, 0x22, + 0x3d, 0xf4, 0x74, 0x66, 0x44, 0x93, 0xb4, 0x02, 0xf0, 0x70, 0x9b, 0xeb, + 0xdf, 0xed, 0x86, 0x7b, 0x24, 0x29, 0x0b, 0x9f, 0xba, 0xe2, 0xa7, 0x5a, + 0x1e, 0xfc, 0x26, 0x75, 0x5a, 0x05, 0x83, 0x02, 0x0a, 0xc4, 0xbe, 0x5d, + 0x79, 0xfa, 0xef, 0x33, 0x37, 0x3e, 0x98, 0x62, 0x10, 0x02, 0xed, 0x19, + 0x07, 0xff, 0xbc, 0xb8, 0xa2, 0x4d, 0x88, 0x07, 0xf8, 0xdd, 0x98, 0xef, + 0x33, 0xc8, 0x75, 0x3b, 0xd6, 0xb2, 0xeb, 0x82, 0xba, 0xd5, 0xb3, 0x79, + 0x73, 0x29, 0x56, 0x79, 0x55, 0x53, 0xe9, 0x22, 0xec, 0xe3, 0x21, 0x1c, + 0x93, 0x8f, 0xa3, 0x42, 0x56, 0xbc, 0x5a, 0x7d, 0x42, 0x7c, 0x4d, 0x9f, + 0x65, 0xe0, 0xcc, 0xf2, 0x9a, 0xa1, 0x13, 0x02, 0xf5, 0x56, 0x28, 0x82, + 0x27, 0xc5, 0x4c, 0x12, 0xd3, 0xa3, 0x55, 0xbd, 0xf6, 0xdc, 0x54, 0x85, + 0x92, 0x11, 0xc1, 0x91, 0x8b, 0x43, 0xb2, 0x48, 0x86, 0x5f, 0x8f, 0xde, + 0x76, 0x25, 0x6e, 0x89, 0x15, 0x86, 0x54, 0x9c, 0xcb, 0x62, 0x61, 0xe7, + 0xd2, 0x9c, 0x20, 0x06, 0xb7, 0x68, 0x7d, 0x05, 0x06, 0x1f, 0x74, 0xba, + 0x85, 0xb8, 0x14, 0x34, 0x5e, 0x7e, 0xfb, 0x61, 0x4d, 0x2c, 0xc8, 0x90, + 0x2e, 0x38, 0x7f, 0x18, 0xd3, 0x28, 0x43, 0xcd, 0x35, 0x30, 0x90, 0x16, + 0x3b, 0xc2, 0x40, 0xd4, 0x1f, 0x64, 0xd4, 0x39, 0x58, 0x29, 0xa1, 0xc2, + 0x8e, 0x4d, 0x9d, 0x6e, 0xf7, 0x84, 0xbe, 0xe3, 0xb4, 0x63, 0x77, 0x84, + 0x67, 0x23, 0xd0, 0x6e, 0x2d, 0xed, 0x97, 0x96, 0x9a, 0x71, 0xef, 0x4a, + 0xfb, 0x35, 0xb6, 0xae, 0xc8, 0xdf, 0x22, 0xf7, 0x16, 0x82, 0x49, 0xbc, + 0x63, 0xd2, 0x24, 0xe6, 0x38, 0xd4, 0x2e, 0xec, 0x45, 0x3f, 0x4f, 0x27, + 0x88, 0x64, 0xa0, 0xe8, 0xb1, 0x60, 0xb8, 0x24, 0x5a, 0x89, 0x08, 0x91, + 0xd3, 0x72, 0x6f, 0xb2, 0x56, 0x6c, 0xf2, 0x1b, 0xe1, 0x5c, 0x91, 0xd3, + 0xa0, 0x75, 0x3f, 0xaa, 0x71, 0xf7, 0xb8, 0xc0, 0xda, 0x73, 0x82, 0x88, + 0x6b, 0x15, 0xea, 0x88, 0xc2, 0x2d, 0x34, 0xd2, 0xd6, 0x29, 0x36, 0xd4, + 0x3c, 0x93, 0xff, 0x8e, 0x01, 0x68, 0xb1, 0x1b, 0x01, 0xd1, 0x54, 0xa3, + 0x36, 0x27, 0xe5, 0x2c, 0x79, 0x59, 0x76, 0xc8, 0xda, 0x4f, 0x2d, 0xee, + 0xfc, 0xcc, 0xdb, 0x46, 0xb8, 0x1a, 0x05, 0x62, 0xa6, 0xeb, 0xe7, 0x45, + 0xf8, 0xa8, 0x12, 0xc4, 0xff, 0xf3, 0xf9, 0x0f, 0x5c, 0x90, 0xd9, 0xc5, + 0xe4, 0x21, 0x3e, 0x13, 0x77, 0xa6, 0x18, 0x46, 0xb0, 0x5b, 0x92, 0xfd, +}; + +#ifdef NSS_SOFTOKEN_DH_INCLUDE_SLOW +/* q=(p-1)/2 for prime prime_safe_4096 */ +static const unsigned char sub2_prime_safe_4096[] = { + 0x45, 0xef, 0xe0, 0xd1, 0xf2, 0x5e, 0x8e, 0x58, 0xfa, 0x58, 0xa8, 0xe9, + 0xc5, 0x67, 0x1e, 0x99, 0xac, 0x40, 0x51, 0x8e, 0x3e, 0x06, 0xde, 0xc7, + 0x5e, 0xd9, 0xf3, 0xcf, 0x6a, 0x6f, 0x03, 0x7e, 0x4c, 0x57, 0x80, 0xa1, + 0xc9, 0x96, 0x7e, 0x7d, 0xc9, 0x40, 0x70, 0x37, 0x7c, 0xfb, 0x55, 0xb9, + 0xcb, 0x46, 0xbf, 0x60, 0x75, 0x93, 0x36, 0x06, 0x29, 0x83, 0x4f, 0x99, + 0x25, 0xd6, 0xa9, 0xea, 0xdf, 0xc8, 0x9a, 0x8b, 0x7e, 0xbf, 0xdd, 0x18, + 0x5b, 0x5a, 0x44, 0x08, 0x0f, 0xad, 0x60, 0x31, 0x7c, 0xbf, 0xb8, 0xcd, + 0xda, 0x88, 0x25, 0xcc, 0xe8, 0x78, 0x74, 0xe1, 0x77, 0x1a, 0x92, 0x75, + 0xe6, 0x77, 0x03, 0x5f, 0xd0, 0x02, 0xf2, 0x30, 0xd2, 0x53, 0x4c, 0x11, + 0xe8, 0x72, 0x45, 0x30, 0xe5, 0x02, 0xc5, 0x36, 0x4c, 0x7d, 0x41, 0xe1, + 0xa8, 0x3e, 0xaa, 0x9d, 0x97, 0x6a, 0xd6, 0x0a, 0x30, 0xc3, 0x68, 0xda, + 0xe7, 0xe0, 0x6e, 0x34, 0xa5, 0xb6, 0x25, 0x62, 0xeb, 0xff, 0x70, 0x74, + 0x0d, 0x32, 0x08, 0xed, 0xab, 0x78, 0x0e, 0x4a, 0xae, 0x68, 0xb5, 0x5c, + 0xfb, 0x71, 0x00, 0x7a, 0x11, 0x01, 0x81, 0x95, 0x5e, 0x4e, 0x41, 0x75, + 0xc4, 0x8d, 0x6e, 0xca, 0x32, 0x81, 0x22, 0x30, 0xbb, 0x60, 0xd7, 0x6c, + 0x65, 0x7e, 0xb3, 0x7a, 0x4b, 0x73, 0xbc, 0xff, 0x1d, 0x4c, 0x78, 0xc0, + 0x01, 0x7d, 0x21, 0x5b, 0xd7, 0x75, 0x9c, 0x94, 0x61, 0xdc, 0xe7, 0x46, + 0x38, 0xf5, 0x0a, 0x3a, 0x43, 0x36, 0x13, 0x6a, 0x8a, 0x90, 0xcb, 0x86, + 0x41, 0x46, 0xc0, 0xc2, 0x62, 0xa3, 0x88, 0x03, 0x33, 0xd4, 0x2f, 0xd8, + 0xe2, 0x99, 0x6e, 0x3f, 0xf3, 0x30, 0xf2, 0xf5, 0xcf, 0x54, 0xb0, 0xcc, + 0xa1, 0xd4, 0xc5, 0xf6, 0xd7, 0xf2, 0x10, 0xf7, 0xc7, 0x3c, 0x2d, 0x30, + 0xaa, 0xce, 0xa1, 0xed, 0xbb, 0xd5, 0x5d, 0x8c, 0xf5, 0x27, 0xa4, 0xa9, + 0xc0, 0x67, 0x3e, 0x4d, 0x75, 0x53, 0x49, 0xac, 0x6a, 0x55, 0xfa, 0x74, + 0xb0, 0x3e, 0xe5, 0x59, 0x4b, 0xd2, 0xf0, 0x49, 0x67, 0x76, 0x2b, 0xde, + 0x62, 0x82, 0xbb, 0x08, 0xbc, 0x81, 0xf0, 0xd9, 0x4c, 0xe0, 0x90, 0xea, + 0x42, 0xf3, 0xb7, 0xe4, 0xac, 0x74, 0x0e, 0x06, 0xe4, 0x48, 0x22, 0x26, + 0x2c, 0x2a, 0xcd, 0x77, 0x6f, 0x31, 0x07, 0x59, 0x71, 0xde, 0x75, 0xa8, + 0xa0, 0x02, 0xb8, 0xff, 0x5a, 0x74, 0xf3, 0x7b, 0x07, 0x6b, 0xdd, 0x8d, + 0xdc, 0x4c, 0xf4, 0x64, 0xed, 0x4f, 0xef, 0x1e, 0x09, 0xec, 0x8b, 0x22, + 0x9e, 0xd6, 0x71, 0x04, 0xe1, 0xc3, 0xdd, 0x9c, 0xc6, 0x37, 0x88, 0xb0, + 0x43, 0x8f, 0xd7, 0xd3, 0xee, 0x09, 0x47, 0xbe, 0xa6, 0x2f, 0x2b, 0x61, + 0xb1, 0x6e, 0xee, 0x81, 0xaa, 0xcf, 0x12, 0x36, 0x62, 0xb6, 0x5c, 0x07, + 0x57, 0x88, 0xea, 0x8f, 0x35, 0x1b, 0x4e, 0x65, 0x23, 0x1a, 0x09, 0x95, + 0xe8, 0xd1, 0x9a, 0x16, 0x41, 0x8d, 0x92, 0xe6, 0x0b, 0x80, 0xce, 0x34, + 0x29, 0xdb, 0xc3, 0xf6, 0x87, 0x24, 0x6b, 0xb4, 0xfc, 0xe4, 0x0e, 0xc5, + 0xb8, 0xfa, 0x37, 0xe8, 0xd8, 0xea, 0xb8, 0x50, 0x6b, 0xb8, 0x9e, 0xcf, + 0xfe, 0x7d, 0x1a, 0xb4, 0x92, 0xf9, 0x9c, 0xbc, 0xd6, 0xbd, 0x80, 0xe2, + 0xb3, 0x52, 0xf8, 0x63, 0x8e, 0x5b, 0x28, 0xf2, 0x81, 0x15, 0xe7, 0xe0, + 0x95, 0x48, 0xce, 0xd2, 0xdf, 0x9b, 0x9b, 0xee, 0x97, 0x18, 0x20, 0x6d, + 0xdf, 0xf6, 0x7f, 0x36, 0x16, 0x74, 0x90, 0x77, 0x44, 0xd6, 0x2a, 0xd7, + 0x81, 0xad, 0x5d, 0x2d, 0x29, 0x7d, 0xdf, 0xda, 0xd7, 0x1c, 0x10, 0x52, + 0xb4, 0x49, 0x2f, 0xf6, 0x0b, 0xd4, 0xc0, 0x29, 0xf9, 0x1d, 0x86, 0x04, + 0xf9, 0xf5, 0x8a, 0xb1, 0x47, 0x1c, 0xbd, 0xb5, +}; + +/* q=(p-1)/2 for prime prime_safe_6144 */ +static const unsigned char sub2_prime_safe_6144[] = { + 0x5c, 0x87, 0xe0, 0xa0, 0xa5, 0x6f, 0x0d, 0x0e, 0x40, 0x50, 0x6b, 0x1c, + 0xc0, 0x88, 0x79, 0x84, 0xe5, 0x60, 0x30, 0x46, 0x2f, 0x46, 0x0b, 0x90, + 0xd0, 0x0c, 0x28, 0x6b, 0x30, 0x09, 0xfe, 0x1c, 0x00, 0x13, 0x6c, 0xb8, + 0xe9, 0x39, 0xfe, 0x2e, 0x86, 0x78, 0x90, 0x67, 0x3b, 0x22, 0x5d, 0xc5, + 0xae, 0x64, 0x2d, 0x2c, 0x86, 0x66, 0xa4, 0x5d, 0x5f, 0xc3, 0x39, 0x6d, + 0x7a, 0xde, 0xbe, 0x0e, 0xa0, 0xdd, 0x74, 0x4f, 0xc6, 0x61, 0x0c, 0x13, + 0xfd, 0x5e, 0x63, 0x67, 0xec, 0x23, 0xfa, 0xf4, 0xb8, 0xe6, 0x1b, 0x9a, + 0x61, 0xcd, 0xad, 0x7f, 0xe1, 0x86, 0x55, 0x8e, 0xcb, 0xc6, 0x13, 0x4a, + 0xc6, 0x78, 0x85, 0x2e, 0x91, 0x42, 0x2d, 0x3e, 0x79, 0x68, 0xc5, 0xbe, + 0x37, 0x8b, 0x84, 0x89, 0x80, 0x64, 0xef, 0xbc, 0xf0, 0xb7, 0x64, 0x7c, + 0x69, 0xe0, 0xee, 0xd9, 0x7a, 0x12, 0x15, 0x7d, 0x2e, 0x33, 0x12, 0x95, + 0x9c, 0xe8, 0x9c, 0xa4, 0x7d, 0x3b, 0x27, 0xab, 0xd1, 0x90, 0x61, 0x9c, + 0x17, 0x42, 0xb3, 0x98, 0xc9, 0x42, 0x9e, 0x38, 0x11, 0x8a, 0x76, 0x36, + 0x42, 0x94, 0x70, 0x27, 0xe6, 0x63, 0x1d, 0xe7, 0x8c, 0x98, 0x1d, 0x80, + 0xff, 0x4f, 0x0b, 0x32, 0x8e, 0x7a, 0x18, 0x86, 0x4e, 0x91, 0xa0, 0x42, + 0xb6, 0x6e, 0xf2, 0xfb, 0xc8, 0x12, 0xb4, 0xbd, 0x1e, 0x6b, 0x72, 0x21, + 0x36, 0x43, 0x82, 0x03, 0x53, 0xc1, 0x0e, 0xfe, 0x2f, 0x6c, 0x81, 0xb0, + 0x10, 0x4d, 0x2e, 0x35, 0x7f, 0x29, 0x86, 0x82, 0xc9, 0x0d, 0xd0, 0xed, + 0xfd, 0x00, 0x97, 0xc2, 0x44, 0xf0, 0x2b, 0x33, 0x3f, 0x71, 0xf3, 0x4c, + 0xa6, 0xd9, 0xe9, 0x78, 0x67, 0x79, 0xef, 0x82, 0x86, 0xab, 0xa1, 0x66, + 0xfe, 0x03, 0x1e, 0x73, 0x88, 0x9a, 0x3f, 0xa8, 0xc7, 0x5b, 0x92, 0x00, + 0xf1, 0x93, 0x23, 0xf3, 0xe8, 0xab, 0x87, 0x07, 0x78, 0x89, 0x62, 0xbc, + 0x96, 0xc3, 0x87, 0xd8, 0x8c, 0xb5, 0x6b, 0xa2, 0x19, 0xa3, 0x26, 0x5e, + 0x62, 0xe3, 0x12, 0x7c, 0x3e, 0x3d, 0x30, 0xff, 0x39, 0x4a, 0x90, 0xe6, + 0xe8, 0x9d, 0x69, 0xae, 0xbb, 0xbb, 0x5e, 0xc3, 0x6c, 0x5e, 0xc7, 0x2f, + 0x79, 0x72, 0x90, 0x00, 0xec, 0xda, 0x23, 0xfb, 0x8e, 0x28, 0xb8, 0x1c, + 0xb5, 0x63, 0xf5, 0x76, 0xc8, 0x6b, 0xe2, 0x69, 0xe6, 0xc7, 0x25, 0xec, + 0x08, 0xf8, 0x69, 0xb3, 0x1b, 0x3b, 0xf1, 0x0b, 0x09, 0xde, 0xe9, 0x2a, + 0x25, 0x0e, 0x30, 0xaa, 0x44, 0x0d, 0x34, 0xc2, 0xcf, 0xae, 0xe2, 0xdb, + 0xb1, 0x3f, 0x39, 0x05, 0x44, 0xc8, 0x12, 0x47, 0x9c, 0xd9, 0x79, 0x5b, + 0x09, 0x47, 0x28, 0x5a, 0x69, 0xf5, 0x61, 0xd6, 0x75, 0x46, 0x93, 0x8b, + 0xde, 0x83, 0xe9, 0x0a, 0xc0, 0x24, 0xf0, 0x4b, 0xa0, 0x8b, 0x6b, 0x1d, + 0x92, 0x74, 0x45, 0xfe, 0xd1, 0x8c, 0x5e, 0xa9, 0x2e, 0xf1, 0x10, 0xe7, + 0x3e, 0x37, 0x88, 0x1c, 0x38, 0x32, 0x62, 0x0a, 0xf9, 0x94, 0x63, 0x33, + 0x7e, 0x68, 0x91, 0x02, 0x40, 0x40, 0x63, 0x62, 0xba, 0xfa, 0xee, 0x58, + 0x20, 0x25, 0x89, 0x7d, 0x6d, 0xea, 0x9b, 0x66, 0x98, 0xd5, 0xeb, 0x8e, + 0x8c, 0x03, 0xce, 0x84, 0xcd, 0x8b, 0x50, 0x7f, 0x0f, 0x37, 0x9f, 0x9a, + 0x2d, 0x73, 0x38, 0x42, 0xcc, 0x18, 0x6a, 0x4a, 0x62, 0xf8, 0x1b, 0x1a, + 0xd0, 0xf6, 0xa3, 0x31, 0x9e, 0x07, 0xe7, 0xe2, 0xcf, 0x3e, 0x34, 0x12, + 0xb2, 0x49, 0x98, 0x1b, 0x1c, 0x58, 0xcc, 0xb6, 0x1b, 0xfa, 0xe7, 0xb2, + 0x25, 0xf7, 0xd3, 0x7f, 0xb5, 0x55, 0x55, 0x5b, 0x14, 0xf6, 0x9c, 0x40, + 0x0f, 0xac, 0x1a, 0xc4, 0x1f, 0x80, 0x8e, 0x64, 0x11, 0xa4, 0x1b, 0xd3, + 0xe9, 0x58, 0xd8, 0xf7, 0x22, 0x2c, 0x85, 0x7d, 0x82, 0xec, 0xf0, 0xad, + 0xa9, 0x9a, 0x4e, 0xcc, 0x98, 0x14, 0x54, 0x9d, 0xc7, 0x0d, 0xd6, 0x45, + 0x48, 0x48, 0xe4, 0xb8, 0xc5, 0x75, 0x5c, 0x88, 0xea, 0xb3, 0xc3, 0xa7, + 0xed, 0x93, 0xa7, 0xbf, 0xdc, 0x2a, 0x3f, 0xaf, 0x0c, 0x04, 0x7b, 0xf9, + 0x8e, 0x01, 0x1d, 0x02, 0x6f, 0x66, 0x08, 0x03, 0x3f, 0x0a, 0xe1, 0x92, + 0x06, 0x6f, 0x86, 0xfc, 0x43, 0x60, 0x26, 0x55, 0x87, 0xba, 0x82, 0x5f, + 0x79, 0xc8, 0x14, 0x68, 0x91, 0x0b, 0xcb, 0x66, 0x14, 0x88, 0x84, 0xd3, + 0xa9, 0xa1, 0x75, 0x48, 0xa8, 0xd7, 0xaa, 0xd0, 0x81, 0xb3, 0xbc, 0x31, + 0xd9, 0xd8, 0x07, 0xac, 0xae, 0x9b, 0xf3, 0x98, 0x45, 0xe5, 0x50, 0x22, + 0x89, 0x3d, 0x52, 0x84, 0xfd, 0xd3, 0x4c, 0xee, 0xfb, 0xf4, 0x98, 0x2d, + 0x61, 0x4e, 0x86, 0xef, 0x9c, 0xcc, 0x92, 0x86, 0xd9, 0x2b, 0xdb, 0x3c, + 0x01, 0x18, 0x7c, 0x43, 0x6f, 0x3c, 0xda, 0x5f, 0x1f, 0x29, 0xff, 0xba, + 0x07, 0xa6, 0x98, 0x16, 0xf3, 0x2b, 0xa5, 0x2b, 0xa9, 0x9d, 0x05, 0x8c, + 0xc3, 0x55, 0xc8, 0x72, 0x99, 0xc2, 0x29, 0xbd, 0x0b, 0xe2, 0xf8, 0xc6, + 0x61, 0xf2, 0x08, 0xa9, 0x95, 0xda, 0xda, 0x47, 0x73, 0x69, 0x02, 0x21, + 0xad, 0xb5, 0x18, 0x63, 0xe5, 0x57, 0xc8, 0xe0, 0x3b, 0x21, 0xc3, 0x32, + 0xf7, 0x66, 0xc1, 0x5f, 0x51, 0x6c, 0x16, 0xd6, 0xf5, 0xda, 0x8d, 0x5a, + 0xdf, 0xd0, 0xf3, 0xc9, 0xa8, 0x0a, 0x84, 0x13, 0x93, 0x9e, 0x66, 0x29, + 0xc1, 0x33, 0xea, 0x79, 0x06, 0x93, 0x30, 0x43, 0x82, 0x97, 0x55, 0x31, + 0x2a, 0xe6, 0x4d, 0x77, 0x16, 0x10, 0x11, 0x8a, 0x7d, 0x2e, 0x14, 0xa0, + 0xf0, 0xc4, 0xc1, 0x8c, 0xe0, 0x9b, 0x46, 0x52, 0x48, 0xfb, 0x20, 0x1b, + 0xb8, 0x15, 0x06, 0xc1, 0x5d, 0xab, 0x37, 0x11, 0x9a, 0x5c, 0xb7, 0x19, +}; + +/* q=(p-1)/2 for prime prime_safe_8192 */ +static const unsigned char sub2_prime_safe_8192[] = { + 0x4d, 0xd3, 0xcd, 0xd1, 0x43, 0x2a, 0x73, 0xcc, 0x88, 0xad, 0x9a, 0xc0, + 0xea, 0xbd, 0x45, 0x37, 0x26, 0xa6, 0xb0, 0xae, 0xe9, 0xe7, 0x86, 0x32, + 0xbf, 0x6d, 0x6c, 0x67, 0x14, 0x56, 0x50, 0x1c, 0x40, 0xf7, 0x50, 0x8a, + 0x12, 0x90, 0xb3, 0xb3, 0x1d, 0x36, 0x07, 0xc0, 0x1e, 0xc4, 0xbc, 0xff, + 0x38, 0xa1, 0xab, 0xe1, 0xd4, 0xaa, 0x0f, 0x10, 0x45, 0x77, 0x07, 0xd3, + 0x45, 0xc4, 0x40, 0x9e, 0xf4, 0x2e, 0x20, 0x23, 0x82, 0xef, 0xec, 0x36, + 0xcc, 0x32, 0x8b, 0x54, 0xfc, 0xe2, 0x46, 0x01, 0x5d, 0x57, 0x35, 0x9b, + 0x3b, 0x64, 0xfd, 0x47, 0x68, 0x6b, 0xcd, 0x1e, 0x65, 0xe8, 0xa2, 0x04, + 0xeb, 0xa7, 0x94, 0x28, 0xca, 0x49, 0x2d, 0x81, 0x59, 0x5e, 0xbc, 0x69, + 0xe1, 0x3b, 0x01, 0x8a, 0x8b, 0x85, 0xaa, 0x84, 0x01, 0x21, 0x4f, 0x13, + 0x2b, 0x19, 0xb9, 0x73, 0x5e, 0x87, 0x7c, 0x9e, 0x96, 0x59, 0xc5, 0x26, + 0x33, 0x8b, 0xfe, 0xf4, 0x81, 0xd6, 0xc6, 0x1a, 0x42, 0x72, 0xc1, 0xef, + 0xce, 0x02, 0x49, 0x81, 0x93, 0x0c, 0xe0, 0xf8, 0x92, 0x34, 0x7b, 0x2a, + 0x4b, 0x67, 0x1c, 0x28, 0xde, 0xb6, 0x1e, 0xce, 0x06, 0x6c, 0x37, 0x09, + 0xa6, 0x45, 0xfb, 0x1a, 0x57, 0x6c, 0x42, 0x8e, 0x8e, 0xc7, 0x61, 0x56, + 0xd5, 0xd1, 0x62, 0xa0, 0x3b, 0x3f, 0x97, 0x97, 0x1c, 0x7a, 0x35, 0x1c, + 0x99, 0x9e, 0x8b, 0xe7, 0x0f, 0xf4, 0xe1, 0xc6, 0xcf, 0x72, 0xdf, 0x6b, + 0x56, 0xcd, 0x11, 0xec, 0x03, 0x79, 0xbe, 0x1c, 0xea, 0xd7, 0x2b, 0xdb, + 0x72, 0xe1, 0xcd, 0x45, 0x46, 0x37, 0x69, 0xe0, 0x8d, 0x32, 0x09, 0x00, + 0x0c, 0x29, 0xe5, 0x19, 0x44, 0x47, 0x60, 0x2f, 0x96, 0xd9, 0x1e, 0x8a, + 0x0d, 0xac, 0x2e, 0x10, 0x74, 0x29, 0x72, 0x94, 0x20, 0xde, 0x4f, 0x04, + 0x14, 0xd5, 0xd2, 0xa1, 0xcc, 0x87, 0x6b, 0x95, 0x5c, 0xdc, 0x32, 0x4e, + 0xc1, 0xf1, 0x8d, 0x13, 0x2c, 0xb2, 0xf9, 0x06, 0x64, 0xe2, 0xc7, 0x86, + 0xe7, 0xd0, 0x8c, 0x7e, 0x45, 0xbb, 0xf4, 0xf0, 0x8c, 0xbd, 0x81, 0xea, + 0x1b, 0xc6, 0xae, 0x9b, 0x95, 0xd6, 0xac, 0x2f, 0x39, 0xb9, 0x67, 0x42, + 0x72, 0xe4, 0xba, 0x8e, 0xf9, 0xac, 0x21, 0x3b, 0xff, 0x29, 0xd0, 0x61, + 0x33, 0x10, 0xd7, 0xf1, 0x30, 0xe9, 0x42, 0x59, 0x81, 0xa6, 0xec, 0x3e, + 0xc2, 0xf0, 0xd4, 0x50, 0x24, 0x2e, 0x8d, 0x54, 0xd6, 0x60, 0xb4, 0x92, + 0x63, 0x7d, 0x5a, 0x91, 0x1f, 0x51, 0xc6, 0x9a, 0x94, 0xe7, 0xcd, 0x72, + 0xc2, 0x1d, 0x85, 0x93, 0x9b, 0x3f, 0x4e, 0xd3, 0x58, 0x22, 0xb0, 0x21, + 0x0f, 0x25, 0x92, 0x68, 0x9b, 0x45, 0xb8, 0x68, 0xca, 0xaa, 0x0a, 0x5c, + 0xa3, 0x9e, 0xc6, 0xf2, 0x2f, 0xc0, 0x8d, 0x10, 0x8b, 0x8b, 0xdf, 0xc9, + 0x11, 0x26, 0x3b, 0x98, 0x6e, 0x4e, 0x42, 0x73, 0x34, 0x66, 0x6b, 0x08, + 0x82, 0x7f, 0xb8, 0xc3, 0x59, 0xd4, 0xcd, 0x89, 0xca, 0x9a, 0xfe, 0xb4, + 0x14, 0x4d, 0xb7, 0xae, 0x7b, 0xb3, 0x54, 0x37, 0xc4, 0x87, 0xc9, 0x6f, + 0xa9, 0x12, 0x1f, 0xed, 0x97, 0xa0, 0x09, 0x19, 0x52, 0x7f, 0x97, 0x25, + 0xdc, 0x50, 0x73, 0xe4, 0xe5, 0xcc, 0x09, 0xfc, 0xe9, 0x7d, 0x41, 0x34, + 0x59, 0x47, 0xe9, 0x8b, 0xc6, 0x49, 0xfa, 0xc0, 0x72, 0x2d, 0x19, 0x8d, + 0xb5, 0x6c, 0x5f, 0x9b, 0xd3, 0xf0, 0xb1, 0x8e, 0xb5, 0x61, 0xfd, 0x50, + 0x97, 0xe0, 0xb9, 0x2a, 0xea, 0xf1, 0x33, 0x9d, 0xb5, 0x9d, 0x54, 0x58, + 0x2a, 0x02, 0x0e, 0xdd, 0xe0, 0xf2, 0x9d, 0x29, 0x58, 0xb3, 0x85, 0x89, + 0x1f, 0x66, 0xd4, 0xcd, 0x07, 0x5d, 0xd1, 0xba, 0xb6, 0xb7, 0xbb, 0xba, + 0x32, 0x71, 0x8b, 0x46, 0x52, 0xdd, 0x76, 0x28, 0xb9, 0xe7, 0x25, 0xf3, + 0x37, 0x9e, 0x8a, 0xab, 0x21, 0xf0, 0x8b, 0xbb, 0xb3, 0x55, 0xee, 0x4e, + 0xcd, 0x88, 0x2e, 0xe2, 0x74, 0x8f, 0x55, 0x16, 0x8a, 0xdd, 0xe2, 0x04, + 0xa3, 0x18, 0x70, 0xdc, 0x49, 0x4a, 0x2f, 0xdb, 0xf3, 0xbf, 0x4b, 0xa1, + 0xe0, 0x24, 0x2d, 0xd7, 0xf5, 0x3a, 0x57, 0x46, 0x3c, 0xb5, 0xb3, 0x41, + 0xb1, 0x44, 0x0b, 0xd2, 0x2b, 0x2e, 0xac, 0x7d, 0xb6, 0x1c, 0x2b, 0xa6, + 0xf7, 0xeb, 0x9b, 0x22, 0x1c, 0xad, 0xd5, 0xca, 0x72, 0x04, 0x18, 0x69, + 0x96, 0x2c, 0xd0, 0x19, 0x71, 0x38, 0xcc, 0xf6, 0x33, 0x2f, 0x7b, 0xf1, + 0x4e, 0x0c, 0xb4, 0xb9, 0x37, 0xed, 0x9f, 0x66, 0x0c, 0xad, 0x7e, 0xd6, + 0xeb, 0x37, 0x4e, 0x83, 0xe0, 0x32, 0x80, 0xba, 0xee, 0x9b, 0x8d, 0xce, + 0x2f, 0x49, 0x99, 0x7c, 0x3f, 0x32, 0xea, 0xda, 0x8a, 0x9a, 0xd6, 0x82, + 0xda, 0xe9, 0x12, 0xe3, 0xb8, 0xad, 0x72, 0x5b, 0xac, 0x35, 0x61, 0xad, + 0x6c, 0xea, 0x77, 0x19, 0x5a, 0x85, 0xad, 0x95, 0x66, 0xc0, 0x67, 0x6a, + 0x16, 0xe4, 0x84, 0xca, 0x7a, 0xf9, 0x3e, 0x57, 0xdd, 0x2d, 0x69, 0xee, + 0x66, 0xeb, 0xfb, 0xf5, 0x21, 0x71, 0x61, 0x1a, 0x10, 0xdc, 0x8a, 0x92, + 0x74, 0x19, 0x35, 0xb7, 0xd8, 0x76, 0xbb, 0x2f, 0x22, 0xdf, 0x81, 0x51, + 0x5c, 0x1e, 0x52, 0xfa, 0xba, 0x71, 0x8c, 0x44, 0x90, 0xa7, 0x53, 0x04, + 0x51, 0xd2, 0xc9, 0xb4, 0xa4, 0x4b, 0x5e, 0xa3, 0xe9, 0xf5, 0xb3, 0x94, + 0xd4, 0x5d, 0xdf, 0x3c, 0x02, 0xfd, 0x23, 0x44, 0xa7, 0x06, 0x71, 0x36, + 0x5d, 0xf2, 0xfc, 0x5d, 0x72, 0xae, 0x94, 0xf3, 0xee, 0xb8, 0xbf, 0x4a, + 0x6b, 0xab, 0x06, 0x1e, 0x6f, 0x2f, 0xde, 0x6e, 0x07, 0xc7, 0x6b, 0x37, + 0x85, 0x03, 0xdc, 0x03, 0x92, 0x31, 0x26, 0x76, 0xa2, 0xa7, 0x86, 0xcf, + 0x97, 0x41, 0xb5, 0x75, 0xde, 0x7f, 0xd4, 0xf9, 0x39, 0xd9, 0xad, 0xd5, + 0x56, 0x76, 0xd6, 0x44, 0x51, 0x06, 0xc6, 0xc7, 0xda, 0x7b, 0xb9, 0x8f, + 0x60, 0x17, 0x69, 0xa2, 0x8a, 0xa5, 0xa5, 0x73, 0xea, 0x77, 0xd8, 0xe3, + 0x69, 0xc7, 0xfc, 0x12, 0x09, 0x19, 0x9f, 0x47, 0x4a, 0xde, 0x40, 0xda, + 0x6a, 0x68, 0x89, 0xde, 0x3f, 0x12, 0xda, 0x2d, 0xff, 0x8a, 0xdd, 0x7c, + 0x4d, 0x76, 0x3c, 0x72, 0x31, 0xe3, 0x93, 0x6a, 0xc4, 0x9e, 0xb1, 0xad, + 0xbe, 0x43, 0x31, 0x9a, 0x03, 0x14, 0x11, 0x84, 0x7f, 0xb6, 0xde, 0xf0, + 0x3a, 0xd9, 0xb8, 0x89, 0x13, 0x31, 0xe5, 0x49, 0x9b, 0x43, 0x75, 0xfb, + 0xa4, 0x68, 0xcb, 0x7a, 0x01, 0x1f, 0x2e, 0xb4, 0xba, 0xaf, 0x4a, 0xf7, + 0x19, 0x5c, 0xdd, 0x2a, 0xe2, 0xa1, 0x3a, 0x00, 0x70, 0x87, 0x8b, 0x02, + 0xb1, 0x1e, 0x2c, 0x65, 0xf0, 0x6a, 0x54, 0xf2, 0x8d, 0x1d, 0xc2, 0x3f, + 0x0c, 0xc3, 0xd6, 0xb3, 0xe6, 0xcd, 0xcb, 0xd8, 0x19, 0x6b, 0xdc, 0x0f, + 0x4b, 0x34, 0xba, 0x87, 0xb0, 0xb4, 0xd9, 0xe4, 0xe7, 0x39, 0xbe, 0x2f, + 0xea, 0x84, 0x6f, 0xea, 0x03, 0xba, 0xb0, 0x6b, 0xa8, 0x29, 0x73, 0xae, + 0x37, 0x82, 0x2c, 0xb2, 0xde, 0xb8, 0x4c, 0x8a, 0xfc, 0xde, 0x1a, 0x3c, + 0x35, 0x32, 0x56, 0x2f, 0x83, 0xe1, 0x44, 0xc4, 0x7f, 0x08, 0xbd, 0x7b, + 0x9e, 0xdf, 0x41, 0xff, 0xf5, 0x8e, 0xa9, 0x5f, 0x6a, 0x04, 0xb8, 0x87, + 0xbe, 0x4a, 0x8c, 0xf9, 0x25, 0xfa, 0xa2, 0x31, 0xf9, 0x76, 0x1f, 0xfc, + 0xf2, 0x7d, 0xdf, 0x12, 0x59, 0x0c, 0x29, 0xe7, 0x0b, 0x20, 0x0f, 0x13, + 0xb1, 0x4c, 0xc9, 0xe4, 0xa4, 0xc7, 0xcc, 0x06, 0xec, 0x39, 0xb2, 0xcc, + 0xd6, 0x7f, 0xff, 0x11, 0x35, 0x68, 0xfd, 0xd0, 0xf2, 0x73, 0xd5, 0x9e, + 0x39, 0x08, 0x56, 0x39, +}; +#endif + +/* q=(p-1)/2 for prime prime_weak_1024 */ +static const unsigned char sub2_prime_weak_1024[] = { + 0x72, 0x41, 0x04, 0xa5, 0x35, 0xdf, 0x4d, 0xa8, 0x88, 0xd0, 0x3a, 0x12, + 0xff, 0xa8, 0x0e, 0x05, 0x6b, 0x68, 0x5e, 0x69, 0x92, 0x44, 0xba, 0xba, + 0x59, 0xeb, 0x35, 0xfa, 0x63, 0xaf, 0xb5, 0x76, 0x0f, 0x1d, 0x10, 0x01, + 0x0b, 0x3a, 0xe6, 0x22, 0x25, 0x5f, 0xad, 0xac, 0x56, 0xff, 0x58, 0x0c, + 0x35, 0x1c, 0x45, 0xe5, 0xed, 0xe8, 0xbb, 0xa1, 0x71, 0xd1, 0xc3, 0xc5, + 0x4c, 0x97, 0x08, 0xec, 0x64, 0x81, 0x42, 0x0e, 0xe9, 0x33, 0x94, 0x5e, + 0xc7, 0xfd, 0xab, 0x79, 0x31, 0xc5, 0x16, 0x3e, 0x1c, 0x77, 0xd1, 0x06, + 0x35, 0x1b, 0x68, 0x4c, 0x89, 0xa3, 0xa4, 0x20, 0x72, 0xe6, 0xed, 0x82, + 0x26, 0x51, 0x09, 0x1f, 0x8d, 0x4d, 0xcd, 0x07, 0x5c, 0x34, 0x3e, 0x80, + 0xde, 0x0b, 0x37, 0xa8, 0xb2, 0x0e, 0xd5, 0x90, 0xba, 0xa4, 0x89, 0x1b, + 0x56, 0x32, 0xc5, 0xfc, 0x43, 0xec, 0xd7, 0xe8, +}; + +/* q=(p-1)/2 for prime prime_weak_2048 */ +static const unsigned char sub2_prime_weak_2048[] = { + 0x5a, 0x84, 0x41, 0xb5, 0x11, 0x1c, 0xef, 0x81, 0x7f, 0x39, 0xb5, 0xfd, + 0x86, 0xa7, 0x56, 0xa5, 0x87, 0xfe, 0xd9, 0x13, 0xf3, 0xe9, 0x1a, 0xea, + 0x41, 0xf9, 0x5e, 0x14, 0xff, 0xa8, 0x7b, 0xb5, 0xdb, 0xca, 0x1c, 0x7f, + 0xee, 0x3c, 0xb3, 0xcd, 0x40, 0x45, 0xe1, 0x10, 0x27, 0x29, 0x81, 0x15, + 0x03, 0xf6, 0x54, 0xde, 0x91, 0x68, 0xdd, 0x1a, 0x98, 0x88, 0x10, 0xdb, + 0x27, 0xf0, 0xca, 0x05, 0xd8, 0x59, 0x9b, 0x90, 0x06, 0xb5, 0x6a, 0x48, + 0xae, 0x42, 0xf4, 0xd7, 0x45, 0x79, 0x4a, 0x73, 0xa2, 0x7a, 0xe6, 0x02, + 0x41, 0x2b, 0xc0, 0x90, 0xc1, 0x8c, 0x24, 0x16, 0xf1, 0x8e, 0x50, 0xbf, + 0xf7, 0x08, 0x5c, 0xf4, 0x20, 0x7e, 0x6d, 0x21, 0xbe, 0x8c, 0x72, 0x34, + 0x4f, 0xf6, 0xaf, 0x61, 0x8f, 0xc0, 0x77, 0xae, 0x12, 0x2f, 0x34, 0x56, + 0x4c, 0xce, 0x3a, 0x4b, 0x2d, 0xd9, 0xf3, 0xd9, 0x32, 0xbc, 0x7d, 0x9e, + 0x08, 0x80, 0x02, 0x25, 0xcc, 0x07, 0x45, 0x3d, 0x9c, 0x04, 0x1a, 0x5c, + 0xb6, 0x84, 0x32, 0x8b, 0xc8, 0xa4, 0xb1, 0x23, 0xb2, 0x55, 0xe3, 0x68, + 0x79, 0x67, 0xc4, 0x83, 0xf5, 0xd1, 0xae, 0xf9, 0xd1, 0x7d, 0xee, 0xbd, + 0x9f, 0x3f, 0x51, 0x6b, 0x8d, 0x21, 0x56, 0xba, 0x5e, 0xdd, 0xe7, 0x90, + 0xc8, 0xe9, 0x35, 0x8e, 0xce, 0xd4, 0x02, 0xc4, 0x27, 0xd8, 0xa2, 0xd1, + 0x43, 0x48, 0x09, 0x7e, 0xe5, 0x92, 0xf0, 0x89, 0x04, 0x23, 0x8e, 0xc1, + 0x96, 0x8a, 0x21, 0x10, 0x04, 0x18, 0xaa, 0x16, 0x4d, 0xa4, 0xfb, 0x5b, + 0x16, 0x92, 0xf5, 0x14, 0x5f, 0x89, 0x95, 0xe9, 0xa2, 0xc6, 0x81, 0x4f, + 0xd2, 0xd5, 0x75, 0xe0, 0x24, 0x68, 0x83, 0x73, 0x0f, 0x50, 0x1f, 0x02, + 0x10, 0x3c, 0xbe, 0x68, 0xe8, 0x56, 0x30, 0xc4, 0xb6, 0x1d, 0xc4, 0x51, + 0xaa, 0x36, 0x40, 0x2c, +}; + +/* q=(p-1)/2 for prime prime_weak_3072 */ +static const unsigned char sub2_prime_weak_3072[] = { + 0x4a, 0x19, 0x63, 0xa3, 0xa8, 0xd1, 0x81, 0xcd, 0xf9, 0x28, 0xae, 0x34, + 0xd7, 0x82, 0x9e, 0x3b, 0x31, 0x51, 0x76, 0x2d, 0x66, 0x6f, 0xc0, 0x79, + 0x96, 0xe7, 0x52, 0xd2, 0xcf, 0x16, 0xd5, 0xaf, 0xc8, 0xde, 0xc9, 0xb0, + 0xeb, 0xbd, 0xb8, 0xb7, 0xf9, 0xc9, 0x5f, 0xd4, 0x7e, 0x66, 0x80, 0x7a, + 0xa4, 0x84, 0x00, 0x46, 0x69, 0x7f, 0x25, 0x6c, 0x15, 0xb7, 0x21, 0x60, + 0x6c, 0x51, 0x45, 0x95, 0x8c, 0x01, 0x56, 0xf4, 0x27, 0x22, 0x04, 0x93, + 0x50, 0xd0, 0xe5, 0x4c, 0xf1, 0xec, 0xcd, 0x43, 0x9e, 0x41, 0xb5, 0x0d, + 0x3d, 0xb0, 0x5d, 0x3c, 0x06, 0x3c, 0xa8, 0x0f, 0xef, 0x20, 0x0a, 0x2c, + 0x0c, 0x54, 0x95, 0xba, 0x08, 0xda, 0x32, 0xff, 0x4e, 0x81, 0xd2, 0x77, + 0xef, 0xba, 0x47, 0x66, 0xbd, 0xea, 0x79, 0x94, 0x3a, 0xd9, 0x18, 0xf7, + 0xcc, 0xb2, 0xe5, 0xad, 0x3b, 0xe5, 0x51, 0x12, 0x94, 0x57, 0x7d, 0x4f, + 0xf5, 0xed, 0x66, 0x1a, 0x3d, 0x90, 0xeb, 0xed, 0xaa, 0x20, 0x73, 0x17, + 0xed, 0xe0, 0x67, 0x6e, 0x72, 0xe4, 0x93, 0xcb, 0xcc, 0xce, 0x01, 0x27, + 0x92, 0x44, 0x49, 0xef, 0xd4, 0xe3, 0x9f, 0x08, 0x64, 0x55, 0x35, 0x67, + 0x6d, 0x23, 0x4a, 0x46, 0x56, 0x8f, 0x78, 0xe5, 0xe9, 0xe6, 0xa1, 0xa2, + 0x5a, 0x10, 0x48, 0xcf, 0x7b, 0x68, 0x81, 0xf7, 0xe1, 0x02, 0x7b, 0x83, + 0xed, 0xd6, 0x51, 0x14, 0x46, 0x3e, 0x8e, 0xae, 0x96, 0x2d, 0x7e, 0x13, + 0x2d, 0x85, 0xac, 0x5c, 0xcd, 0x23, 0xf4, 0xd0, 0x6f, 0xd2, 0xad, 0x79, + 0xf2, 0xeb, 0x75, 0xb4, 0xda, 0xa7, 0x5e, 0x38, 0xe0, 0x6b, 0x4d, 0xdc, + 0x20, 0x1d, 0xe2, 0xb9, 0x2e, 0xa6, 0x8d, 0x8b, 0x9e, 0x9b, 0x52, 0x58, + 0x8a, 0xd3, 0xcd, 0x39, 0x75, 0xf9, 0x4f, 0x20, 0x68, 0xde, 0x1a, 0xe3, + 0xe8, 0x8d, 0x47, 0x8e, 0x15, 0xaf, 0x6c, 0x59, 0x9d, 0xa2, 0x57, 0x7a, + 0xc0, 0xe8, 0x45, 0x1b, 0xd5, 0xdd, 0x11, 0x5e, 0x16, 0xc4, 0x17, 0x92, + 0x5d, 0xd8, 0x0d, 0x54, 0xaf, 0x83, 0x88, 0x36, 0xe3, 0x5d, 0x9e, 0x51, + 0x33, 0x7c, 0xdc, 0xca, 0xeb, 0x2f, 0x46, 0x67, 0x02, 0x6e, 0x59, 0xa6, + 0x5e, 0x74, 0xe2, 0xe5, 0x8c, 0xcb, 0xf1, 0x50, 0x84, 0x9c, 0x6b, 0xc1, + 0x53, 0x5f, 0xe4, 0x8a, 0x92, 0xf8, 0x96, 0x3b, 0xfe, 0x5e, 0xfd, 0x3f, + 0xc9, 0x7f, 0x6b, 0x18, 0x81, 0x91, 0x96, 0x8b, 0x97, 0xa8, 0xcf, 0x2e, + 0x58, 0xb4, 0x60, 0x1f, 0xa1, 0x4c, 0x80, 0x2a, 0x99, 0xb4, 0x6b, 0xf7, + 0x28, 0xbe, 0x9f, 0x01, 0xa7, 0x81, 0x2f, 0x93, 0xee, 0x8b, 0x8c, 0x36, + 0x0f, 0x4e, 0xc8, 0xb2, 0xfc, 0x6b, 0xd3, 0x4f, 0xd0, 0xdd, 0x54, 0x3b, + 0x72, 0x6c, 0x7a, 0x2c, 0xc8, 0x0b, 0x33, 0xc4, 0x61, 0x54, 0xf2, 0x16, +}; + +/* q=(p-1)/2 for prime prime_weak_4096 */ +static const unsigned char sub2_prime_weak_4096[] = { + 0x7f, 0xa8, 0x69, 0xe6, 0x44, 0x8b, 0xaf, 0x5b, 0x7c, 0x51, 0xd8, 0x71, + 0x7c, 0xcf, 0x8b, 0xd0, 0xc9, 0x2b, 0x0a, 0x89, 0x89, 0x4f, 0x8c, 0x6e, + 0x03, 0x80, 0x61, 0x24, 0xe4, 0xec, 0xea, 0x05, 0x71, 0xeb, 0xfb, 0x30, + 0x10, 0xd4, 0xbd, 0xe0, 0x07, 0x87, 0x57, 0x1f, 0x3b, 0xbb, 0xa4, 0x6c, + 0x7e, 0xa1, 0x76, 0x5a, 0xd7, 0x00, 0x55, 0xe7, 0x68, 0x88, 0xe5, 0x69, + 0x32, 0x2d, 0x51, 0xb5, 0xdd, 0x68, 0xc9, 0xf5, 0x6d, 0x69, 0x50, 0x30, + 0x1c, 0x85, 0x9a, 0x27, 0x86, 0x78, 0xd8, 0x29, 0x3a, 0xa8, 0x9e, 0x94, + 0x01, 0x5a, 0xde, 0xa1, 0x4c, 0x10, 0x53, 0xa1, 0x5c, 0x90, 0xcd, 0x57, + 0x5b, 0x20, 0xbd, 0xb8, 0x71, 0xec, 0xd7, 0xc0, 0x8d, 0x60, 0x9c, 0xce, + 0x29, 0x2b, 0x65, 0x86, 0xb5, 0x33, 0xb7, 0x9e, 0x89, 0x3b, 0x39, 0xa9, + 0xca, 0x96, 0xe0, 0x82, 0x6d, 0xc1, 0xf2, 0x68, 0x5f, 0x16, 0xd3, 0x3d, + 0x07, 0xc0, 0x0d, 0xe8, 0x0b, 0x0a, 0x1d, 0x70, 0x24, 0x7d, 0x7a, 0xa2, + 0x54, 0x70, 0x5f, 0xcc, 0x70, 0xab, 0x75, 0x3b, 0x5b, 0x71, 0x51, 0xad, + 0x8a, 0xbc, 0x88, 0x58, 0x20, 0xee, 0x14, 0x87, 0x8f, 0x1b, 0xb4, 0xe6, + 0x89, 0xdf, 0x16, 0xf0, 0x39, 0x9c, 0x34, 0x76, 0xa8, 0x35, 0x68, 0x7d, + 0xe5, 0x8b, 0x9d, 0x2c, 0xfd, 0xf6, 0x5d, 0x3a, 0xdb, 0x27, 0x17, 0xb7, + 0x4b, 0xcc, 0x07, 0x3c, 0x92, 0xee, 0xec, 0x7a, 0x9a, 0x5a, 0x50, 0x3f, + 0x5d, 0x34, 0x3e, 0x27, 0xfd, 0xf0, 0x4b, 0xa3, 0x28, 0x0f, 0x25, 0x2c, + 0xce, 0x6e, 0x1a, 0x71, 0x15, 0x5a, 0xe4, 0x2c, 0x4a, 0x24, 0x4f, 0xdc, + 0x1b, 0x65, 0xe7, 0x1b, 0x58, 0xbe, 0x72, 0xc6, 0xad, 0xa1, 0xeb, 0xc4, + 0x6f, 0xd7, 0x68, 0x64, 0xa1, 0x2f, 0x85, 0x71, 0xb1, 0x88, 0xe2, 0x86, + 0x40, 0x2a, 0xac, 0x6b, 0xf9, 0x28, 0xb7, 0x59, 0xbf, 0x4e, 0x8e, 0x61, + 0xb0, 0xac, 0xae, 0x23, 0xea, 0x4c, 0xe0, 0x33, 0xfd, 0xd9, 0x6b, 0x08, + 0xed, 0x49, 0x2d, 0xb5, 0xe9, 0x38, 0x5b, 0xb4, 0xb9, 0x73, 0x83, 0x6e, + 0xa0, 0x56, 0x40, 0xa8, 0x8e, 0xa9, 0x3d, 0x22, 0x9c, 0x44, 0x93, 0x96, + 0x62, 0x25, 0xbf, 0x2f, 0x3c, 0xf7, 0xc2, 0x35, 0x12, 0x26, 0xce, 0x4f, + 0x65, 0x3a, 0xae, 0x03, 0x36, 0xe8, 0x29, 0x74, 0xed, 0x4f, 0xa3, 0x5b, + 0x31, 0x0e, 0xd9, 0xec, 0xf9, 0x3e, 0xeb, 0x61, 0x3d, 0x24, 0xbe, 0x6e, + 0xcd, 0xd5, 0x61, 0xc2, 0x05, 0x84, 0x19, 0xdc, 0x40, 0x61, 0x89, 0x47, + 0xd6, 0xd6, 0x07, 0xbf, 0xd7, 0xac, 0xb0, 0x86, 0xcc, 0x60, 0xfc, 0xb4, + 0x61, 0x8d, 0x88, 0x04, 0x62, 0x19, 0x9e, 0x52, 0x71, 0x6a, 0xf5, 0xb8, + 0xae, 0x8c, 0xbf, 0x02, 0xe5, 0x4d, 0x7a, 0xdd, 0xb8, 0xaa, 0xc1, 0xce, + 0x12, 0xa8, 0x1a, 0xbf, 0x96, 0xf5, 0xf9, 0x06, 0xf6, 0x9e, 0x5c, 0x38, + 0xde, 0x84, 0x7a, 0xc4, 0xbf, 0x2f, 0x1c, 0x20, 0x6b, 0xf6, 0xbb, 0xc6, + 0xbd, 0x76, 0x95, 0x4f, 0xfe, 0x00, 0xfa, 0x71, 0x67, 0xed, 0x46, 0x51, + 0xab, 0xee, 0x0a, 0x6b, 0x50, 0xec, 0xcb, 0xdc, 0xf3, 0x7e, 0x24, 0x3a, + 0xa1, 0xde, 0x9d, 0xc8, 0x8b, 0x9e, 0x19, 0xe5, 0x67, 0x14, 0x84, 0x8d, + 0xf4, 0x4e, 0xdb, 0x3a, 0x02, 0xaf, 0x17, 0x52, 0x8e, 0xbf, 0x9d, 0x54, + 0x96, 0x7b, 0x26, 0xa0, 0xc8, 0x5e, 0x2b, 0x0c, 0x29, 0x01, 0x48, 0x77, + 0xb8, 0xff, 0x9f, 0x06, 0x7c, 0x00, 0x02, 0x03, 0xea, 0x90, 0x13, 0x6e, + 0xae, 0x58, 0x9b, 0x81, 0x90, 0x06, 0x5a, 0x5b, 0x1c, 0xa4, 0xa4, 0xd5, + 0x73, 0xcc, 0x00, 0xd1, 0x17, 0x05, 0x19, 0xc1, 0x4f, 0x5c, 0x92, 0x5b, + 0xc0, 0x6f, 0xe9, 0xef, 0x82, 0x72, 0x28, 0x4e, +}; + +#ifdef NSS_SOFTOKEN_DH_INCLUDE_SLOW +/* q=(p-1)/2 for prime prime_weak_6144 */ +static const unsigned char sub2_prime_weak_6144[] = { + 0x51, 0x12, 0x4b, 0x5b, 0x10, 0xb4, 0x6a, 0xbf, 0x16, 0x30, 0x26, 0xe4, + 0x40, 0xac, 0xce, 0x0e, 0x38, 0x76, 0x12, 0x14, 0x5b, 0x29, 0x1b, 0x04, + 0xc3, 0xd5, 0x60, 0xad, 0xf2, 0xd3, 0x1f, 0x44, 0x2a, 0x02, 0xf1, 0x84, + 0x84, 0xe5, 0x36, 0xcd, 0xe2, 0x46, 0x93, 0x57, 0xeb, 0xf7, 0x4f, 0x86, + 0xde, 0xa2, 0x47, 0x7f, 0x66, 0xf9, 0x73, 0x6f, 0x56, 0x79, 0x01, 0x1b, + 0xee, 0x1a, 0xe1, 0x67, 0x66, 0xaf, 0xe2, 0xc3, 0x87, 0xcc, 0xd3, 0xed, + 0x87, 0x8d, 0x66, 0xbb, 0x55, 0x25, 0x52, 0x84, 0xb0, 0x30, 0x71, 0xac, + 0x72, 0x29, 0x03, 0x8d, 0xa1, 0x0b, 0x88, 0xa8, 0x15, 0xa0, 0x4a, 0xc6, + 0xa4, 0x50, 0x1a, 0x4a, 0x92, 0x9c, 0x67, 0x84, 0xca, 0x73, 0x2a, 0x83, + 0x45, 0x6f, 0x6e, 0x20, 0xa5, 0x6c, 0x8f, 0xc0, 0x41, 0x0e, 0xdc, 0x0f, + 0x42, 0x30, 0x6f, 0x76, 0xa7, 0xe0, 0x6c, 0x0e, 0xaa, 0x6d, 0x59, 0xf9, + 0x87, 0x2a, 0x1f, 0x8c, 0x44, 0x7f, 0x92, 0x98, 0xe3, 0x0b, 0x73, 0x38, + 0x7d, 0x62, 0x04, 0x7e, 0x00, 0x45, 0xfb, 0x4e, 0x94, 0xc5, 0x2c, 0xa4, + 0xf6, 0xae, 0x1a, 0x3d, 0x42, 0x3c, 0xa0, 0x60, 0xbf, 0x41, 0x0b, 0x9b, + 0x64, 0x4b, 0x5a, 0xe9, 0x7c, 0xed, 0xe0, 0x08, 0x4f, 0xfc, 0x4a, 0x9a, + 0xb7, 0xd8, 0x5c, 0xa4, 0x44, 0x6e, 0x78, 0x26, 0x98, 0x66, 0x8a, 0xfe, + 0x97, 0xdd, 0x0c, 0x66, 0x4a, 0x28, 0x1f, 0xff, 0x30, 0x1e, 0xbd, 0x23, + 0x77, 0xe2, 0x66, 0x8a, 0x70, 0x77, 0xcb, 0xc0, 0xd0, 0xca, 0xf1, 0xd2, + 0xc8, 0xcd, 0x7b, 0xcf, 0xbe, 0x7d, 0x06, 0x34, 0xdb, 0x6f, 0xed, 0xd7, + 0x98, 0xec, 0x54, 0x3b, 0xb5, 0x5d, 0x5d, 0x40, 0x7f, 0x9f, 0xaf, 0xc3, + 0x4f, 0xc0, 0x01, 0x8f, 0x68, 0x2f, 0x9b, 0xa8, 0x30, 0xfe, 0x01, 0xec, + 0x49, 0xd0, 0xbc, 0xb1, 0x7d, 0x49, 0x5c, 0x25, 0x33, 0x4c, 0xeb, 0xc2, + 0xc6, 0x87, 0x83, 0x81, 0x01, 0xc1, 0xc6, 0x10, 0x52, 0xce, 0x17, 0xfe, + 0x91, 0x2d, 0x78, 0x4a, 0x8f, 0x5f, 0x8b, 0xf8, 0x9d, 0x20, 0x3f, 0xe7, + 0x4a, 0x31, 0x2f, 0xac, 0x72, 0xf9, 0xcc, 0xc6, 0x1c, 0x47, 0x82, 0x88, + 0x34, 0x75, 0x20, 0xda, 0xe0, 0x37, 0xa7, 0xb1, 0xc3, 0x8e, 0xcc, 0x61, + 0x98, 0xb3, 0x0f, 0x4f, 0x96, 0x9e, 0x37, 0x4f, 0xd9, 0xe7, 0xc7, 0x3b, + 0xfa, 0x9e, 0x28, 0xad, 0x77, 0x41, 0x50, 0xe2, 0xa9, 0x90, 0x3a, 0xe8, + 0xd4, 0x01, 0x1b, 0xa1, 0x84, 0x0b, 0x02, 0x80, 0xf6, 0xf5, 0x78, 0xa9, + 0x2c, 0x10, 0x4a, 0x42, 0x82, 0x97, 0x24, 0x1f, 0xa3, 0xa4, 0xa7, 0x80, + 0xa2, 0x5e, 0x8f, 0x21, 0x75, 0x48, 0x48, 0x11, 0xcc, 0x82, 0xfe, 0x9b, + 0xa0, 0x86, 0x17, 0xe2, 0x10, 0x02, 0x4c, 0xf7, 0x07, 0xdd, 0xe1, 0x36, + 0x85, 0x3f, 0x92, 0x2d, 0x0b, 0xd2, 0x75, 0xce, 0x33, 0xff, 0x32, 0x06, + 0xf5, 0x5b, 0x90, 0x24, 0x20, 0x1d, 0x92, 0xf6, 0xa8, 0xae, 0x7e, 0x10, + 0x0c, 0x5b, 0x7e, 0x1f, 0x6d, 0xec, 0xd0, 0xde, 0xcf, 0x77, 0x65, 0xae, + 0x81, 0x7f, 0x3f, 0xa1, 0x4e, 0xe4, 0xe7, 0x7d, 0x70, 0xec, 0x79, 0x02, + 0xb3, 0x9a, 0xc4, 0x27, 0x6b, 0xb8, 0x4b, 0xb1, 0xda, 0x86, 0x30, 0x44, + 0xe0, 0x7f, 0x19, 0x6b, 0xd7, 0x25, 0xf8, 0x85, 0x57, 0x1e, 0x6f, 0x0c, + 0x4e, 0x0e, 0xe9, 0x6d, 0x79, 0x01, 0x46, 0xf8, 0x83, 0xeb, 0x2f, 0x5b, + 0xdd, 0x57, 0xc0, 0xcb, 0xf7, 0x70, 0x4e, 0xa8, 0xf9, 0x8e, 0xe0, 0xae, + 0xa1, 0xf1, 0x05, 0x86, 0x4e, 0x06, 0xba, 0x48, 0x90, 0x37, 0xb2, 0xf8, + 0xf9, 0x42, 0x01, 0x1c, 0x5a, 0xf2, 0x88, 0x10, 0xfe, 0x73, 0x61, 0xa5, + 0xb0, 0x24, 0xb5, 0x78, 0xea, 0xa8, 0x07, 0xb7, 0xc5, 0x8f, 0x40, 0x79, + 0xae, 0x94, 0xf7, 0x30, 0x55, 0x93, 0x52, 0xc6, 0x62, 0x26, 0x65, 0xd3, + 0x55, 0x71, 0xff, 0x68, 0xb3, 0xa4, 0x5a, 0x7d, 0x5f, 0xab, 0xff, 0x31, + 0x42, 0xd0, 0x56, 0x6e, 0x27, 0x38, 0x80, 0xe6, 0x09, 0x76, 0x40, 0x4a, + 0xaa, 0x6e, 0x0a, 0x4f, 0x10, 0x6d, 0x2d, 0x5e, 0xf7, 0x3b, 0x5f, 0x1c, + 0xe7, 0xde, 0xc5, 0x71, 0x87, 0x38, 0xc2, 0xf2, 0x1e, 0x31, 0x1d, 0xfc, + 0x37, 0x38, 0x6a, 0x6b, 0x17, 0x70, 0x2f, 0x08, 0xce, 0x99, 0xec, 0x98, + 0x7f, 0x9d, 0xe6, 0x15, 0x1c, 0xe2, 0x37, 0xfe, 0xe5, 0x44, 0x56, 0x94, + 0x51, 0x74, 0x54, 0x6b, 0xf3, 0x04, 0x06, 0xd7, 0xce, 0xec, 0x64, 0x20, + 0xb3, 0x42, 0x33, 0x43, 0x15, 0xc0, 0x9d, 0xb6, 0x63, 0x3b, 0x13, 0xb5, + 0x06, 0xcb, 0x07, 0x32, 0x9f, 0x6f, 0xfa, 0xb4, 0x02, 0x4e, 0x96, 0x93, + 0x45, 0xe5, 0x05, 0x3c, 0x95, 0x5a, 0x50, 0x59, 0x8c, 0x25, 0x75, 0x35, + 0x69, 0x0a, 0x66, 0xa3, 0xc2, 0xcf, 0xc3, 0x6b, 0xef, 0x55, 0x0f, 0x07, + 0x38, 0x89, 0xf6, 0x7f, 0x3e, 0x34, 0xdf, 0x91, 0x78, 0x30, 0xa8, 0x4b, + 0xbb, 0xe1, 0x15, 0x98, 0xc4, 0x88, 0xeb, 0x04, 0x58, 0xea, 0x67, 0x5d, + 0x50, 0x0b, 0x4e, 0x15, 0xc5, 0x9f, 0x0b, 0xec, 0x75, 0x70, 0xf8, 0x90, + 0x3f, 0x9f, 0x3b, 0x4f, 0x97, 0xa3, 0x61, 0xd7, 0xe2, 0x5d, 0x64, 0xb1, + 0xfb, 0xdd, 0xcc, 0x36, 0xb0, 0x0b, 0x02, 0x0a, 0x61, 0x76, 0x97, 0x61, + 0x80, 0x27, 0xc7, 0xce, 0xe3, 0x6c, 0xe6, 0xe0, 0xd5, 0xa7, 0x33, 0xf6, + 0xfc, 0x69, 0x31, 0x09, 0xfd, 0x08, 0x98, 0xdd, 0x84, 0x6e, 0xa7, 0x44, + 0xa5, 0x7f, 0x83, 0xc4, 0xda, 0xb6, 0x61, 0xff, 0x3b, 0x36, 0x88, 0x26, + 0x0f, 0x08, 0x2a, 0x91, 0x4a, 0xff, 0x04, 0xd2, 0xb7, 0x39, 0x86, 0x15, +}; + +/* q=(p-1)/2 for prime prime_weak_8192 */ +static const unsigned char sub2_prime_weak_8192[] = { + 0x49, 0xef, 0xb6, 0x9b, 0xee, 0x15, 0x52, 0x55, 0xae, 0xee, 0x39, 0xa1, + 0x09, 0x0c, 0x47, 0x9c, 0xa3, 0xb9, 0xfa, 0x9f, 0x5e, 0x37, 0x06, 0x95, + 0x34, 0x2e, 0xa9, 0xa7, 0x91, 0x46, 0x54, 0x54, 0x25, 0x56, 0x35, 0x30, + 0x2a, 0x65, 0x0d, 0x3a, 0xed, 0x42, 0x81, 0x2f, 0x40, 0x5d, 0xcd, 0xad, + 0x3a, 0x4b, 0x34, 0xe1, 0x3e, 0x42, 0x0f, 0xbb, 0x06, 0xa9, 0xf2, 0x05, + 0x99, 0x79, 0xa5, 0xfb, 0x49, 0x2d, 0x96, 0x4c, 0x2e, 0xd4, 0xb0, 0x6e, + 0x0b, 0xad, 0xfd, 0xda, 0x87, 0x1c, 0x57, 0x31, 0x8b, 0x3c, 0xd2, 0x62, + 0xbb, 0x3a, 0x10, 0x4b, 0xad, 0xee, 0x54, 0xc4, 0x68, 0x8a, 0x23, 0x1f, + 0x0e, 0xf3, 0x65, 0x5a, 0x9c, 0x2b, 0xfe, 0xf5, 0xb3, 0x15, 0x7d, 0x46, + 0x18, 0x03, 0xf5, 0x5a, 0x5e, 0x3c, 0x99, 0x8a, 0x6f, 0xc7, 0x8e, 0xb0, + 0x23, 0xe3, 0x91, 0xec, 0xbf, 0xf1, 0x8e, 0x4a, 0x54, 0xdd, 0x96, 0x8d, + 0x9b, 0xb2, 0x10, 0x67, 0xb4, 0x29, 0x1c, 0xec, 0xb7, 0x91, 0xa8, 0x59, + 0x33, 0xe4, 0x23, 0xd5, 0x1c, 0xcb, 0x69, 0x7e, 0xcd, 0xce, 0x43, 0x38, + 0xec, 0x3e, 0x33, 0xda, 0xbd, 0x4e, 0xa7, 0xfc, 0x47, 0x9a, 0x32, 0x65, + 0xed, 0xc2, 0x88, 0xcb, 0xc3, 0x7b, 0xd0, 0x8c, 0x95, 0x08, 0x3d, 0x79, + 0x0a, 0x8d, 0x86, 0x37, 0x32, 0x78, 0x8c, 0x29, 0xfc, 0xcd, 0x6e, 0xbe, + 0x06, 0xbe, 0x1e, 0x9c, 0xce, 0x51, 0xe2, 0xfc, 0x34, 0x37, 0xda, 0x1a, + 0xfc, 0x0e, 0xdc, 0x64, 0x55, 0xf5, 0x2c, 0x79, 0xdd, 0xbc, 0x79, 0xf1, + 0x53, 0x0b, 0x59, 0xa5, 0x05, 0x2b, 0x2d, 0xa2, 0x56, 0x65, 0xb3, 0x2e, + 0xd1, 0xb1, 0x38, 0xc8, 0x82, 0xea, 0x4b, 0xb9, 0x19, 0xbb, 0xa1, 0x98, + 0x9a, 0xce, 0x21, 0xdc, 0x6a, 0xc2, 0xed, 0xc7, 0x14, 0x65, 0x94, 0xcc, + 0x5b, 0xff, 0x35, 0x7b, 0x04, 0x44, 0xc1, 0x7e, 0x73, 0x2e, 0xb1, 0x34, + 0x2a, 0xd6, 0x1d, 0xce, 0xc1, 0x66, 0x83, 0x08, 0x29, 0xc9, 0x8e, 0xb3, + 0x35, 0x67, 0x31, 0x96, 0x24, 0x9b, 0x79, 0x86, 0x8e, 0x1f, 0x92, 0x68, + 0x3f, 0xd9, 0x50, 0x67, 0xbb, 0x15, 0x0b, 0x51, 0x37, 0xb5, 0xfa, 0x7f, + 0x5a, 0xe5, 0x4c, 0xa2, 0x3e, 0x7e, 0x1d, 0xe0, 0xf2, 0x04, 0xfa, 0xbd, + 0xb6, 0xb6, 0x50, 0x8a, 0x88, 0x00, 0x26, 0x3a, 0xa6, 0x95, 0x40, 0x4a, + 0xc8, 0x4d, 0x0a, 0xaf, 0x3b, 0x94, 0x47, 0x41, 0xa0, 0x42, 0x8f, 0x96, + 0xb8, 0x0b, 0xd0, 0x58, 0x3e, 0xf2, 0xfd, 0x40, 0xa8, 0xdf, 0x5a, 0x0b, + 0x7b, 0x2a, 0x4f, 0x87, 0x51, 0xf1, 0x0f, 0x2f, 0x4d, 0x8e, 0x6d, 0x07, + 0x4f, 0xc9, 0xae, 0x7a, 0x21, 0xde, 0xce, 0x0f, 0x0b, 0x33, 0xda, 0xa1, + 0x4a, 0x38, 0x7c, 0x3c, 0x86, 0x16, 0xa4, 0x60, 0x92, 0x62, 0xe3, 0x54, + 0xb2, 0x06, 0x22, 0x76, 0x4c, 0xd7, 0x5a, 0xf3, 0xe0, 0x92, 0x45, 0x36, + 0x68, 0xd1, 0x5f, 0xa6, 0x35, 0x85, 0xf4, 0xf8, 0x4c, 0x1e, 0xe3, 0xce, + 0x70, 0xc6, 0x8d, 0x6f, 0x62, 0x22, 0x21, 0xe3, 0x5f, 0x9c, 0x31, 0x12, + 0xc8, 0xa1, 0x42, 0x00, 0x94, 0x65, 0xc0, 0x5e, 0x1c, 0xa6, 0x61, 0x9f, + 0xfb, 0x6f, 0xf0, 0xf3, 0x64, 0xbb, 0x9a, 0xab, 0x97, 0xc4, 0xce, 0xfd, + 0x57, 0x9b, 0xeb, 0x19, 0xb8, 0x9a, 0x7f, 0xa9, 0x14, 0x59, 0x9e, 0x4b, + 0x34, 0x08, 0x09, 0x64, 0xdf, 0x0c, 0x01, 0xe6, 0xf7, 0x93, 0x85, 0x68, + 0xe4, 0x87, 0x24, 0x80, 0x91, 0x39, 0xed, 0xaf, 0x88, 0xba, 0xb6, 0xf5, + 0x0b, 0x6d, 0x13, 0x3f, 0x9f, 0x3e, 0x65, 0xb1, 0x67, 0xe6, 0x46, 0xeb, + 0x75, 0x67, 0x13, 0x22, 0x52, 0x3a, 0x2a, 0x27, 0x15, 0x8a, 0xdd, 0x4e, + 0xd0, 0x9c, 0xf4, 0x7e, 0xf0, 0x14, 0xf8, 0x6b, 0xd5, 0x18, 0x35, 0xeb, + 0x8a, 0x1e, 0x50, 0x02, 0x5e, 0x76, 0xc1, 0x65, 0xe4, 0xed, 0xa7, 0x90, + 0x02, 0xb7, 0x22, 0xbc, 0xee, 0xad, 0x9e, 0xaf, 0x77, 0x78, 0xe1, 0xd5, + 0x59, 0xe9, 0x9d, 0x23, 0xd6, 0x71, 0x89, 0x50, 0xea, 0xfa, 0x12, 0x72, + 0xb6, 0x72, 0x4f, 0xda, 0x65, 0x4b, 0x24, 0xa8, 0x9b, 0x1d, 0xd2, 0x51, + 0x6b, 0x17, 0x21, 0x11, 0x99, 0x46, 0x64, 0x41, 0xf5, 0x0a, 0x68, 0x84, + 0x04, 0xc7, 0xed, 0xa6, 0x61, 0x00, 0x22, 0x03, 0x40, 0xea, 0x08, 0xae, + 0x95, 0x8f, 0x1b, 0xc0, 0x55, 0x5c, 0xc4, 0x7d, 0x55, 0xe9, 0x3b, 0x17, + 0x01, 0xdc, 0x1d, 0x85, 0xfe, 0x00, 0xcb, 0x71, 0xb1, 0x00, 0x38, 0x89, + 0xf4, 0x7d, 0xbc, 0x67, 0x1c, 0x83, 0x50, 0xa2, 0x6e, 0xb0, 0xb5, 0x2b, + 0x59, 0x66, 0xe5, 0xf6, 0x33, 0x92, 0x14, 0x3e, 0x9c, 0xc0, 0x1b, 0xe5, + 0xca, 0xa4, 0xcb, 0x74, 0x9f, 0xdb, 0xc4, 0xf5, 0x88, 0xbe, 0x1a, 0x24, + 0x9b, 0x16, 0x76, 0x41, 0x5b, 0x1e, 0x54, 0xcd, 0x69, 0xdc, 0x55, 0xdc, + 0x94, 0x17, 0xcb, 0xb8, 0x82, 0x54, 0x43, 0x15, 0xa1, 0xdb, 0x13, 0xa8, + 0xc5, 0x70, 0x51, 0xcc, 0x73, 0x99, 0x99, 0x7f, 0x0c, 0x5c, 0x9c, 0x4a, + 0xbc, 0x0b, 0xdf, 0x21, 0xd0, 0x04, 0x45, 0x82, 0xc6, 0xab, 0x6b, 0xa7, + 0x30, 0x80, 0x80, 0x02, 0x89, 0x36, 0x89, 0xca, 0xf5, 0x67, 0x6e, 0x5f, + 0xe2, 0x3a, 0x10, 0x44, 0x94, 0x02, 0xe9, 0x4b, 0xe1, 0x9a, 0x92, 0x36, + 0xa1, 0xee, 0xf1, 0x4f, 0x8a, 0xc0, 0x77, 0x6e, 0xe6, 0xc5, 0x44, 0x62, + 0xc9, 0x6d, 0x0e, 0xec, 0xe8, 0x5c, 0x7e, 0x8c, 0x66, 0x2c, 0x0d, 0xe5, + 0x1d, 0xe6, 0x4f, 0x66, 0xa9, 0xb0, 0xb4, 0x7a, 0xdd, 0x96, 0x81, 0x2a, + 0x95, 0xc9, 0xcf, 0x8c, 0x0b, 0x90, 0x58, 0xaa, 0x70, 0x7f, 0x1f, 0x35, + 0x08, 0x3f, 0xf7, 0x30, 0x3e, 0x65, 0x8a, 0x41, 0x34, 0x76, 0x84, 0x03, + 0xf3, 0x9a, 0x56, 0x93, 0xb7, 0xed, 0x2b, 0xf1, 0x53, 0xa5, 0xbf, 0x3d, + 0x17, 0x4a, 0xc4, 0x2c, 0x1e, 0xf3, 0xee, 0x51, 0xf9, 0x74, 0xfa, 0xca, + 0xfe, 0x8e, 0x2f, 0xcf, 0x2e, 0x06, 0x74, 0x1b, 0x6a, 0x84, 0x9a, 0xb3, + 0x13, 0xdc, 0x89, 0xc5, 0x07, 0x7d, 0x75, 0xd3, 0x2d, 0xeb, 0x03, 0xa6, + 0xe7, 0x86, 0xc8, 0x38, 0xd0, 0xf2, 0xac, 0x0f, 0x13, 0xb4, 0xb2, 0x0c, + 0x11, 0x03, 0xc5, 0x15, 0x74, 0x84, 0x00, 0x01, 0x45, 0x2c, 0x1c, 0x40, + 0x82, 0xec, 0x73, 0xae, 0x9e, 0xf4, 0x15, 0x8b, 0xfd, 0x14, 0xae, 0x75, + 0xc9, 0x86, 0x07, 0x94, 0xb4, 0x10, 0xc9, 0xb1, 0x79, 0x70, 0xa2, 0x1c, + 0x34, 0x90, 0xab, 0xc3, 0x38, 0xb5, 0x9e, 0x89, 0x27, 0x14, 0x6d, 0x85, + 0xea, 0x16, 0x62, 0xf4, 0x2f, 0xcd, 0xe9, 0x13, 0x04, 0x22, 0xd2, 0x59, + 0x58, 0xaf, 0x68, 0x8c, 0x1f, 0x31, 0x46, 0xbb, 0xd0, 0x31, 0x03, 0xba, + 0x86, 0x34, 0x3f, 0xd5, 0xe9, 0x16, 0x76, 0x47, 0x54, 0xb7, 0x1b, 0x9e, + 0xed, 0x99, 0xbd, 0x25, 0x5d, 0x43, 0x12, 0xa8, 0x35, 0x1b, 0x8d, 0xcd, + 0xc8, 0x8d, 0x2f, 0xc9, 0x90, 0xf5, 0x48, 0xee, 0x32, 0x5b, 0x03, 0xa2, + 0x1a, 0x3c, 0xb5, 0x35, 0x21, 0x27, 0x79, 0xf1, 0x51, 0x35, 0xff, 0xe6, + 0xeb, 0xe2, 0xb4, 0xdc, 0xc0, 0xbe, 0x9a, 0x5a, 0x2d, 0xdb, 0x41, 0xe1, + 0xb5, 0xcd, 0x70, 0x97, 0x2f, 0x1a, 0x00, 0x90, 0xf5, 0x9b, 0xe6, 0x62, + 0xaf, 0xbf, 0xd0, 0x6f, 0x07, 0xbc, 0xdb, 0xe1, 0x9d, 0xc2, 0x3e, 0xf4, + 0x4b, 0x7e, 0x99, 0x23, 0xbc, 0x1f, 0x11, 0x64, 0x4c, 0x67, 0x3d, 0x77, + 0x8e, 0xd3, 0x04, 0x9d, 0x7f, 0xfb, 0xb4, 0x6c, 0xdc, 0x74, 0xbf, 0x45, + 0x76, 0x11, 0x80, 0xcb, +}; +#endif + +/* Public keys in known small subgroups - fails in all modes */ +static const unsigned char pub_key_zero[] = {0}; +static const unsigned char pub_key_one[] = {1}; + +static const unsigned char pub_key_minus_1_ike_1536[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x23, 0x73, 0x27, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE}; + +static const unsigned char pub_key_minus_1_safe_2048[] = { + 0xe1, 0xa3, 0x6e, 0x49, 0x69, 0x07, 0x1c, 0x5f, 0xb4, 0x15, 0x35, 0x46, + 0x99, 0x52, 0xd0, 0x4e, 0xff, 0x4e, 0x4c, 0xb1, 0xe1, 0x59, 0xed, 0x2e, + 0x71, 0xf3, 0x80, 0x14, 0x54, 0xd0, 0xfc, 0x83, 0x20, 0x29, 0x15, 0x21, + 0xa6, 0x5f, 0x10, 0x81, 0x57, 0xf4, 0x2e, 0x49, 0xb2, 0xd1, 0x37, 0xe8, + 0x6a, 0xbf, 0x72, 0xf9, 0x55, 0x4e, 0x9e, 0xae, 0x20, 0xc5, 0xb6, 0xc5, + 0x91, 0x79, 0x0d, 0xa2, 0xdd, 0xb4, 0xbb, 0x50, 0x4e, 0x20, 0xca, 0x8a, + 0x8f, 0x82, 0x34, 0xb9, 0x6a, 0x3e, 0x9a, 0x67, 0xc2, 0x7e, 0x83, 0xf6, + 0xc0, 0xad, 0xe3, 0xca, 0x00, 0xd6, 0x11, 0x88, 0x9c, 0xc7, 0x9f, 0xb4, + 0x3d, 0x53, 0xa5, 0x5a, 0x97, 0x44, 0x4d, 0xe7, 0x5c, 0xd5, 0x76, 0x80, + 0xf8, 0x0c, 0xcd, 0xa6, 0x55, 0xe2, 0x5f, 0xcf, 0xf4, 0x46, 0xa4, 0xc7, + 0x0f, 0xc1, 0x80, 0x84, 0x65, 0x46, 0x8c, 0x87, 0xd2, 0x99, 0x82, 0xdf, + 0x8e, 0x00, 0x89, 0xf3, 0x0d, 0xd5, 0xc0, 0x54, 0x94, 0xc6, 0xa3, 0x92, + 0x0f, 0x91, 0x10, 0xee, 0xa3, 0x65, 0x44, 0xb7, 0x6d, 0xe8, 0x23, 0xf9, + 0x7f, 0x91, 0x62, 0x65, 0x09, 0x8e, 0xa1, 0x33, 0xd4, 0xd6, 0x55, 0x0a, + 0xc0, 0xe8, 0x66, 0x70, 0x05, 0xd0, 0x12, 0x34, 0xc1, 0xfd, 0xce, 0x75, + 0xa4, 0x75, 0xe1, 0x46, 0xa1, 0x08, 0xb4, 0x52, 0xfe, 0x25, 0xa4, 0xc5, + 0x4f, 0x23, 0x04, 0x7e, 0xa1, 0x2c, 0xf3, 0x56, 0xcb, 0xfa, 0x7a, 0xbc, + 0x45, 0xcc, 0x78, 0xb3, 0x28, 0xf3, 0xe5, 0xd5, 0x26, 0x56, 0x27, 0x86, + 0x6a, 0x56, 0x6b, 0x87, 0x56, 0x0e, 0xc4, 0x3c, 0xed, 0xff, 0xcb, 0x96, + 0xb4, 0x13, 0x1d, 0x4d, 0x38, 0x4e, 0x69, 0x34, 0x51, 0x7a, 0x85, 0x31, + 0xb4, 0x80, 0xda, 0x41, 0xe3, 0xdc, 0x2e, 0x53, 0xd8, 0x71, 0x3e, 0xcc, + 0x37, 0x8a, 0x80, 0x32}; + +static const unsigned char pub_key_minus_1_weak_3072[] = { + 0x94, 0x32, 0xc7, 0x47, 0x51, 0xa3, 0x03, 0x9b, 0xf2, 0x51, 0x5c, 0x69, + 0xaf, 0x05, 0x3c, 0x76, 0x62, 0xa2, 0xec, 0x5a, 0xcc, 0xdf, 0x80, 0xf3, + 0x2d, 0xce, 0xa5, 0xa5, 0x9e, 0x2d, 0xab, 0x5f, 0x91, 0xbd, 0x93, 0x61, + 0xd7, 0x7b, 0x71, 0x6f, 0xf3, 0x92, 0xbf, 0xa8, 0xfc, 0xcd, 0x00, 0xf5, + 0x49, 0x08, 0x00, 0x8c, 0xd2, 0xfe, 0x4a, 0xd8, 0x2b, 0x6e, 0x42, 0xc0, + 0xd8, 0xa2, 0x8b, 0x2b, 0x18, 0x02, 0xad, 0xe8, 0x4e, 0x44, 0x09, 0x26, + 0xa1, 0xa1, 0xca, 0x99, 0xe3, 0xd9, 0x9a, 0x87, 0x3c, 0x83, 0x6a, 0x1a, + 0x7b, 0x60, 0xba, 0x78, 0x0c, 0x79, 0x50, 0x1f, 0xde, 0x40, 0x14, 0x58, + 0x18, 0xa9, 0x2b, 0x74, 0x11, 0xb4, 0x65, 0xfe, 0x9d, 0x03, 0xa4, 0xef, + 0xdf, 0x74, 0x8e, 0xcd, 0x7b, 0xd4, 0xf3, 0x28, 0x75, 0xb2, 0x31, 0xef, + 0x99, 0x65, 0xcb, 0x5a, 0x77, 0xca, 0xa2, 0x25, 0x28, 0xae, 0xfa, 0x9f, + 0xeb, 0xda, 0xcc, 0x34, 0x7b, 0x21, 0xd7, 0xdb, 0x54, 0x40, 0xe6, 0x2f, + 0xdb, 0xc0, 0xce, 0xdc, 0xe5, 0xc9, 0x27, 0x97, 0x99, 0x9c, 0x02, 0x4f, + 0x24, 0x88, 0x93, 0xdf, 0xa9, 0xc7, 0x3e, 0x10, 0xc8, 0xaa, 0x6a, 0xce, + 0xda, 0x46, 0x94, 0x8c, 0xad, 0x1e, 0xf1, 0xcb, 0xd3, 0xcd, 0x43, 0x44, + 0xb4, 0x20, 0x91, 0x9e, 0xf6, 0xd1, 0x03, 0xef, 0xc2, 0x04, 0xf7, 0x07, + 0xdb, 0xac, 0xa2, 0x28, 0x8c, 0x7d, 0x1d, 0x5d, 0x2c, 0x5a, 0xfc, 0x26, + 0x5b, 0x0b, 0x58, 0xb9, 0x9a, 0x47, 0xe9, 0xa0, 0xdf, 0xa5, 0x5a, 0xf3, + 0xe5, 0xd6, 0xeb, 0x69, 0xb5, 0x4e, 0xbc, 0x71, 0xc0, 0xd6, 0x9b, 0xb8, + 0x40, 0x3b, 0xc5, 0x72, 0x5d, 0x4d, 0x1b, 0x17, 0x3d, 0x36, 0xa4, 0xb1, + 0x15, 0xa7, 0x9a, 0x72, 0xeb, 0xf2, 0x9e, 0x40, 0xd1, 0xbc, 0x35, 0xc7, + 0xd1, 0x1a, 0x8f, 0x1c, 0x2b, 0x5e, 0xd8, 0xb3, 0x3b, 0x44, 0xae, 0xf5, + 0x81, 0xd0, 0x8a, 0x37, 0xab, 0xba, 0x22, 0xbc, 0x2d, 0x88, 0x2f, 0x24, + 0xbb, 0xb0, 0x1a, 0xa9, 0x5f, 0x07, 0x10, 0x6d, 0xc6, 0xbb, 0x3c, 0xa2, + 0x66, 0xf9, 0xb9, 0x95, 0xd6, 0x5e, 0x8c, 0xce, 0x04, 0xdc, 0xb3, 0x4c, + 0xbc, 0xe9, 0xc5, 0xcb, 0x19, 0x97, 0xe2, 0xa1, 0x09, 0x38, 0xd7, 0x82, + 0xa6, 0xbf, 0xc9, 0x15, 0x25, 0xf1, 0x2c, 0x77, 0xfc, 0xbd, 0xfa, 0x7f, + 0x92, 0xfe, 0xd6, 0x31, 0x03, 0x23, 0x2d, 0x17, 0x2f, 0x51, 0x9e, 0x5c, + 0xb1, 0x68, 0xc0, 0x3f, 0x42, 0x99, 0x00, 0x55, 0x33, 0x68, 0xd7, 0xee, + 0x51, 0x7d, 0x3e, 0x03, 0x4f, 0x02, 0x5f, 0x27, 0xdd, 0x17, 0x18, 0x6c, + 0x1e, 0x9d, 0x91, 0x65, 0xf8, 0xd7, 0xa6, 0x9f, 0xa1, 0xba, 0xa8, 0x76, + 0xe4, 0xd8, 0xf4, 0x59, 0x90, 0x16, 0x67, 0x88, 0xc2, 0xa9, 0xe4, 0x2c}; + +static const unsigned char pub_key_minus_1_weak_4096[] = { + 0xff, 0x50, 0xd3, 0xcc, 0x89, 0x17, 0x5e, 0xb6, 0xf8, 0xa3, 0xb0, 0xe2, + 0xf9, 0x9f, 0x17, 0xa1, 0x92, 0x56, 0x15, 0x13, 0x12, 0x9f, 0x18, 0xdc, + 0x07, 0x00, 0xc2, 0x49, 0xc9, 0xd9, 0xd4, 0x0a, 0xe3, 0xd7, 0xf6, 0x60, + 0x21, 0xa9, 0x7b, 0xc0, 0x0f, 0x0e, 0xae, 0x3e, 0x77, 0x77, 0x48, 0xd8, + 0xfd, 0x42, 0xec, 0xb5, 0xae, 0x00, 0xab, 0xce, 0xd1, 0x11, 0xca, 0xd2, + 0x64, 0x5a, 0xa3, 0x6b, 0xba, 0xd1, 0x93, 0xea, 0xda, 0xd2, 0xa0, 0x60, + 0x39, 0x0b, 0x34, 0x4f, 0x0c, 0xf1, 0xb0, 0x52, 0x75, 0x51, 0x3d, 0x28, + 0x02, 0xb5, 0xbd, 0x42, 0x98, 0x20, 0xa7, 0x42, 0xb9, 0x21, 0x9a, 0xae, + 0xb6, 0x41, 0x7b, 0x70, 0xe3, 0xd9, 0xaf, 0x81, 0x1a, 0xc1, 0x39, 0x9c, + 0x52, 0x56, 0xcb, 0x0d, 0x6a, 0x67, 0x6f, 0x3d, 0x12, 0x76, 0x73, 0x53, + 0x95, 0x2d, 0xc1, 0x04, 0xdb, 0x83, 0xe4, 0xd0, 0xbe, 0x2d, 0xa6, 0x7a, + 0x0f, 0x80, 0x1b, 0xd0, 0x16, 0x14, 0x3a, 0xe0, 0x48, 0xfa, 0xf5, 0x44, + 0xa8, 0xe0, 0xbf, 0x98, 0xe1, 0x56, 0xea, 0x76, 0xb6, 0xe2, 0xa3, 0x5b, + 0x15, 0x79, 0x10, 0xb0, 0x41, 0xdc, 0x29, 0x0f, 0x1e, 0x37, 0x69, 0xcd, + 0x13, 0xbe, 0x2d, 0xe0, 0x73, 0x38, 0x68, 0xed, 0x50, 0x6a, 0xd0, 0xfb, + 0xcb, 0x17, 0x3a, 0x59, 0xfb, 0xec, 0xba, 0x75, 0xb6, 0x4e, 0x2f, 0x6e, + 0x97, 0x98, 0x0e, 0x79, 0x25, 0xdd, 0xd8, 0xf5, 0x34, 0xb4, 0xa0, 0x7e, + 0xba, 0x68, 0x7c, 0x4f, 0xfb, 0xe0, 0x97, 0x46, 0x50, 0x1e, 0x4a, 0x59, + 0x9c, 0xdc, 0x34, 0xe2, 0x2a, 0xb5, 0xc8, 0x58, 0x94, 0x48, 0x9f, 0xb8, + 0x36, 0xcb, 0xce, 0x36, 0xb1, 0x7c, 0xe5, 0x8d, 0x5b, 0x43, 0xd7, 0x88, + 0xdf, 0xae, 0xd0, 0xc9, 0x42, 0x5f, 0x0a, 0xe3, 0x63, 0x11, 0xc5, 0x0c, + 0x80, 0x55, 0x58, 0xd7, 0xf2, 0x51, 0x6e, 0xb3, 0x7e, 0x9d, 0x1c, 0xc3, + 0x61, 0x59, 0x5c, 0x47, 0xd4, 0x99, 0xc0, 0x67, 0xfb, 0xb2, 0xd6, 0x11, + 0xda, 0x92, 0x5b, 0x6b, 0xd2, 0x70, 0xb7, 0x69, 0x72, 0xe7, 0x06, 0xdd, + 0x40, 0xac, 0x81, 0x51, 0x1d, 0x52, 0x7a, 0x45, 0x38, 0x89, 0x27, 0x2c, + 0xc4, 0x4b, 0x7e, 0x5e, 0x79, 0xef, 0x84, 0x6a, 0x24, 0x4d, 0x9c, 0x9e, + 0xca, 0x75, 0x5c, 0x06, 0x6d, 0xd0, 0x52, 0xe9, 0xda, 0x9f, 0x46, 0xb6, + 0x62, 0x1d, 0xb3, 0xd9, 0xf2, 0x7d, 0xd6, 0xc2, 0x7a, 0x49, 0x7c, 0xdd, + 0x9b, 0xaa, 0xc3, 0x84, 0x0b, 0x08, 0x33, 0xb8, 0x80, 0xc3, 0x12, 0x8f, + 0xad, 0xac, 0x0f, 0x7f, 0xaf, 0x59, 0x61, 0x0d, 0x98, 0xc1, 0xf9, 0x68, + 0xc3, 0x1b, 0x10, 0x08, 0xc4, 0x33, 0x3c, 0xa4, 0xe2, 0xd5, 0xeb, 0x71, + 0x5d, 0x19, 0x7e, 0x05, 0xca, 0x9a, 0xf5, 0xbb, 0x71, 0x55, 0x83, 0x9c, + 0x25, 0x50, 0x35, 0x7f, 0x2d, 0xeb, 0xf2, 0x0d, 0xed, 0x3c, 0xb8, 0x71, + 0xbd, 0x08, 0xf5, 0x89, 0x7e, 0x5e, 0x38, 0x40, 0xd7, 0xed, 0x77, 0x8d, + 0x7a, 0xed, 0x2a, 0x9f, 0xfc, 0x01, 0xf4, 0xe2, 0xcf, 0xda, 0x8c, 0xa3, + 0x57, 0xdc, 0x14, 0xd6, 0xa1, 0xd9, 0x97, 0xb9, 0xe6, 0xfc, 0x48, 0x75, + 0x43, 0xbd, 0x3b, 0x91, 0x17, 0x3c, 0x33, 0xca, 0xce, 0x29, 0x09, 0x1b, + 0xe8, 0x9d, 0xb6, 0x74, 0x05, 0x5e, 0x2e, 0xa5, 0x1d, 0x7f, 0x3a, 0xa9, + 0x2c, 0xf6, 0x4d, 0x41, 0x90, 0xbc, 0x56, 0x18, 0x52, 0x02, 0x90, 0xef, + 0x71, 0xff, 0x3e, 0x0c, 0xf8, 0x00, 0x04, 0x07, 0xd5, 0x20, 0x26, 0xdd, + 0x5c, 0xb1, 0x37, 0x03, 0x20, 0x0c, 0xb4, 0xb6, 0x39, 0x49, 0x49, 0xaa, + 0xe7, 0x98, 0x01, 0xa2, 0x2e, 0x0a, 0x33, 0x82, 0x9e, 0xb9, 0x24, 0xb7, + 0x80, 0xdf, 0xd3, 0xdf, 0x04, 0xe4, 0x50, 0x9d}; + +static const unsigned char pub_key_minus_1_tls_6144[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B, + 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, + 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26, + 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, + 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93, + 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, + 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB, + 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, + 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42, + 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, + 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B, + 0x66, 0x9E, 0x1E, 0xF1, 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, + 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, 0xAC, 0x7D, 0x5F, 0x42, + 0xD6, 0x9F, 0x6D, 0x18, 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, + 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, 0x71, 0x35, 0xC8, 0x86, + 0xEF, 0xB4, 0x31, 0x8A, 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, + 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, 0x6D, 0xC7, 0x78, 0xF9, + 0x71, 0xAD, 0x00, 0x38, 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, + 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, 0x2A, 0x4E, 0xCE, 0xA9, + 0xF9, 0x8D, 0x0A, 0xCC, 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, + 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, 0x4D, 0xB5, 0xA8, 0x51, + 0xF4, 0x41, 0x82, 0xE1, 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x0D, 0xD9, 0x02, + 0x0B, 0xFD, 0x64, 0xB6, 0x45, 0x03, 0x6C, 0x7A, 0x4E, 0x67, 0x7D, 0x2C, + 0x38, 0x53, 0x2A, 0x3A, 0x23, 0xBA, 0x44, 0x42, 0xCA, 0xF5, 0x3E, 0xA6, + 0x3B, 0xB4, 0x54, 0x32, 0x9B, 0x76, 0x24, 0xC8, 0x91, 0x7B, 0xDD, 0x64, + 0xB1, 0xC0, 0xFD, 0x4C, 0xB3, 0x8E, 0x8C, 0x33, 0x4C, 0x70, 0x1C, 0x3A, + 0xCD, 0xAD, 0x06, 0x57, 0xFC, 0xCF, 0xEC, 0x71, 0x9B, 0x1F, 0x5C, 0x3E, + 0x4E, 0x46, 0x04, 0x1F, 0x38, 0x81, 0x47, 0xFB, 0x4C, 0xFD, 0xB4, 0x77, + 0xA5, 0x24, 0x71, 0xF7, 0xA9, 0xA9, 0x69, 0x10, 0xB8, 0x55, 0x32, 0x2E, + 0xDB, 0x63, 0x40, 0xD8, 0xA0, 0x0E, 0xF0, 0x92, 0x35, 0x05, 0x11, 0xE3, + 0x0A, 0xBE, 0xC1, 0xFF, 0xF9, 0xE3, 0xA2, 0x6E, 0x7F, 0xB2, 0x9F, 0x8C, + 0x18, 0x30, 0x23, 0xC3, 0x58, 0x7E, 0x38, 0xDA, 0x00, 0x77, 0xD9, 0xB4, + 0x76, 0x3E, 0x4E, 0x4B, 0x94, 0xB2, 0xBB, 0xC1, 0x94, 0xC6, 0x65, 0x1E, + 0x77, 0xCA, 0xF9, 0x92, 0xEE, 0xAA, 0xC0, 0x23, 0x2A, 0x28, 0x1B, 0xF6, + 0xB3, 0xA7, 0x39, 0xC1, 0x22, 0x61, 0x16, 0x82, 0x0A, 0xE8, 0xDB, 0x58, + 0x47, 0xA6, 0x7C, 0xBE, 0xF9, 0xC9, 0x09, 0x1B, 0x46, 0x2D, 0x53, 0x8C, + 0xD7, 0x2B, 0x03, 0x74, 0x6A, 0xE7, 0x7F, 0x5E, 0x62, 0x29, 0x2C, 0x31, + 0x15, 0x62, 0xA8, 0x46, 0x50, 0x5D, 0xC8, 0x2D, 0xB8, 0x54, 0x33, 0x8A, + 0xE4, 0x9F, 0x52, 0x35, 0xC9, 0x5B, 0x91, 0x17, 0x8C, 0xCF, 0x2D, 0xD5, + 0xCA, 0xCE, 0xF4, 0x03, 0xEC, 0x9D, 0x18, 0x10, 0xC6, 0x27, 0x2B, 0x04, + 0x5B, 0x3B, 0x71, 0xF9, 0xDC, 0x6B, 0x80, 0xD6, 0x3F, 0xDD, 0x4A, 0x8E, + 0x9A, 0xDB, 0x1E, 0x69, 0x62, 0xA6, 0x95, 0x26, 0xD4, 0x31, 0x61, 0xC1, + 0xA4, 0x1D, 0x57, 0x0D, 0x79, 0x38, 0xDA, 0xD4, 0xA4, 0x0E, 0x32, 0x9C, + 0xD0, 0xE4, 0x0E, 0x65, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE}; + +static const unsigned char pub_key_minus_1_safe_8192[] = { + 0x9b, 0xa7, 0x9b, 0xa2, 0x86, 0x54, 0xe7, 0x99, 0x11, 0x5b, 0x35, 0x81, + 0xd5, 0x7a, 0x8a, 0x6e, 0x4d, 0x4d, 0x61, 0x5d, 0xd3, 0xcf, 0x0c, 0x65, + 0x7e, 0xda, 0xd8, 0xce, 0x28, 0xac, 0xa0, 0x38, 0x81, 0xee, 0xa1, 0x14, + 0x25, 0x21, 0x67, 0x66, 0x3a, 0x6c, 0x0f, 0x80, 0x3d, 0x89, 0x79, 0xfe, + 0x71, 0x43, 0x57, 0xc3, 0xa9, 0x54, 0x1e, 0x20, 0x8a, 0xee, 0x0f, 0xa6, + 0x8b, 0x88, 0x81, 0x3d, 0xe8, 0x5c, 0x40, 0x47, 0x05, 0xdf, 0xd8, 0x6d, + 0x98, 0x65, 0x16, 0xa9, 0xf9, 0xc4, 0x8c, 0x02, 0xba, 0xae, 0x6b, 0x36, + 0x76, 0xc9, 0xfa, 0x8e, 0xd0, 0xd7, 0x9a, 0x3c, 0xcb, 0xd1, 0x44, 0x09, + 0xd7, 0x4f, 0x28, 0x51, 0x94, 0x92, 0x5b, 0x02, 0xb2, 0xbd, 0x78, 0xd3, + 0xc2, 0x76, 0x03, 0x15, 0x17, 0x0b, 0x55, 0x08, 0x02, 0x42, 0x9e, 0x26, + 0x56, 0x33, 0x72, 0xe6, 0xbd, 0x0e, 0xf9, 0x3d, 0x2c, 0xb3, 0x8a, 0x4c, + 0x67, 0x17, 0xfd, 0xe9, 0x03, 0xad, 0x8c, 0x34, 0x84, 0xe5, 0x83, 0xdf, + 0x9c, 0x04, 0x93, 0x03, 0x26, 0x19, 0xc1, 0xf1, 0x24, 0x68, 0xf6, 0x54, + 0x96, 0xce, 0x38, 0x51, 0xbd, 0x6c, 0x3d, 0x9c, 0x0c, 0xd8, 0x6e, 0x13, + 0x4c, 0x8b, 0xf6, 0x34, 0xae, 0xd8, 0x85, 0x1d, 0x1d, 0x8e, 0xc2, 0xad, + 0xab, 0xa2, 0xc5, 0x40, 0x76, 0x7f, 0x2f, 0x2e, 0x38, 0xf4, 0x6a, 0x39, + 0x33, 0x3d, 0x17, 0xce, 0x1f, 0xe9, 0xc3, 0x8d, 0x9e, 0xe5, 0xbe, 0xd6, + 0xad, 0x9a, 0x23, 0xd8, 0x06, 0xf3, 0x7c, 0x39, 0xd5, 0xae, 0x57, 0xb6, + 0xe5, 0xc3, 0x9a, 0x8a, 0x8c, 0x6e, 0xd3, 0xc1, 0x1a, 0x64, 0x12, 0x00, + 0x18, 0x53, 0xca, 0x32, 0x88, 0x8e, 0xc0, 0x5f, 0x2d, 0xb2, 0x3d, 0x14, + 0x1b, 0x58, 0x5c, 0x20, 0xe8, 0x52, 0xe5, 0x28, 0x41, 0xbc, 0x9e, 0x08, + 0x29, 0xab, 0xa5, 0x43, 0x99, 0x0e, 0xd7, 0x2a, 0xb9, 0xb8, 0x64, 0x9d, + 0x83, 0xe3, 0x1a, 0x26, 0x59, 0x65, 0xf2, 0x0c, 0xc9, 0xc5, 0x8f, 0x0d, + 0xcf, 0xa1, 0x18, 0xfc, 0x8b, 0x77, 0xe9, 0xe1, 0x19, 0x7b, 0x03, 0xd4, + 0x37, 0x8d, 0x5d, 0x37, 0x2b, 0xad, 0x58, 0x5e, 0x73, 0x72, 0xce, 0x84, + 0xe5, 0xc9, 0x75, 0x1d, 0xf3, 0x58, 0x42, 0x77, 0xfe, 0x53, 0xa0, 0xc2, + 0x66, 0x21, 0xaf, 0xe2, 0x61, 0xd2, 0x84, 0xb3, 0x03, 0x4d, 0xd8, 0x7d, + 0x85, 0xe1, 0xa8, 0xa0, 0x48, 0x5d, 0x1a, 0xa9, 0xac, 0xc1, 0x69, 0x24, + 0xc6, 0xfa, 0xb5, 0x22, 0x3e, 0xa3, 0x8d, 0x35, 0x29, 0xcf, 0x9a, 0xe5, + 0x84, 0x3b, 0x0b, 0x27, 0x36, 0x7e, 0x9d, 0xa6, 0xb0, 0x45, 0x60, 0x42, + 0x1e, 0x4b, 0x24, 0xd1, 0x36, 0x8b, 0x70, 0xd1, 0x95, 0x54, 0x14, 0xb9, + 0x47, 0x3d, 0x8d, 0xe4, 0x5f, 0x81, 0x1a, 0x21, 0x17, 0x17, 0xbf, 0x92, + 0x22, 0x4c, 0x77, 0x30, 0xdc, 0x9c, 0x84, 0xe6, 0x68, 0xcc, 0xd6, 0x11, + 0x04, 0xff, 0x71, 0x86, 0xb3, 0xa9, 0x9b, 0x13, 0x95, 0x35, 0xfd, 0x68, + 0x28, 0x9b, 0x6f, 0x5c, 0xf7, 0x66, 0xa8, 0x6f, 0x89, 0x0f, 0x92, 0xdf, + 0x52, 0x24, 0x3f, 0xdb, 0x2f, 0x40, 0x12, 0x32, 0xa4, 0xff, 0x2e, 0x4b, + 0xb8, 0xa0, 0xe7, 0xc9, 0xcb, 0x98, 0x13, 0xf9, 0xd2, 0xfa, 0x82, 0x68, + 0xb2, 0x8f, 0xd3, 0x17, 0x8c, 0x93, 0xf5, 0x80, 0xe4, 0x5a, 0x33, 0x1b, + 0x6a, 0xd8, 0xbf, 0x37, 0xa7, 0xe1, 0x63, 0x1d, 0x6a, 0xc3, 0xfa, 0xa1, + 0x2f, 0xc1, 0x72, 0x55, 0xd5, 0xe2, 0x67, 0x3b, 0x6b, 0x3a, 0xa8, 0xb0, + 0x54, 0x04, 0x1d, 0xbb, 0xc1, 0xe5, 0x3a, 0x52, 0xb1, 0x67, 0x0b, 0x12, + 0x3e, 0xcd, 0xa9, 0x9a, 0x0e, 0xbb, 0xa3, 0x75, 0x6d, 0x6f, 0x77, 0x74, + 0x64, 0xe3, 0x16, 0x8c, 0xa5, 0xba, 0xec, 0x51, 0x73, 0xce, 0x4b, 0xe6, + 0x6f, 0x3d, 0x15, 0x56, 0x43, 0xe1, 0x17, 0x77, 0x66, 0xab, 0xdc, 0x9d, + 0x9b, 0x10, 0x5d, 0xc4, 0xe9, 0x1e, 0xaa, 0x2d, 0x15, 0xbb, 0xc4, 0x09, + 0x46, 0x30, 0xe1, 0xb8, 0x92, 0x94, 0x5f, 0xb7, 0xe7, 0x7e, 0x97, 0x43, + 0xc0, 0x48, 0x5b, 0xaf, 0xea, 0x74, 0xae, 0x8c, 0x79, 0x6b, 0x66, 0x83, + 0x62, 0x88, 0x17, 0xa4, 0x56, 0x5d, 0x58, 0xfb, 0x6c, 0x38, 0x57, 0x4d, + 0xef, 0xd7, 0x36, 0x44, 0x39, 0x5b, 0xab, 0x94, 0xe4, 0x08, 0x30, 0xd3, + 0x2c, 0x59, 0xa0, 0x32, 0xe2, 0x71, 0x99, 0xec, 0x66, 0x5e, 0xf7, 0xe2, + 0x9c, 0x19, 0x69, 0x72, 0x6f, 0xdb, 0x3e, 0xcc, 0x19, 0x5a, 0xfd, 0xad, + 0xd6, 0x6e, 0x9d, 0x07, 0xc0, 0x65, 0x01, 0x75, 0xdd, 0x37, 0x1b, 0x9c, + 0x5e, 0x93, 0x32, 0xf8, 0x7e, 0x65, 0xd5, 0xb5, 0x15, 0x35, 0xad, 0x05, + 0xb5, 0xd2, 0x25, 0xc7, 0x71, 0x5a, 0xe4, 0xb7, 0x58, 0x6a, 0xc3, 0x5a, + 0xd9, 0xd4, 0xee, 0x32, 0xb5, 0x0b, 0x5b, 0x2a, 0xcd, 0x80, 0xce, 0xd4, + 0x2d, 0xc9, 0x09, 0x94, 0xf5, 0xf2, 0x7c, 0xaf, 0xba, 0x5a, 0xd3, 0xdc, + 0xcd, 0xd7, 0xf7, 0xea, 0x42, 0xe2, 0xc2, 0x34, 0x21, 0xb9, 0x15, 0x24, + 0xe8, 0x32, 0x6b, 0x6f, 0xb0, 0xed, 0x76, 0x5e, 0x45, 0xbf, 0x02, 0xa2, + 0xb8, 0x3c, 0xa5, 0xf5, 0x74, 0xe3, 0x18, 0x89, 0x21, 0x4e, 0xa6, 0x08, + 0xa3, 0xa5, 0x93, 0x69, 0x48, 0x96, 0xbd, 0x47, 0xd3, 0xeb, 0x67, 0x29, + 0xa8, 0xbb, 0xbe, 0x78, 0x05, 0xfa, 0x46, 0x89, 0x4e, 0x0c, 0xe2, 0x6c, + 0xbb, 0xe5, 0xf8, 0xba, 0xe5, 0x5d, 0x29, 0xe7, 0xdd, 0x71, 0x7e, 0x94, + 0xd7, 0x56, 0x0c, 0x3c, 0xde, 0x5f, 0xbc, 0xdc, 0x0f, 0x8e, 0xd6, 0x6f, + 0x0a, 0x07, 0xb8, 0x07, 0x24, 0x62, 0x4c, 0xed, 0x45, 0x4f, 0x0d, 0x9f, + 0x2e, 0x83, 0x6a, 0xeb, 0xbc, 0xff, 0xa9, 0xf2, 0x73, 0xb3, 0x5b, 0xaa, + 0xac, 0xed, 0xac, 0x88, 0xa2, 0x0d, 0x8d, 0x8f, 0xb4, 0xf7, 0x73, 0x1e, + 0xc0, 0x2e, 0xd3, 0x45, 0x15, 0x4b, 0x4a, 0xe7, 0xd4, 0xef, 0xb1, 0xc6, + 0xd3, 0x8f, 0xf8, 0x24, 0x12, 0x33, 0x3e, 0x8e, 0x95, 0xbc, 0x81, 0xb4, + 0xd4, 0xd1, 0x13, 0xbc, 0x7e, 0x25, 0xb4, 0x5b, 0xff, 0x15, 0xba, 0xf8, + 0x9a, 0xec, 0x78, 0xe4, 0x63, 0xc7, 0x26, 0xd5, 0x89, 0x3d, 0x63, 0x5b, + 0x7c, 0x86, 0x63, 0x34, 0x06, 0x28, 0x23, 0x08, 0xff, 0x6d, 0xbd, 0xe0, + 0x75, 0xb3, 0x71, 0x12, 0x26, 0x63, 0xca, 0x93, 0x36, 0x86, 0xeb, 0xf7, + 0x48, 0xd1, 0x96, 0xf4, 0x02, 0x3e, 0x5d, 0x69, 0x75, 0x5e, 0x95, 0xee, + 0x32, 0xb9, 0xba, 0x55, 0xc5, 0x42, 0x74, 0x00, 0xe1, 0x0f, 0x16, 0x05, + 0x62, 0x3c, 0x58, 0xcb, 0xe0, 0xd4, 0xa9, 0xe5, 0x1a, 0x3b, 0x84, 0x7e, + 0x19, 0x87, 0xad, 0x67, 0xcd, 0x9b, 0x97, 0xb0, 0x32, 0xd7, 0xb8, 0x1e, + 0x96, 0x69, 0x75, 0x0f, 0x61, 0x69, 0xb3, 0xc9, 0xce, 0x73, 0x7c, 0x5f, + 0xd5, 0x08, 0xdf, 0xd4, 0x07, 0x75, 0x60, 0xd7, 0x50, 0x52, 0xe7, 0x5c, + 0x6f, 0x04, 0x59, 0x65, 0xbd, 0x70, 0x99, 0x15, 0xf9, 0xbc, 0x34, 0x78, + 0x6a, 0x64, 0xac, 0x5f, 0x07, 0xc2, 0x89, 0x88, 0xfe, 0x11, 0x7a, 0xf7, + 0x3d, 0xbe, 0x83, 0xff, 0xeb, 0x1d, 0x52, 0xbe, 0xd4, 0x09, 0x71, 0x0f, + 0x7c, 0x95, 0x19, 0xf2, 0x4b, 0xf5, 0x44, 0x63, 0xf2, 0xec, 0x3f, 0xf9, + 0xe4, 0xfb, 0xbe, 0x24, 0xb2, 0x18, 0x53, 0xce, 0x16, 0x40, 0x1e, 0x27, + 0x62, 0x99, 0x93, 0xc9, 0x49, 0x8f, 0x98, 0x0d, 0xd8, 0x73, 0x65, 0x99, + 0xac, 0xff, 0xfe, 0x22, 0x6a, 0xd1, 0xfb, 0xa1, 0xe4, 0xe7, 0xab, 0x3c, + 0x72, 0x10, 0xac, 0x72}; + +/* Public keys in small subgroups of weak primes - fails in all modes*/ +static const unsigned char pub_key_bad_weak_1024[] = {3}; +static const unsigned char pub_key_bad_weak_2048[] = {3}; +static const unsigned char pub_key_bad_weak_3072[] = {3}; +static const unsigned char pub_key_bad_weak_4096[] = {3}; +static const unsigned char pub_key_bad_weak_6144[] = {3}; +static const unsigned char pub_key_bad_weak_8192[] = {3}; + +enum DhParamType { + TLS_APPROVED, + IKE_APPROVED, + SAFE_PRIME, + SAFE_PRIME_WITH_SUBPRIME, + KNOWN_SUBPRIME, + WRONG_SUBPRIME, + UNKNOWN_SUBPRIME, + BAD_PUB_KEY +}; + +enum DhKeyClass { + CLASS_1536 = 0, + CLASS_2048, + CLASS_3072, + CLASS_4096, + CLASS_6144, + CLASS_8192, + CLASS_LAST +}; +const DhKeyClass CLASS_FIRST = CLASS_1536; + +const unsigned char *reference_prime[CLASS_LAST] = { + prime_ike_1536, prime_tls_2048, prime_tls_3072, + prime_ike_4096, prime_ike_6144, prime_tls_8192}; + +const size_t reference_prime_len[CLASS_LAST] = { + sizeof(prime_ike_1536), sizeof(prime_tls_2048), sizeof(prime_tls_3072), + sizeof(prime_ike_4096), sizeof(prime_ike_6144), sizeof(prime_tls_8192)}; + +struct DhTestVector { + const char *id; + SECItem p; + SECItem g; + SECItem q; + SECItem pub_key; + DhParamType param_type; + DhKeyClass key_class; +}; + +static const unsigned char g2[] = {2}; +static const unsigned char g3[] = {3}; + +static const DhTestVector DH_TEST_VECTORS[] = { + /* test our approved primes, the pass in all modes and configurations */ + {"IKE 1536", + {siBuffer, (unsigned char *)prime_ike_1536, sizeof(prime_ike_1536)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_1536}, + {"IKE 2048", + {siBuffer, (unsigned char *)prime_ike_2048, sizeof(prime_ike_2048)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_2048}, + {"TLS 3048", + {siBuffer, (unsigned char *)prime_tls_2048, sizeof(prime_tls_2048)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + TLS_APPROVED, + CLASS_2048}, + {"IKE 3072", + {siBuffer, (unsigned char *)prime_ike_3072, sizeof(prime_ike_3072)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_3072}, + {"TLS 3072", + {siBuffer, (unsigned char *)prime_tls_3072, sizeof(prime_tls_3072)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + TLS_APPROVED, + CLASS_3072}, + {"IKE 4096", + {siBuffer, (unsigned char *)prime_ike_4096, sizeof(prime_ike_4096)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_4096}, + {"TLS 4096", + {siBuffer, (unsigned char *)prime_tls_4096, sizeof(prime_tls_4096)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + TLS_APPROVED, + CLASS_4096}, + {"IKE 6144", + {siBuffer, (unsigned char *)prime_ike_6144, sizeof(prime_ike_6144)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_6144}, + {"TLS 6144", + {siBuffer, (unsigned char *)prime_tls_6144, sizeof(prime_tls_6144)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + TLS_APPROVED, + CLASS_6144}, + {"IKE 8192", + {siBuffer, (unsigned char *)prime_ike_8192, sizeof(prime_ike_8192)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_8192}, + {"TLS 8192", + {siBuffer, (unsigned char *)prime_tls_8192, sizeof(prime_tls_8192)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + TLS_APPROVED, + CLASS_8192}, + /* approved primes with explicit subprimes.These should pass without + * the need to verify the primes and subprimes for primality */ + {"IKE 1536 with subprime", + {siBuffer, (unsigned char *)prime_ike_1536, sizeof(prime_ike_1536)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_ike_1536, + sizeof(sub2_prime_ike_1536)}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_1536}, + {"IKE 2048 with subprime", + {siBuffer, (unsigned char *)prime_ike_2048, sizeof(prime_ike_2048)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_ike_2048, + sizeof(sub2_prime_ike_2048)}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_2048}, + {"TLS 2048 with subprime", + {siBuffer, (unsigned char *)prime_tls_2048, sizeof(prime_tls_2048)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_tls_2048, + sizeof(sub2_prime_tls_2048)}, + {siBuffer, NULL, 0}, + TLS_APPROVED, + CLASS_2048}, + {"IKE 3072 with subprime", + {siBuffer, (unsigned char *)prime_ike_3072, sizeof(prime_ike_3072)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_ike_3072, + sizeof(sub2_prime_ike_3072)}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_3072}, + {"TLS 3072 with subprime", + {siBuffer, (unsigned char *)prime_tls_3072, sizeof(prime_tls_3072)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_tls_3072, + sizeof(sub2_prime_tls_3072)}, + {siBuffer, NULL, 0}, + TLS_APPROVED, + CLASS_3072}, + {"IKE 4096 with subprime", + {siBuffer, (unsigned char *)prime_ike_4096, sizeof(prime_ike_4096)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_ike_4096, + sizeof(sub2_prime_ike_4096)}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_4096}, + {"TLS 4096 with subprime", + {siBuffer, (unsigned char *)prime_tls_4096, sizeof(prime_tls_4096)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_tls_4096, + sizeof(sub2_prime_tls_4096)}, + {siBuffer, NULL, 0}, + TLS_APPROVED, + CLASS_4096}, + {"IKE 6144 with subprime", + {siBuffer, (unsigned char *)prime_ike_6144, sizeof(prime_ike_6144)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_ike_6144, + sizeof(sub2_prime_ike_6144)}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_6144}, + {"TLS 6144 with subprime", + {siBuffer, (unsigned char *)prime_tls_6144, sizeof(prime_tls_6144)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_tls_6144, + sizeof(sub2_prime_tls_6144)}, + {siBuffer, NULL, 0}, + TLS_APPROVED, + CLASS_6144}, + {"IKE 8192 with subprime", + {siBuffer, (unsigned char *)prime_ike_8192, sizeof(prime_ike_8192)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_ike_8192, + sizeof(sub2_prime_ike_8192)}, + {siBuffer, NULL, 0}, + IKE_APPROVED, + CLASS_8192}, + {"TLS 8192 with subprime", + {siBuffer, (unsigned char *)prime_tls_8192, sizeof(prime_tls_8192)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_tls_8192, + sizeof(sub2_prime_tls_8192)}, + {siBuffer, NULL, 0}, + TLS_APPROVED, + CLASS_8192}, + /* test our non-approved safe primes. This primes should pass in + * non-FIPS and fail in FIPS. They should pass without checks */ + {"Safe Prime 1536", + {siBuffer, (unsigned char *)prime_safe_1536, sizeof(prime_safe_1536)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + SAFE_PRIME, + CLASS_1536}, + {"Safe Prime 2048", + {siBuffer, (unsigned char *)prime_safe_2048, sizeof(prime_safe_2048)}, + {siBuffer, (unsigned char *)g3, sizeof(g3)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + SAFE_PRIME, + CLASS_2048}, + {"Safe Prime 3072", + {siBuffer, (unsigned char *)prime_safe_3072, sizeof(prime_safe_3072)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + SAFE_PRIME, + CLASS_3072}, + {"Safe Prime 4096", + {siBuffer, (unsigned char *)prime_safe_4096, sizeof(prime_safe_4096)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + SAFE_PRIME, + CLASS_4096}, + {"Safe Prime 6144", + {siBuffer, (unsigned char *)prime_safe_6144, sizeof(prime_safe_6144)}, + {siBuffer, (unsigned char *)g3, sizeof(g3)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + SAFE_PRIME, + CLASS_6144}, + {"Safe Prime 8192", + {siBuffer, (unsigned char *)prime_safe_8192, sizeof(prime_safe_8192)}, + {siBuffer, (unsigned char *)g3, sizeof(g3)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + SAFE_PRIME, + CLASS_8192}, + /* test our non-approved safe primes. This primes should pass in + * non-FIPS and fail in FIPS. In non-FIPS, they need checks */ + {"Safe Prime 1536 with Subprime", + {siBuffer, (unsigned char *)prime_safe_1536, sizeof(prime_safe_1536)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_safe_1536, + sizeof(sub2_prime_safe_1536)}, + {siBuffer, NULL, 0}, + SAFE_PRIME_WITH_SUBPRIME, + CLASS_1536}, + {"Safe Prime 2048 with Subprime", + {siBuffer, (unsigned char *)prime_safe_2048, sizeof(prime_safe_2048)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_safe_2048, + sizeof(sub2_prime_safe_2048)}, + {siBuffer, NULL, 0}, + SAFE_PRIME_WITH_SUBPRIME, + CLASS_2048}, + {"Safe Prime 3072 with Subprime", + {siBuffer, (unsigned char *)prime_safe_3072, sizeof(prime_safe_3072)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_safe_3072, + sizeof(sub2_prime_safe_3072)}, + {siBuffer, NULL, 0}, + SAFE_PRIME_WITH_SUBPRIME, + CLASS_3072}, +#ifdef NSS_SOFTOKEN_DH_INCLUDE_SLOW + {"Safe Prime 4096 with Subprime", + {siBuffer, (unsigned char *)prime_safe_4096, sizeof(prime_safe_4096)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_safe_4096, + sizeof(sub2_prime_safe_4096)}, + {siBuffer, NULL, 0}, + SAFE_PRIME_WITH_SUBPRIME, + CLASS_4096}, + {"Safe Prime 6144 with Subprime", + {siBuffer, (unsigned char *)prime_safe_6144, sizeof(prime_safe_6144)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_safe_6144, + sizeof(sub2_prime_safe_6144)}, + {siBuffer, NULL, 0}, + SAFE_PRIME_WITH_SUBPRIME, + CLASS_6144}, + {"Safe Prime 8192 with Subprime", + {siBuffer, (unsigned char *)prime_safe_8192, sizeof(prime_safe_8192)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_safe_8192, + sizeof(sub2_prime_safe_8192)}, + {siBuffer, NULL, 0}, + SAFE_PRIME_WITH_SUBPRIME, + CLASS_8192}, +#endif + /* test "weak" primes with "unknown" subprimes. We use + * the same primes as the known subprimes, but we don't + * include the subprime in the test. These primes should + * pass in non-FIPS mode and fail in FIPS mode */ + {"Weak Prime 1024 Unknown Subprime", + {siBuffer, (unsigned char *)prime_weak_1024, sizeof(prime_weak_1024)}, + {siBuffer, (unsigned char *)base_weak_1024, sizeof(base_weak_1024)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + UNKNOWN_SUBPRIME, + CLASS_1536}, + {"Weak Prime 2048 Unknown Subprime", + {siBuffer, (unsigned char *)prime_weak_2048, sizeof(prime_weak_2048)}, + {siBuffer, (unsigned char *)base_weak_2048, sizeof(base_weak_2048)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + UNKNOWN_SUBPRIME, + CLASS_2048}, + {"Weak Prime 3072 Unknown Subprime", + {siBuffer, (unsigned char *)prime_weak_3072, sizeof(prime_weak_3072)}, + {siBuffer, (unsigned char *)base_weak_3072, sizeof(base_weak_3072)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + UNKNOWN_SUBPRIME, + CLASS_3072}, + {"Weak Prime 4096 Unknown Subprime", + {siBuffer, (unsigned char *)prime_weak_4096, sizeof(prime_weak_4096)}, + {siBuffer, (unsigned char *)base_weak_4096, sizeof(base_weak_4096)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + UNKNOWN_SUBPRIME, + CLASS_4096}, + {"Weak Prime 6144 Unknown Subprime", + {siBuffer, (unsigned char *)prime_weak_6144, sizeof(prime_weak_6144)}, + {siBuffer, (unsigned char *)base_weak_6144, sizeof(base_weak_6144)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + UNKNOWN_SUBPRIME, + CLASS_6144}, + {"Weak Prime 8192 Unknown Subprime", + {siBuffer, (unsigned char *)prime_weak_8192, sizeof(prime_weak_8192)}, + {siBuffer, (unsigned char *)base_weak_8192, sizeof(base_weak_8192)}, + {siBuffer, NULL, 0}, + {siBuffer, NULL, 0}, + UNKNOWN_SUBPRIME, + CLASS_8192}, + /* test "weak" primes with known subprimes. These primes should + * pass in non-FIPS and fail in FIPS. In non-FIPS they should have full + * checks. */ + {"Weak Prime 1024 Known Subprime", + {siBuffer, (unsigned char *)prime_weak_1024, sizeof(prime_weak_1024)}, + {siBuffer, (unsigned char *)base_weak_1024, sizeof(base_weak_1024)}, + {siBuffer, (unsigned char *)subprime_weak_1024, + sizeof(subprime_weak_1024)}, + {siBuffer, NULL, 0}, + KNOWN_SUBPRIME, + CLASS_1536}, + {"Weak Prime 2048 Known Subprime", + {siBuffer, (unsigned char *)prime_weak_2048, sizeof(prime_weak_2048)}, + {siBuffer, (unsigned char *)base_weak_2048, sizeof(base_weak_2048)}, + {siBuffer, (unsigned char *)subprime_weak_2048, + sizeof(subprime_weak_2048)}, + {siBuffer, NULL, 0}, + KNOWN_SUBPRIME, + CLASS_2048}, + {"Weak Prime 3072 Known Subprime", + {siBuffer, (unsigned char *)prime_weak_3072, sizeof(prime_weak_3072)}, + {siBuffer, (unsigned char *)base_weak_3072, sizeof(base_weak_3072)}, + {siBuffer, (unsigned char *)subprime_weak_3072, + sizeof(subprime_weak_3072)}, + {siBuffer, NULL, 0}, + KNOWN_SUBPRIME, + CLASS_3072}, +#ifdef NSS_SOFTOKEN_DH_INCLUDE_SLOW + {"Weak Prime 4096 Known Subprime", + {siBuffer, (unsigned char *)prime_weak_4096, sizeof(prime_weak_4096)}, + {siBuffer, (unsigned char *)base_weak_4096, sizeof(base_weak_4096)}, + {siBuffer, (unsigned char *)subprime_weak_4096, + sizeof(subprime_weak_4096)}, + {siBuffer, NULL, 0}, + KNOWN_SUBPRIME, + CLASS_4096}, + {"Weak Prime 6144 Known Subprime", + {siBuffer, (unsigned char *)prime_weak_6144, sizeof(prime_weak_6144)}, + {siBuffer, (unsigned char *)base_weak_6144, sizeof(base_weak_6144)}, + {siBuffer, (unsigned char *)subprime_weak_6144, + sizeof(subprime_weak_6144)}, + {siBuffer, NULL, 0}, + KNOWN_SUBPRIME, + CLASS_6144}, + {"Weak Prime 8192 Known Subprime", + {siBuffer, (unsigned char *)prime_weak_8192, sizeof(prime_weak_8192)}, + {siBuffer, (unsigned char *)base_weak_8192, sizeof(base_weak_8192)}, + {siBuffer, (unsigned char *)subprime_weak_8192, + sizeof(subprime_weak_8192)}, + {siBuffer, NULL, 0}, + KNOWN_SUBPRIME, + CLASS_8192}, +#endif + /* test "weak" primes as if they were safe primes. These primes should + * faill in all modes. */ + {"Weak Prime 1024 Wrong Subprime", + {siBuffer, (unsigned char *)prime_weak_1024, sizeof(prime_weak_1024)}, + {siBuffer, (unsigned char *)base_weak_1024, sizeof(base_weak_1024)}, + {siBuffer, (unsigned char *)sub2_prime_weak_1024, + sizeof(sub2_prime_weak_1024)}, + {siBuffer, NULL, 0}, + WRONG_SUBPRIME, + CLASS_1536}, + {"Weak Prime 2048 Wrong Subprime", + {siBuffer, (unsigned char *)prime_weak_2048, sizeof(prime_weak_2048)}, + {siBuffer, (unsigned char *)base_weak_2048, sizeof(base_weak_2048)}, + {siBuffer, (unsigned char *)sub2_prime_weak_2048, + sizeof(sub2_prime_weak_2048)}, + {siBuffer, NULL, 0}, + WRONG_SUBPRIME, + CLASS_2048}, + {"Weak Prime 3072 Wrong Subprime", + {siBuffer, (unsigned char *)prime_weak_3072, sizeof(prime_weak_3072)}, + {siBuffer, (unsigned char *)base_weak_3072, sizeof(base_weak_3072)}, + {siBuffer, (unsigned char *)sub2_prime_weak_3072, + sizeof(sub2_prime_weak_3072)}, + {siBuffer, NULL, 0}, + WRONG_SUBPRIME, + CLASS_3072}, +#ifdef NSS_SOFTOKEN_DH_INCLUDE_SLOW + {"Weak Prime 4096 Wrong Subprime", + {siBuffer, (unsigned char *)prime_weak_4096, sizeof(prime_weak_4096)}, + {siBuffer, (unsigned char *)base_weak_4096, sizeof(base_weak_4096)}, + {siBuffer, (unsigned char *)sub2_prime_weak_4096, + sizeof(sub2_prime_weak_4096)}, + {siBuffer, NULL, 0}, + WRONG_SUBPRIME, + CLASS_4096}, + {"Weak Prime 6144 Wrong Subprime", + {siBuffer, (unsigned char *)prime_weak_6144, sizeof(prime_weak_6144)}, + {siBuffer, (unsigned char *)base_weak_6144, sizeof(base_weak_6144)}, + {siBuffer, (unsigned char *)sub2_prime_weak_6144, + sizeof(sub2_prime_weak_6144)}, + {siBuffer, NULL, 0}, + WRONG_SUBPRIME, + CLASS_6144}, + {"Weak Prime 8192 Wrong Subprime", + {siBuffer, (unsigned char *)prime_weak_8192, sizeof(prime_weak_8192)}, + {siBuffer, (unsigned char *)base_weak_8192, sizeof(base_weak_8192)}, + {siBuffer, (unsigned char *)sub2_prime_weak_8192, + sizeof(sub2_prime_weak_8192)}, + {siBuffer, NULL, 0}, + WRONG_SUBPRIME, + CLASS_8192}, +#endif + /******** Now test various invalid public keys */ + /* first known small subgroups of safe primes. These test should + * fail in all modes with all primes */ + {"Pubkey = 0 IKE 1536", + {siBuffer, (unsigned char *)prime_ike_1536, sizeof(prime_ike_1536)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, (unsigned char *)pub_key_zero, sizeof(pub_key_zero)}, + BAD_PUB_KEY, + CLASS_1536}, + {"PubKey = 1 TLS 2048", + {siBuffer, (unsigned char *)prime_tls_2048, sizeof(prime_tls_2048)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, (unsigned char *)pub_key_one, sizeof(pub_key_one)}, + BAD_PUB_KEY, + CLASS_2048}, + {"Pubkey == -1 IKE 1536", + {siBuffer, (unsigned char *)prime_ike_1536, sizeof(prime_ike_1536)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, (unsigned char *)pub_key_minus_1_ike_1536, + sizeof(pub_key_minus_1_ike_1536)}, + BAD_PUB_KEY, + CLASS_1536}, + {"Pubkey = -1 SAFE 2048 WITH SUBPRIME", + {siBuffer, (unsigned char *)prime_safe_2048, sizeof(prime_safe_2048)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_safe_2048, + sizeof(sub2_prime_safe_2048)}, + {siBuffer, (unsigned char *)pub_key_minus_1_safe_2048, + sizeof(pub_key_minus_1_safe_2048)}, + BAD_PUB_KEY, + CLASS_2048}, + {"Pubkey = -1 WEAK 3072 KNOWN SUBPRIME", + {siBuffer, (unsigned char *)prime_weak_3072, sizeof(prime_weak_3072)}, + {siBuffer, (unsigned char *)base_weak_3072, sizeof(base_weak_3072)}, + {siBuffer, (unsigned char *)subprime_weak_3072, + sizeof(subprime_weak_3072)}, + {siBuffer, (unsigned char *)pub_key_minus_1_weak_3072, + sizeof(pub_key_minus_1_weak_3072)}, + BAD_PUB_KEY, + CLASS_3072}, + {"Pubkey = -1 WEAK 4096 UNKNOWN SUBPRIME", + {siBuffer, (unsigned char *)prime_weak_4096, sizeof(prime_weak_4096)}, + {siBuffer, (unsigned char *)base_weak_4096, sizeof(base_weak_4096)}, + {siBuffer, NULL, 0}, + {siBuffer, (unsigned char *)pub_key_minus_1_weak_4096, + sizeof(pub_key_minus_1_weak_4096)}, + BAD_PUB_KEY, + CLASS_4096}, + {"Pubkey = -1 TLS 6144 WITH SUBPRIME", + {siBuffer, (unsigned char *)prime_tls_6144, sizeof(prime_tls_6144)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, (unsigned char *)sub2_prime_tls_6144, + sizeof(sub2_prime_tls_6144)}, + {siBuffer, (unsigned char *)pub_key_minus_1_tls_6144, + sizeof(pub_key_minus_1_tls_6144)}, + BAD_PUB_KEY, + CLASS_6144}, + {"Pubkey = -1 SAFE 8192", + {siBuffer, (unsigned char *)prime_safe_8192, sizeof(prime_safe_8192)}, + {siBuffer, (unsigned char *)g2, sizeof(g2)}, + {siBuffer, NULL, 0}, + {siBuffer, (unsigned char *)pub_key_minus_1_safe_8192, + sizeof(pub_key_minus_1_safe_8192)}, + BAD_PUB_KEY, + CLASS_8192}, + /* y is a known small subgroups of weak primes (which known subprimes). + * These test should fail in all modes with all primes */ + {"Pubkey small subgroup Weak 1024 prime", + {siBuffer, (unsigned char *)prime_weak_1024, sizeof(prime_weak_1024)}, + {siBuffer, (unsigned char *)base_weak_1024, sizeof(base_weak_1024)}, + {siBuffer, (unsigned char *)subprime_weak_1024, + sizeof(subprime_weak_1024)}, + {siBuffer, (unsigned char *)pub_key_bad_weak_1024, + sizeof(pub_key_bad_weak_1024)}, + BAD_PUB_KEY, + CLASS_1536}, + {"Pubkey small subgroup Weak 2048 prime", + {siBuffer, (unsigned char *)prime_weak_2048, sizeof(prime_weak_2048)}, + {siBuffer, (unsigned char *)base_weak_2048, sizeof(base_weak_2048)}, + {siBuffer, (unsigned char *)subprime_weak_2048, + sizeof(subprime_weak_2048)}, + {siBuffer, (unsigned char *)pub_key_bad_weak_2048, + sizeof(pub_key_bad_weak_2048)}, + BAD_PUB_KEY, + CLASS_2048}, + {"Pubkey small subgroup Weak 3072 prime", + {siBuffer, (unsigned char *)prime_weak_3072, sizeof(prime_weak_3072)}, + {siBuffer, (unsigned char *)base_weak_3072, sizeof(base_weak_3072)}, + {siBuffer, (unsigned char *)subprime_weak_3072, + sizeof(subprime_weak_3072)}, + {siBuffer, (unsigned char *)pub_key_bad_weak_3072, + sizeof(pub_key_bad_weak_3072)}, + BAD_PUB_KEY, + CLASS_3072}, +#ifdef NSS_SOFTOKEN_DH_INCLUDE_SLOW + {"Pubkey small subgroup Weak 4096 prime", + {siBuffer, (unsigned char *)prime_weak_4096, sizeof(prime_weak_4096)}, + {siBuffer, (unsigned char *)base_weak_4096, sizeof(base_weak_4096)}, + {siBuffer, (unsigned char *)subprime_weak_4096, + sizeof(subprime_weak_4096)}, + {siBuffer, (unsigned char *)pub_key_bad_weak_4096, + sizeof(pub_key_bad_weak_4096)}, + BAD_PUB_KEY, + CLASS_4096}, + {"Pubkey small subgroup Weak 6144 prime", + {siBuffer, (unsigned char *)prime_weak_6144, sizeof(prime_weak_6144)}, + {siBuffer, (unsigned char *)base_weak_6144, sizeof(base_weak_6144)}, + {siBuffer, (unsigned char *)subprime_weak_6144, + sizeof(subprime_weak_6144)}, + {siBuffer, (unsigned char *)pub_key_bad_weak_6144, + sizeof(pub_key_bad_weak_6144)}, + BAD_PUB_KEY, + CLASS_6144}, + {"Pubkey small subgroup Weak 8192 prime", + {siBuffer, (unsigned char *)prime_weak_8192, sizeof(prime_weak_8192)}, + {siBuffer, (unsigned char *)base_weak_8192, sizeof(base_weak_8192)}, + {siBuffer, (unsigned char *)subprime_weak_8192, + sizeof(subprime_weak_8192)}, + {siBuffer, (unsigned char *)pub_key_bad_weak_8192, + sizeof(pub_key_bad_weak_8192)}, + BAD_PUB_KEY, + CLASS_8192} +#endif +}; +};
--- a/security/nss/gtests/softoken_gtest/softoken_gtest.cc +++ b/security/nss/gtests/softoken_gtest/softoken_gtest.cc @@ -6,20 +6,24 @@ #include "secmod.h" #include "secerr.h" #include "nss_scoped_ptrs.h" #include "util.h" #define GTEST_HAS_RTTI 0 #include "gtest/gtest.h" +#include "databuffer.h" #include <fstream> +#include <chrono> +using namespace std::chrono; + +#include "softoken_dh_vectors.h" namespace nss_test { - class SoftokenTest : public ::testing::Test { protected: SoftokenTest() : mNSSDBDir("SoftokenTest.d-") {} SoftokenTest(const std::string &prefix) : mNSSDBDir(prefix) {} virtual void SetUp() { std::string nssInitArg("sql:"); nssInitArg.append(mNSSDBDir.GetUTF8Path()); @@ -522,35 +526,271 @@ TEST_F(SoftokenNoDBTest, NeedUserInitNoD ASSERT_TRUE(slot); EXPECT_EQ(PR_FALSE, PK11_NeedUserInit(slot.get())); // When shutting down in here we have to release the slot first. slot = nullptr; ASSERT_EQ(SECSuccess, NSS_Shutdown()); } +SECStatus test_dh_value(const PQGParams *params, const SECItem *pub_key_value, + PRBool genFailOK, time_t *time) { + SECKEYDHParams dh_params; + dh_params.base = params->base; + dh_params.prime = params->prime; + + ScopedPK11SlotInfo slot(PK11_GetInternalSlot()); + EXPECT_TRUE(slot); + if (!slot) return SECFailure; + + /* create a private/public key pair in with the given params */ + SECKEYPublicKey *pub_tmp = nullptr; + ScopedSECKEYPrivateKey priv_key( + PK11_GenerateKeyPair(slot.get(), CKM_DH_PKCS_KEY_PAIR_GEN, &dh_params, + &pub_tmp, PR_FALSE, PR_TRUE, nullptr)); + if ((genFailOK) && ((priv_key.get() == nullptr) || (pub_tmp == nullptr))) { + return SECFailure; + } + EXPECT_NE(nullptr, priv_key.get()) << "PK11_GenerateKeyPair failed: " + << PORT_ErrorToName(PORT_GetError()); + EXPECT_NE(nullptr, pub_tmp); + if ((priv_key.get() == nullptr) || (pub_tmp == nullptr)) return SECFailure; + ScopedSECKEYPublicKey pub_key(pub_tmp); + ScopedSECKEYPublicKey peer_pub_key_manager(nullptr); + SECKEYPublicKey *peer_pub_key = pub_key.get(); + + /* if a subprime has been given set it on the PKCS #11 key */ + if (params->subPrime.data != nullptr) { + SECStatus rv; + EXPECT_EQ(SECSuccess, rv = PK11_WriteRawAttribute( + PK11_TypePrivKey, priv_key.get(), CKA_SUBPRIME, + (SECItem *)¶ms->subPrime)) + << "PK11_WriteRawAttribute failed: " + << PORT_ErrorToString(PORT_GetError()); + if (rv != SECSuccess) { + return rv; + } + } + + /* find if we weren't passed a public value in, use the + * one we just generated */ + if (pub_key_value && pub_key_value->data) { + peer_pub_key = SECKEY_CopyPublicKey(pub_key.get()); + EXPECT_NE(nullptr, peer_pub_key); + if (peer_pub_key == nullptr) { + return SECFailure; + } + peer_pub_key->u.dh.publicValue = *pub_key_value; + peer_pub_key_manager.reset(peer_pub_key); + } + + /* now do the derive. time it and return the time if + * the caller requested it. */ + auto start = high_resolution_clock::now(); + ScopedPK11SymKey derivedKey(PK11_PubDerive( + priv_key.get(), peer_pub_key, PR_FALSE, nullptr, nullptr, + CKM_DH_PKCS_DERIVE, CKM_HKDF_DERIVE, CKA_DERIVE, 32, nullptr)); + auto stop = high_resolution_clock::now(); + if (!derivedKey) { + std::cerr << "PK11_PubDerive failed: " + << PORT_ErrorToString(PORT_GetError()) << std::endl; + } + + if (time) { + auto duration = duration_cast<microseconds>(stop - start); + *time = duration.count(); + } + return derivedKey ? SECSuccess : SECFailure; +} + +class SoftokenDhTest : public SoftokenTest { + protected: + SoftokenDhTest() : SoftokenTest("SoftokenDhTest.d-") {} +#ifdef NSS_USE_TIMING_CODE + time_t reference_time[CLASS_LAST] = {0}; +#endif + + virtual void SetUp() { + SoftokenTest::SetUp(); + +#ifdef NSS_USE_TIMING_CODE + ScopedPK11SlotInfo slot(PK11_GetInternalSlot()); + ASSERT_TRUE(slot); + + time_t time; + for (int i = CLASS_FIRST; i < CLASS_LAST; i++) { + PQGParams params; + params.prime.data = (unsigned char *)reference_prime[i]; + params.prime.len = reference_prime_len[i]; + params.base.data = (unsigned char *)g2; + params.base.len = sizeof(g2); + params.subPrime.data = nullptr; + params.subPrime.len = 0; + ASSERT_EQ(SECSuccess, test_dh_value(¶ms, nullptr, PR_FALSE, &time)); + reference_time[i] = time / 2 + 3 * time; + } +#endif + }; +}; + +const char *param_value(DhParamType param_type) { + switch (param_type) { + case TLS_APPROVED: + return "TLS_APPROVED"; + case IKE_APPROVED: + return "IKE_APPROVED"; + case SAFE_PRIME: + return "SAFE_PRIME"; + case SAFE_PRIME_WITH_SUBPRIME: + return "SAFE_PRIME_WITH_SUBPRIME"; + case KNOWN_SUBPRIME: + return "KNOWN_SUBPRIME"; + case UNKNOWN_SUBPRIME: + return "UNKNOWN_SUBPRIME"; + case WRONG_SUBPRIME: + return "WRONG_SUBPRIME"; + case BAD_PUB_KEY: + return "BAD_PUB_KEY"; + } + return "**Invalid**"; +} + +const char *key_value(DhKeyClass key_class) { + switch (key_class) { + case CLASS_1536: + return "CLASS_1536"; + case CLASS_2048: + return "CLASS_2048"; + case CLASS_3072: + return "CLASS_3072"; + case CLASS_4096: + return "CLASS_4096"; + case CLASS_6144: + return "CLASS_6144"; + case CLASS_8192: + return "CLASS_8192"; + case CLASS_LAST: + break; + } + return "**Invalid**"; +} + +class SoftokenDhValidate : public SoftokenDhTest, + public ::testing::WithParamInterface<DhTestVector> { +}; + +/* test the DH validation process. In non-fips mode, only BAD_PUB_KEY tests + * should fail */ +TEST_P(SoftokenDhValidate, DhVectors) { + const DhTestVector dhTestValues = GetParam(); + std::string testId = (char *)(dhTestValues.id); + std::string err = "Test(" + testId + ") failed"; + SECStatus rv; + time_t time; + + PQGParams params; + params.prime = dhTestValues.p; + params.base = dhTestValues.g; + params.subPrime = dhTestValues.q; + + std::cerr << "Test: " + testId << std::endl + << "param_type: " << param_value(dhTestValues.param_type) + << ", key_class: " << key_value(dhTestValues.key_class) << std::endl + << "p: " << DataBuffer(dhTestValues.p.data, dhTestValues.p.len) + << std::endl + << "g: " << DataBuffer(dhTestValues.g.data, dhTestValues.g.len) + << std::endl + << "q: " << DataBuffer(dhTestValues.q.data, dhTestValues.q.len) + << std::endl + << "pub_key: " + << DataBuffer(dhTestValues.pub_key.data, dhTestValues.pub_key.len) + << std::endl; + rv = test_dh_value(¶ms, &dhTestValues.pub_key, PR_FALSE, &time); + + switch (dhTestValues.param_type) { + case TLS_APPROVED: + case IKE_APPROVED: + case SAFE_PRIME: + case UNKNOWN_SUBPRIME: + EXPECT_EQ(SECSuccess, rv) << err; +#ifdef NSS_USE_TIMING_CODE + EXPECT_LE(time, reference_time[dhTestValues.key_class]) << err; +#endif + break; + case KNOWN_SUBPRIME: + case SAFE_PRIME_WITH_SUBPRIME: + EXPECT_EQ(SECSuccess, rv) << err; +#ifdef NSS_USE_TIMING_CODE + EXPECT_GT(time, reference_time[dhTestValues.key_class]) << err; +#endif + break; + case WRONG_SUBPRIME: + case BAD_PUB_KEY: + EXPECT_EQ(SECFailure, rv) << err; + break; + } +} + +INSTANTIATE_TEST_CASE_P(DhValidateCases, SoftokenDhValidate, + ::testing::ValuesIn(DH_TEST_VECTORS)); + #ifndef NSS_FIPS_DISABLED class SoftokenFipsTest : public SoftokenTest { protected: SoftokenFipsTest() : SoftokenTest("SoftokenFipsTest.d-") {} + SoftokenFipsTest(const std::string &prefix) : SoftokenTest(prefix) {} virtual void SetUp() { SoftokenTest::SetUp(); // Turn on FIPS mode (code borrowed from FipsMode in modutil/pk11.c) char *internal_name; ASSERT_FALSE(PK11_IsFIPS()); internal_name = PR_smprintf("%s", SECMOD_GetInternalModule()->commonName); - ASSERT_EQ(SECSuccess, SECMOD_DeleteInternalModule(internal_name)); + ASSERT_EQ(SECSuccess, SECMOD_DeleteInternalModule(internal_name)) + << PORT_ErrorToName(PORT_GetError()); PR_smprintf_free(internal_name); ASSERT_TRUE(PK11_IsFIPS()); } }; +class SoftokenFipsDhTest : public SoftokenFipsTest { + protected: + SoftokenFipsDhTest() : SoftokenFipsTest("SoftokenFipsDhTest.d-") {} +#ifdef NSS_USE_TIMING_CODE + time_t reference_time[CLASS_LAST] = {0}; +#endif + + virtual void SetUp() { + SoftokenFipsTest::SetUp(); + + ScopedPK11SlotInfo slot(PK11_GetInternalSlot()); + ASSERT_TRUE(slot); + + ASSERT_EQ(SECSuccess, PK11_InitPin(slot.get(), nullptr, "")); + ASSERT_EQ(SECSuccess, PK11_Authenticate(slot.get(), PR_FALSE, nullptr)); + +#ifdef NSS_USE_TIMING_CODE + time_t time; + for (int i = CLASS_FIRST; i < CLASS_LAST; i++) { + PQGParams params; + params.prime.data = (unsigned char *)reference_prime[i]; + params.prime.len = reference_prime_len[i]; + params.base.data = (unsigned char *)g2; + params.base.len = sizeof(g2); + params.subPrime.data = nullptr; + params.subPrime.len = 0; + ASSERT_EQ(SECSuccess, test_dh_value(¶ms, nullptr, PR_FALSE, &time)); + reference_time[i] = time / 2 + 3 * time; + } +#endif + }; +}; + const std::vector<std::string> kFipsPasswordCases[] = { // FIPS level1 -> level1 -> level1 {"", "", ""}, // FIPS level1 -> level1 -> level2 {"", "", "strong-_123"}, // FIXME: this should work: FIPS level1 -> level2 -> level2 // {"", "strong-_123", "strong-_456"}, // FIPS level2 -> level2 -> level2 @@ -608,22 +848,80 @@ TEST_P(SoftokenFipsBadPasswordTest, SetB rv = PK11_ChangePW(slot.get(), (*prev_it).c_str(), (*it).c_str()); if (it + 1 == passwords.end()) EXPECT_EQ(SECFailure, rv); else EXPECT_EQ(SECSuccess, rv); } } +class SoftokenFipsDhValidate + : public SoftokenFipsDhTest, + public ::testing::WithParamInterface<DhTestVector> {}; + +/* test the DH validation process. In fips mode, primes with unknown + * subprimes, and all sorts of bad public keys should fail */ +TEST_P(SoftokenFipsDhValidate, DhVectors) { + const DhTestVector dhTestValues = GetParam(); + std::string testId = (char *)(dhTestValues.id); + std::string err = "Test(" + testId + ") failed"; + time_t time; + PRBool genFailOK = PR_FALSE; + SECStatus rv; + + PQGParams params; + params.prime = dhTestValues.p; + params.base = dhTestValues.g; + params.subPrime = dhTestValues.q; + std::cerr << "Test:" + testId << std::endl + << "param_type: " << param_value(dhTestValues.param_type) + << ", key_class: " << key_value(dhTestValues.key_class) << std::endl + << "p: " << DataBuffer(dhTestValues.p.data, dhTestValues.p.len) + << std::endl + << "g: " << DataBuffer(dhTestValues.g.data, dhTestValues.g.len) + << std::endl + << "q: " << DataBuffer(dhTestValues.q.data, dhTestValues.q.len) + << std::endl + << "pub_key: " + << DataBuffer(dhTestValues.pub_key.data, dhTestValues.pub_key.len) + << std::endl; + + if ((dhTestValues.param_type != TLS_APPROVED) && + (dhTestValues.param_type != IKE_APPROVED)) { + genFailOK = PR_TRUE; + } + rv = test_dh_value(¶ms, &dhTestValues.pub_key, genFailOK, &time); + + switch (dhTestValues.param_type) { + case TLS_APPROVED: + case IKE_APPROVED: + EXPECT_EQ(SECSuccess, rv) << err; +#ifdef NSS_USE_TIMING_CODE + EXPECT_LE(time, reference_time[dhTestValues.key_class]) << err; +#endif + break; + case SAFE_PRIME: + case SAFE_PRIME_WITH_SUBPRIME: + case KNOWN_SUBPRIME: + case UNKNOWN_SUBPRIME: + case WRONG_SUBPRIME: + case BAD_PUB_KEY: + EXPECT_EQ(SECFailure, rv) << err; + break; + } +} + INSTANTIATE_TEST_CASE_P(FipsPasswordCases, SoftokenFipsPasswordTest, ::testing::ValuesIn(kFipsPasswordCases)); INSTANTIATE_TEST_CASE_P(BadFipsPasswordCases, SoftokenFipsBadPasswordTest, ::testing::ValuesIn(kFipsPasswordBadCases)); +INSTANTIATE_TEST_CASE_P(FipsDhCases, SoftokenFipsDhValidate, + ::testing::ValuesIn(DH_TEST_VECTORS)); #endif } // namespace nss_test int main(int argc, char **argv) { ::testing::InitGoogleTest(&argc, argv); return RUN_ALL_TESTS();
--- a/security/nss/gtests/softoken_gtest/softoken_gtest.gyp +++ b/security/nss/gtests/softoken_gtest/softoken_gtest.gyp @@ -11,16 +11,17 @@ 'target_name': 'softoken_gtest', 'type': 'executable', 'sources': [ 'softoken_gtest.cc', 'softoken_nssckbi_testlib_gtest.cc', ], 'dependencies': [ '<(DEPTH)/exports.gyp:nss_exports', + '<(DEPTH)/cpputil/cpputil.gyp:cpputil', '<(DEPTH)/lib/util/util.gyp:nssutil3', '<(DEPTH)/gtests/google_test/google_test.gyp:gtest', ], 'conditions': [ [ 'static_libs==1', { 'dependencies': [ '<(DEPTH)/lib/nss/nss.gyp:nss_static', '<(DEPTH)/lib/pk11wrap/pk11wrap.gyp:pk11wrap_static',
--- a/security/nss/lib/freebl/Makefile +++ b/security/nss/lib/freebl/Makefile @@ -114,36 +114,38 @@ ifeq (,$(filter-out i386 x386 x86 x86_64 $(OBJDIR)/gcm-x86.o: CFLAGS += -mpclmul -maes $(OBJDIR)/aes-x86.o: CFLAGS += -mpclmul -maes ifneq (,$(USE_64)$(USE_X32)) DEFINES += -DNSS_X64 else DEFINES += -DNSS_X86 endif endif +ifdef NS_USE_GCC ifeq ($(CPU_ARCH),aarch64) - DEFINES += -DUSE_HW_AES -DUSE_HW_SHA2 - EXTRA_SRCS += aes-armv8.c gcm-aarch64.c sha256-armv8.c + DEFINES += -DUSE_HW_AES -DUSE_HW_SHA1 -DUSE_HW_SHA2 + EXTRA_SRCS += aes-armv8.c gcm-aarch64.c sha1-armv8.c sha256-armv8.c +endif endif ifeq ($(CPU_ARCH),arm) ifndef NSS_DISABLE_ARM32_NEON EXTRA_SRCS += gcm-arm32-neon.c endif ifdef CC_IS_CLANG - DEFINES += -DUSE_HW_AES -DUSE_HW_SHA2 - EXTRA_SRCS += aes-armv8.c sha256-armv8.c + DEFINES += -DUSE_HW_AES -DUSE_HW_SHA1 -DUSE_HW_SHA2 + EXTRA_SRCS += aes-armv8.c sha1-armv8.c sha256-armv8.c else ifeq (1,$(CC_IS_GCC)) # Old compiler doesn't support ARM AES. ifneq (,$(filter 4.9,$(word 1,$(GCC_VERSION)).$(word 2,$(GCC_VERSION)))) - DEFINES += -DUSE_HW_AES -DUSE_HW_SHA2 - EXTRA_SRCS += aes-armv8.c sha256-armv8.c + DEFINES += -DUSE_HW_AES -DUSE_HW_SHA1 -DUSE_HW_SHA2 + EXTRA_SRCS += aes-armv8.c sha1-armv8.c sha256-armv8.c endif ifeq (,$(filter 0 1 2 3 4,$(word 1,$(GCC_VERSION)))) - DEFINES += -DUSE_HW_AES -DUSE_HW_SHA2 - EXTRA_SRCS += aes-armv8.c sha256-armv8.c + DEFINES += -DUSE_HW_AES -DUSE_HW_SHA1 -DUSE_HW_SHA2 + EXTRA_SRCS += aes-armv8.c sha1-armv8.c sha256-armv8.c endif endif endif ifeq ($(OS_TARGET),OSF1) DEFINES += -DMP_ASSEMBLY_MULTIPLY -DMP_NO_MP_WORD MPI_SRCS += mpvalpha.c endif @@ -193,16 +195,17 @@ else ifdef NS_USE_GCC # Ideally, we should use amd64 assembly code, but it's not yet mingw-w64 # compatible. else # MSVC ifdef BUILD_OPT OPTIMIZER += -Ox # maximum optimization for freebl endif +ifeq ($(CPU_ARCH),x86_64) ASFILES = arcfour-amd64-masm.asm mpi_amd64_masm.asm mp_comba_amd64_masm.asm DEFINES += -DNSS_BEVAND_ARCFOUR -DMPI_AMD64 -DMP_ASSEMBLY_MULTIPLY DEFINES += -DNSS_USE_COMBA # The Intel AES assembly code requires Visual C++ 2010 (10.0). The _xgetbv # compiler intrinsic function requires Visual C++ 2010 (10.0) SP1. ifeq ($(_MSC_VER_GE_10SP1),1) DEFINES += -DUSE_HW_AES -DINTEL_GCM ASFILES += intel-aes-x64-masm.asm intel-gcm-x64-masm.asm @@ -210,16 +213,17 @@ else ifeq ($(CLANG_CL),1) INTEL_GCM_CLANG_CL = 1 endif endif MPI_SRCS += mpi_amd64.c endif endif endif +endif ifeq ($(OS_TARGET),IRIX) ifeq ($(USE_N32),1) ASFILES = mpi_mips.s ifeq ($(NS_USE_GCC),1) ASFLAGS = -Wp,-P -Wp,-traditional -O -mips3 else ASFLAGS = -O -OPT:Olimit=4000 -dollar -fullwarn -xansi -n32 -mips3 @@ -706,26 +710,31 @@ ifdef INTEL_GCM_CLANG_CL endif ifeq ($(CPU_ARCH),arm) # When the compiler uses the softfloat ABI, we want to use the compatible softfp ABI when # enabling NEON for these objects. # Confusingly, __SOFTFP__ is the name of the define for the softfloat ABI, not for the softfp ABI. USES_SOFTFLOAT_ABI := $(shell $(CC) -o - -E -dM - $(CFLAGS) < /dev/null | grep __SOFTFP__ > /dev/null && echo 1) $(OBJDIR)/$(PROG_PREFIX)aes-armv8$(OBJ_SUFFIX): CFLAGS += -march=armv8-a -mfpu=crypto-neon-fp-armv8$(if $(USES_SOFTFLOAT_ABI), -mfloat-abi=softfp) +$(OBJDIR)/$(PROG_PREFIX)sha1-armv8$(OBJ_SUFFIX): CFLAGS += -march=armv8-a -mfpu=crypto-neon-fp-armv8$(if $(USES_SOFTFLOAT_ABI), -mfloat-abi=softfp) $(OBJDIR)/$(PROG_PREFIX)sha256-armv8$(OBJ_SUFFIX): CFLAGS += -march=armv8-a -mfpu=crypto-neon-fp-armv8$(if $(USES_SOFTFLOAT_ABI), -mfloat-abi=softfp) ifndef NSS_DISABLE_ARM32_NEON $(OBJDIR)/$(PROG_PREFIX)gcm-arm32-neon$(OBJ_SUFFIX): CFLAGS += -mfpu=neon$(if $(USES_SOFTFLOAT_ABI), -mfloat-abi=softfp) endif endif + +ifdef NS_USE_GCC ifeq ($(CPU_ARCH),aarch64) $(OBJDIR)/$(PROG_PREFIX)aes-armv8$(OBJ_SUFFIX): CFLAGS += -march=armv8-a+crypto $(OBJDIR)/$(PROG_PREFIX)gcm-aarch64$(OBJ_SUFFIX): CFLAGS += -march=armv8-a+crypto +$(OBJDIR)/$(PROG_PREFIX)sha1-armv8$(OBJ_SUFFIX): CFLAGS += -march=armv8-a+crypto $(OBJDIR)/$(PROG_PREFIX)sha256-armv8$(OBJ_SUFFIX): CFLAGS += -march=armv8-a+crypto endif +endif ifeq ($(CPU_ARCH),ppc) ifndef NSS_DISABLE_ALTIVEC $(OBJDIR)/$(PROG_PREFIX)gcm-ppc$(OBJ_SUFFIX): CFLAGS += -mcrypto -maltivec -mvsx $(OBJDIR)/$(PROG_PREFIX)gcm$(OBJ_SUFFIX): CFLAGS += -mcrypto -maltivec -mvsx $(OBJDIR)/$(PROG_PREFIX)rijndael$(OBJ_SUFFIX): CFLAGS += -mcrypto -maltivec -mvsx $(OBJDIR)/$(PROG_PREFIX)sha512$(OBJ_SUFFIX): CFLAGS += -mcrypto -maltivec -mvsx \ -funroll-loops -fpeel-loops
--- a/security/nss/lib/freebl/blapi.h +++ b/security/nss/lib/freebl/blapi.h @@ -375,16 +375,19 @@ extern SECStatus KEA_Derive(SECItem *pri SECItem *derivedSecret); /* * verify that a KEA or DSA public key is a valid key for this prime and * subprime domain. */ extern PRBool KEA_Verify(SECItem *Y, SECItem *prime, SECItem *subPrime); +/* verify a value is prime */ +PRBool KEA_PrimeCheck(SECItem *prime); + /**************************************** * J-PAKE key transport */ /* Given gx == g^x, create a Schnorr zero-knowledge proof for the value x * using the specified hash algorithm and signer ID. The signature is * returned in the values gv and r. testRandom must be NULL for a PRNG * generated random committment to be used in the sigature. When testRandom
--- a/security/nss/lib/freebl/blapii.h +++ b/security/nss/lib/freebl/blapii.h @@ -80,16 +80,17 @@ SEC_END_PROTOS #undef HAVE_NO_SANITIZE_ATTR SECStatus RSA_Init(); SECStatus generate_prime(mp_int *prime, int primeLen); /* Freebl state. */ PRBool aesni_support(); PRBool clmul_support(); +PRBool sha_support(); PRBool avx_support(); PRBool avx2_support(); PRBool ssse3_support(); PRBool sse4_1_support(); PRBool sse4_2_support(); PRBool arm_neon_support(); PRBool arm_aes_support(); PRBool arm_pmull_support();
--- a/security/nss/lib/freebl/blinit.c +++ b/security/nss/lib/freebl/blinit.c @@ -25,16 +25,17 @@ #include <TargetConditionals.h> #endif static PRCallOnceType coFreeblInit; /* State variables. */ static PRBool aesni_support_ = PR_FALSE; static PRBool clmul_support_ = PR_FALSE; +static PRBool sha_support_ = PR_FALSE; static PRBool avx_support_ = PR_FALSE; static PRBool avx2_support_ = PR_FALSE; static PRBool ssse3_support_ = PR_FALSE; static PRBool sse4_1_support_ = PR_FALSE; static PRBool sse4_2_support_ = PR_FALSE; static PRBool arm_neon_support_ = PR_FALSE; static PRBool arm_aes_support_ = PR_FALSE; static PRBool arm_sha1_support_ = PR_FALSE; @@ -78,41 +79,44 @@ check_xcr0_ymm() #define ECX_AESNI (1 << 25) #define ECX_CLMUL (1 << 1) #define ECX_XSAVE (1 << 26) #define ECX_OSXSAVE (1 << 27) #define ECX_AVX (1 << 28) #define EBX_AVX2 (1 << 5) #define EBX_BMI1 (1 << 3) #define EBX_BMI2 (1 << 8) +#define EBX_SHA (1 << 29) #define ECX_FMA (1 << 12) #define ECX_MOVBE (1 << 22) #define ECX_SSSE3 (1 << 9) #define ECX_SSE4_1 (1 << 19) #define ECX_SSE4_2 (1 << 20) #define AVX_BITS (ECX_XSAVE | ECX_OSXSAVE | ECX_AVX) #define AVX2_EBX_BITS (EBX_AVX2 | EBX_BMI1 | EBX_BMI2) #define AVX2_ECX_BITS (ECX_FMA | ECX_MOVBE) void CheckX86CPUSupport() { unsigned long eax, ebx, ecx, edx; unsigned long eax7, ebx7, ecx7, edx7; char *disable_hw_aes = PR_GetEnvSecure("NSS_DISABLE_HW_AES"); char *disable_pclmul = PR_GetEnvSecure("NSS_DISABLE_PCLMUL"); + char *disable_hw_sha = PR_GetEnvSecure("NSS_DISABLE_HW_SHA"); char *disable_avx = PR_GetEnvSecure("NSS_DISABLE_AVX"); char *disable_avx2 = PR_GetEnvSecure("NSS_DISABLE_AVX2"); char *disable_ssse3 = PR_GetEnvSecure("NSS_DISABLE_SSSE3"); char *disable_sse4_1 = PR_GetEnvSecure("NSS_DISABLE_SSE4_1"); char *disable_sse4_2 = PR_GetEnvSecure("NSS_DISABLE_SSE4_2"); freebl_cpuid(1, &eax, &ebx, &ecx, &edx); freebl_cpuid(7, &eax7, &ebx7, &ecx7, &edx7); aesni_support_ = (PRBool)((ecx & ECX_AESNI) != 0 && disable_hw_aes == NULL); clmul_support_ = (PRBool)((ecx & ECX_CLMUL) != 0 && disable_pclmul == NULL); + sha_support_ = (PRBool)((ebx7 & EBX_SHA) != 0 && disable_hw_sha == NULL); /* For AVX we check AVX, OSXSAVE, and XSAVE * as well as XMM and YMM state. */ avx_support_ = (PRBool)((ecx & AVX_BITS) == AVX_BITS) && check_xcr0_ymm() && disable_avx == NULL; /* For AVX2 we check AVX2, BMI1, BMI2, FMA, MOVBE. * We do not check for AVX above. */ avx2_support_ = (PRBool)((ebx7 & AVX2_EBX_BITS) == AVX2_EBX_BITS && (ecx & AVX2_ECX_BITS) == AVX2_ECX_BITS && @@ -227,16 +231,17 @@ CheckARMSupport() arm_sha1_support_ = ID_AA64ISAR0_SHA1_VAL(isar0) >= ID_AA64ISAR0_SHA1_BASE; arm_sha2_support_ = ID_AA64ISAR0_SHA2_VAL(isar0) >= ID_AA64ISAR0_SHA2_BASE; } #endif /* aarch64 must support NEON. */ arm_neon_support_ = PR_GetEnvSecure("NSS_DISABLE_ARM_NEON") == NULL; arm_aes_support_ &= PR_GetEnvSecure("NSS_DISABLE_HW_AES") == NULL; arm_pmull_support_ &= PR_GetEnvSecure("NSS_DISABLE_PMULL") == NULL; + arm_sha1_support_ &= PR_GetEnvSecure("NSS_DISABLE_HW_SHA1") == NULL; arm_sha2_support_ &= PR_GetEnvSecure("NSS_DISABLE_HW_SHA2") == NULL; } #endif /* defined(__aarch64__) */ #if defined(__arm__) // Defines from hwcap.h in Linux kernel - ARM /* * HWCAP flags - for elf_hwcap (in kernel) and AT_HWCAP @@ -351,16 +356,17 @@ CheckARMSupport() } #endif arm_aes_support_ = hwcaps & HWCAP2_AES && disable_hw_aes == NULL; arm_pmull_support_ = hwcaps & HWCAP2_PMULL; arm_sha1_support_ = hwcaps & HWCAP2_SHA1; arm_sha2_support_ = hwcaps & HWCAP2_SHA2; } arm_neon_support_ = GetNeonSupport(); + arm_sha1_support_ &= PR_GetEnvSecure("NSS_DISABLE_HW_SHA1") == NULL; arm_sha2_support_ &= PR_GetEnvSecure("NSS_DISABLE_HW_SHA2") == NULL; } #endif /* defined(__arm__) */ // Enable when Firefox can use it for Android API 16 and 17. // #if defined(__ANDROID__) && (defined(__arm__) || defined(__aarch64__)) // #include <cpu-features.h> // void @@ -396,16 +402,21 @@ aesni_support() return aesni_support_; } PRBool clmul_support() { return clmul_support_; } PRBool +sha_support() +{ + return sha_support_; +} +PRBool avx_support() { return avx_support_; } PRBool avx2_support() { return avx2_support_;
rename from security/nss/lib/freebl/alg2268.c rename to security/nss/lib/freebl/deprecated/alg2268.c --- a/security/nss/lib/freebl/alg2268.c +++ b/security/nss/lib/freebl/deprecated/alg2268.c @@ -1,21 +1,21 @@ /* * alg2268.c - implementation of the algorithm in RFC 2268 * * This Source Code Form is subject to the terms of the Mozilla Public * License, v. 2.0. If a copy of the MPL was not distributed with this * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ #ifdef FREEBL_NO_DEPEND -#include "stubs.h" +#include "../stubs.h" #endif -#include "blapi.h" -#include "blapii.h" +#include "../blapi.h" +#include "../blapii.h" #include "secerr.h" #ifdef XP_UNIX_XXX #include <stddef.h> /* for ptrdiff_t */ #endif /* ** RC2 symmetric block cypher */
--- a/security/nss/lib/freebl/dh.c +++ b/security/nss/lib/freebl/dh.c @@ -12,16 +12,17 @@ #include "prerr.h" #include "secerr.h" #include "blapi.h" #include "blapii.h" #include "secitem.h" #include "mpi.h" +#include "mpprime.h" #include "secmpi.h" #define KEA_DERIVED_SECRET_LEN 128 /* Lengths are in bytes. */ static unsigned int dh_GetSecretKeyLen(unsigned int primeLen) { @@ -73,17 +74,17 @@ DH_GenParam(int primeLen, DHParams **par MP_DIGITS(&psub1) = 0; MP_DIGITS(&test) = 0; CHECK_MPI_OK(mp_init(&p)); CHECK_MPI_OK(mp_init(&q)); CHECK_MPI_OK(mp_init(&a)); CHECK_MPI_OK(mp_init(&h)); CHECK_MPI_OK(mp_init(&psub1)); CHECK_MPI_OK(mp_init(&test)); - /* generate prime with MPI, uses Miller-Rabin to generate strong prime. */ + /* generate prime with MPI, uses Miller-Rabin to generate safe prime. */ CHECK_SEC_OK(generate_prime(&p, primeLen)); /* construct Sophie-Germain prime q = (p-1)/2. */ CHECK_MPI_OK(mp_sub_d(&p, 1, &psub1)); CHECK_MPI_OK(mp_div_2(&psub1, &q)); /* construct a generator from the prime. */ ab = PORT_Alloc(primeLen); if (!ab) { PORT_SetError(SEC_ERROR_NO_MEMORY); @@ -252,27 +253,27 @@ DH_Derive(SECItem *publicValue, /* number of bytes in the derived secret */ len = mp_unsigned_octet_size(&ZZ); if (len <= 0) { err = MP_BADARG; goto cleanup; } /* - * We check to make sure that ZZ is not equal to 1 or -1 mod p. + * We check to make sure that ZZ is not equal to 0, 1 or -1 mod p. * This helps guard against small subgroup attacks, since an attacker - * using a subgroup of size N will produce 1 or -1 with probability 1/N. + * using a subgroup of size N will produce 0, 1 or -1 with probability 1/N. * When the protocol is executed within a properly large subgroup, the * probability of this result will be negligibly small. For example, - * with a strong prime of the form 2p+1, the probability will be 1/p. + * with a safe prime of the form 2q+1, the probability will be 1/q. * * We return MP_BADARG because this is probably the result of a bad * public value or a bad prime having been provided. */ - if (mp_cmp_d(&ZZ, 1) == 0 || + if (mp_cmp_d(&ZZ, 0) == 0 || mp_cmp_d(&ZZ, 1) == 0 || mp_cmp(&ZZ, &psub1) == 0) { err = MP_BADARG; goto cleanup; } /* allocate a buffer which can hold the entire derived secret. */ secret = PORT_Alloc(len); if (secret == NULL) { @@ -408,16 +409,45 @@ cleanup: MP_TO_SEC_ERROR(err); if (derivedSecret->data) PORT_ZFree(derivedSecret->data, derivedSecret->len); return SECFailure; } return SECSuccess; } +/* Test counts based on the fact the prime and subprime + * were given to us */ +static int +dh_prime_testcount(int prime_length) +{ + if (prime_length < 1024) { + return 50; + } else if (prime_length < 2048) { + return 40; + } else if (prime_length < 3072) { + return 56; + } + return 64; +} + +PRBool +KEA_PrimeCheck(SECItem *prime) +{ + mp_int p; + mp_err err = 0; + MP_DIGITS(&p) = 0; + CHECK_MPI_OK(mp_init(&p)); + SECITEM_TO_MPINT(*prime, &p); + CHECK_MPI_OK(mpp_pprime(&p, dh_prime_testcount(prime->len))); +cleanup: + mp_clear(&p); + return err ? PR_FALSE : PR_TRUE; +} + PRBool KEA_Verify(SECItem *Y, SECItem *prime, SECItem *subPrime) { mp_int p, q, y, r; mp_err err; int cmp = 1; /* default is false */ if (!Y || !prime || !subPrime) { PORT_SetError(SEC_ERROR_INVALID_ARGS);
--- a/security/nss/lib/freebl/freebl.gyp +++ b/security/nss/lib/freebl/freebl.gyp @@ -324,16 +324,17 @@ 'FREEBL_NO_DEPEND', ], }, { 'target_name': 'armv8_c_lib', 'type': 'static_library', 'sources': [ 'aes-armv8.c', + 'sha1-armv8.c', 'sha256-armv8.c', ], 'dependencies': [ '<(DEPTH)/exports.gyp:nss_exports' ], 'conditions': [ [ 'target_arch=="arm"', { 'cflags': [ @@ -380,17 +381,17 @@ 'hw-acc-crypto-avx', 'hw-acc-crypto-avx2', ], 'conditions': [ [ 'target_arch=="ia32" or target_arch=="x64"', { 'dependencies': [ 'gcm-aes-x86_c_lib', ], - }, '(disable_arm_hw_aes==0 or disable_arm_hw_sha2==0) and (target_arch=="arm" or target_arch=="arm64" or target_arch=="aarch64")', { + }, '(disable_arm_hw_aes==0 or disable_arm_hw_sha1==0 or disable_arm_hw_sha2==0) and (target_arch=="arm" or target_arch=="arm64" or target_arch=="aarch64")', { 'dependencies': [ 'armv8_c_lib' ], }], [ 'disable_arm32_neon==0 and target_arch=="arm"', { 'dependencies': [ 'gcm-aes-arm32-neon_c_lib', ], @@ -638,16 +639,21 @@ }, }, }], [ 'OS=="win" and (target_arch=="arm64" or target_arch=="aarch64") and disable_arm_hw_aes==0', { 'defines': [ 'USE_HW_AES', ], }], + [ 'OS=="win" and (target_arch=="arm64" or target_arch=="aarch64") and disable_arm_hw_sha1==0', { + 'defines': [ + 'USE_HW_SHA1', + ], + }], [ 'OS=="win" and (target_arch=="arm64" or target_arch=="aarch64") and disable_arm_hw_sha2==0', { 'defines': [ 'USE_HW_SHA2', ], }], [ 'cc_use_gnu_ld==1 and OS=="win" and target_arch=="x64"', { # mingw x64 'defines': [ @@ -707,16 +713,21 @@ 'ARMHF', ], }], [ 'disable_arm_hw_aes==0 and (target_arch=="arm" or target_arch=="arm64" or target_arch=="aarch64")', { 'defines': [ 'USE_HW_AES', ], }], + [ 'disable_arm_hw_sha1==0 and (target_arch=="arm" or target_arch=="arm64" or target_arch=="aarch64")', { + 'defines': [ + 'USE_HW_SHA1', + ], + }], [ 'disable_arm_hw_sha2==0 and (target_arch=="arm" or target_arch=="arm64" or target_arch=="aarch64")', { 'defines': [ 'USE_HW_SHA2', ], }], ], }], ],
--- a/security/nss/lib/freebl/freebl_base.gypi +++ b/security/nss/lib/freebl/freebl_base.gypi @@ -1,15 +1,14 @@ # This Source Code Form is subject to the terms of the Mozilla Public # License, v. 2.0. If a copy of the MPL was not distributed with this # file, You can obtain one at http://mozilla.org/MPL/2.0/. { 'sources': [ 'aeskeywrap.c', - 'alg2268.c', 'cmac.c', 'alghmac.c', 'arcfive.c', 'arcfour.c', 'blake2b.c', 'camellia.c', 'chacha20poly1305.c', 'crypto_primitives.c', @@ -162,16 +161,21 @@ 'verified/Hacl_Poly1305_32.c', ], }], [ 'disable_deprecated_seed==0', { 'sources': [ 'deprecated/seed.c', ], }], + [ 'disable_deprecated_rc2==0', { + 'sources': [ + 'deprecated/alg2268.c', + ], + }], [ 'fuzz==1', { 'sources!': [ 'drbg.c' ], 'sources': [ 'det_rng.c' ], }], [ 'fuzz_tls==1', { 'defines': [ 'UNSAFE_FUZZER_MODE', ],
--- a/security/nss/lib/freebl/ldvector.c +++ b/security/nss/lib/freebl/ldvector.c @@ -43,20 +43,27 @@ static const struct FREEBLVectorStr vect DH_NewKey, DH_Derive, KEA_Derive, KEA_Verify, RC4_CreateContext, RC4_DestroyContext, RC4_Encrypt, RC4_Decrypt, +#ifndef NSS_DISABLE_DEPRECATED_RC2 RC2_CreateContext, RC2_DestroyContext, RC2_Encrypt, RC2_Decrypt, +#else + (F_RC2_CreateContext)FREEBL_Deprecated, + (F_RC2_DestroyContext)FREEBL_Deprecated, + (F_RC2_Encrypt)FREEBL_Deprecated, + (F_RC2_Decrypt)FREEBL_Deprecated, +#endif RC5_CreateContext, RC5_DestroyContext, RC5_Encrypt, RC5_Decrypt, DES_CreateContext, DES_DestroyContext, DES_Encrypt, DES_Decrypt, @@ -170,23 +177,31 @@ static const struct FREEBLVectorStr vect ECDSA_SignDigestWithSeed, /* End of Version 3.006. */ /* End of Version 3.007. */ AES_InitContext, AESKeyWrap_InitContext, DES_InitContext, +#ifndef NSS_DISABLE_DEPRECATED_RC2 RC2_InitContext, +#else + (F_RC2_InitContext)FREEBL_Deprecated, +#endif RC4_InitContext, AES_AllocateContext, AESKeyWrap_AllocateContext, DES_AllocateContext, +#ifndef NSS_DISABLE_DEPRECATED_RC2 RC2_AllocateContext, +#else + (F_RC2_AllocateContext)FREEBL_Deprecated, +#endif RC4_AllocateContext, MD2_Clone, MD5_Clone, SHA1_Clone, SHA256_Clone, SHA384_Clone, SHA512_Clone, @@ -348,19 +363,22 @@ static const struct FREEBLVectorStr vect CMAC_Finish, CMAC_Destroy, /* End of version 3.022 */ ChaCha20Poly1305_Encrypt, ChaCha20Poly1305_Decrypt, AES_AEAD, AESKeyWrap_EncryptKWP, - AESKeyWrap_DecryptKWP + AESKeyWrap_DecryptKWP, /* End of version 3.023 */ + KEA_PrimeCheck + + /* End of version 3.024 */ }; const FREEBLVector* FREEBL_GetVector(void) { #ifdef FREEBL_NO_DEPEND SECStatus rv; #endif
--- a/security/nss/lib/freebl/loader.c +++ b/security/nss/lib/freebl/loader.c @@ -231,16 +231,24 @@ KEA_Derive(SECItem *prime, SECItem *publ PRBool KEA_Verify(SECItem *Y, SECItem *prime, SECItem *subPrime) { if (!vector && PR_SUCCESS != freebl_RunLoaderOnce()) return PR_FALSE; return (vector->p_KEA_Verify)(Y, prime, subPrime); } +PRBool +KEA_PrimeCheck(SECItem *prime) +{ + if (!vector && PR_SUCCESS != freebl_RunLoaderOnce()) + return PR_FALSE; + return (vector->p_KEA_PrimeCheck)(prime); +} + RC4Context * RC4_CreateContext(const unsigned char *key, int len) { if (!vector && PR_SUCCESS != freebl_RunLoaderOnce()) return NULL; return (vector->p_RC4_CreateContext)(key, len); } @@ -275,47 +283,63 @@ RC4_Decrypt(RC4Context *cx, unsigned cha } RC2Context * RC2_CreateContext(const unsigned char *key, unsigned int len, const unsigned char *iv, int mode, unsigned effectiveKeyLen) { if (!vector && PR_SUCCESS != freebl_RunLoaderOnce()) return NULL; +#ifndef NSS_DISABLE_DEPRECATED_RC2 return (vector->p_RC2_CreateContext)(key, len, iv, mode, effectiveKeyLen); +#else + return NULL; +#endif } void RC2_DestroyContext(RC2Context *cx, PRBool freeit) { if (!vector && PR_SUCCESS != freebl_RunLoaderOnce()) return; +#ifndef NSS_DISABLE_DEPRECATED_RC2 (vector->p_RC2_DestroyContext)(cx, freeit); +#else + return; +#endif } SECStatus RC2_Encrypt(RC2Context *cx, unsigned char *output, unsigned int *outputLen, unsigned int maxOutputLen, const unsigned char *input, unsigned int inputLen) { if (!vector && PR_SUCCESS != freebl_RunLoaderOnce()) return SECFailure; +#ifndef NSS_DISABLE_DEPRECATED_RC2 return (vector->p_RC2_Encrypt)(cx, output, outputLen, maxOutputLen, input, inputLen); +#else + return SECFailure; +#endif } SECStatus RC2_Decrypt(RC2Context *cx, unsigned char *output, unsigned int *outputLen, unsigned int maxOutputLen, const unsigned char *input, unsigned int inputLen) { if (!vector && PR_SUCCESS != freebl_RunLoaderOnce()) return SECFailure; +#ifndef NSS_DISABLE_DEPRECATED_RC2 return (vector->p_RC2_Decrypt)(cx, output, outputLen, maxOutputLen, input, inputLen); +#else + return SECFailure; +#endif } RC5Context * RC5_CreateContext(const SECItem *key, unsigned int rounds, unsigned int wordSize, const unsigned char *iv, int mode) { if (!vector && PR_SUCCESS != freebl_RunLoaderOnce()) return NULL; @@ -1302,17 +1326,21 @@ DES_AllocateContext(void) return (vector->p_DES_AllocateContext)(); } RC2Context * RC2_AllocateContext(void) { if (!vector && PR_SUCCESS != freebl_RunLoaderOnce()) return NULL; +#ifndef NSS_DISABLE_DEPRECATED_RC2 return (vector->p_RC2_AllocateContext)(); +#else + return NULL; +#endif } RC4Context * RC4_AllocateContext(void) { if (!vector && PR_SUCCESS != freebl_RunLoaderOnce()) return NULL; return (vector->p_RC4_AllocateContext)(); @@ -1366,18 +1394,22 @@ SEED_InitContext(SEEDContext *cx, const SECStatus RC2_InitContext(RC2Context *cx, const unsigned char *key, unsigned int keylen, const unsigned char *iv, int mode, unsigned int effectiveKeyLen, unsigned int xtra) { if (!vector && PR_SUCCESS != freebl_RunLoaderOnce()) return SECFailure; +#ifndef NSS_DISABLE_DEPRECATED_RC2 return (vector->p_RC2_InitContext)(cx, key, keylen, iv, mode, effectiveKeyLen, xtra); +#else + return SECFailure; +#endif } SECStatus RC4_InitContext(RC4Context *cx, const unsigned char *key, unsigned int keylen, const unsigned char *x1, int x2, unsigned int x3, unsigned int x4) { if (!vector && PR_SUCCESS != freebl_RunLoaderOnce())
--- a/security/nss/lib/freebl/loader.h +++ b/security/nss/lib/freebl/loader.h @@ -5,17 +5,17 @@ * License, v. 2.0. If a copy of the MPL was not distributed with this * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ #ifndef _LOADER_H_ #define _LOADER_H_ 1 #include "blapi.h" -#define FREEBL_VERSION 0x0323 +#define FREEBL_VERSION 0x0324 struct FREEBLVectorStr { unsigned short length; /* of this struct in bytes */ unsigned short version; /* of this struct. */ RSAPrivateKey *(*p_RSA_NewKey)(int keySizeInBits, SECItem *publicExponent); @@ -807,16 +807,19 @@ struct FREEBLVectorStr { unsigned char *output, unsigned int *outputLen, unsigned int maxOutputLen, const unsigned char *input, unsigned int inputLen); /* Version 3.023 came to here */ + PRBool (*p_KEA_PrimeCheck)(SECItem *prime); + /* Version 3.024 came to here */ + /* Add new function pointers at the end of this struct and bump * FREEBL_VERSION at the beginning of this file. */ }; typedef struct FREEBLVectorStr FREEBLVector; #ifdef FREEBL_LOWHASH #include "nsslowhash.h" @@ -883,8 +886,34 @@ typedef void (*F_SEED_DestroyContext)(SE typedef SECStatus (*F_SEED_Encrypt)(SEEDContext *cx, unsigned char *output, unsigned int *outputLen, unsigned int maxOutputLen, const unsigned char *input, unsigned int inputLen); typedef SECStatus (*F_SEED_Decrypt)(SEEDContext *cx, unsigned char *output, unsigned int *outputLen, unsigned int maxOutputLen, const unsigned char *input, unsigned int inputLen); #endif + +#ifdef NSS_DISABLE_DEPRECATED_RC2 +typedef RC2Context *(*F_RC2_CreateContext)(const unsigned char *key, + unsigned int len, const unsigned char *iv, + int mode, unsigned effectiveKeyLen); + +typedef void (*F_RC2_DestroyContext)(RC2Context *cx, PRBool freeit); + +typedef SECStatus (*F_RC2_Encrypt)(RC2Context *cx, unsigned char *output, + unsigned int *outputLen, unsigned int maxOutputLen, + const unsigned char *input, unsigned int inputLen); + +typedef SECStatus (*F_RC2_Decrypt)(RC2Context *cx, unsigned char *output, + unsigned int *outputLen, unsigned int maxOutputLen, + const unsigned char *input, unsigned int inputLen); + +typedef SECStatus (*F_RC2_InitContext)(RC2Context *cx, + const unsigned char *key, + unsigned int keylen, + const unsigned char *iv, + int mode, + unsigned int effectiveKeyLen, + unsigned int); + +typedef RC2Context *(*F_RC2_AllocateContext)(void); +#endif
--- a/security/nss/lib/freebl/manifest.mn +++ b/security/nss/lib/freebl/manifest.mn @@ -118,17 +118,16 @@ CSRCS = \ sysrand.c \ $(SHA_SRCS) \ md2.c \ md5.c \ sha512.c \ cmac.c \ alghmac.c \ rawhash.c \ - alg2268.c \ arcfour.c \ arcfive.c \ crypto_primitives.c \ blake2b.c \ desblapi.c \ des.c \ drbg.c \ chacha20poly1305.c \ @@ -159,16 +158,20 @@ CSRCS = \ $(LOWHASH_SRCS) \ $(EXTRA_SRCS) \ $(NULL) ifndef NSS_DISABLE_DEPRECATED_SEED CSRCS += deprecated/seed.c endif +ifndef NSS_DISABLE_DEPRECATED_RC2 + CSRCS += deprecated/alg2268.c +endif + ALL_CSRCS := $(CSRCS) ALL_HDRS = \ cmac.h \ alghmac.h \ blake2b.h \ blapi.h \ blapit.h \
new file mode 100644 --- /dev/null +++ b/security/nss/lib/freebl/sha1-armv8.c @@ -0,0 +1,260 @@ +/* This Source Code Form is subject to the terms of the Mozilla Public + * License, v. 2.0. If a copy of the MPL was not distributed with this + * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ + +#ifdef __ARM_FEATURE_CRYPTO + +#ifdef FREEBL_NO_DEPEND +#include "stubs.h" +#endif + +#include <arm_neon.h> +#include <memory.h> +#include "blapi.h" +#include "sha_fast.h" + +#if !defined(SHA_PUT_W_IN_STACK) +#define H2X 11 +#else +#define H2X 0 +#endif + +static void shaCompress(SHA_HW_t *X, const PRUint32 *datain); + +void +SHA1_Compress_Native(SHA1Context *ctx) +{ + shaCompress(&ctx->H[H2X], ctx->u.w); +} + +/* + * SHA: Add data to context. + */ +void +SHA1_Update_Native(SHA1Context *ctx, const unsigned char *dataIn, unsigned int len) +{ + unsigned int lenB; + unsigned int togo; + + if (!len) { + return; + } + + /* accumulate the byte count. */ + lenB = (unsigned int)(ctx->size) & 63U; + + ctx->size += len; + + /* + * Read the data into W and process blocks as they get full + */ + if (lenB > 0) { + togo = 64U - lenB; + if (len < togo) { + togo = len; + } + memcpy(ctx->u.b + lenB, dataIn, togo); + len -= togo; + dataIn += togo; + lenB = (lenB + togo) & 63U; + if (!lenB) { + shaCompress(&ctx->H[H2X], ctx->u.w); + } + } + + while (len >= 64U) { + len -= 64U; + shaCompress(&ctx->H[H2X], (PRUint32 *)dataIn); + dataIn += 64U; + } + + if (len) { + memcpy(ctx->u.b, dataIn, len); + } +} + +/* + * SHA: Compression function, unrolled. + */ +static void +shaCompress(SHA_HW_t *X, const PRUint32 *inbuf) +{ +#define XH(n) X[n - H2X] + + const uint32x4_t K0 = vdupq_n_u32(0x5a827999); + const uint32x4_t K1 = vdupq_n_u32(0x6ed9eba1); + const uint32x4_t K2 = vdupq_n_u32(0x8f1bbcdc); + const uint32x4_t K3 = vdupq_n_u32(0xca62c1d6); + + uint32x4_t abcd = vld1q_u32(&XH(0)); + PRUint32 e = XH(4); + + const uint32x4_t origABCD = abcd; + const PRUint32 origE = e; + + uint32x4_t w0 = vld1q_u32(inbuf); + uint32x4_t w1 = vld1q_u32(inbuf + 4); + uint32x4_t w2 = vld1q_u32(inbuf + 8); + uint32x4_t w3 = vld1q_u32(inbuf + 12); + + w0 = vreinterpretq_u32_u8(vrev32q_u8(vreinterpretq_u8_u32(w0))); + w1 = vreinterpretq_u32_u8(vrev32q_u8(vreinterpretq_u8_u32(w1))); + w2 = vreinterpretq_u32_u8(vrev32q_u8(vreinterpretq_u8_u32(w2))); + w3 = vreinterpretq_u32_u8(vrev32q_u8(vreinterpretq_u8_u32(w3))); + + uint32x4_t t0 = vaddq_u32(w0, K0); + uint32x4_t t1 = vaddq_u32(w1, K0); + + PRUint32 tmpE; + + /* + * Using the following ARM instructions to accelerate SHA1 + * + * sha1c for round 0 - 20 + * sha1p for round 20 - 40 + * sha1m for round 40 - 60 + * sha1p for round 60 - 80 + * sha1su0 and shasu1 for message schedule + * sha1h for rotate left 30 + */ + + /* Round 0-3 */ + tmpE = vsha1h_u32(vgetq_lane_u32(abcd, 0)); + abcd = vsha1cq_u32(abcd, e, t0); + t0 = vaddq_u32(w2, K0); + w0 = vsha1su0q_u32(w0, w1, w2); + + /* Round 4-7 */ + e = vsha1h_u32(vgetq_lane_u32(abcd, 0)); + abcd = vsha1cq_u32(abcd, tmpE, t1); + t1 = vaddq_u32(w3, K0); + w0 = vsha1su1q_u32(w0, w3); + w1 = vsha1su0q_u32(w1, w2, w3); + + /* Round 8-11 */ + tmpE = vsha1h_u32(vgetq_lane_u32(abcd, 0)); + abcd = vsha1cq_u32(abcd, e, t0); + t0 = vaddq_u32(w0, K0); + w1 = vsha1su1q_u32(w1, w0); + w2 = vsha1su0q_u32(w2, w3, w0); + + /* Round 12-15 */ + e = vsha1h_u32(vgetq_lane_u32(abcd, 0)); + abcd = vsha1cq_u32(abcd, tmpE, t1); + t1 = vaddq_u32(w1, K1); + w2 = vsha1su1q_u32(w2, w1); + w3 = vsha1su0q_u32(w3, w0, w1); + + /* Round 16-19 */ + tmpE = vsha1h_u32(vgetq_lane_u32(abcd, 0)); + abcd = vsha1cq_u32(abcd, e, t0); + t0 = vaddq_u32(w2, K1); + w3 = vsha1su1q_u32(w3, w2); + w0 = vsha1su0q_u32(w0, w1, w2); + + /* Round 20-23 */ + e = vsha1h_u32(vgetq_lane_u32(abcd, 0)); + abcd = vsha1pq_u32(abcd, tmpE, t1); + t1 = vaddq_u32(w3, K1); + w0 = vsha1su1q_u32(w0, w3); + w1 = vsha1su0q_u32(w1, w2, w3); + + /* Round 24-27 */ + tmpE = vsha1h_u32(vgetq_lane_u32(abcd, 0)); + abcd = vsha1pq_u32(abcd, e, t0); + t0 = vaddq_u32(w0, K1); + w1 = vsha1su1q_u32(w1, w0); + w2 = vsha1su0q_u32(w2, w3, w0); + + /* Round 28-31 */ + e = vsha1h_u32(vgetq_lane_u32(abcd, 0)); + abcd = vsha1pq_u32(abcd, tmpE, t1); + t1 = vaddq_u32(w1, K1); + w2 = vsha1su1q_u32(w2, w1); + w3 = vsha1su0q_u32(w3, w0, w1); + + /* Round 32-35 */ + tmpE = vsha1h_u32(vgetq_lane_u32(abcd, 0)); + abcd = vsha1pq_u32(abcd, e, t0); + t0 = vaddq_u32(w2, K2); + w3 = vsha1su1q_u32(w3, w2); + w0 = vsha1su0q_u32(w0, w1, w2); + + /* Round 36-39 */ + e = vsha1h_u32(vgetq_lane_u32(abcd, 0)); + abcd = vsha1pq_u32(abcd, tmpE, t1); + t1 = vaddq_u32(w3, K2); + w0 = vsha1su1q_u32(w0, w3); + w1 = vsha1su0q_u32(w1, w2, w3); + + /* Round 40-43 */ + tmpE = vsha1h_u32(vgetq_lane_u32(abcd, 0)); + abcd = vsha1mq_u32(abcd, e, t0); + t0 = vaddq_u32(w0, K2); + w1 = vsha1su1q_u32(w1, w0); + w2 = vsha1su0q_u32(w2, w3, w0); + + /* Round 44-47 */ + e = vsha1h_u32(vgetq_lane_u32(abcd, 0)); + abcd = vsha1mq_u32(abcd, tmpE, t1); + t1 = vaddq_u32(w1, K2); + w2 = vsha1su1q_u32(w2, w1); + w3 = vsha1su0q_u32(w3, w0, w1); + + /* Round 48-51 */ + tmpE = vsha1h_u32(vgetq_lane_u32(abcd, 0)); + abcd = vsha1mq_u32(abcd, e, t0); + t0 = vaddq_u32(w2, K2); + w3 = vsha1su1q_u32(w3, w2); + w0 = vsha1su0q_u32(w0, w1, w2); + + /* Round 52-55 */ + e = vsha1h_u32(vgetq_lane_u32(abcd, 0)); + abcd = vsha1mq_u32(abcd, tmpE, t1); + t1 = vaddq_u32(w3, K3); + w0 = vsha1su1q_u32(w0, w3); + w1 = vsha1su0q_u32(w1, w2, w3); + + /* Round 56-59 */ + tmpE = vsha1h_u32(vgetq_lane_u32(abcd, 0)); + abcd = vsha1mq_u32(abcd, e, t0); + t0 = vaddq_u32(w0, K3); + w1 = vsha1su1q_u32(w1, w0); + w2 = vsha1su0q_u32(w2, w3, w0); + + /* Round 60-63 */ + e = vsha1h_u32(vgetq_lane_u32(abcd, 0)); + abcd = vsha1pq_u32(abcd, tmpE, t1); + t1 = vaddq_u32(w1, K3); + w2 = vsha1su1q_u32(w2, w1); + w3 = vsha1su0q_u32(w3, w0, w1); + + /* Round 64-67 */ + tmpE = vsha1h_u32(vgetq_lane_u32(abcd, 0)); + abcd = vsha1pq_u32(abcd, e, t0); + t0 = vaddq_u32(w2, K3); + w3 = vsha1su1q_u32(w3, w2); + w0 = vsha1su0q_u32(w0, w1, w2); + + /* Round 68-71 */ + e = vsha1h_u32(vgetq_lane_u32(abcd, 0)); + abcd = vsha1pq_u32(abcd, tmpE, t1); + t1 = vaddq_u32(w3, K3); + w0 = vsha1su1q_u32(w0, w3); + + /* Round 72-75 */ + tmpE = vsha1h_u32(vgetq_lane_u32(abcd, 0)); + abcd = vsha1pq_u32(abcd, e, t0); + + /* Round 76-79 */ + e = vsha1h_u32(vgetq_lane_u32(abcd, 0)); + abcd = vsha1pq_u32(abcd, tmpE, t1); + + e += origE; + abcd = vaddq_u32(origABCD, abcd); + + vst1q_u32(&XH(0), abcd); + XH(4) = e; +} + +#endif /* __ARM_FEATURE_CRYPTO */
--- a/security/nss/lib/freebl/sha_fast.c +++ b/security/nss/lib/freebl/sha_fast.c @@ -5,16 +5,17 @@ #ifdef FREEBL_NO_DEPEND #include "stubs.h" #endif #include <memory.h> #include "blapi.h" #include "sha_fast.h" #include "prerror.h" +#include "secerr.h" #ifdef TRACING_SSL #include "ssl.h" #include "ssltrace.h" #endif static void shaCompress(volatile SHA_HW_t *X, const PRUint32 *datain); @@ -23,31 +24,65 @@ static void shaCompress(volatile SHA_HW_ #define SHA_F1(X, Y, Z) ((((Y) ^ (Z)) & (X)) ^ (Z)) #define SHA_F2(X, Y, Z) ((X) ^ (Y) ^ (Z)) #define SHA_F3(X, Y, Z) (((X) & (Y)) | ((Z) & ((X) | (Y)))) #define SHA_F4(X, Y, Z) ((X) ^ (Y) ^ (Z)) #define SHA_MIX(n, a, b, c) XW(n) = SHA_ROTL(XW(a) ^ XW(b) ^ XW(c) ^ XW(n), 1) +void SHA1_Compress_Native(SHA1Context *ctx); +void SHA1_Update_Native(SHA1Context *ctx, const unsigned char *dataIn, unsigned int len); + +static void SHA1_Compress_Generic(SHA1Context *ctx); +static void SHA1_Update_Generic(SHA1Context *ctx, const unsigned char *dataIn, unsigned int len); + +#ifndef USE_HW_SHA1 +void +SHA1_Compress_Native(SHA1Context *ctx) +{ + PORT_SetError(SEC_ERROR_LIBRARY_FAILURE); + PORT_Assert(0); +} + +void +SHA1_Update_Native(SHA1Context *ctx, const unsigned char *dataIn, unsigned int len) +{ + PORT_SetError(SEC_ERROR_LIBRARY_FAILURE); + PORT_Assert(0); +} +#endif + /* * SHA: initialize context */ void SHA1_Begin(SHA1Context *ctx) { ctx->size = 0; /* * Initialize H with constants from FIPS180-1. */ ctx->H[0] = 0x67452301L; ctx->H[1] = 0xefcdab89L; ctx->H[2] = 0x98badcfeL; ctx->H[3] = 0x10325476L; ctx->H[4] = 0xc3d2e1f0L; + +#if defined(USE_HW_SHA1) && defined(IS_LITTLE_ENDIAN) + /* arm's implementation is tested on little endian only */ + if (arm_sha1_support()) { + ctx->compress = SHA1_Compress_Native; + ctx->update = SHA1_Update_Native; + } else +#endif + { + ctx->compress = SHA1_Compress_Generic; + ctx->update = SHA1_Update_Generic; + } } /* Explanation of H array and index values: * The context's H array is actually the concatenation of two arrays * defined by SHA1, the H array of state variables (5 elements), * and the W array of intermediate values, of which there are 16 elements. * The W array starts at H[5], that is W[0] is H[5]. * Although these values are defined as 32-bit values, we use 64-bit @@ -84,16 +119,22 @@ SHA1_Begin(SHA1Context *ctx) #endif /* * SHA: Add data to context. */ void SHA1_Update(SHA1Context *ctx, const unsigned char *dataIn, unsigned int len) { + ctx->update(ctx, dataIn, len); +} + +static void +SHA1_Update_Generic(SHA1Context *ctx, const unsigned char *dataIn, unsigned int len) +{ register unsigned int lenB; register unsigned int togo; if (!len) return; /* accumulate the byte count. */ lenB = (unsigned int)(ctx->size) & 63U; @@ -161,17 +202,17 @@ SHA1_End(SHA1Context *ctx, unsigned char lenB = (PRUint32)size & 63; SHA1_Update(ctx, bulk_pad, (((55 + 64) - lenB) & 63) + 1); PORT_Assert(((PRUint32)ctx->size & 63) == 56); /* Convert size from bytes to bits. */ size <<= 3; ctx->W[14] = SHA_HTONL((PRUint32)(size >> 32)); ctx->W[15] = SHA_HTONL((PRUint32)size); - shaCompress(&ctx->H[H2X], ctx->W); + ctx->compress(ctx); /* * Output hash */ SHA_STORE_RESULT; if (pDigestLen) { *pDigestLen = SHA1_LENGTH; } @@ -455,16 +496,22 @@ shaCompress(volatile SHA_HW_t *X, const XH(0) += A; XH(1) += B; XH(2) += C; XH(3) += D; XH(4) += E; } +static void +SHA1_Compress_Generic(SHA1Context *ctx) +{ + shaCompress(&ctx->H[H2X], ctx->u.w); +} + /************************************************************************* ** Code below this line added to make SHA code support BLAPI interface */ SHA1Context * SHA1_NewContext(void) { SHA1Context *cx; @@ -486,17 +533,17 @@ SHA1_DestroyContext(SHA1Context *cx, PRB SECStatus SHA1_HashBuf(unsigned char *dest, const unsigned char *src, PRUint32 src_length) { SHA1Context ctx; unsigned int outLen; SHA1_Begin(&ctx); - SHA1_Update(&ctx, src, src_length); + ctx.update(&ctx, src, src_length); SHA1_End(&ctx, dest, &outLen, SHA1_LENGTH); memset(&ctx, 0, sizeof ctx); return SECSuccess; } /* Hash a null-terminated character string. */ SECStatus SHA1_Hash(unsigned char *dest, const char *src)
--- a/security/nss/lib/freebl/sha_fast.h +++ b/security/nss/lib/freebl/sha_fast.h @@ -5,30 +5,38 @@ #ifndef _SHA_FAST_H_ #define _SHA_FAST_H_ #include "prlong.h" #include "blapii.h" #define SHA1_INPUT_LEN 64 -#if defined(IS_64) && !defined(__sparc) +#if defined(IS_64) && !defined(__sparc) && !defined(__aarch64__) typedef PRUint64 SHA_HW_t; #define SHA1_USING_64_BIT 1 #else typedef PRUint32 SHA_HW_t; #endif +struct SHA1ContextStr; + +typedef void (*sha1_compress_t)(struct SHA1ContextStr *); +typedef void (*sha1_update_t)(struct SHA1ContextStr *, const unsigned char *, + unsigned int); + struct SHA1ContextStr { union { PRUint32 w[16]; /* input buffer */ PRUint8 b[64]; } u; PRUint64 size; /* count of hashed bytes. */ SHA_HW_t H[22]; /* 5 state variables, 16 tmp values, 1 extra */ + sha1_compress_t compress; + sha1_update_t update; }; #if defined(_MSC_VER) #include <stdlib.h> #if defined(IS_LITTLE_ENDIAN) #if (_MSC_VER >= 1300) #pragma intrinsic(_byteswap_ulong) #define SHA_HTONL(x) _byteswap_ulong(x) @@ -130,17 +138,17 @@ swap4b(PRUint32 value) ((tmp & SHA_MASK) << 8) | ((tmp >> 8) & SHA_MASK)) #else #define SHA_HTONL(x) (x) #endif #endif #define SHA_BYTESWAP(x) x = SHA_HTONL(x) -#define SHA_STORE(n) ((PRUint32*)hashout)[n] = SHA_HTONL(ctx->H[n]) +#define SHA_STORE(n) ((PRUint32 *)hashout)[n] = SHA_HTONL(ctx->H[n]) #if defined(HAVE_UNALIGNED_ACCESS) #define SHA_STORE_RESULT \ SHA_STORE(0); \ SHA_STORE(1); \ SHA_STORE(2); \ SHA_STORE(3); \ SHA_STORE(4);
--- a/security/nss/lib/nss/nss.h +++ b/security/nss/lib/nss/nss.h @@ -17,22 +17,22 @@ /* * NSS's major version, minor version, patch level, build number, and whether * this is a beta release. * * The format of the version string should be * "<major version>.<minor version>[.<patch level>[.<build number>]][ <ECC>][ <Beta>]" */ -#define NSS_VERSION "3.55" _NSS_CUSTOMIZED +#define NSS_VERSION "3.56" _NSS_CUSTOMIZED " Beta" #define NSS_VMAJOR 3 -#define NSS_VMINOR 55 +#define NSS_VMINOR 56 #define NSS_VPATCH 0 #define NSS_VBUILD 0 -#define NSS_BETA PR_FALSE +#define NSS_BETA PR_TRUE #ifndef RC_INVOKED #include "seccomon.h" typedef struct NSSInitParametersStr NSSInitParameters; /*
--- a/security/nss/lib/softoken/lowpbe.c +++ b/security/nss/lib/softoken/lowpbe.c @@ -884,28 +884,30 @@ nsspkcs5_FillInParam(SECOidTag algorithm pbe_param->hashType = HASH_AlgMD5; /* fall through */ case SEC_OID_PKCS5_PBE_WITH_SHA1_AND_DES_CBC: finish_des: pbe_param->keyLen = 8; pbe_param->encAlg = SEC_OID_DES_CBC; break; +#ifndef NSS_DISABLE_DEPRECATED_RC2 /* RC2 Algorithms */ case SEC_OID_PKCS12_V2_PBE_WITH_SHA1_AND_128_BIT_RC2_CBC: pbe_param->keyLen = 16; /* fall through */ case SEC_OID_PKCS12_V2_PBE_WITH_SHA1_AND_40_BIT_RC2_CBC: pbe_param->pbeType = NSSPKCS5_PKCS12_V2; break; case SEC_OID_PKCS12_PBE_WITH_SHA1_AND_128_BIT_RC2_CBC: pbe_param->keyLen = 16; /* fall through */ case SEC_OID_PKCS12_PBE_WITH_SHA1_AND_40_BIT_RC2_CBC: break; +#endif /* RC4 algorithms */ case SEC_OID_PKCS12_PBE_WITH_SHA1_AND_128_BIT_RC4: skipType = PR_TRUE; /* fall through */ case SEC_OID_PKCS12_V2_PBE_WITH_SHA1_AND_128_BIT_RC4: pbe_param->keyLen = 16; /* fall through */ @@ -1403,16 +1405,17 @@ loser: if (dup_src != NULL) { SECITEM_FreeItem(dup_src, PR_TRUE); } return dest; } +#ifndef NSS_DISABLE_DEPRECATED_RC2 /* perform rc2 encryption/decryption if an error occurs, NULL is returned */ static SECItem * sec_pkcs5_rc2(SECItem *key, SECItem *iv, SECItem *src, PRBool dummy, PRBool encrypt) { SECItem *dest; SECItem *dup_src; @@ -1480,16 +1483,17 @@ sec_pkcs5_rc2(SECItem *key, SECItem *iv, } if (dup_src != NULL) { SECITEM_FreeItem(dup_src, PR_TRUE); } return dest; } +#endif /* NSS_DISABLE_DEPRECATED_RC2 */ /* perform rc4 encryption and decryption */ static SECItem * sec_pkcs5_rc4(SECItem *key, SECItem *iv, SECItem *src, PRBool dummy_op, PRBool encrypt) { SECItem *dest; SECStatus rv = SECFailure; @@ -1575,19 +1579,21 @@ nsspkcs5_CipherData(NSSPKCS5PBEParameter case SEC_OID_DES_EDE3_CBC: cryptof = sec_pkcs5_des; tripleDES = PR_TRUE; break; case SEC_OID_DES_CBC: cryptof = sec_pkcs5_des; tripleDES = PR_FALSE; break; +#ifndef NSS_DISABLE_DEPRECATED_RC2 case SEC_OID_RC2_CBC: cryptof = sec_pkcs5_rc2; break; +#endif case SEC_OID_RC4: cryptof = sec_pkcs5_rc4; break; default: cryptof = NULL; break; }
--- a/security/nss/lib/softoken/manifest.mn +++ b/security/nss/lib/softoken/manifest.mn @@ -39,16 +39,17 @@ CSRCS = \ lowkey.c \ lowpbe.c \ padbuf.c \ pkcs11.c \ pkcs11c.c \ pkcs11u.c \ sdb.c \ sftkdb.c \ + sftkdhverify.c \ sftkhmac.c \ sftkike.c \ sftkmessage.c \ sftkpars.c \ sftkpwd.c \ softkver.c \ tlsprf.c \ jpakesftk.c \
--- a/security/nss/lib/softoken/pkcs11.c +++ b/security/nss/lib/softoken/pkcs11.c @@ -1191,16 +1191,21 @@ sftk_handlePrivateKeyObject(SFTKSession return CKR_TEMPLATE_INCOMPLETE; } if (!sftk_hasAttribute(object, CKA_BASE)) { return CKR_TEMPLATE_INCOMPLETE; } if (!sftk_hasAttribute(object, CKA_VALUE)) { return CKR_TEMPLATE_INCOMPLETE; } + /* allow subprime to be set after the fact */ + crv = sftk_defaultAttribute(object, CKA_SUBPRIME, NULL, 0); + if (crv != CKR_OK) { + return crv; + } encrypt = CK_FALSE; recover = CK_FALSE; wrap = CK_FALSE; break; case CKK_EC: if (!sftk_hasAttribute(object, CKA_EC_PARAMS)) { return CKR_TEMPLATE_INCOMPLETE; }
--- a/security/nss/lib/softoken/pkcs11c.c +++ b/security/nss/lib/softoken/pkcs11c.c @@ -744,28 +744,30 @@ sftk_CryptInit(CK_SESSION_HANDLE hSessio CK_OBJECT_HANDLE hKey, CK_ATTRIBUTE_TYPE mechUsage, CK_ATTRIBUTE_TYPE keyUsage, SFTKContextType contextType, PRBool isEncrypt) { SFTKSession *session; SFTKObject *key; SFTKSessionContext *context; SFTKAttribute *att; +#ifndef NSS_DISABLE_DEPRECATED_RC2 CK_RC2_CBC_PARAMS *rc2_param; + unsigned effectiveKeyLength; +#endif #if NSS_SOFTOKEN_DOES_RC5 CK_RC5_CBC_PARAMS *rc5_param; SECItem rc5Key; #endif CK_NSS_GCM_PARAMS nss_gcm_param; void *aes_param; CK_NSS_AEAD_PARAMS nss_aead_params; CK_NSS_AEAD_PARAMS *nss_aead_params_ptr = NULL; CK_KEY_TYPE key_type; CK_RV crv = CKR_OK; - unsigned effectiveKeyLength; unsigned char newdeskey[24]; PRBool useNewKey = PR_FALSE; int t; if (!pMechanism) { return CKR_MECHANISM_PARAM_INVALID; } @@ -862,16 +864,17 @@ sftk_CryptInit(CK_SESSION_HANDLE hSessio break; } context->update = (SFTKCipher)sftk_RSADecryptOAEP; context->maxLen = nsslowkey_PrivateModulusLen(info->key); context->cipherInfo = info; } context->destroy = (SFTKDestroy)sftk_Space; break; +#ifndef NSS_DISABLE_DEPRECATED_RC2 case CKM_RC2_CBC_PAD: context->doPad = PR_TRUE; /* fall thru */ case CKM_RC2_ECB: case CKM_RC2_CBC: context->blockSize = 8; if (key_type != CKK_RC2) { crv = CKR_KEY_TYPE_INCONSISTENT; @@ -896,16 +899,18 @@ sftk_CryptInit(CK_SESSION_HANDLE hSessio sftk_FreeAttribute(att); if (context->cipherInfo == NULL) { crv = CKR_HOST_MEMORY; break; } context->update = (SFTKCipher)(isEncrypt ? RC2_Encrypt : RC2_Decrypt); context->destroy = (SFTKDestroy)RC2_DestroyContext; break; +#endif /* NSS_DISABLE_DEPRECATED_RC2 */ + #if NSS_SOFTOKEN_DOES_RC5 case CKM_RC5_CBC_PAD: context->doPad = PR_TRUE; /* fall thru */ case CKM_RC5_ECB: case CKM_RC5_CBC: if (key_type != CKK_RC5) { crv = CKR_KEY_TYPE_INCONSISTENT; @@ -2224,17 +2229,19 @@ sftk_doSSLMACInit(SFTKSessionContext *co static CK_RV sftk_InitCBCMac(CK_SESSION_HANDLE hSession, CK_MECHANISM_PTR pMechanism, CK_OBJECT_HANDLE hKey, CK_ATTRIBUTE_TYPE keyUsage, SFTKContextType contextType) { CK_MECHANISM cbc_mechanism; CK_ULONG mac_bytes = SFTK_INVALID_MAC_SIZE; +#ifndef NSS_DISABLE_DEPRECATED_RC2 CK_RC2_CBC_PARAMS rc2_params; +#endif #if NSS_SOFTOKEN_DOES_RC5 CK_RC5_CBC_PARAMS rc5_params; CK_RC5_MAC_GENERAL_PARAMS *rc5_mac; #endif unsigned char ivBlock[SFTK_MAX_BLOCK_SIZE]; unsigned char k2[SFTK_MAX_BLOCK_SIZE]; unsigned char k3[SFTK_MAX_BLOCK_SIZE]; SFTKSessionContext *context; @@ -2242,16 +2249,17 @@ sftk_InitCBCMac(CK_SESSION_HANDLE hSessi unsigned int blockSize; PRBool isXCBC = PR_FALSE; if (!pMechanism) { return CKR_MECHANISM_PARAM_INVALID; } switch (pMechanism->mechanism) { +#ifndef NSS_DISABLE_DEPRECATED_RC2 case CKM_RC2_MAC_GENERAL: if (BAD_PARAM_CAST(pMechanism, sizeof(CK_RC2_MAC_GENERAL_PARAMS))) { return CKR_MECHANISM_PARAM_INVALID; } mac_bytes = ((CK_RC2_MAC_GENERAL_PARAMS *)pMechanism->pParameter)->ulMacLength; /* fall through */ case CKM_RC2_MAC: @@ -2261,16 +2269,18 @@ sftk_InitCBCMac(CK_SESSION_HANDLE hSessi pMechanism->pParameter) ->ulEffectiveBits; PORT_Memset(rc2_params.iv, 0, sizeof(rc2_params.iv)); cbc_mechanism.mechanism = CKM_RC2_CBC; cbc_mechanism.pParameter = &rc2_params; cbc_mechanism.ulParameterLen = sizeof(rc2_params); blockSize = 8; break; +#endif /* NSS_DISABLE_DEPRECATED_RC2 */ + #if NSS_SOFTOKEN_DOES_RC5 case CKM_RC5_MAC_GENERAL: if (BAD_PARAM_CAST(pMechanism, sizeof(CK_RC5_MAC_GENERAL_PARAMS))) { return CKR_MECHANISM_PARAM_INVALID; } mac_bytes = ((CK_RC5_MAC_GENERAL_PARAMS *)pMechanism->pParameter)->ulMacLength; /* fall through */ @@ -4173,21 +4183,23 @@ loser: static CK_RV nsc_SetupBulkKeyGen(CK_MECHANISM_TYPE mechanism, CK_KEY_TYPE *key_type, CK_ULONG *key_length) { CK_RV crv = CKR_OK; switch (mechanism) { +#ifndef NSS_DISABLE_DEPRECATED_RC2 case CKM_RC2_KEY_GEN: *key_type = CKK_RC2; if (*key_length == 0) crv = CKR_TEMPLATE_INCOMPLETE; break; +#endif /* NSS_DISABLE_DEPRECATED_RC2 */ #if NSS_SOFTOKEN_DOES_RC5 case CKM_RC5_KEY_GEN: *key_type = CKK_RC5; if (*key_length == 0) crv = CKR_TEMPLATE_INCOMPLETE; break; #endif case CKM_RC4_KEY_GEN: @@ -4406,20 +4418,22 @@ nsc_SetupPBEKeyGen(CK_MECHANISM_PTR pMec case SEC_OID_DES_CBC: *key_type = CKK_DES; *key_length = params->keyLen; break; case SEC_OID_DES_EDE3_CBC: *key_type = params->is2KeyDES ? CKK_DES2 : CKK_DES3; *key_length = params->keyLen; break; +#ifndef NSS_DISABLE_DEPRECATED_RC2 case SEC_OID_RC2_CBC: *key_type = CKK_RC2; *key_length = params->keyLen; break; +#endif /* NSS_DISABLE_DEPRECATED_RC2 */ case SEC_OID_RC4: *key_type = CKK_RC4; *key_length = params->keyLen; break; case SEC_OID_PKCS5_PBKDF2: /* key type must already be set */ if (*key_type == CKK_INVALID_KEY_TYPE) { crv = CKR_TEMPLATE_INCOMPLETE; @@ -4524,18 +4538,20 @@ NSC_GenerateKey(CK_SESSION_HANDLE hSessi /* Now Set up the parameters to generate the key (based on mechanism) */ key_gen_type = nsc_bulk; /* bulk key by default */ switch (pMechanism->mechanism) { case CKM_CDMF_KEY_GEN: case CKM_DES_KEY_GEN: case CKM_DES2_KEY_GEN: case CKM_DES3_KEY_GEN: checkWeak = PR_TRUE; - /* fall through */ +/* fall through */ +#ifndef NSS_DISABLE_DEPRECATED_RC2 case CKM_RC2_KEY_GEN: +#endif case CKM_RC4_KEY_GEN: case CKM_GENERIC_SECRET_KEY_GEN: #ifndef NSS_DISABLE_DEPRECATED_SEED case CKM_SEED_KEY_GEN: #endif case CKM_CAMELLIA_KEY_GEN: case CKM_AES_KEY_GEN: case CKM_NSS_CHACHA20_KEY_GEN: @@ -4561,25 +4577,27 @@ NSC_GenerateKey(CK_SESSION_HANDLE hSessi key_gen_type = nsc_pbe; key_type = CKK_GENERIC_SECRET; crv = nsc_SetupHMACKeyGen(pMechanism, &pbe_param); break; case CKM_NSS_PBE_SHA1_FAULTY_3DES_CBC: faultyPBE3DES = PR_TRUE; /* fall through */ case CKM_NSS_PBE_SHA1_TRIPLE_DES_CBC: +#ifndef NSS_DISABLE_DEPRECATED_RC2 case CKM_NSS_PBE_SHA1_40_BIT_RC2_CBC: + case CKM_NSS_PBE_SHA1_128_BIT_RC2_CBC: + case CKM_PBE_SHA1_RC2_128_CBC: + case CKM_PBE_SHA1_RC2_40_CBC: +#endif case CKM_NSS_PBE_SHA1_DES_CBC: - case CKM_NSS_PBE_SHA1_128_BIT_RC2_CBC: case CKM_NSS_PBE_SHA1_40_BIT_RC4: case CKM_NSS_PBE_SHA1_128_BIT_RC4: case CKM_PBE_SHA1_DES3_EDE_CBC: case CKM_PBE_SHA1_DES2_EDE_CBC: - case CKM_PBE_SHA1_RC2_128_CBC: - case CKM_PBE_SHA1_RC2_40_CBC: case CKM_PBE_SHA1_RC4_128: case CKM_PBE_SHA1_RC4_40: case CKM_PBE_MD5_DES_CBC: case CKM_PBE_MD2_DES_CBC: case CKM_PKCS5_PBKD2: key_gen_type = nsc_pbe; crv = nsc_SetupPBEKeyGen(pMechanism, &pbe_param, &key_type, &key_length); break; @@ -4736,31 +4754,37 @@ loser: * * This function returns * CKR_OK if pairwise consistency check passed * CKR_GENERAL_ERROR if pairwise consistency check failed * other error codes if paiswise consistency check could not be * performed, for example, CKR_HOST_MEMORY. */ static CK_RV -sftk_PairwiseConsistencyCheck(CK_SESSION_HANDLE hSession, +sftk_PairwiseConsistencyCheck(CK_SESSION_HANDLE hSession, SFTKSlot *slot, SFTKObject *publicKey, SFTKObject *privateKey, CK_KEY_TYPE keyType) { /* * Key type Mechanism type * -------------------------------- * For encrypt/decrypt: CKK_RSA => CKM_RSA_PKCS * others => CKM_INVALID_MECHANISM * * For sign/verify: CKK_RSA => CKM_RSA_PKCS * CKK_DSA => CKM_DSA * CKK_EC => CKM_ECDSA * others => CKM_INVALID_MECHANISM * * None of these mechanisms has a parameter. + * + * For derive CKK_DH => CKM_DH_PKCS_DERIVE + * CKK_EC => CKM_ECDH1_DERIVE + * others => CKM_INVALID_MECHANISM + * + * The parameters for these mechanisms is the public key. */ CK_MECHANISM mech = { 0, NULL, 0 }; CK_ULONG modulusLen = 0; CK_ULONG subPrimeLen = 0; PRBool isEncryptable = PR_FALSE; PRBool canSignVerify = PR_FALSE; PRBool isDerivable = PR_FALSE; @@ -5010,34 +5034,116 @@ sftk_PairwiseConsistencyCheck(CK_SESSION /**********************************************/ /* Pairwise Consistency Check for Derivation */ /**********************************************/ isDerivable = sftk_isTrue(privateKey, CKA_DERIVE); if (isDerivable) { - /* - * We are not doing consistency check for Diffie-Hellman Key - - * otherwise it would be here - * This is also true for Elliptic Curve Diffie-Hellman keys - * NOTE: EC keys are currently subjected to pairwise - * consistency check for signing/verification. - */ - /* - * FIPS 140-2 had the following pairwise consistency test for - * public and private keys used for key agreement: - * If the keys are used to perform key agreement, then the - * cryptographic module shall create a second, compatible - * key pair. The cryptographic module shall perform both - * sides of the key agreement algorithm and shall compare - * the resulting shared values. If the shared values are - * not equal, the test shall fail. - * This test was removed in Change Notice 3. - */ + SFTKAttribute *pubAttribute = NULL; + CK_OBJECT_HANDLE newKey; + PRBool isFIPS = (slot->slotID == FIPS_SLOT_ID); + CK_RV crv2; + CK_OBJECT_CLASS secret = CKO_SECRET_KEY; + CK_KEY_TYPE generic = CKK_GENERIC_SECRET; + CK_ULONG keyLen = 128; + CK_BBOOL ckTrue = CK_TRUE; + CK_ATTRIBUTE template[] = { + { CKA_CLASS, &secret, sizeof(secret) }, + { CKA_KEY_TYPE, &generic, sizeof(generic) }, + { CKA_VALUE_LEN, &keyLen, sizeof(keyLen) }, + { CKA_DERIVE, &ckTrue, sizeof(ckTrue) } + }; + CK_ULONG templateCount = PR_ARRAY_SIZE(template); + CK_ECDH1_DERIVE_PARAMS ecParams; + + crv = CKR_OK; /*paranoia, already get's set before we drop to the end */ + /* FIPS 140-2 requires we verify that the resulting key is a valid key. + * The easiest way to do this is to do a derive operation, which checks + * the validity of the key */ + + switch (keyType) { + case CKK_DH: + mech.mechanism = CKM_DH_PKCS_DERIVE; + pubAttribute = sftk_FindAttribute(publicKey, CKA_VALUE); + if (pubAttribute == NULL) { + return CKR_DEVICE_ERROR; + } + mech.pParameter = pubAttribute->attrib.pValue; + mech.ulParameterLen = pubAttribute->attrib.ulValueLen; + break; + case CKK_EC: + mech.mechanism = CKM_ECDH1_DERIVE; + pubAttribute = sftk_FindAttribute(publicKey, CKA_EC_POINT); + if (pubAttribute == NULL) { + return CKR_DEVICE_ERROR; + } + ecParams.kdf = CKD_NULL; + ecParams.ulSharedDataLen = 0; + ecParams.pSharedData = NULL; + ecParams.ulPublicDataLen = pubAttribute->attrib.ulValueLen; + ecParams.pPublicData = pubAttribute->attrib.pValue; + mech.pParameter = &ecParams; + mech.ulParameterLen = sizeof(ecParams); + break; + default: + return CKR_DEVICE_ERROR; + } + + crv = NSC_DeriveKey(hSession, &mech, privateKey->handle, template, templateCount, &newKey); + if (crv != CKR_OK) { + sftk_FreeAttribute(pubAttribute); + return crv; + } + /* FIPS requires full validation, but in fipx mode NSC_Derive + * only does partial validation with approved primes, now handle + * full validation */ + if (isFIPS && keyType == CKK_DH) { + SECItem pubKey; + SECItem prime; + SECItem subPrime; + const SECItem *subPrimePtr = &subPrime; + + pubKey.data = pubAttribute->attrib.pValue; + pubKey.len = pubAttribute->attrib.ulValueLen; + prime.data = subPrime.data = NULL; + prime.len = subPrime.len = 0; + crv = sftk_Attribute2SecItem(NULL, &prime, privateKey, CKA_PRIME); + if (crv != CKR_OK) { + goto done; + } + crv = sftk_Attribute2SecItem(NULL, &prime, privateKey, CKA_PRIME); + /* we ignore the return code an only look at the length */ + if (subPrime.len == 0) { + /* subprime not supplied, In this case look it up. + * This only works with approved primes, but in FIPS mode + * that's the only kine of prime that will get here */ + subPrimePtr = sftk_VerifyDH_Prime(&prime); + if (subPrimePtr == NULL) { + crv = CKR_GENERAL_ERROR; + goto done; + } + } + if (!KEA_Verify(&pubKey, &prime, (SECItem *)subPrimePtr)) { + crv = CKR_GENERAL_ERROR; + } + done: + PORT_Free(subPrime.data); + PORT_Free(prime.data); + } + /* clean up before we return */ + sftk_FreeAttribute(pubAttribute); + crv2 = NSC_DestroyObject(hSession, newKey); + if (crv != CKR_OK) { + return crv; + } + if (crv2 != CKR_OK) { + return crv2; + } } return CKR_OK; } /* NSC_GenerateKeyPair generates a public-key/private-key pair, * creating new key objects. */ CK_RV @@ -5571,17 +5677,17 @@ NSC_GenerateKeyPair(CK_SESSION_HANDLE hS } if (crv == CKR_OK && !sftk_isTrue(publicKey, CKA_EXTRACTABLE)) { crv = sftk_forceAttribute(publicKey, CKA_NEVER_EXTRACTABLE, &cktrue, sizeof(CK_BBOOL)); } if (crv == CKR_OK) { /* Perform FIPS 140-2 pairwise consistency check. */ - crv = sftk_PairwiseConsistencyCheck(hSession, + crv = sftk_PairwiseConsistencyCheck(hSession, slot, publicKey, privateKey, key_type); if (crv != CKR_OK) { if (sftk_audit_enabled) { char msg[128]; PR_snprintf(msg, sizeof msg, "C_GenerateKeyPair(hSession=0x%08lX, " "pMechanism->mechanism=0x%08lX)=0x%08lX " "self-test: pair-wise consistency test failed", @@ -8174,50 +8280,111 @@ NSC_DeriveKey(CK_SESSION_HANDLE hSession SHA512_HashBuf(key_block, (const unsigned char *)att->attrib.pValue, att->attrib.ulValueLen); crv = sftk_forceAttribute(key, CKA_VALUE, key_block, keySize); break; case CKM_DH_PKCS_DERIVE: { SECItem derived, dhPublic; - SECItem dhPrime, dhSubPrime, dhValue; + SECItem dhPrime, dhValue; + const SECItem *subPrime; /* sourceKey - values for the local existing low key */ /* get prime and value attributes */ crv = sftk_Attribute2SecItem(NULL, &dhPrime, sourceKey, CKA_PRIME); if (crv != CKR_OK) break; - crv = sftk_Attribute2SecItem(NULL, &dhValue, sourceKey, CKA_VALUE); - if (crv != CKR_OK) { - PORT_Free(dhPrime.data); - break; - } dhPublic.data = pMechanism->pParameter; dhPublic.len = pMechanism->ulParameterLen; - /* If the caller bothered to provide Q, use Q to validate - * the public key. */ - crv = sftk_Attribute2SecItem(NULL, &dhSubPrime, sourceKey, CKA_SUBPRIME); - if (crv == CKR_OK) { - rv = KEA_Verify(&dhPublic, &dhPrime, &dhSubPrime); - PORT_Free(dhSubPrime.data); - if (rv != SECSuccess) { + /* if the prime is an approved prime, we can skip all the other + * checks. */ + subPrime = sftk_VerifyDH_Prime(&dhPrime); + if (subPrime == NULL) { + SECItem dhSubPrime; + /* If the caller set the subprime value, it means that + * either the caller knows the subprime value and wants us + * to validate the key against the subprime, or that the + * caller wants us to verify that the prime is a safe prime + * by passing in subprime = (prime-1)/2 */ + dhSubPrime.data = NULL; + dhSubPrime.len = 0; + crv = sftk_Attribute2SecItem(NULL, &dhSubPrime, + sourceKey, CKA_SUBPRIME); + /* we ignore the value of crv here, We treat a valid + * return of len = 0 and a failure to find a subrime the same + * NOTE: we free the subprime in both cases depending on + * PORT_Free of NULL to be a noop */ + if (dhSubPrime.len != 0) { + PRBool isSafe = PR_FALSE; + + /* Callers can set dhSubPrime to q=(p-1)/2 to force + * checks for safe primes. If so we only need to check + * q and p for primality and skip the group test. */ + rv = sftk_IsSafePrime(&dhPrime, &dhSubPrime, &isSafe); + if (rv != SECSuccess) { + /* either p or q was even and therefore not prime, + * we can stop processing here and fail now */ + crv = CKR_ARGUMENTS_BAD; + PORT_Free(dhPrime.data); + PORT_Free(dhSubPrime.data); + break; + } + + /* first make sure the primes are really prime */ + if (!KEA_PrimeCheck(&dhPrime)) { + crv = CKR_ARGUMENTS_BAD; + PORT_Free(dhPrime.data); + PORT_Free(dhSubPrime.data); + break; + } + if (!KEA_PrimeCheck(&dhSubPrime)) { + crv = CKR_ARGUMENTS_BAD; + PORT_Free(dhPrime.data); + PORT_Free(dhSubPrime.data); + break; + } + if (isFIPS || !isSafe) { + /* With safe primes, there is only one other small + * subgroup. As long as y isn't 0, 1, or -1 mod p, + * any other y is safe. Only do the full check for + * non-safe primes, except in FIPS mode we need + * to do this check on all primes in which + * we receive the subprime value */ + if (!KEA_Verify(&dhPublic, &dhPrime, &dhSubPrime)) { + crv = CKR_ARGUMENTS_BAD; + PORT_Free(dhPrime.data); + PORT_Free(dhSubPrime.data); + break; + } + } + } else if (isFIPS) { + /* In FIPS mode we only accept approved primes, or + * primes with the full subprime value */ crv = CKR_ARGUMENTS_BAD; PORT_Free(dhPrime.data); - PORT_Free(dhValue.data); break; } + /* checks are complete, no need for the subPrime any longer */ + PORT_Free(dhSubPrime.data); + } + + /* now that the prime is validated, get the private value */ + crv = sftk_Attribute2SecItem(NULL, &dhValue, sourceKey, CKA_VALUE); + if (crv != CKR_OK) { + PORT_Free(dhPrime.data); + break; } /* calculate private value - oct */ rv = DH_Derive(&dhPublic, &dhPrime, &dhValue, &derived, keySize); PORT_Free(dhPrime.data); - PORT_Free(dhValue.data); + PORT_ZFree(dhValue.data, dhValue.len); if (rv == SECSuccess) { sftk_forceAttribute(key, CKA_VALUE, derived.data, derived.len); PORT_ZFree(derived.data, derived.len); crv = CKR_OK; } else crv = CKR_HOST_MEMORY;
--- a/security/nss/lib/softoken/pkcs11i.h +++ b/security/nss/lib/softoken/pkcs11i.h @@ -909,11 +909,18 @@ void sftk_MAC_Destroy(sftk_MACCtx *ctx, unsigned int sftk_CKRVToMask(CK_RV rv); CK_RV sftk_CheckCBCPadding(CK_BYTE_PTR pBuf, unsigned int bufLen, unsigned int blockSize, unsigned int *outPadSize); /* NIST 800-108 (kbkdf.c) implementations */ extern CK_RV kbkdf_Dispatch(CK_MECHANISM_TYPE mech, CK_SESSION_HANDLE hSession, CK_MECHANISM_PTR pMechanism, SFTKObject *base_key, SFTKObject *ret_key, CK_ULONG keySize); char **NSC_ModuleDBFunc(unsigned long function, char *parameters, void *args); +/* dh verify functions */ +/* verify that dhPrime matches one of our known primes, and if so return + * it's subprime value */ +const SECItem *sftk_VerifyDH_Prime(SECItem *dhPrime); +/* check if dhSubPrime claims dhPrime is a safe prime. */ +SECStatus sftk_IsSafePrime(SECItem *dhPrime, SECItem *dhSubPrime, PRBool *isSafe); + SEC_END_PROTOS #endif /* _PKCS11I_H_ */
--- a/security/nss/lib/softoken/pkcs11u.c +++ b/security/nss/lib/softoken/pkcs11u.c @@ -711,17 +711,16 @@ sftk_modifyType(CK_ATTRIBUTE_TYPE type, case CKA_CLASS: case CKA_CERTIFICATE_TYPE: case CKA_KEY_TYPE: case CKA_MODULUS: case CKA_MODULUS_BITS: case CKA_PUBLIC_EXPONENT: case CKA_PRIVATE_EXPONENT: case CKA_PRIME: - case CKA_SUBPRIME: case CKA_BASE: case CKA_PRIME_1: case CKA_PRIME_2: case CKA_EXPONENT_1: case CKA_EXPONENT_2: case CKA_COEFFICIENT: case CKA_VALUE_LEN: case CKA_ALWAYS_SENSITIVE: @@ -762,16 +761,21 @@ sftk_modifyType(CK_ATTRIBUTE_TYPE type, mtype = SFTK_ALWAYS; break; /* DEPENDS ON CLASS */ case CKA_VALUE: mtype = (inClass == CKO_DATA) ? SFTK_ALWAYS : SFTK_NEVER; break; + case CKA_SUBPRIME: + /* allow the CKA_SUBPRIME to be added to dh private keys */ + mtype = (inClass == CKO_PRIVATE_KEY) ? SFTK_ALWAYS : SFTK_NEVER; + break; + case CKA_SUBJECT: mtype = (inClass == CKO_CERTIFICATE) ? SFTK_NEVER : SFTK_ALWAYS; break; default: break; } return mtype; }
new file mode 100644 --- /dev/null +++ b/security/nss/lib/softoken/sftkdhverify.c @@ -0,0 +1,1282 @@ + +/* This Source Code Form is subject to the terms of the Mozilla Public + * License, v. 2.0. If a copy of the MPL was not distributed with this + * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ +/* + * This file makes sure a prime given to us matches one of the known + * approved primes for diffie-helman. + * + * It also checks if a prime is a safe prime for the case + * where we don't match an approved prime. + */ +#include "seccomon.h" +#include "secitem.h" +#include "secerr.h" +#include "blapi.h" + +/* IKE 1536 prime is: 2^1536 - 2^1472 - 1 + 2^64 * { [2^1406 pi] + 741804 } */ +static const unsigned char prime_ike_1536[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x23, 0x73, 0x27, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF +}; + +/* IKE 2048 prime is: 2^2048 - 2^1984 - 1 + 2^64 * { [2^1918 pi] + 124476 */ +static const unsigned char prime_ike_2048[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, + 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2, + 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, + 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C, + 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, + 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAC, 0xAA, 0x68, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF +}; + +/* TLS 2048 prime is: 2^2048 - 2^1984 + {[2^1918 * e] + 560316 } * 2^64 - 1 */ +static const unsigned char prime_tls_2048[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x28, 0x5C, 0x97, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF +}; + +/* IKE 3072 prime is: 2^3072 - 2^3008 - 1 + 2^64 * { [2^2942 pi] + 1690314 } */ +static const unsigned char prime_ike_3072[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, + 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2, + 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, + 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C, + 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, + 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D, + 0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64, + 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57, + 0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7, + 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0, + 0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B, + 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73, + 0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C, + 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0, + 0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31, + 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20, + 0xA9, 0x3A, 0xD2, 0xCA, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF +}; + +/* TLS 3072 prime is: 2^3072 - 2^3008 + {[2^2942 * e] + 2625351} * 2^64 - 1 */ +static const unsigned char prime_tls_3072[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B, + 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, + 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26, + 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, + 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93, + 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, + 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB, + 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, + 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42, + 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, + 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B, + 0x66, 0xC6, 0x2E, 0x37, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF +}; + +/* IKE 4096 prime is: 2^4096 - 2^4032 - 1 + 2^64 * { [2^3966 pi] + 240904 } */ +static const unsigned char prime_ike_4096[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, + 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2, + 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, + 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C, + 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, + 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D, + 0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64, + 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57, + 0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7, + 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0, + 0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B, + 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73, + 0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C, + 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0, + 0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31, + 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20, + 0xA9, 0x21, 0x08, 0x01, 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7, + 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26, 0x99, 0xC3, 0x27, 0x18, + 0x6A, 0xF4, 0xE2, 0x3C, 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA, + 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8, 0xDB, 0xBB, 0xC2, 0xDB, + 0x04, 0xDE, 0x8E, 0xF9, 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6, + 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D, 0x99, 0xB2, 0x96, 0x4F, + 0xA0, 0x90, 0xC3, 0xA2, 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED, + 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF, 0xB8, 0x1B, 0xDD, 0x76, + 0x21, 0x70, 0x48, 0x1C, 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9, + 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1, 0x86, 0xFF, 0xB7, 0xDC, + 0x90, 0xA6, 0xC0, 0x8F, 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x06, 0x31, 0x99, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF +}; + +/* TLS 4096 prime is: 2^4096 - 2^4032 + {[2^3966 * e] + 5736041} * 2^64 - 1 */ +static const unsigned char prime_tls_4096[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B, + 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, + 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26, + 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, + 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93, + 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, + 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB, + 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, + 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42, + 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, + 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B, + 0x66, 0x9E, 0x1E, 0xF1, 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, + 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, 0xAC, 0x7D, 0x5F, 0x42, + 0xD6, 0x9F, 0x6D, 0x18, 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, + 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, 0x71, 0x35, 0xC8, 0x86, + 0xEF, 0xB4, 0x31, 0x8A, 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, + 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, 0x6D, 0xC7, 0x78, 0xF9, + 0x71, 0xAD, 0x00, 0x38, 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, + 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, 0x2A, 0x4E, 0xCE, 0xA9, + 0xF9, 0x8D, 0x0A, 0xCC, 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, + 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, 0x4D, 0xB5, 0xA8, 0x51, + 0xF4, 0x41, 0x82, 0xE1, 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x65, 0x5F, 0x6A, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF +}; + +/* IKE 6144 prime is: 2^6144 - 2^6080 - 1 + 2^64 * { [2^6014 pi] + 929484 } */ +static const unsigned char prime_ike_6144[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, + 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2, + 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, + 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C, + 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, + 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D, + 0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64, + 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57, + 0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7, + 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0, + 0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B, + 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73, + 0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C, + 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0, + 0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31, + 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20, + 0xA9, 0x21, 0x08, 0x01, 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7, + 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26, 0x99, 0xC3, 0x27, 0x18, + 0x6A, 0xF4, 0xE2, 0x3C, 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA, + 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8, 0xDB, 0xBB, 0xC2, 0xDB, + 0x04, 0xDE, 0x8E, 0xF9, 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6, + 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D, 0x99, 0xB2, 0x96, 0x4F, + 0xA0, 0x90, 0xC3, 0xA2, 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED, + 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF, 0xB8, 0x1B, 0xDD, 0x76, + 0x21, 0x70, 0x48, 0x1C, 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9, + 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1, 0x86, 0xFF, 0xB7, 0xDC, + 0x90, 0xA6, 0xC0, 0x8F, 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x02, 0x84, 0x92, + 0x36, 0xC3, 0xFA, 0xB4, 0xD2, 0x7C, 0x70, 0x26, 0xC1, 0xD4, 0xDC, 0xB2, + 0x60, 0x26, 0x46, 0xDE, 0xC9, 0x75, 0x1E, 0x76, 0x3D, 0xBA, 0x37, 0xBD, + 0xF8, 0xFF, 0x94, 0x06, 0xAD, 0x9E, 0x53, 0x0E, 0xE5, 0xDB, 0x38, 0x2F, + 0x41, 0x30, 0x01, 0xAE, 0xB0, 0x6A, 0x53, 0xED, 0x90, 0x27, 0xD8, 0x31, + 0x17, 0x97, 0x27, 0xB0, 0x86, 0x5A, 0x89, 0x18, 0xDA, 0x3E, 0xDB, 0xEB, + 0xCF, 0x9B, 0x14, 0xED, 0x44, 0xCE, 0x6C, 0xBA, 0xCE, 0xD4, 0xBB, 0x1B, + 0xDB, 0x7F, 0x14, 0x47, 0xE6, 0xCC, 0x25, 0x4B, 0x33, 0x20, 0x51, 0x51, + 0x2B, 0xD7, 0xAF, 0x42, 0x6F, 0xB8, 0xF4, 0x01, 0x37, 0x8C, 0xD2, 0xBF, + 0x59, 0x83, 0xCA, 0x01, 0xC6, 0x4B, 0x92, 0xEC, 0xF0, 0x32, 0xEA, 0x15, + 0xD1, 0x72, 0x1D, 0x03, 0xF4, 0x82, 0xD7, 0xCE, 0x6E, 0x74, 0xFE, 0xF6, + 0xD5, 0x5E, 0x70, 0x2F, 0x46, 0x98, 0x0C, 0x82, 0xB5, 0xA8, 0x40, 0x31, + 0x90, 0x0B, 0x1C, 0x9E, 0x59, 0xE7, 0xC9, 0x7F, 0xBE, 0xC7, 0xE8, 0xF3, + 0x23, 0xA9, 0x7A, 0x7E, 0x36, 0xCC, 0x88, 0xBE, 0x0F, 0x1D, 0x45, 0xB7, + 0xFF, 0x58, 0x5A, 0xC5, 0x4B, 0xD4, 0x07, 0xB2, 0x2B, 0x41, 0x54, 0xAA, + 0xCC, 0x8F, 0x6D, 0x7E, 0xBF, 0x48, 0xE1, 0xD8, 0x14, 0xCC, 0x5E, 0xD2, + 0x0F, 0x80, 0x37, 0xE0, 0xA7, 0x97, 0x15, 0xEE, 0xF2, 0x9B, 0xE3, 0x28, + 0x06, 0xA1, 0xD5, 0x8B, 0xB7, 0xC5, 0xDA, 0x76, 0xF5, 0x50, 0xAA, 0x3D, + 0x8A, 0x1F, 0xBF, 0xF0, 0xEB, 0x19, 0xCC, 0xB1, 0xA3, 0x13, 0xD5, 0x5C, + 0xDA, 0x56, 0xC9, 0xEC, 0x2E, 0xF2, 0x96, 0x32, 0x38, 0x7F, 0xE8, 0xD7, + 0x6E, 0x3C, 0x04, 0x68, 0x04, 0x3E, 0x8F, 0x66, 0x3F, 0x48, 0x60, 0xEE, + 0x12, 0xBF, 0x2D, 0x5B, 0x0B, 0x74, 0x74, 0xD6, 0xE6, 0x94, 0xF9, 0x1E, + 0x6D, 0xCC, 0x40, 0x24, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF +}; + +/* TLS 6144 prime is: 2^6144 - 2^6080 + {[2^6014 * e] + 15705020} * 2^64 - 1 */ +static const unsigned char prime_tls_6144[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B, + 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, + 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26, + 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, + 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93, + 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, + 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB, + 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, + 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42, + 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, + 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B, + 0x66, 0x9E, 0x1E, 0xF1, 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, + 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, 0xAC, 0x7D, 0x5F, 0x42, + 0xD6, 0x9F, 0x6D, 0x18, 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, + 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, 0x71, 0x35, 0xC8, 0x86, + 0xEF, 0xB4, 0x31, 0x8A, 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, + 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, 0x6D, 0xC7, 0x78, 0xF9, + 0x71, 0xAD, 0x00, 0x38, 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, + 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, 0x2A, 0x4E, 0xCE, 0xA9, + 0xF9, 0x8D, 0x0A, 0xCC, 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, + 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, 0x4D, 0xB5, 0xA8, 0x51, + 0xF4, 0x41, 0x82, 0xE1, 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x0D, 0xD9, 0x02, + 0x0B, 0xFD, 0x64, 0xB6, 0x45, 0x03, 0x6C, 0x7A, 0x4E, 0x67, 0x7D, 0x2C, + 0x38, 0x53, 0x2A, 0x3A, 0x23, 0xBA, 0x44, 0x42, 0xCA, 0xF5, 0x3E, 0xA6, + 0x3B, 0xB4, 0x54, 0x32, 0x9B, 0x76, 0x24, 0xC8, 0x91, 0x7B, 0xDD, 0x64, + 0xB1, 0xC0, 0xFD, 0x4C, 0xB3, 0x8E, 0x8C, 0x33, 0x4C, 0x70, 0x1C, 0x3A, + 0xCD, 0xAD, 0x06, 0x57, 0xFC, 0xCF, 0xEC, 0x71, 0x9B, 0x1F, 0x5C, 0x3E, + 0x4E, 0x46, 0x04, 0x1F, 0x38, 0x81, 0x47, 0xFB, 0x4C, 0xFD, 0xB4, 0x77, + 0xA5, 0x24, 0x71, 0xF7, 0xA9, 0xA9, 0x69, 0x10, 0xB8, 0x55, 0x32, 0x2E, + 0xDB, 0x63, 0x40, 0xD8, 0xA0, 0x0E, 0xF0, 0x92, 0x35, 0x05, 0x11, 0xE3, + 0x0A, 0xBE, 0xC1, 0xFF, 0xF9, 0xE3, 0xA2, 0x6E, 0x7F, 0xB2, 0x9F, 0x8C, + 0x18, 0x30, 0x23, 0xC3, 0x58, 0x7E, 0x38, 0xDA, 0x00, 0x77, 0xD9, 0xB4, + 0x76, 0x3E, 0x4E, 0x4B, 0x94, 0xB2, 0xBB, 0xC1, 0x94, 0xC6, 0x65, 0x1E, + 0x77, 0xCA, 0xF9, 0x92, 0xEE, 0xAA, 0xC0, 0x23, 0x2A, 0x28, 0x1B, 0xF6, + 0xB3, 0xA7, 0x39, 0xC1, 0x22, 0x61, 0x16, 0x82, 0x0A, 0xE8, 0xDB, 0x58, + 0x47, 0xA6, 0x7C, 0xBE, 0xF9, 0xC9, 0x09, 0x1B, 0x46, 0x2D, 0x53, 0x8C, + 0xD7, 0x2B, 0x03, 0x74, 0x6A, 0xE7, 0x7F, 0x5E, 0x62, 0x29, 0x2C, 0x31, + 0x15, 0x62, 0xA8, 0x46, 0x50, 0x5D, 0xC8, 0x2D, 0xB8, 0x54, 0x33, 0x8A, + 0xE4, 0x9F, 0x52, 0x35, 0xC9, 0x5B, 0x91, 0x17, 0x8C, 0xCF, 0x2D, 0xD5, + 0xCA, 0xCE, 0xF4, 0x03, 0xEC, 0x9D, 0x18, 0x10, 0xC6, 0x27, 0x2B, 0x04, + 0x5B, 0x3B, 0x71, 0xF9, 0xDC, 0x6B, 0x80, 0xD6, 0x3F, 0xDD, 0x4A, 0x8E, + 0x9A, 0xDB, 0x1E, 0x69, 0x62, 0xA6, 0x95, 0x26, 0xD4, 0x31, 0x61, 0xC1, + 0xA4, 0x1D, 0x57, 0x0D, 0x79, 0x38, 0xDA, 0xD4, 0xA4, 0x0E, 0x32, 0x9C, + 0xD0, 0xE4, 0x0E, 0x65, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF +}; + +/* IKE 8192 prime is: 2^8192 - 2^8128 - 1 + 2^64 * { [2^8062 pi] + 4743158 } */ +static const unsigned char prime_ike_8192[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, + 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, + 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, + 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, + 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D, + 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, + 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9, + 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, + 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, + 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, + 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, + 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, + 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56, + 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, + 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, + 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, + 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2, + 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, + 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C, + 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, + 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D, + 0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64, + 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57, + 0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7, + 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0, + 0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B, + 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73, + 0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C, + 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0, + 0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31, + 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20, + 0xA9, 0x21, 0x08, 0x01, 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7, + 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26, 0x99, 0xC3, 0x27, 0x18, + 0x6A, 0xF4, 0xE2, 0x3C, 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA, + 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8, 0xDB, 0xBB, 0xC2, 0xDB, + 0x04, 0xDE, 0x8E, 0xF9, 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6, + 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D, 0x99, 0xB2, 0x96, 0x4F, + 0xA0, 0x90, 0xC3, 0xA2, 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED, + 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF, 0xB8, 0x1B, 0xDD, 0x76, + 0x21, 0x70, 0x48, 0x1C, 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9, + 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1, 0x86, 0xFF, 0xB7, 0xDC, + 0x90, 0xA6, 0xC0, 0x8F, 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x02, 0x84, 0x92, + 0x36, 0xC3, 0xFA, 0xB4, 0xD2, 0x7C, 0x70, 0x26, 0xC1, 0xD4, 0xDC, 0xB2, + 0x60, 0x26, 0x46, 0xDE, 0xC9, 0x75, 0x1E, 0x76, 0x3D, 0xBA, 0x37, 0xBD, + 0xF8, 0xFF, 0x94, 0x06, 0xAD, 0x9E, 0x53, 0x0E, 0xE5, 0xDB, 0x38, 0x2F, + 0x41, 0x30, 0x01, 0xAE, 0xB0, 0x6A, 0x53, 0xED, 0x90, 0x27, 0xD8, 0x31, + 0x17, 0x97, 0x27, 0xB0, 0x86, 0x5A, 0x89, 0x18, 0xDA, 0x3E, 0xDB, 0xEB, + 0xCF, 0x9B, 0x14, 0xED, 0x44, 0xCE, 0x6C, 0xBA, 0xCE, 0xD4, 0xBB, 0x1B, + 0xDB, 0x7F, 0x14, 0x47, 0xE6, 0xCC, 0x25, 0x4B, 0x33, 0x20, 0x51, 0x51, + 0x2B, 0xD7, 0xAF, 0x42, 0x6F, 0xB8, 0xF4, 0x01, 0x37, 0x8C, 0xD2, 0xBF, + 0x59, 0x83, 0xCA, 0x01, 0xC6, 0x4B, 0x92, 0xEC, 0xF0, 0x32, 0xEA, 0x15, + 0xD1, 0x72, 0x1D, 0x03, 0xF4, 0x82, 0xD7, 0xCE, 0x6E, 0x74, 0xFE, 0xF6, + 0xD5, 0x5E, 0x70, 0x2F, 0x46, 0x98, 0x0C, 0x82, 0xB5, 0xA8, 0x40, 0x31, + 0x90, 0x0B, 0x1C, 0x9E, 0x59, 0xE7, 0xC9, 0x7F, 0xBE, 0xC7, 0xE8, 0xF3, + 0x23, 0xA9, 0x7A, 0x7E, 0x36, 0xCC, 0x88, 0xBE, 0x0F, 0x1D, 0x45, 0xB7, + 0xFF, 0x58, 0x5A, 0xC5, 0x4B, 0xD4, 0x07, 0xB2, 0x2B, 0x41, 0x54, 0xAA, + 0xCC, 0x8F, 0x6D, 0x7E, 0xBF, 0x48, 0xE1, 0xD8, 0x14, 0xCC, 0x5E, 0xD2, + 0x0F, 0x80, 0x37, 0xE0, 0xA7, 0x97, 0x15, 0xEE, 0xF2, 0x9B, 0xE3, 0x28, + 0x06, 0xA1, 0xD5, 0x8B, 0xB7, 0xC5, 0xDA, 0x76, 0xF5, 0x50, 0xAA, 0x3D, + 0x8A, 0x1F, 0xBF, 0xF0, 0xEB, 0x19, 0xCC, 0xB1, 0xA3, 0x13, 0xD5, 0x5C, + 0xDA, 0x56, 0xC9, 0xEC, 0x2E, 0xF2, 0x96, 0x32, 0x38, 0x7F, 0xE8, 0xD7, + 0x6E, 0x3C, 0x04, 0x68, 0x04, 0x3E, 0x8F, 0x66, 0x3F, 0x48, 0x60, 0xEE, + 0x12, 0xBF, 0x2D, 0x5B, 0x0B, 0x74, 0x74, 0xD6, 0xE6, 0x94, 0xF9, 0x1E, + 0x6D, 0xBE, 0x11, 0x59, 0x74, 0xA3, 0x92, 0x6F, 0x12, 0xFE, 0xE5, 0xE4, + 0x38, 0x77, 0x7C, 0xB6, 0xA9, 0x32, 0xDF, 0x8C, 0xD8, 0xBE, 0xC4, 0xD0, + 0x73, 0xB9, 0x31, 0xBA, 0x3B, 0xC8, 0x32, 0xB6, 0x8D, 0x9D, 0xD3, 0x00, + 0x74, 0x1F, 0xA7, 0xBF, 0x8A, 0xFC, 0x47, 0xED, 0x25, 0x76, 0xF6, 0x93, + 0x6B, 0xA4, 0x24, 0x66, 0x3A, 0xAB, 0x63, 0x9C, 0x5A, 0xE4, 0xF5, 0x68, + 0x34, 0x23, 0xB4, 0x74, 0x2B, 0xF1, 0xC9, 0x78, 0x23, 0x8F, 0x16, 0xCB, + 0xE3, 0x9D, 0x65, 0x2D, 0xE3, 0xFD, 0xB8, 0xBE, 0xFC, 0x84, 0x8A, 0xD9, + 0x22, 0x22, 0x2E, 0x04, 0xA4, 0x03, 0x7C, 0x07, 0x13, 0xEB, 0x57, 0xA8, + 0x1A, 0x23, 0xF0, 0xC7, 0x34, 0x73, 0xFC, 0x64, 0x6C, 0xEA, 0x30, 0x6B, + 0x4B, 0xCB, 0xC8, 0x86, 0x2F, 0x83, 0x85, 0xDD, 0xFA, 0x9D, 0x4B, 0x7F, + 0xA2, 0xC0, 0x87, 0xE8, 0x79, 0x68, 0x33, 0x03, 0xED, 0x5B, 0xDD, 0x3A, + 0x06, 0x2B, 0x3C, 0xF5, 0xB3, 0xA2, 0x78, 0xA6, 0x6D, 0x2A, 0x13, 0xF8, + 0x3F, 0x44, 0xF8, 0x2D, 0xDF, 0x31, 0x0E, 0xE0, 0x74, 0xAB, 0x6A, 0x36, + 0x45, 0x97, 0xE8, 0x99, 0xA0, 0x25, 0x5D, 0xC1, 0x64, 0xF3, 0x1C, 0xC5, + 0x08, 0x46, 0x85, 0x1D, 0xF9, 0xAB, 0x48, 0x19, 0x5D, 0xED, 0x7E, 0xA1, + 0xB1, 0xD5, 0x10, 0xBD, 0x7E, 0xE7, 0x4D, 0x73, 0xFA, 0xF3, 0x6B, 0xC3, + 0x1E, 0xCF, 0xA2, 0x68, 0x35, 0x90, 0x46, 0xF4, 0xEB, 0x87, 0x9F, 0x92, + 0x40, 0x09, 0x43, 0x8B, 0x48, 0x1C, 0x6C, 0xD7, 0x88, 0x9A, 0x00, 0x2E, + 0xD5, 0xEE, 0x38, 0x2B, 0xC9, 0x19, 0x0D, 0xA6, 0xFC, 0x02, 0x6E, 0x47, + 0x95, 0x58, 0xE4, 0x47, 0x56, 0x77, 0xE9, 0xAA, 0x9E, 0x30, 0x50, 0xE2, + 0x76, 0x56, 0x94, 0xDF, 0xC8, 0x1F, 0x56, 0xE8, 0x80, 0xB9, 0x6E, 0x71, + 0x60, 0xC9, 0x80, 0xDD, 0x98, 0xED, 0xD3, 0xDF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF +}; + +/* TLS 8192 prime is: 2^8192 - 2^8128 + {[2^8062 * e] + 10965728} * 2^64 - 1 */ +static const unsigned char prime_tls_8192[] = { + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58, + 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, + 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41, + 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, + 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02, + 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, + 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55, + 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, + 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA, + 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, + 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82, + 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, + 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3, + 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, + 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1, + 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, + 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32, + 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, + 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83, + 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, + 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B, + 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, + 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26, + 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, + 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93, + 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, + 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB, + 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, + 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42, + 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, + 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B, + 0x66, 0x9E, 0x1E, 0xF1, 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, + 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, 0xAC, 0x7D, 0x5F, 0x42, + 0xD6, 0x9F, 0x6D, 0x18, 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, + 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, 0x71, 0x35, 0xC8, 0x86, + 0xEF, 0xB4, 0x31, 0x8A, 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, + 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, 0x6D, 0xC7, 0x78, 0xF9, + 0x71, 0xAD, 0x00, 0x38, 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, + 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, 0x2A, 0x4E, 0xCE, 0xA9, + 0xF9, 0x8D, 0x0A, 0xCC, 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, + 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, 0x4D, 0xB5, 0xA8, 0x51, + 0xF4, 0x41, 0x82, 0xE1, 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x0D, 0xD9, 0x02, + 0x0B, 0xFD, 0x64, 0xB6, 0x45, 0x03, 0x6C, 0x7A, 0x4E, 0x67, 0x7D, 0x2C, + 0x38, 0x53, 0x2A, 0x3A, 0x23, 0xBA, 0x44, 0x42, 0xCA, 0xF5, 0x3E, 0xA6, + 0x3B, 0xB4, 0x54, 0x32, 0x9B, 0x76, 0x24, 0xC8, 0x91, 0x7B, 0xDD, 0x64, + 0xB1, 0xC0, 0xFD, 0x4C, 0xB3, 0x8E, 0x8C, 0x33, 0x4C, 0x70, 0x1C, 0x3A, + 0xCD, 0xAD, 0x06, 0x57, 0xFC, 0xCF, 0xEC, 0x71, 0x9B, 0x1F, 0x5C, 0x3E, + 0x4E, 0x46, 0x04, 0x1F, 0x38, 0x81, 0x47, 0xFB, 0x4C, 0xFD, 0xB4, 0x77, + 0xA5, 0x24, 0x71, 0xF7, 0xA9, 0xA9, 0x69, 0x10, 0xB8, 0x55, 0x32, 0x2E, + 0xDB, 0x63, 0x40, 0xD8, 0xA0, 0x0E, 0xF0, 0x92, 0x35, 0x05, 0x11, 0xE3, + 0x0A, 0xBE, 0xC1, 0xFF, 0xF9, 0xE3, 0xA2, 0x6E, 0x7F, 0xB2, 0x9F, 0x8C, + 0x18, 0x30, 0x23, 0xC3, 0x58, 0x7E, 0x38, 0xDA, 0x00, 0x77, 0xD9, 0xB4, + 0x76, 0x3E, 0x4E, 0x4B, 0x94, 0xB2, 0xBB, 0xC1, 0x94, 0xC6, 0x65, 0x1E, + 0x77, 0xCA, 0xF9, 0x92, 0xEE, 0xAA, 0xC0, 0x23, 0x2A, 0x28, 0x1B, 0xF6, + 0xB3, 0xA7, 0x39, 0xC1, 0x22, 0x61, 0x16, 0x82, 0x0A, 0xE8, 0xDB, 0x58, + 0x47, 0xA6, 0x7C, 0xBE, 0xF9, 0xC9, 0x09, 0x1B, 0x46, 0x2D, 0x53, 0x8C, + 0xD7, 0x2B, 0x03, 0x74, 0x6A, 0xE7, 0x7F, 0x5E, 0x62, 0x29, 0x2C, 0x31, + 0x15, 0x62, 0xA8, 0x46, 0x50, 0x5D, 0xC8, 0x2D, 0xB8, 0x54, 0x33, 0x8A, + 0xE4, 0x9F, 0x52, 0x35, 0xC9, 0x5B, 0x91, 0x17, 0x8C, 0xCF, 0x2D, 0xD5, + 0xCA, 0xCE, 0xF4, 0x03, 0xEC, 0x9D, 0x18, 0x10, 0xC6, 0x27, 0x2B, 0x04, + 0x5B, 0x3B, 0x71, 0xF9, 0xDC, 0x6B, 0x80, 0xD6, 0x3F, 0xDD, 0x4A, 0x8E, + 0x9A, 0xDB, 0x1E, 0x69, 0x62, 0xA6, 0x95, 0x26, 0xD4, 0x31, 0x61, 0xC1, + 0xA4, 0x1D, 0x57, 0x0D, 0x79, 0x38, 0xDA, 0xD4, 0xA4, 0x0E, 0x32, 0x9C, + 0xCF, 0xF4, 0x6A, 0xAA, 0x36, 0xAD, 0x00, 0x4C, 0xF6, 0x00, 0xC8, 0x38, + 0x1E, 0x42, 0x5A, 0x31, 0xD9, 0x51, 0xAE, 0x64, 0xFD, 0xB2, 0x3F, 0xCE, + 0xC9, 0x50, 0x9D, 0x43, 0x68, 0x7F, 0xEB, 0x69, 0xED, 0xD1, 0xCC, 0x5E, + 0x0B, 0x8C, 0xC3, 0xBD, 0xF6, 0x4B, 0x10, 0xEF, 0x86, 0xB6, 0x31, 0x42, + 0xA3, 0xAB, 0x88, 0x29, 0x55, 0x5B, 0x2F, 0x74, 0x7C, 0x93, 0x26, 0x65, + 0xCB, 0x2C, 0x0F, 0x1C, 0xC0, 0x1B, 0xD7, 0x02, 0x29, 0x38, 0x88, 0x39, + 0xD2, 0xAF, 0x05, 0xE4, 0x54, 0x50, 0x4A, 0xC7, 0x8B, 0x75, 0x82, 0x82, + 0x28, 0x46, 0xC0, 0xBA, 0x35, 0xC3, 0x5F, 0x5C, 0x59, 0x16, 0x0C, 0xC0, + 0x46, 0xFD, 0x82, 0x51, 0x54, 0x1F, 0xC6, 0x8C, 0x9C, 0x86, 0xB0, 0x22, + 0xBB, 0x70, 0x99, 0x87, 0x6A, 0x46, 0x0E, 0x74, 0x51, 0xA8, 0xA9, 0x31, + 0x09, 0x70, 0x3F, 0xEE, 0x1C, 0x21, 0x7E, 0x6C, 0x38, 0x26, 0xE5, 0x2C, + 0x51, 0xAA, 0x69, 0x1E, 0x0E, 0x42, 0x3C, 0xFC, 0x99, 0xE9, 0xE3, 0x16, + 0x50, 0xC1, 0x21, 0x7B, 0x62, 0x48, 0x16, 0xCD, 0xAD, 0x9A, 0x95, 0xF9, + 0xD5, 0xB8, 0x01, 0x94, 0x88, 0xD9, 0xC0, 0xA0, 0xA1, 0xFE, 0x30, 0x75, + 0xA5, 0x77, 0xE2, 0x31, 0x83, 0xF8, 0x1D, 0x4A, 0x3F, 0x2F, 0xA4, 0x57, + 0x1E, 0xFC, 0x8C, 0xE0, 0xBA, 0x8A, 0x4F, 0xE8, 0xB6, 0x85, 0x5D, 0xFE, + 0x72, 0xB0, 0xA6, 0x6E, 0xDE, 0xD2, 0xFB, 0xAB, 0xFB, 0xE5, 0x8A, 0x30, + 0xFA, 0xFA, 0xBE, 0x1C, 0x5D, 0x71, 0xA8, 0x7E, 0x2F, 0x74, 0x1E, 0xF8, + 0xC1, 0xFE, 0x86, 0xFE, 0xA6, 0xBB, 0xFD, 0xE5, 0x30, 0x67, 0x7F, 0x0D, + 0x97, 0xD1, 0x1D, 0x49, 0xF7, 0xA8, 0x44, 0x3D, 0x08, 0x22, 0xE5, 0x06, + 0xA9, 0xF4, 0x61, 0x4E, 0x01, 0x1E, 0x2A, 0x94, 0x83, 0x8F, 0xF8, 0x8C, + 0xD6, 0x8C, 0x8B, 0xB7, 0xC5, 0xC6, 0x42, 0x4C, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF +}; + +/* q=(p-1)/2 for prime prime_ike_1536 */ +static const unsigned char subprime_ike_1536_data[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x11, 0xb9, 0x93, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_ike_2048 */ +static const unsigned char subprime_ike_2048_data[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d, + 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1, + 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64, + 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe, + 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88, + 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x56, 0x55, 0x34, 0x7f, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_tls_2048 */ +static const unsigned char subprime_tls_2048_data[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c, + 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78, + 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20, + 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c, + 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01, + 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0, + 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa, + 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a, + 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed, + 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a, + 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1, + 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd, + 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51, + 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c, + 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70, + 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0, + 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19, + 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9, + 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1, + 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd, + 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x94, 0x2e, 0x4b, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_ike_3072 */ +static const unsigned char subprime_ike_3072_data[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d, + 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1, + 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64, + 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe, + 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88, + 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x55, 0x62, 0x16, 0xd6, 0x99, 0x8b, 0x86, + 0x82, 0x28, 0x3d, 0x19, 0xd4, 0x2a, 0x90, 0xd5, 0xef, 0x8e, 0x5d, 0x32, + 0x76, 0x7d, 0xc2, 0x82, 0x2c, 0x6d, 0xf7, 0x85, 0x45, 0x75, 0x38, 0xab, + 0xae, 0x83, 0x06, 0x3e, 0xd9, 0xcb, 0x87, 0xc2, 0xd3, 0x70, 0xf2, 0x63, + 0xd5, 0xfa, 0xd7, 0x46, 0x6d, 0x84, 0x99, 0xeb, 0x8f, 0x46, 0x4a, 0x70, + 0x25, 0x12, 0xb0, 0xce, 0xe7, 0x71, 0xe9, 0x13, 0x0d, 0x69, 0x77, 0x35, + 0xf8, 0x97, 0xfd, 0x03, 0x6c, 0xc5, 0x04, 0x32, 0x6c, 0x3b, 0x01, 0x39, + 0x9f, 0x64, 0x35, 0x32, 0x29, 0x0f, 0x95, 0x8c, 0x0b, 0xbd, 0x90, 0x06, + 0x5d, 0xf0, 0x8b, 0xab, 0xbd, 0x30, 0xae, 0xb6, 0x3b, 0x84, 0xc4, 0x60, + 0x5d, 0x6c, 0xa3, 0x71, 0x04, 0x71, 0x27, 0xd0, 0x3a, 0x72, 0xd5, 0x98, + 0xa1, 0xed, 0xad, 0xfe, 0x70, 0x7e, 0x88, 0x47, 0x25, 0xc1, 0x68, 0x90, + 0x54, 0x9d, 0x69, 0x65, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_tls_3072 */ +static const unsigned char subprime_tls_3072_data[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c, + 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78, + 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20, + 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c, + 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01, + 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0, + 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa, + 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a, + 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed, + 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a, + 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1, + 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd, + 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51, + 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c, + 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70, + 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0, + 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19, + 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9, + 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1, + 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd, + 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x8f, 0xe7, 0xee, 0x6f, 0x1a, 0xad, 0x9d, + 0xb2, 0x8c, 0x81, 0xad, 0xde, 0x1a, 0x7a, 0x6f, 0x7c, 0xce, 0x01, 0x1c, + 0x30, 0xda, 0x37, 0xe4, 0xeb, 0x73, 0x64, 0x83, 0xbd, 0x6c, 0x8e, 0x93, + 0x48, 0xfb, 0xfb, 0xf7, 0x2c, 0xc6, 0x58, 0x7d, 0x60, 0xc3, 0x6c, 0x8e, + 0x57, 0x7f, 0x09, 0x84, 0xc2, 0x89, 0xc9, 0x38, 0x5a, 0x09, 0x86, 0x49, + 0xde, 0x21, 0xbc, 0xa2, 0x7a, 0x7e, 0xa2, 0x29, 0x71, 0x6b, 0xa6, 0xe9, + 0xb2, 0x79, 0x71, 0x0f, 0x38, 0xfa, 0xa5, 0xff, 0xae, 0x57, 0x41, 0x55, + 0xce, 0x4e, 0xfb, 0x4f, 0x74, 0x36, 0x95, 0xe2, 0x91, 0x1b, 0x1d, 0x06, + 0xd5, 0xe2, 0x90, 0xcb, 0xcd, 0x86, 0xf5, 0x6d, 0x0e, 0xdf, 0xcd, 0x21, + 0x6a, 0xe2, 0x24, 0x27, 0x05, 0x5e, 0x68, 0x35, 0xfd, 0x29, 0xee, 0xf7, + 0x9e, 0x0d, 0x90, 0x77, 0x1f, 0xea, 0xce, 0xbe, 0x12, 0xf2, 0x0e, 0x95, + 0xb3, 0x63, 0x17, 0x1b, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_ike_4096 */ +static const unsigned char subprime_ike_4096_data[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d, + 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1, + 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64, + 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe, + 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88, + 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x55, 0x62, 0x16, 0xd6, 0x99, 0x8b, 0x86, + 0x82, 0x28, 0x3d, 0x19, 0xd4, 0x2a, 0x90, 0xd5, 0xef, 0x8e, 0x5d, 0x32, + 0x76, 0x7d, 0xc2, 0x82, 0x2c, 0x6d, 0xf7, 0x85, 0x45, 0x75, 0x38, 0xab, + 0xae, 0x83, 0x06, 0x3e, 0xd9, 0xcb, 0x87, 0xc2, 0xd3, 0x70, 0xf2, 0x63, + 0xd5, 0xfa, 0xd7, 0x46, 0x6d, 0x84, 0x99, 0xeb, 0x8f, 0x46, 0x4a, 0x70, + 0x25, 0x12, 0xb0, 0xce, 0xe7, 0x71, 0xe9, 0x13, 0x0d, 0x69, 0x77, 0x35, + 0xf8, 0x97, 0xfd, 0x03, 0x6c, 0xc5, 0x04, 0x32, 0x6c, 0x3b, 0x01, 0x39, + 0x9f, 0x64, 0x35, 0x32, 0x29, 0x0f, 0x95, 0x8c, 0x0b, 0xbd, 0x90, 0x06, + 0x5d, 0xf0, 0x8b, 0xab, 0xbd, 0x30, 0xae, 0xb6, 0x3b, 0x84, 0xc4, 0x60, + 0x5d, 0x6c, 0xa3, 0x71, 0x04, 0x71, 0x27, 0xd0, 0x3a, 0x72, 0xd5, 0x98, + 0xa1, 0xed, 0xad, 0xfe, 0x70, 0x7e, 0x88, 0x47, 0x25, 0xc1, 0x68, 0x90, + 0x54, 0x90, 0x84, 0x00, 0x8d, 0x39, 0x1e, 0x09, 0x53, 0xc3, 0xf3, 0x6b, + 0xc4, 0x38, 0xcd, 0x08, 0x5e, 0xdd, 0x2d, 0x93, 0x4c, 0xe1, 0x93, 0x8c, + 0x35, 0x7a, 0x71, 0x1e, 0x0d, 0x4a, 0x34, 0x1a, 0x5b, 0x0a, 0x85, 0xed, + 0x12, 0xc1, 0xf4, 0xe5, 0x15, 0x6a, 0x26, 0x74, 0x6d, 0xdd, 0xe1, 0x6d, + 0x82, 0x6f, 0x47, 0x7c, 0x97, 0x47, 0x7e, 0x0a, 0x0f, 0xdf, 0x65, 0x53, + 0x14, 0x3e, 0x2c, 0xa3, 0xa7, 0x35, 0xe0, 0x2e, 0xcc, 0xd9, 0x4b, 0x27, + 0xd0, 0x48, 0x61, 0xd1, 0x11, 0x9d, 0xd0, 0xc3, 0x28, 0xad, 0xf3, 0xf6, + 0x8f, 0xb0, 0x94, 0xb8, 0x67, 0x71, 0x6b, 0xd7, 0xdc, 0x0d, 0xee, 0xbb, + 0x10, 0xb8, 0x24, 0x0e, 0x68, 0x03, 0x48, 0x93, 0xea, 0xd8, 0x2d, 0x54, + 0xc9, 0xda, 0x75, 0x4c, 0x46, 0xc7, 0xee, 0xe0, 0xc3, 0x7f, 0xdb, 0xee, + 0x48, 0x53, 0x60, 0x47, 0xa6, 0xfa, 0x1a, 0xe4, 0x9a, 0x03, 0x18, 0xcc, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_tls_4096 */ +static const unsigned char subprime_tls_4096_data[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c, + 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78, + 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20, + 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c, + 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01, + 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0, + 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa, + 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a, + 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed, + 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a, + 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1, + 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd, + 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51, + 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c, + 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70, + 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0, + 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19, + 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9, + 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1, + 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd, + 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x8f, 0xe7, 0xee, 0x6f, 0x1a, 0xad, 0x9d, + 0xb2, 0x8c, 0x81, 0xad, 0xde, 0x1a, 0x7a, 0x6f, 0x7c, 0xce, 0x01, 0x1c, + 0x30, 0xda, 0x37, 0xe4, 0xeb, 0x73, 0x64, 0x83, 0xbd, 0x6c, 0x8e, 0x93, + 0x48, 0xfb, 0xfb, 0xf7, 0x2c, 0xc6, 0x58, 0x7d, 0x60, 0xc3, 0x6c, 0x8e, + 0x57, 0x7f, 0x09, 0x84, 0xc2, 0x89, 0xc9, 0x38, 0x5a, 0x09, 0x86, 0x49, + 0xde, 0x21, 0xbc, 0xa2, 0x7a, 0x7e, 0xa2, 0x29, 0x71, 0x6b, 0xa6, 0xe9, + 0xb2, 0x79, 0x71, 0x0f, 0x38, 0xfa, 0xa5, 0xff, 0xae, 0x57, 0x41, 0x55, + 0xce, 0x4e, 0xfb, 0x4f, 0x74, 0x36, 0x95, 0xe2, 0x91, 0x1b, 0x1d, 0x06, + 0xd5, 0xe2, 0x90, 0xcb, 0xcd, 0x86, 0xf5, 0x6d, 0x0e, 0xdf, 0xcd, 0x21, + 0x6a, 0xe2, 0x24, 0x27, 0x05, 0x5e, 0x68, 0x35, 0xfd, 0x29, 0xee, 0xf7, + 0x9e, 0x0d, 0x90, 0x77, 0x1f, 0xea, 0xce, 0xbe, 0x12, 0xf2, 0x0e, 0x95, + 0xb3, 0x4f, 0x0f, 0x78, 0xb7, 0x37, 0xa9, 0x61, 0x8b, 0x26, 0xfa, 0x7d, + 0xbc, 0x98, 0x74, 0xf2, 0x72, 0xc4, 0x2b, 0xdb, 0x56, 0x3e, 0xaf, 0xa1, + 0x6b, 0x4f, 0xb6, 0x8c, 0x3b, 0xb1, 0xe7, 0x8e, 0xaa, 0x81, 0xa0, 0x02, + 0x43, 0xfa, 0xad, 0xd2, 0xbf, 0x18, 0xe6, 0x3d, 0x38, 0x9a, 0xe4, 0x43, + 0x77, 0xda, 0x18, 0xc5, 0x76, 0xb5, 0x0f, 0x00, 0x96, 0xcf, 0x34, 0x19, + 0x54, 0x83, 0xb0, 0x05, 0x48, 0xc0, 0x98, 0x62, 0x36, 0xe3, 0xbc, 0x7c, + 0xb8, 0xd6, 0x80, 0x1c, 0x04, 0x94, 0xcc, 0xd1, 0x99, 0xe5, 0xc5, 0xbd, + 0x0d, 0x0e, 0xdc, 0x9e, 0xb8, 0xa0, 0x00, 0x1e, 0x15, 0x27, 0x67, 0x54, + 0xfc, 0xc6, 0x85, 0x66, 0x05, 0x41, 0x48, 0xe6, 0xe7, 0x64, 0xbe, 0xe7, + 0xc7, 0x64, 0xda, 0xad, 0x3f, 0xc4, 0x52, 0x35, 0xa6, 0xda, 0xd4, 0x28, + 0xfa, 0x20, 0xc1, 0x70, 0xe3, 0x45, 0x00, 0x3f, 0x2f, 0x32, 0xaf, 0xb5, + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_ike_6144 */ +static const unsigned char subprime_ike_6144_data[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d, + 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1, + 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64, + 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe, + 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88, + 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x55, 0x62, 0x16, 0xd6, 0x99, 0x8b, 0x86, + 0x82, 0x28, 0x3d, 0x19, 0xd4, 0x2a, 0x90, 0xd5, 0xef, 0x8e, 0x5d, 0x32, + 0x76, 0x7d, 0xc2, 0x82, 0x2c, 0x6d, 0xf7, 0x85, 0x45, 0x75, 0x38, 0xab, + 0xae, 0x83, 0x06, 0x3e, 0xd9, 0xcb, 0x87, 0xc2, 0xd3, 0x70, 0xf2, 0x63, + 0xd5, 0xfa, 0xd7, 0x46, 0x6d, 0x84, 0x99, 0xeb, 0x8f, 0x46, 0x4a, 0x70, + 0x25, 0x12, 0xb0, 0xce, 0xe7, 0x71, 0xe9, 0x13, 0x0d, 0x69, 0x77, 0x35, + 0xf8, 0x97, 0xfd, 0x03, 0x6c, 0xc5, 0x04, 0x32, 0x6c, 0x3b, 0x01, 0x39, + 0x9f, 0x64, 0x35, 0x32, 0x29, 0x0f, 0x95, 0x8c, 0x0b, 0xbd, 0x90, 0x06, + 0x5d, 0xf0, 0x8b, 0xab, 0xbd, 0x30, 0xae, 0xb6, 0x3b, 0x84, 0xc4, 0x60, + 0x5d, 0x6c, 0xa3, 0x71, 0x04, 0x71, 0x27, 0xd0, 0x3a, 0x72, 0xd5, 0x98, + 0xa1, 0xed, 0xad, 0xfe, 0x70, 0x7e, 0x88, 0x47, 0x25, 0xc1, 0x68, 0x90, + 0x54, 0x90, 0x84, 0x00, 0x8d, 0x39, 0x1e, 0x09, 0x53, 0xc3, 0xf3, 0x6b, + 0xc4, 0x38, 0xcd, 0x08, 0x5e, 0xdd, 0x2d, 0x93, 0x4c, 0xe1, 0x93, 0x8c, + 0x35, 0x7a, 0x71, 0x1e, 0x0d, 0x4a, 0x34, 0x1a, 0x5b, 0x0a, 0x85, 0xed, + 0x12, 0xc1, 0xf4, 0xe5, 0x15, 0x6a, 0x26, 0x74, 0x6d, 0xdd, 0xe1, 0x6d, + 0x82, 0x6f, 0x47, 0x7c, 0x97, 0x47, 0x7e, 0x0a, 0x0f, 0xdf, 0x65, 0x53, + 0x14, 0x3e, 0x2c, 0xa3, 0xa7, 0x35, 0xe0, 0x2e, 0xcc, 0xd9, 0x4b, 0x27, + 0xd0, 0x48, 0x61, 0xd1, 0x11, 0x9d, 0xd0, 0xc3, 0x28, 0xad, 0xf3, 0xf6, + 0x8f, 0xb0, 0x94, 0xb8, 0x67, 0x71, 0x6b, 0xd7, 0xdc, 0x0d, 0xee, 0xbb, + 0x10, 0xb8, 0x24, 0x0e, 0x68, 0x03, 0x48, 0x93, 0xea, 0xd8, 0x2d, 0x54, + 0xc9, 0xda, 0x75, 0x4c, 0x46, 0xc7, 0xee, 0xe0, 0xc3, 0x7f, 0xdb, 0xee, + 0x48, 0x53, 0x60, 0x47, 0xa6, 0xfa, 0x1a, 0xe4, 0x9a, 0x01, 0x42, 0x49, + 0x1b, 0x61, 0xfd, 0x5a, 0x69, 0x3e, 0x38, 0x13, 0x60, 0xea, 0x6e, 0x59, + 0x30, 0x13, 0x23, 0x6f, 0x64, 0xba, 0x8f, 0x3b, 0x1e, 0xdd, 0x1b, 0xde, + 0xfc, 0x7f, 0xca, 0x03, 0x56, 0xcf, 0x29, 0x87, 0x72, 0xed, 0x9c, 0x17, + 0xa0, 0x98, 0x00, 0xd7, 0x58, 0x35, 0x29, 0xf6, 0xc8, 0x13, 0xec, 0x18, + 0x8b, 0xcb, 0x93, 0xd8, 0x43, 0x2d, 0x44, 0x8c, 0x6d, 0x1f, 0x6d, 0xf5, + 0xe7, 0xcd, 0x8a, 0x76, 0xa2, 0x67, 0x36, 0x5d, 0x67, 0x6a, 0x5d, 0x8d, + 0xed, 0xbf, 0x8a, 0x23, 0xf3, 0x66, 0x12, 0xa5, 0x99, 0x90, 0x28, 0xa8, + 0x95, 0xeb, 0xd7, 0xa1, 0x37, 0xdc, 0x7a, 0x00, 0x9b, 0xc6, 0x69, 0x5f, + 0xac, 0xc1, 0xe5, 0x00, 0xe3, 0x25, 0xc9, 0x76, 0x78, 0x19, 0x75, 0x0a, + 0xe8, 0xb9, 0x0e, 0x81, 0xfa, 0x41, 0x6b, 0xe7, 0x37, 0x3a, 0x7f, 0x7b, + 0x6a, 0xaf, 0x38, 0x17, 0xa3, 0x4c, 0x06, 0x41, 0x5a, 0xd4, 0x20, 0x18, + 0xc8, 0x05, 0x8e, 0x4f, 0x2c, 0xf3, 0xe4, 0xbf, 0xdf, 0x63, 0xf4, 0x79, + 0x91, 0xd4, 0xbd, 0x3f, 0x1b, 0x66, 0x44, 0x5f, 0x07, 0x8e, 0xa2, 0xdb, + 0xff, 0xac, 0x2d, 0x62, 0xa5, 0xea, 0x03, 0xd9, 0x15, 0xa0, 0xaa, 0x55, + 0x66, 0x47, 0xb6, 0xbf, 0x5f, 0xa4, 0x70, 0xec, 0x0a, 0x66, 0x2f, 0x69, + 0x07, 0xc0, 0x1b, 0xf0, 0x53, 0xcb, 0x8a, 0xf7, 0x79, 0x4d, 0xf1, 0x94, + 0x03, 0x50, 0xea, 0xc5, 0xdb, 0xe2, 0xed, 0x3b, 0x7a, 0xa8, 0x55, 0x1e, + 0xc5, 0x0f, 0xdf, 0xf8, 0x75, 0x8c, 0xe6, 0x58, 0xd1, 0x89, 0xea, 0xae, + 0x6d, 0x2b, 0x64, 0xf6, 0x17, 0x79, 0x4b, 0x19, 0x1c, 0x3f, 0xf4, 0x6b, + 0xb7, 0x1e, 0x02, 0x34, 0x02, 0x1f, 0x47, 0xb3, 0x1f, 0xa4, 0x30, 0x77, + 0x09, 0x5f, 0x96, 0xad, 0x85, 0xba, 0x3a, 0x6b, 0x73, 0x4a, 0x7c, 0x8f, + 0x36, 0xe6, 0x20, 0x12, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_tls_6144 */ +static const unsigned char subprime_tls_6144_data[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c, + 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78, + 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20, + 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c, + 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01, + 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0, + 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa, + 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a, + 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed, + 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a, + 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1, + 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd, + 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51, + 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c, + 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70, + 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0, + 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19, + 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9, + 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1, + 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd, + 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x8f, 0xe7, 0xee, 0x6f, 0x1a, 0xad, 0x9d, + 0xb2, 0x8c, 0x81, 0xad, 0xde, 0x1a, 0x7a, 0x6f, 0x7c, 0xce, 0x01, 0x1c, + 0x30, 0xda, 0x37, 0xe4, 0xeb, 0x73, 0x64, 0x83, 0xbd, 0x6c, 0x8e, 0x93, + 0x48, 0xfb, 0xfb, 0xf7, 0x2c, 0xc6, 0x58, 0x7d, 0x60, 0xc3, 0x6c, 0x8e, + 0x57, 0x7f, 0x09, 0x84, 0xc2, 0x89, 0xc9, 0x38, 0x5a, 0x09, 0x86, 0x49, + 0xde, 0x21, 0xbc, 0xa2, 0x7a, 0x7e, 0xa2, 0x29, 0x71, 0x6b, 0xa6, 0xe9, + 0xb2, 0x79, 0x71, 0x0f, 0x38, 0xfa, 0xa5, 0xff, 0xae, 0x57, 0x41, 0x55, + 0xce, 0x4e, 0xfb, 0x4f, 0x74, 0x36, 0x95, 0xe2, 0x91, 0x1b, 0x1d, 0x06, + 0xd5, 0xe2, 0x90, 0xcb, 0xcd, 0x86, 0xf5, 0x6d, 0x0e, 0xdf, 0xcd, 0x21, + 0x6a, 0xe2, 0x24, 0x27, 0x05, 0x5e, 0x68, 0x35, 0xfd, 0x29, 0xee, 0xf7, + 0x9e, 0x0d, 0x90, 0x77, 0x1f, 0xea, 0xce, 0xbe, 0x12, 0xf2, 0x0e, 0x95, + 0xb3, 0x4f, 0x0f, 0x78, 0xb7, 0x37, 0xa9, 0x61, 0x8b, 0x26, 0xfa, 0x7d, + 0xbc, 0x98, 0x74, 0xf2, 0x72, 0xc4, 0x2b, 0xdb, 0x56, 0x3e, 0xaf, 0xa1, + 0x6b, 0x4f, 0xb6, 0x8c, 0x3b, 0xb1, 0xe7, 0x8e, 0xaa, 0x81, 0xa0, 0x02, + 0x43, 0xfa, 0xad, 0xd2, 0xbf, 0x18, 0xe6, 0x3d, 0x38, 0x9a, 0xe4, 0x43, + 0x77, 0xda, 0x18, 0xc5, 0x76, 0xb5, 0x0f, 0x00, 0x96, 0xcf, 0x34, 0x19, + 0x54, 0x83, 0xb0, 0x05, 0x48, 0xc0, 0x98, 0x62, 0x36, 0xe3, 0xbc, 0x7c, + 0xb8, 0xd6, 0x80, 0x1c, 0x04, 0x94, 0xcc, 0xd1, 0x99, 0xe5, 0xc5, 0xbd, + 0x0d, 0x0e, 0xdc, 0x9e, 0xb8, 0xa0, 0x00, 0x1e, 0x15, 0x27, 0x67, 0x54, + 0xfc, 0xc6, 0x85, 0x66, 0x05, 0x41, 0x48, 0xe6, 0xe7, 0x64, 0xbe, 0xe7, + 0xc7, 0x64, 0xda, 0xad, 0x3f, 0xc4, 0x52, 0x35, 0xa6, 0xda, 0xd4, 0x28, + 0xfa, 0x20, 0xc1, 0x70, 0xe3, 0x45, 0x00, 0x3f, 0x2f, 0x06, 0xec, 0x81, + 0x05, 0xfe, 0xb2, 0x5b, 0x22, 0x81, 0xb6, 0x3d, 0x27, 0x33, 0xbe, 0x96, + 0x1c, 0x29, 0x95, 0x1d, 0x11, 0xdd, 0x22, 0x21, 0x65, 0x7a, 0x9f, 0x53, + 0x1d, 0xda, 0x2a, 0x19, 0x4d, 0xbb, 0x12, 0x64, 0x48, 0xbd, 0xee, 0xb2, + 0x58, 0xe0, 0x7e, 0xa6, 0x59, 0xc7, 0x46, 0x19, 0xa6, 0x38, 0x0e, 0x1d, + 0x66, 0xd6, 0x83, 0x2b, 0xfe, 0x67, 0xf6, 0x38, 0xcd, 0x8f, 0xae, 0x1f, + 0x27, 0x23, 0x02, 0x0f, 0x9c, 0x40, 0xa3, 0xfd, 0xa6, 0x7e, 0xda, 0x3b, + 0xd2, 0x92, 0x38, 0xfb, 0xd4, 0xd4, 0xb4, 0x88, 0x5c, 0x2a, 0x99, 0x17, + 0x6d, 0xb1, 0xa0, 0x6c, 0x50, 0x07, 0x78, 0x49, 0x1a, 0x82, 0x88, 0xf1, + 0x85, 0x5f, 0x60, 0xff, 0xfc, 0xf1, 0xd1, 0x37, 0x3f, 0xd9, 0x4f, 0xc6, + 0x0c, 0x18, 0x11, 0xe1, 0xac, 0x3f, 0x1c, 0x6d, 0x00, 0x3b, 0xec, 0xda, + 0x3b, 0x1f, 0x27, 0x25, 0xca, 0x59, 0x5d, 0xe0, 0xca, 0x63, 0x32, 0x8f, + 0x3b, 0xe5, 0x7c, 0xc9, 0x77, 0x55, 0x60, 0x11, 0x95, 0x14, 0x0d, 0xfb, + 0x59, 0xd3, 0x9c, 0xe0, 0x91, 0x30, 0x8b, 0x41, 0x05, 0x74, 0x6d, 0xac, + 0x23, 0xd3, 0x3e, 0x5f, 0x7c, 0xe4, 0x84, 0x8d, 0xa3, 0x16, 0xa9, 0xc6, + 0x6b, 0x95, 0x81, 0xba, 0x35, 0x73, 0xbf, 0xaf, 0x31, 0x14, 0x96, 0x18, + 0x8a, 0xb1, 0x54, 0x23, 0x28, 0x2e, 0xe4, 0x16, 0xdc, 0x2a, 0x19, 0xc5, + 0x72, 0x4f, 0xa9, 0x1a, 0xe4, 0xad, 0xc8, 0x8b, 0xc6, 0x67, 0x96, 0xea, + 0xe5, 0x67, 0x7a, 0x01, 0xf6, 0x4e, 0x8c, 0x08, 0x63, 0x13, 0x95, 0x82, + 0x2d, 0x9d, 0xb8, 0xfc, 0xee, 0x35, 0xc0, 0x6b, 0x1f, 0xee, 0xa5, 0x47, + 0x4d, 0x6d, 0x8f, 0x34, 0xb1, 0x53, 0x4a, 0x93, 0x6a, 0x18, 0xb0, 0xe0, + 0xd2, 0x0e, 0xab, 0x86, 0xbc, 0x9c, 0x6d, 0x6a, 0x52, 0x07, 0x19, 0x4e, + 0x68, 0x72, 0x07, 0x32, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_ike_8192 */ +static const unsigned char subprime_ike_8192_data[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51, + 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68, + 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53, + 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e, + 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36, + 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22, + 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74, + 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6, + 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08, + 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e, + 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b, + 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf, + 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab, + 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36, + 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04, + 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d, + 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1, + 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64, + 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe, + 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88, + 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x55, 0x62, 0x16, 0xd6, 0x99, 0x8b, 0x86, + 0x82, 0x28, 0x3d, 0x19, 0xd4, 0x2a, 0x90, 0xd5, 0xef, 0x8e, 0x5d, 0x32, + 0x76, 0x7d, 0xc2, 0x82, 0x2c, 0x6d, 0xf7, 0x85, 0x45, 0x75, 0x38, 0xab, + 0xae, 0x83, 0x06, 0x3e, 0xd9, 0xcb, 0x87, 0xc2, 0xd3, 0x70, 0xf2, 0x63, + 0xd5, 0xfa, 0xd7, 0x46, 0x6d, 0x84, 0x99, 0xeb, 0x8f, 0x46, 0x4a, 0x70, + 0x25, 0x12, 0xb0, 0xce, 0xe7, 0x71, 0xe9, 0x13, 0x0d, 0x69, 0x77, 0x35, + 0xf8, 0x97, 0xfd, 0x03, 0x6c, 0xc5, 0x04, 0x32, 0x6c, 0x3b, 0x01, 0x39, + 0x9f, 0x64, 0x35, 0x32, 0x29, 0x0f, 0x95, 0x8c, 0x0b, 0xbd, 0x90, 0x06, + 0x5d, 0xf0, 0x8b, 0xab, 0xbd, 0x30, 0xae, 0xb6, 0x3b, 0x84, 0xc4, 0x60, + 0x5d, 0x6c, 0xa3, 0x71, 0x04, 0x71, 0x27, 0xd0, 0x3a, 0x72, 0xd5, 0x98, + 0xa1, 0xed, 0xad, 0xfe, 0x70, 0x7e, 0x88, 0x47, 0x25, 0xc1, 0x68, 0x90, + 0x54, 0x90, 0x84, 0x00, 0x8d, 0x39, 0x1e, 0x09, 0x53, 0xc3, 0xf3, 0x6b, + 0xc4, 0x38, 0xcd, 0x08, 0x5e, 0xdd, 0x2d, 0x93, 0x4c, 0xe1, 0x93, 0x8c, + 0x35, 0x7a, 0x71, 0x1e, 0x0d, 0x4a, 0x34, 0x1a, 0x5b, 0x0a, 0x85, 0xed, + 0x12, 0xc1, 0xf4, 0xe5, 0x15, 0x6a, 0x26, 0x74, 0x6d, 0xdd, 0xe1, 0x6d, + 0x82, 0x6f, 0x47, 0x7c, 0x97, 0x47, 0x7e, 0x0a, 0x0f, 0xdf, 0x65, 0x53, + 0x14, 0x3e, 0x2c, 0xa3, 0xa7, 0x35, 0xe0, 0x2e, 0xcc, 0xd9, 0x4b, 0x27, + 0xd0, 0x48, 0x61, 0xd1, 0x11, 0x9d, 0xd0, 0xc3, 0x28, 0xad, 0xf3, 0xf6, + 0x8f, 0xb0, 0x94, 0xb8, 0x67, 0x71, 0x6b, 0xd7, 0xdc, 0x0d, 0xee, 0xbb, + 0x10, 0xb8, 0x24, 0x0e, 0x68, 0x03, 0x48, 0x93, 0xea, 0xd8, 0x2d, 0x54, + 0xc9, 0xda, 0x75, 0x4c, 0x46, 0xc7, 0xee, 0xe0, 0xc3, 0x7f, 0xdb, 0xee, + 0x48, 0x53, 0x60, 0x47, 0xa6, 0xfa, 0x1a, 0xe4, 0x9a, 0x01, 0x42, 0x49, + 0x1b, 0x61, 0xfd, 0x5a, 0x69, 0x3e, 0x38, 0x13, 0x60, 0xea, 0x6e, 0x59, + 0x30, 0x13, 0x23, 0x6f, 0x64, 0xba, 0x8f, 0x3b, 0x1e, 0xdd, 0x1b, 0xde, + 0xfc, 0x7f, 0xca, 0x03, 0x56, 0xcf, 0x29, 0x87, 0x72, 0xed, 0x9c, 0x17, + 0xa0, 0x98, 0x00, 0xd7, 0x58, 0x35, 0x29, 0xf6, 0xc8, 0x13, 0xec, 0x18, + 0x8b, 0xcb, 0x93, 0xd8, 0x43, 0x2d, 0x44, 0x8c, 0x6d, 0x1f, 0x6d, 0xf5, + 0xe7, 0xcd, 0x8a, 0x76, 0xa2, 0x67, 0x36, 0x5d, 0x67, 0x6a, 0x5d, 0x8d, + 0xed, 0xbf, 0x8a, 0x23, 0xf3, 0x66, 0x12, 0xa5, 0x99, 0x90, 0x28, 0xa8, + 0x95, 0xeb, 0xd7, 0xa1, 0x37, 0xdc, 0x7a, 0x00, 0x9b, 0xc6, 0x69, 0x5f, + 0xac, 0xc1, 0xe5, 0x00, 0xe3, 0x25, 0xc9, 0x76, 0x78, 0x19, 0x75, 0x0a, + 0xe8, 0xb9, 0x0e, 0x81, 0xfa, 0x41, 0x6b, 0xe7, 0x37, 0x3a, 0x7f, 0x7b, + 0x6a, 0xaf, 0x38, 0x17, 0xa3, 0x4c, 0x06, 0x41, 0x5a, 0xd4, 0x20, 0x18, + 0xc8, 0x05, 0x8e, 0x4f, 0x2c, 0xf3, 0xe4, 0xbf, 0xdf, 0x63, 0xf4, 0x79, + 0x91, 0xd4, 0xbd, 0x3f, 0x1b, 0x66, 0x44, 0x5f, 0x07, 0x8e, 0xa2, 0xdb, + 0xff, 0xac, 0x2d, 0x62, 0xa5, 0xea, 0x03, 0xd9, 0x15, 0xa0, 0xaa, 0x55, + 0x66, 0x47, 0xb6, 0xbf, 0x5f, 0xa4, 0x70, 0xec, 0x0a, 0x66, 0x2f, 0x69, + 0x07, 0xc0, 0x1b, 0xf0, 0x53, 0xcb, 0x8a, 0xf7, 0x79, 0x4d, 0xf1, 0x94, + 0x03, 0x50, 0xea, 0xc5, 0xdb, 0xe2, 0xed, 0x3b, 0x7a, 0xa8, 0x55, 0x1e, + 0xc5, 0x0f, 0xdf, 0xf8, 0x75, 0x8c, 0xe6, 0x58, 0xd1, 0x89, 0xea, 0xae, + 0x6d, 0x2b, 0x64, 0xf6, 0x17, 0x79, 0x4b, 0x19, 0x1c, 0x3f, 0xf4, 0x6b, + 0xb7, 0x1e, 0x02, 0x34, 0x02, 0x1f, 0x47, 0xb3, 0x1f, 0xa4, 0x30, 0x77, + 0x09, 0x5f, 0x96, 0xad, 0x85, 0xba, 0x3a, 0x6b, 0x73, 0x4a, 0x7c, 0x8f, + 0x36, 0xdf, 0x08, 0xac, 0xba, 0x51, 0xc9, 0x37, 0x89, 0x7f, 0x72, 0xf2, + 0x1c, 0x3b, 0xbe, 0x5b, 0x54, 0x99, 0x6f, 0xc6, 0x6c, 0x5f, 0x62, 0x68, + 0x39, 0xdc, 0x98, 0xdd, 0x1d, 0xe4, 0x19, 0x5b, 0x46, 0xce, 0xe9, 0x80, + 0x3a, 0x0f, 0xd3, 0xdf, 0xc5, 0x7e, 0x23, 0xf6, 0x92, 0xbb, 0x7b, 0x49, + 0xb5, 0xd2, 0x12, 0x33, 0x1d, 0x55, 0xb1, 0xce, 0x2d, 0x72, 0x7a, 0xb4, + 0x1a, 0x11, 0xda, 0x3a, 0x15, 0xf8, 0xe4, 0xbc, 0x11, 0xc7, 0x8b, 0x65, + 0xf1, 0xce, 0xb2, 0x96, 0xf1, 0xfe, 0xdc, 0x5f, 0x7e, 0x42, 0x45, 0x6c, + 0x91, 0x11, 0x17, 0x02, 0x52, 0x01, 0xbe, 0x03, 0x89, 0xf5, 0xab, 0xd4, + 0x0d, 0x11, 0xf8, 0x63, 0x9a, 0x39, 0xfe, 0x32, 0x36, 0x75, 0x18, 0x35, + 0xa5, 0xe5, 0xe4, 0x43, 0x17, 0xc1, 0xc2, 0xee, 0xfd, 0x4e, 0xa5, 0xbf, + 0xd1, 0x60, 0x43, 0xf4, 0x3c, 0xb4, 0x19, 0x81, 0xf6, 0xad, 0xee, 0x9d, + 0x03, 0x15, 0x9e, 0x7a, 0xd9, 0xd1, 0x3c, 0x53, 0x36, 0x95, 0x09, 0xfc, + 0x1f, 0xa2, 0x7c, 0x16, 0xef, 0x98, 0x87, 0x70, 0x3a, 0x55, 0xb5, 0x1b, + 0x22, 0xcb, 0xf4, 0x4c, 0xd0, 0x12, 0xae, 0xe0, 0xb2, 0x79, 0x8e, 0x62, + 0x84, 0x23, 0x42, 0x8e, 0xfc, 0xd5, 0xa4, 0x0c, 0xae, 0xf6, 0xbf, 0x50, + 0xd8, 0xea, 0x88, 0x5e, 0xbf, 0x73, 0xa6, 0xb9, 0xfd, 0x79, 0xb5, 0xe1, + 0x8f, 0x67, 0xd1, 0x34, 0x1a, 0xc8, 0x23, 0x7a, 0x75, 0xc3, 0xcf, 0xc9, + 0x20, 0x04, 0xa1, 0xc5, 0xa4, 0x0e, 0x36, 0x6b, 0xc4, 0x4d, 0x00, 0x17, + 0x6a, 0xf7, 0x1c, 0x15, 0xe4, 0x8c, 0x86, 0xd3, 0x7e, 0x01, 0x37, 0x23, + 0xca, 0xac, 0x72, 0x23, 0xab, 0x3b, 0xf4, 0xd5, 0x4f, 0x18, 0x28, 0x71, + 0x3b, 0x2b, 0x4a, 0x6f, 0xe4, 0x0f, 0xab, 0x74, 0x40, 0x5c, 0xb7, 0x38, + 0xb0, 0x64, 0xc0, 0x6e, 0xcc, 0x76, 0xe9, 0xef, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, +}; + +/* q=(p-1)/2 for prime prime_tls_8192 */ +static const unsigned char subprime_tls_8192_data[] = { + 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c, + 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78, + 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20, + 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c, + 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01, + 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0, + 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa, + 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a, + 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed, + 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a, + 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1, + 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd, + 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51, + 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c, + 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70, + 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0, + 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19, + 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9, + 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1, + 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd, + 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x8f, 0xe7, 0xee, 0x6f, 0x1a, 0xad, 0x9d, + 0xb2, 0x8c, 0x81, 0xad, 0xde, 0x1a, 0x7a, 0x6f, 0x7c, 0xce, 0x01, 0x1c, + 0x30, 0xda, 0x37, 0xe4, 0xeb, 0x73, 0x64, 0x83, 0xbd, 0x6c, 0x8e, 0x93, + 0x48, 0xfb, 0xfb, 0xf7, 0x2c, 0xc6, 0x58, 0x7d, 0x60, 0xc3, 0x6c, 0x8e, + 0x57, 0x7f, 0x09, 0x84, 0xc2, 0x89, 0xc9, 0x38, 0x5a, 0x09, 0x86, 0x49, + 0xde, 0x21, 0xbc, 0xa2, 0x7a, 0x7e, 0xa2, 0x29, 0x71, 0x6b, 0xa6, 0xe9, + 0xb2, 0x79, 0x71, 0x0f, 0x38, 0xfa, 0xa5, 0xff, 0xae, 0x57, 0x41, 0x55, + 0xce, 0x4e, 0xfb, 0x4f, 0x74, 0x36, 0x95, 0xe2, 0x91, 0x1b, 0x1d, 0x06, + 0xd5, 0xe2, 0x90, 0xcb, 0xcd, 0x86, 0xf5, 0x6d, 0x0e, 0xdf, 0xcd, 0x21, + 0x6a, 0xe2, 0x24, 0x27, 0x05, 0x5e, 0x68, 0x35, 0xfd, 0x29, 0xee, 0xf7, + 0x9e, 0x0d, 0x90, 0x77, 0x1f, 0xea, 0xce, 0xbe, 0x12, 0xf2, 0x0e, 0x95, + 0xb3, 0x4f, 0x0f, 0x78, 0xb7, 0x37, 0xa9, 0x61, 0x8b, 0x26, 0xfa, 0x7d, + 0xbc, 0x98, 0x74, 0xf2, 0x72, 0xc4, 0x2b, 0xdb, 0x56, 0x3e, 0xaf, 0xa1, + 0x6b, 0x4f, 0xb6, 0x8c, 0x3b, 0xb1, 0xe7, 0x8e, 0xaa, 0x81, 0xa0, 0x02, + 0x43, 0xfa, 0xad, 0xd2, 0xbf, 0x18, 0xe6, 0x3d, 0x38, 0x9a, 0xe4, 0x43, + 0x77, 0xda, 0x18, 0xc5, 0x76, 0xb5, 0x0f, 0x00, 0x96, 0xcf, 0x34, 0x19, + 0x54, 0x83, 0xb0, 0x05, 0x48, 0xc0, 0x98, 0x62, 0x36, 0xe3, 0xbc, 0x7c, + 0xb8, 0xd6, 0x80, 0x1c, 0x04, 0x94, 0xcc, 0xd1, 0x99, 0xe5, 0xc5, 0xbd, + 0x0d, 0x0e, 0xdc, 0x9e, 0xb8, 0xa0, 0x00, 0x1e, 0x15, 0x27, 0x67, 0x54, + 0xfc, 0xc6, 0x85, 0x66, 0x05, 0x41, 0x48, 0xe6, 0xe7, 0x64, 0xbe, 0xe7, + 0xc7, 0x64, 0xda, 0xad, 0x3f, 0xc4, 0x52, 0x35, 0xa6, 0xda, 0xd4, 0x28, + 0xfa, 0x20, 0xc1, 0x70, 0xe3, 0x45, 0x00, 0x3f, 0x2f, 0x06, 0xec, 0x81, + 0x05, 0xfe, 0xb2, 0x5b, 0x22, 0x81, 0xb6, 0x3d, 0x27, 0x33, 0xbe, 0x96, + 0x1c, 0x29, 0x95, 0x1d, 0x11, 0xdd, 0x22, 0x21, 0x65, 0x7a, 0x9f, 0x53, + 0x1d, 0xda, 0x2a, 0x19, 0x4d, 0xbb, 0x12, 0x64, 0x48, 0xbd, 0xee, 0xb2, + 0x58, 0xe0, 0x7e, 0xa6, 0x59, 0xc7, 0x46, 0x19, 0xa6, 0x38, 0x0e, 0x1d, + 0x66, 0xd6, 0x83, 0x2b, 0xfe, 0x67, 0xf6, 0x38, 0xcd, 0x8f, 0xae, 0x1f, + 0x27, 0x23, 0x02, 0x0f, 0x9c, 0x40, 0xa3, 0xfd, 0xa6, 0x7e, 0xda, 0x3b, + 0xd2, 0x92, 0x38, 0xfb, 0xd4, 0xd4, 0xb4, 0x88, 0x5c, 0x2a, 0x99, 0x17, + 0x6d, 0xb1, 0xa0, 0x6c, 0x50, 0x07, 0x78, 0x49, 0x1a, 0x82, 0x88, 0xf1, + 0x85, 0x5f, 0x60, 0xff, 0xfc, 0xf1, 0xd1, 0x37, 0x3f, 0xd9, 0x4f, 0xc6, + 0x0c, 0x18, 0x11, 0xe1, 0xac, 0x3f, 0x1c, 0x6d, 0x00, 0x3b, 0xec, 0xda, + 0x3b, 0x1f, 0x27, 0x25, 0xca, 0x59, 0x5d, 0xe0, 0xca, 0x63, 0x32, 0x8f, + 0x3b, 0xe5, 0x7c, 0xc9, 0x77, 0x55, 0x60, 0x11, 0x95, 0x14, 0x0d, 0xfb, + 0x59, 0xd3, 0x9c, 0xe0, 0x91, 0x30, 0x8b, 0x41, 0x05, 0x74, 0x6d, 0xac, + 0x23, 0xd3, 0x3e, 0x5f, 0x7c, 0xe4, 0x84, 0x8d, 0xa3, 0x16, 0xa9, 0xc6, + 0x6b, 0x95, 0x81, 0xba, 0x35, 0x73, 0xbf, 0xaf, 0x31, 0x14, 0x96, 0x18, + 0x8a, 0xb1, 0x54, 0x23, 0x28, 0x2e, 0xe4, 0x16, 0xdc, 0x2a, 0x19, 0xc5, + 0x72, 0x4f, 0xa9, 0x1a, 0xe4, 0xad, 0xc8, 0x8b, 0xc6, 0x67, 0x96, 0xea, + 0xe5, 0x67, 0x7a, 0x01, 0xf6, 0x4e, 0x8c, 0x08, 0x63, 0x13, 0x95, 0x82, + 0x2d, 0x9d, 0xb8, 0xfc, 0xee, 0x35, 0xc0, 0x6b, 0x1f, 0xee, 0xa5, 0x47, + 0x4d, 0x6d, 0x8f, 0x34, 0xb1, 0x53, 0x4a, 0x93, 0x6a, 0x18, 0xb0, 0xe0, + 0xd2, 0x0e, 0xab, 0x86, 0xbc, 0x9c, 0x6d, 0x6a, 0x52, 0x07, 0x19, 0x4e, + 0x67, 0xfa, 0x35, 0x55, 0x1b, 0x56, 0x80, 0x26, 0x7b, 0x00, 0x64, 0x1c, + 0x0f, 0x21, 0x2d, 0x18, 0xec, 0xa8, 0xd7, 0x32, 0x7e, 0xd9, 0x1f, 0xe7, + 0x64, 0xa8, 0x4e, 0xa1, 0xb4, 0x3f, 0xf5, 0xb4, 0xf6, 0xe8, 0xe6, 0x2f, + 0x05, 0xc6, 0x61, 0xde, 0xfb, 0x25, 0x88, 0x77, 0xc3, 0x5b, 0x18, 0xa1, + 0x51, 0xd5, 0xc4, 0x14, 0xaa, 0xad, 0x97, 0xba, 0x3e, 0x49, 0x93, 0x32, + 0xe5, 0x96, 0x07, 0x8e, 0x60, 0x0d, 0xeb, 0x81, 0x14, 0x9c, 0x44, 0x1c, + 0xe9, 0x57, 0x82, 0xf2, 0x2a, 0x28, 0x25, 0x63, 0xc5, 0xba, 0xc1, 0x41, + 0x14, 0x23, 0x60, 0x5d, 0x1a, 0xe1, 0xaf, 0xae, 0x2c, 0x8b, 0x06, 0x60, + 0x23, 0x7e, 0xc1, 0x28, 0xaa, 0x0f, 0xe3, 0x46, 0x4e, 0x43, 0x58, 0x11, + 0x5d, 0xb8, 0x4c, 0xc3, 0xb5, 0x23, 0x07, 0x3a, 0x28, 0xd4, 0x54, 0x98, + 0x84, 0xb8, 0x1f, 0xf7, 0x0e, 0x10, 0xbf, 0x36, 0x1c, 0x13, 0x72, 0x96, + 0x28, 0xd5, 0x34, 0x8f, 0x07, 0x21, 0x1e, 0x7e, 0x4c, 0xf4, 0xf1, 0x8b, + 0x28, 0x60, 0x90, 0xbd, 0xb1, 0x24, 0x0b, 0x66, 0xd6, 0xcd, 0x4a, 0xfc, + 0xea, 0xdc, 0x00, 0xca, 0x44, 0x6c, 0xe0, 0x50, 0x50, 0xff, 0x18, 0x3a, + 0xd2, 0xbb, 0xf1, 0x18, 0xc1, 0xfc, 0x0e, 0xa5, 0x1f, 0x97, 0xd2, 0x2b, + 0x8f, 0x7e, 0x46, 0x70, 0x5d, 0x45, 0x27, 0xf4, 0x5b, 0x42, 0xae, 0xff, + 0x39, 0x58, 0x53, 0x37, 0x6f, 0x69, 0x7d, 0xd5, 0xfd, 0xf2, 0xc5, 0x18, + 0x7d, 0x7d, 0x5f, 0x0e, 0x2e, 0xb8, 0xd4, 0x3f, 0x17, 0xba, 0x0f, 0x7c, + 0x60, 0xff, 0x43, 0x7f, 0x53, 0x5d, 0xfe, 0xf2, 0x98, 0x33, 0xbf, 0x86, + 0xcb, 0xe8, 0x8e, 0xa4, 0xfb, 0xd4, 0x22, 0x1e, 0x84, 0x11, 0x72, 0x83, + 0x54, 0xfa, 0x30, 0xa7, 0x00, 0x8f, 0x15, 0x4a, 0x41, 0xc7, 0xfc, 0x46, + 0x6b, 0x46, 0x45, 0xdb, 0xe2, 0xe3, 0x21, 0x26, 0x7f, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, +}; + +static const SECItem subprime_ike_1536 = + { siBuffer, + (unsigned char *)subprime_ike_1536_data, + sizeof(subprime_ike_1536_data) }; +static const SECItem subprime_ike_2048 = + { siBuffer, + (unsigned char *)subprime_ike_2048_data, + sizeof(subprime_ike_2048_data) }; +static const SECItem subprime_ike_3072 = + { siBuffer, + (unsigned char *)subprime_ike_3072_data, + sizeof(subprime_ike_3072_data) }; +static const SECItem subprime_ike_4096 = + { siBuffer, + (unsigned char *)subprime_ike_4096_data, + sizeof(subprime_ike_4096_data) }; +static const SECItem subprime_ike_6144 = + { siBuffer, + (unsigned char *)subprime_ike_6144_data, + sizeof(subprime_ike_6144_data) }; +static const SECItem subprime_ike_8192 = + { siBuffer, + (unsigned char *)subprime_ike_8192_data, + sizeof(subprime_ike_8192_data) }; +static const SECItem subprime_tls_2048 = + { siBuffer, + (unsigned char *)subprime_tls_2048_data, + sizeof(subprime_tls_2048_data) }; +static const SECItem subprime_tls_3072 = + { siBuffer, + (unsigned char *)subprime_tls_3072_data, + sizeof(subprime_tls_3072_data) }; +static const SECItem subprime_tls_4096 = + { siBuffer, + (unsigned char *)subprime_tls_4096_data, + sizeof(subprime_tls_4096_data) }; +static const SECItem subprime_tls_6144 = + { siBuffer, + (unsigned char *)subprime_tls_6144_data, + sizeof(subprime_tls_6144_data) }; +static const SECItem subprime_tls_8192 = + { siBuffer, + (unsigned char *)subprime_tls_8192_data, + sizeof(subprime_tls_8192_data) }; + +/* + * verify that dhPrime matches one of our known primes + */ +const SECItem * +sftk_VerifyDH_Prime(SECItem *dhPrime) +{ + /* use the length to decide which primes to check */ + switch (dhPrime->len) { + case 1536 / PR_BITS_PER_BYTE: + if (PORT_Memcmp(dhPrime->data, prime_ike_1536, + sizeof(prime_ike_1536)) == 0) { + return &subprime_ike_1536; + } + break; + case 2048 / PR_BITS_PER_BYTE: + if (PORT_Memcmp(dhPrime->data, prime_tls_2048, + sizeof(prime_tls_2048)) == 0) { + return &subprime_tls_2048; + } + if (PORT_Memcmp(dhPrime->data, prime_ike_2048, + sizeof(prime_ike_2048)) == 0) { + return &subprime_ike_2048; + } + break; + case 3072 / PR_BITS_PER_BYTE: + if (PORT_Memcmp(dhPrime->data, prime_tls_3072, + sizeof(prime_tls_3072)) == 0) { + return &subprime_tls_3072; + } + if (PORT_Memcmp(dhPrime->data, prime_ike_3072, + sizeof(prime_ike_3072)) == 0) { + return &subprime_ike_3072; + } + break; + case 4096 / PR_BITS_PER_BYTE: + if (PORT_Memcmp(dhPrime->data, prime_tls_4096, + sizeof(prime_tls_4096)) == 0) { + return &subprime_tls_4096; + } + if (PORT_Memcmp(dhPrime->data, prime_ike_4096, + sizeof(prime_ike_4096)) == 0) { + return &subprime_ike_4096; + } + break; + case 6144 / PR_BITS_PER_BYTE: + if (PORT_Memcmp(dhPrime->data, prime_tls_6144, + sizeof(prime_tls_6144)) == 0) { + return &subprime_tls_6144; + } + if (PORT_Memcmp(dhPrime->data, prime_ike_6144, + sizeof(prime_ike_6144)) == 0) { + return &subprime_ike_6144; + } + break; + case 8192 / PR_BITS_PER_BYTE: + if (PORT_Memcmp(dhPrime->data, prime_tls_8192, + sizeof(prime_tls_8192)) == 0) { + return &subprime_tls_8192; + } + if (PORT_Memcmp(dhPrime->data, prime_ike_8192, + sizeof(prime_ike_8192)) == 0) { + return &subprime_ike_8192; + } + break; + } + /* no match found, return an error */ + PORT_SetError(SEC_ERROR_INVALID_ARGS); + return NULL; +} + +/* Use the provided subPrime to see if dhPrime is a safe prime. We'll check + * primality of those values later. */ +SECStatus +sftk_IsSafePrime(const SECItem *dhPrime, const SECItem *dhSubPrime, PRBool *isSafe) +{ + int i; + unsigned char carry = 0; + int offset = 0, subPrimeLen = dhPrime->len; + *isSafe = PR_FALSE; + + /* Both dhPrime and dhSubPrime should be odd */ + if (((dhPrime->data[dhPrime->len - 1] & 0x1) != 1) && ((dhSubPrime->data[dhSubPrime->len - 1] & 0x1) != 1)) { + PORT_SetError(SEC_ERROR_INVALID_ARGS); + return SECFailure; + } + + /* subPrime is p-1/2, which means subPrime is 1 bit shorter than p. + * It's length in bytes is the same unless the high byte of p == 1 or 0. + */ + if (dhPrime->data[0] <= 1) { + subPrimeLen--; + offset++; + carry = (dhPrime->data[0]) << 7; + } + + /* if subprime len is not long enough it is not a strong prime */ + if (dhSubPrime->len != subPrimeLen) { + return SECSuccess; + } + + /* does the subprime match q == (p-1)/2 */ + for (i = 0; i < subPrimeLen; i++) { + if (dhSubPrime->data[i] != + (carry | ((dhPrime->data[i + offset] >> 1) & 0x7f))) { + return SECSuccess; + } + carry = ((dhPrime->data[i + offset] & 1) << 7) & 0x80; + } + /* subPrime for p claims to be q=(p-1)/2. So the caller thinks p + * is a strong prime, just need to check primality of p and q to verify */ + *isSafe = PR_TRUE; + return SECSuccess; +}
--- a/security/nss/lib/softoken/softkver.h +++ b/security/nss/lib/softoken/softkver.h @@ -12,16 +12,16 @@ /* * Softoken's major version, minor version, patch level, build number, * and whether this is a beta release. * * The format of the version string should be * "<major version>.<minor version>[.<patch level>[.<build number>]][ <ECC>][ <Beta>]" */ -#define SOFTOKEN_VERSION "3.55" SOFTOKEN_ECC_STRING +#define SOFTOKEN_VERSION "3.56" SOFTOKEN_ECC_STRING " Beta" #define SOFTOKEN_VMAJOR 3 -#define SOFTOKEN_VMINOR 55 +#define SOFTOKEN_VMINOR 56 #define SOFTOKEN_VPATCH 0 #define SOFTOKEN_VBUILD 0 -#define SOFTOKEN_BETA PR_FALSE +#define SOFTOKEN_BETA PR_TRUE #endif /* _SOFTKVER_H_ */
--- a/security/nss/lib/softoken/softoken.gyp +++ b/security/nss/lib/softoken/softoken.gyp @@ -51,16 +51,17 @@ 'kbkdf.c', 'lowkey.c', 'lowpbe.c', 'padbuf.c', 'pkcs11.c', 'pkcs11c.c', 'pkcs11u.c', 'sdb.c', + 'sftkdhverify.c', 'sftkdb.c', 'sftkhmac.c', 'sftkike.c', 'sftkmessage.c', 'sftkpars.c', 'sftkpwd.c', 'softkver.c', 'tlsprf.c'
--- a/security/nss/lib/util/nssutil.h +++ b/security/nss/lib/util/nssutil.h @@ -14,22 +14,22 @@ /* * NSS utilities's major version, minor version, patch level, build number, * and whether this is a beta release. * * The format of the version string should be * "<major version>.<minor version>[.<patch level>[.<build number>]][ <Beta>]" */ -#define NSSUTIL_VERSION "3.55" +#define NSSUTIL_VERSION "3.56 Beta" #define NSSUTIL_VMAJOR 3 -#define NSSUTIL_VMINOR 55 +#define NSSUTIL_VMINOR 56 #define NSSUTIL_VPATCH 0 #define NSSUTIL_VBUILD 0 -#define NSSUTIL_BETA PR_FALSE +#define NSSUTIL_BETA PR_TRUE SEC_BEGIN_PROTOS /* * Returns a const string of the UTIL library version. */ extern const char *NSSUTIL_GetVersion(void);
--- a/security/nss/manifest.mn +++ b/security/nss/manifest.mn @@ -7,22 +7,26 @@ DEPTH = . IMPORTS = nspr20/v4.8 \ $(NULL) RELEASE = nss DIRS = coreconf lib cmd cpputil gtests -lib: coreconf -cmd: lib -cpputil: lib -gtests: cmd cpputil +HAVE_ALL_TARGET := 1 -HAVE_ALL_TARGET := 1 +# +# make sure all is the first (default) target +# +all: prepare_build + $(MAKE) libs prepare_build: # no real way to encode these in any sensible way $(MAKE) -C coreconf/nsinstall program $(MAKE) export -all: prepare_build - $(MAKE) libs +lib: coreconf +cmd: lib +cpputil: lib +gtests: cmd cpputil +
--- a/security/nss/nss-tool/hw-support.c +++ b/security/nss/nss-tool/hw-support.c @@ -17,16 +17,17 @@ #include "nss.h" int main(int argc, char const *argv[]) { BL_Init(); printf("\n\n ========== NSS Hardware Report ==========\n"); #if defined(NSS_X86_OR_X64) printf("\tAES-NI \t%s supported\n", aesni_support() ? "" : "not"); printf("\tPCLMUL \t%s supported\n", clmul_support() ? "" : "not"); + printf("\tSHA \t%s supported\n", sha_support() ? "" : "not"); printf("\tAVX \t%s supported\n", avx_support() ? "" : "not"); printf("\tAVX2 \t%s supported\n", avx2_support() ? "" : "not"); printf("\tSSSE3 \t%s supported\n", ssse3_support() ? "" : "not"); printf("\tSSE4.1 \t%s supported\n", sse4_1_support() ? "" : "not"); printf("\tSSE4.2 \t%s supported\n", sse4_2_support() ? "" : "not"); #elif defined(__aarch64__) || defined(__arm__) printf("\tNEON \t%s supported\n", arm_neon_support() ? "" : "not"); printf("\tAES \t%s supported\n", arm_aes_support() ? "" : "not");