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openssl-1_1
openssl-add_rfc3526_rfc7919.patch
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File openssl-add_rfc3526_rfc7919.patch of Package openssl-1_1
diff --git a/crypto/bn/bn_dh.c b/crypto/bn/bn_dh.c index 58c44f0..1094716 100644 --- a/crypto/bn/bn_dh.c +++ b/crypto/bn/bn_dh.c @@ -13,6 +13,488 @@ #ifndef OPENSSL_NO_DH #include <openssl/dh.h> #include "crypto/bn_dh.h" + +# if BN_BITS2 == 64 +# define BN_DEF(lo, hi) (BN_ULONG)hi << 32 | lo +# else +# define BN_DEF(lo, hi) lo, hi +# endif + +/* DH parameters from RFC3526 */ + +/* + * "1536-bit MODP Group" from RFC3526, Section 2. + * + * The prime is: 2^1536 - 2^1472 - 1 + 2^64 * { [2^1406 pi] + 741804 } + * + * RFC3526 specifies a generator of 2. + * RFC2412 specifies a generator of 22. + */ +static const BN_ULONG modp_1536_p[] = { + BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0xCA237327, 0xF1746C08), + BN_DEF(0x4ABC9804, 0x670C354E), BN_DEF(0x7096966D, 0x9ED52907), + BN_DEF(0x208552BB, 0x1C62F356), BN_DEF(0xDCA3AD96, 0x83655D23), + BN_DEF(0xFD24CF5F, 0x69163FA8), BN_DEF(0x1C55D39A, 0x98DA4836), + BN_DEF(0xA163BF05, 0xC2007CB8), BN_DEF(0xECE45B3D, 0x49286651), + BN_DEF(0x7C4B1FE6, 0xAE9F2411), BN_DEF(0x5A899FA5, 0xEE386BFB), + BN_DEF(0xF406B7ED, 0x0BFF5CB6), BN_DEF(0xA637ED6B, 0xF44C42E9), + BN_DEF(0x625E7EC6, 0xE485B576), BN_DEF(0x6D51C245, 0x4FE1356D), + BN_DEF(0xF25F1437, 0x302B0A6D), BN_DEF(0xCD3A431B, 0xEF9519B3), + BN_DEF(0x8E3404DD, 0x514A0879), BN_DEF(0x3B139B22, 0x020BBEA6), + BN_DEF(0x8A67CC74, 0x29024E08), BN_DEF(0x80DC1CD1, 0xC4C6628B), + BN_DEF(0x2168C234, 0xC90FDAA2), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF) +}; +/* q = (p - 1) / 2 */ +static const BN_ULONG modp_1536_q[] = { + BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x6511B993, 0x78BA3604), + BN_DEF(0x255E4C02, 0xB3861AA7), BN_DEF(0xB84B4B36, 0xCF6A9483), + BN_DEF(0x1042A95D, 0x0E3179AB), BN_DEF(0xEE51D6CB, 0xC1B2AE91), + BN_DEF(0x7E9267AF, 0x348B1FD4), BN_DEF(0x0E2AE9CD, 0xCC6D241B), + BN_DEF(0x50B1DF82, 0xE1003E5C), BN_DEF(0xF6722D9E, 0x24943328), + BN_DEF(0xBE258FF3, 0xD74F9208), BN_DEF(0xAD44CFD2, 0xF71C35FD), + BN_DEF(0x7A035BF6, 0x85FFAE5B), BN_DEF(0xD31BF6B5, 0x7A262174), + BN_DEF(0x312F3F63, 0xF242DABB), BN_DEF(0xB6A8E122, 0xA7F09AB6), + BN_DEF(0xF92F8A1B, 0x98158536), BN_DEF(0xE69D218D, 0xF7CA8CD9), + BN_DEF(0xC71A026E, 0x28A5043C), BN_DEF(0x1D89CD91, 0x0105DF53), + BN_DEF(0x4533E63A, 0x94812704), BN_DEF(0xC06E0E68, 0x62633145), + BN_DEF(0x10B4611A, 0xE487ED51), BN_DEF(0xFFFFFFFF, 0x7FFFFFFF) +}; + +/*- + * "2048-bit MODP Group" from RFC3526, Section 3. + * + * The prime is: 2^2048 - 2^1984 - 1 + 2^64 * { [2^1918 pi] + 124476 } + * + * RFC3526 specifies a generator of 2. + */ +static const BN_ULONG modp_2048_p[] = { + BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x8AACAA68, 0x15728E5A), + BN_DEF(0x98FA0510, 0x15D22618), BN_DEF(0xEA956AE5, 0x3995497C), + BN_DEF(0x95581718, 0xDE2BCBF6), BN_DEF(0x6F4C52C9, 0xB5C55DF0), + BN_DEF(0xEC07A28F, 0x9B2783A2), BN_DEF(0x180E8603, 0xE39E772C), + BN_DEF(0x2E36CE3B, 0x32905E46), BN_DEF(0xCA18217C, 0xF1746C08), + BN_DEF(0x4ABC9804, 0x670C354E), BN_DEF(0x7096966D, 0x9ED52907), + BN_DEF(0x208552BB, 0x1C62F356), BN_DEF(0xDCA3AD96, 0x83655D23), + BN_DEF(0xFD24CF5F, 0x69163FA8), BN_DEF(0x1C55D39A, 0x98DA4836), + BN_DEF(0xA163BF05, 0xC2007CB8), BN_DEF(0xECE45B3D, 0x49286651), + BN_DEF(0x7C4B1FE6, 0xAE9F2411), BN_DEF(0x5A899FA5, 0xEE386BFB), + BN_DEF(0xF406B7ED, 0x0BFF5CB6), BN_DEF(0xA637ED6B, 0xF44C42E9), + BN_DEF(0x625E7EC6, 0xE485B576), BN_DEF(0x6D51C245, 0x4FE1356D), + BN_DEF(0xF25F1437, 0x302B0A6D), BN_DEF(0xCD3A431B, 0xEF9519B3), + BN_DEF(0x8E3404DD, 0x514A0879), BN_DEF(0x3B139B22, 0x020BBEA6), + BN_DEF(0x8A67CC74, 0x29024E08), BN_DEF(0x80DC1CD1, 0xC4C6628B), + BN_DEF(0x2168C234, 0xC90FDAA2), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF) +}; +/* q = (p - 1) / 2 */ +static const BN_ULONG modp_2048_q[] = { + BN_DEF(0xFFFFFFFF, 0x7FFFFFFF), BN_DEF(0x45565534, 0x0AB9472D), + BN_DEF(0x4C7D0288, 0x8AE9130C), BN_DEF(0x754AB572, 0x1CCAA4BE), + BN_DEF(0x4AAC0B8C, 0xEF15E5FB), BN_DEF(0x37A62964, 0xDAE2AEF8), + BN_DEF(0x7603D147, 0xCD93C1D1), BN_DEF(0x0C074301, 0xF1CF3B96), + BN_DEF(0x171B671D, 0x19482F23), BN_DEF(0x650C10BE, 0x78BA3604), + BN_DEF(0x255E4C02, 0xB3861AA7), BN_DEF(0xB84B4B36, 0xCF6A9483), + BN_DEF(0x1042A95D, 0x0E3179AB), BN_DEF(0xEE51D6CB, 0xC1B2AE91), + BN_DEF(0x7E9267AF, 0x348B1FD4), BN_DEF(0x0E2AE9CD, 0xCC6D241B), + BN_DEF(0x50B1DF82, 0xE1003E5C), BN_DEF(0xF6722D9E, 0x24943328), + BN_DEF(0xBE258FF3, 0xD74F9208), BN_DEF(0xAD44CFD2, 0xF71C35FD), + BN_DEF(0x7A035BF6, 0x85FFAE5B), BN_DEF(0xD31BF6B5, 0x7A262174), + BN_DEF(0x312F3F63, 0xF242DABB), BN_DEF(0xB6A8E122, 0xA7F09AB6), + BN_DEF(0xF92F8A1B, 0x98158536), BN_DEF(0xE69D218D, 0xF7CA8CD9), + BN_DEF(0xC71A026E, 0x28A5043C), BN_DEF(0x1D89CD91, 0x0105DF53), + BN_DEF(0x4533E63A, 0x94812704), BN_DEF(0xC06E0E68, 0x62633145), + BN_DEF(0x10B4611A, 0xE487ED51), BN_DEF(0xFFFFFFFF, 0x7FFFFFFF), +}; + +/*- + * "3072-bit MODP Group" from RFC3526, Section 4. + * + * The prime is: 2^3072 - 2^3008 - 1 + 2^64 * { [2^2942 pi] + 1690314 } + * + * RFC3526 specifies a generator of 2. + */ +static const BN_ULONG modp_3072_p[] = { + BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0xA93AD2CA, 0x4B82D120), + BN_DEF(0xE0FD108E, 0x43DB5BFC), BN_DEF(0x74E5AB31, 0x08E24FA0), + BN_DEF(0xBAD946E2, 0x770988C0), BN_DEF(0x7A615D6C, 0xBBE11757), + BN_DEF(0x177B200C, 0x521F2B18), BN_DEF(0x3EC86A64, 0xD8760273), + BN_DEF(0xD98A0864, 0xF12FFA06), BN_DEF(0x1AD2EE6B, 0xCEE3D226), + BN_DEF(0x4A25619D, 0x1E8C94E0), BN_DEF(0xDB0933D7, 0xABF5AE8C), + BN_DEF(0xA6E1E4C7, 0xB3970F85), BN_DEF(0x5D060C7D, 0x8AEA7157), + BN_DEF(0x58DBEF0A, 0xECFB8504), BN_DEF(0xDF1CBA64, 0xA85521AB), + BN_DEF(0x04507A33, 0xAD33170D), BN_DEF(0x8AAAC42D, 0x15728E5A), + BN_DEF(0x98FA0510, 0x15D22618), BN_DEF(0xEA956AE5, 0x3995497C), + BN_DEF(0x95581718, 0xDE2BCBF6), BN_DEF(0x6F4C52C9, 0xB5C55DF0), + BN_DEF(0xEC07A28F, 0x9B2783A2), BN_DEF(0x180E8603, 0xE39E772C), + BN_DEF(0x2E36CE3B, 0x32905E46), BN_DEF(0xCA18217C, 0xF1746C08), + BN_DEF(0x4ABC9804, 0x670C354E), BN_DEF(0x7096966D, 0x9ED52907), + BN_DEF(0x208552BB, 0x1C62F356), BN_DEF(0xDCA3AD96, 0x83655D23), + BN_DEF(0xFD24CF5F, 0x69163FA8), BN_DEF(0x1C55D39A, 0x98DA4836), + BN_DEF(0xA163BF05, 0xC2007CB8), BN_DEF(0xECE45B3D, 0x49286651), + BN_DEF(0x7C4B1FE6, 0xAE9F2411), BN_DEF(0x5A899FA5, 0xEE386BFB), + BN_DEF(0xF406B7ED, 0x0BFF5CB6), BN_DEF(0xA637ED6B, 0xF44C42E9), + BN_DEF(0x625E7EC6, 0xE485B576), BN_DEF(0x6D51C245, 0x4FE1356D), + BN_DEF(0xF25F1437, 0x302B0A6D), BN_DEF(0xCD3A431B, 0xEF9519B3), + BN_DEF(0x8E3404DD, 0x514A0879), BN_DEF(0x3B139B22, 0x020BBEA6), + BN_DEF(0x8A67CC74, 0x29024E08), BN_DEF(0x80DC1CD1, 0xC4C6628B), + BN_DEF(0x2168C234, 0xC90FDAA2), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF) +}; +/* q = (p - 1) / 2 */ +static const BN_ULONG modp_3072_q[] = { + BN_DEF(0xFFFFFFFF, 0x7FFFFFFF), BN_DEF(0x549D6965, 0x25C16890), + BN_DEF(0x707E8847, 0xA1EDADFE), BN_DEF(0x3A72D598, 0x047127D0), + BN_DEF(0x5D6CA371, 0x3B84C460), BN_DEF(0xBD30AEB6, 0x5DF08BAB), + BN_DEF(0x0BBD9006, 0x290F958C), BN_DEF(0x9F643532, 0x6C3B0139), + BN_DEF(0x6CC50432, 0xF897FD03), BN_DEF(0x0D697735, 0xE771E913), + BN_DEF(0x2512B0CE, 0x8F464A70), BN_DEF(0x6D8499EB, 0xD5FAD746), + BN_DEF(0xD370F263, 0xD9CB87C2), BN_DEF(0xAE83063E, 0x457538AB), + BN_DEF(0x2C6DF785, 0x767DC282), BN_DEF(0xEF8E5D32, 0xD42A90D5), + BN_DEF(0x82283D19, 0xD6998B86), BN_DEF(0x45556216, 0x0AB9472D), + BN_DEF(0x4C7D0288, 0x8AE9130C), BN_DEF(0x754AB572, 0x1CCAA4BE), + BN_DEF(0x4AAC0B8C, 0xEF15E5FB), BN_DEF(0x37A62964, 0xDAE2AEF8), + BN_DEF(0x7603D147, 0xCD93C1D1), BN_DEF(0x0C074301, 0xF1CF3B96), + BN_DEF(0x171B671D, 0x19482F23), BN_DEF(0x650C10BE, 0x78BA3604), + BN_DEF(0x255E4C02, 0xB3861AA7), BN_DEF(0xB84B4B36, 0xCF6A9483), + BN_DEF(0x1042A95D, 0x0E3179AB), BN_DEF(0xEE51D6CB, 0xC1B2AE91), + BN_DEF(0x7E9267AF, 0x348B1FD4), BN_DEF(0x0E2AE9CD, 0xCC6D241B), + BN_DEF(0x50B1DF82, 0xE1003E5C), BN_DEF(0xF6722D9E, 0x24943328), + BN_DEF(0xBE258FF3, 0xD74F9208), BN_DEF(0xAD44CFD2, 0xF71C35FD), + BN_DEF(0x7A035BF6, 0x85FFAE5B), BN_DEF(0xD31BF6B5, 0x7A262174), + BN_DEF(0x312F3F63, 0xF242DABB), BN_DEF(0xB6A8E122, 0xA7F09AB6), + BN_DEF(0xF92F8A1B, 0x98158536), BN_DEF(0xE69D218D, 0xF7CA8CD9), + BN_DEF(0xC71A026E, 0x28A5043C), BN_DEF(0x1D89CD91, 0x0105DF53), + BN_DEF(0x4533E63A, 0x94812704), BN_DEF(0xC06E0E68, 0x62633145), + BN_DEF(0x10B4611A, 0xE487ED51), BN_DEF(0xFFFFFFFF, 0x7FFFFFFF), +}; + +/*- + * "4096-bit MODP Group" from RFC3526, Section 5. + * + * The prime is: 2^4096 - 2^4032 - 1 + 2^64 * { [2^3966 pi] + 240904 } + * + * RFC3526 specifies a generator of 2. + */ +static const BN_ULONG modp_4096_p[] = { + BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x34063199, 0x4DF435C9), + BN_DEF(0x90A6C08F, 0x86FFB7DC), BN_DEF(0x8D8FDDC1, 0x93B4EA98), + BN_DEF(0xD5B05AA9, 0xD0069127), BN_DEF(0x2170481C, 0xB81BDD76), + BN_DEF(0xCEE2D7AF, 0x1F612970), BN_DEF(0x515BE7ED, 0x233BA186), + BN_DEF(0xA090C3A2, 0x99B2964F), BN_DEF(0x4E6BC05D, 0x287C5947), + BN_DEF(0x1FBECAA6, 0x2E8EFC14), BN_DEF(0x04DE8EF9, 0xDBBBC2DB), + BN_DEF(0x2AD44CE8, 0x2583E9CA), BN_DEF(0xB6150BDA, 0x1A946834), + BN_DEF(0x6AF4E23C, 0x99C32718), BN_DEF(0xBDBA5B26, 0x88719A10), + BN_DEF(0xA787E6D7, 0x1A723C12), BN_DEF(0xA9210801, 0x4B82D120), + BN_DEF(0xE0FD108E, 0x43DB5BFC), BN_DEF(0x74E5AB31, 0x08E24FA0), + BN_DEF(0xBAD946E2, 0x770988C0), BN_DEF(0x7A615D6C, 0xBBE11757), + BN_DEF(0x177B200C, 0x521F2B18), BN_DEF(0x3EC86A64, 0xD8760273), + BN_DEF(0xD98A0864, 0xF12FFA06), BN_DEF(0x1AD2EE6B, 0xCEE3D226), + BN_DEF(0x4A25619D, 0x1E8C94E0), BN_DEF(0xDB0933D7, 0xABF5AE8C), + BN_DEF(0xA6E1E4C7, 0xB3970F85), BN_DEF(0x5D060C7D, 0x8AEA7157), + BN_DEF(0x58DBEF0A, 0xECFB8504), BN_DEF(0xDF1CBA64, 0xA85521AB), + BN_DEF(0x04507A33, 0xAD33170D), BN_DEF(0x8AAAC42D, 0x15728E5A), + BN_DEF(0x98FA0510, 0x15D22618), BN_DEF(0xEA956AE5, 0x3995497C), + BN_DEF(0x95581718, 0xDE2BCBF6), BN_DEF(0x6F4C52C9, 0xB5C55DF0), + BN_DEF(0xEC07A28F, 0x9B2783A2), BN_DEF(0x180E8603, 0xE39E772C), + BN_DEF(0x2E36CE3B, 0x32905E46), BN_DEF(0xCA18217C, 0xF1746C08), + BN_DEF(0x4ABC9804, 0x670C354E), BN_DEF(0x7096966D, 0x9ED52907), + BN_DEF(0x208552BB, 0x1C62F356), BN_DEF(0xDCA3AD96, 0x83655D23), + BN_DEF(0xFD24CF5F, 0x69163FA8), BN_DEF(0x1C55D39A, 0x98DA4836), + BN_DEF(0xA163BF05, 0xC2007CB8), BN_DEF(0xECE45B3D, 0x49286651), + BN_DEF(0x7C4B1FE6, 0xAE9F2411), BN_DEF(0x5A899FA5, 0xEE386BFB), + BN_DEF(0xF406B7ED, 0x0BFF5CB6), BN_DEF(0xA637ED6B, 0xF44C42E9), + BN_DEF(0x625E7EC6, 0xE485B576), BN_DEF(0x6D51C245, 0x4FE1356D), + BN_DEF(0xF25F1437, 0x302B0A6D), BN_DEF(0xCD3A431B, 0xEF9519B3), + BN_DEF(0x8E3404DD, 0x514A0879), BN_DEF(0x3B139B22, 0x020BBEA6), + BN_DEF(0x8A67CC74, 0x29024E08), BN_DEF(0x80DC1CD1, 0xC4C6628B), + BN_DEF(0x2168C234, 0xC90FDAA2), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF) +}; +/* q = (p - 1) / 2 */ +static const BN_ULONG modp_4096_q[] = { + BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x9A0318CC, 0xA6FA1AE4), + BN_DEF(0x48536047, 0xC37FDBEE), BN_DEF(0x46C7EEE0, 0xC9DA754C), + BN_DEF(0xEAD82D54, 0x68034893), BN_DEF(0x10B8240E, 0xDC0DEEBB), + BN_DEF(0x67716BD7, 0x8FB094B8), BN_DEF(0x28ADF3F6, 0x119DD0C3), + BN_DEF(0xD04861D1, 0xCCD94B27), BN_DEF(0xA735E02E, 0x143E2CA3), + BN_DEF(0x0FDF6553, 0x97477E0A), BN_DEF(0x826F477C, 0x6DDDE16D), + BN_DEF(0x156A2674, 0x12C1F4E5), BN_DEF(0x5B0A85ED, 0x0D4A341A), + BN_DEF(0x357A711E, 0x4CE1938C), BN_DEF(0x5EDD2D93, 0xC438CD08), + BN_DEF(0x53C3F36B, 0x8D391E09), BN_DEF(0x54908400, 0x25C16890), + BN_DEF(0x707E8847, 0xA1EDADFE), BN_DEF(0x3A72D598, 0x047127D0), + BN_DEF(0x5D6CA371, 0x3B84C460), BN_DEF(0xBD30AEB6, 0x5DF08BAB), + BN_DEF(0x0BBD9006, 0x290F958C), BN_DEF(0x9F643532, 0x6C3B0139), + BN_DEF(0x6CC50432, 0xF897FD03), BN_DEF(0x0D697735, 0xE771E913), + BN_DEF(0x2512B0CE, 0x8F464A70), BN_DEF(0x6D8499EB, 0xD5FAD746), + BN_DEF(0xD370F263, 0xD9CB87C2), BN_DEF(0xAE83063E, 0x457538AB), + BN_DEF(0x2C6DF785, 0x767DC282), BN_DEF(0xEF8E5D32, 0xD42A90D5), + BN_DEF(0x82283D19, 0xD6998B86), BN_DEF(0x45556216, 0x0AB9472D), + BN_DEF(0x4C7D0288, 0x8AE9130C), BN_DEF(0x754AB572, 0x1CCAA4BE), + BN_DEF(0x4AAC0B8C, 0xEF15E5FB), BN_DEF(0x37A62964, 0xDAE2AEF8), + BN_DEF(0x7603D147, 0xCD93C1D1), BN_DEF(0x0C074301, 0xF1CF3B96), + BN_DEF(0x171B671D, 0x19482F23), BN_DEF(0x650C10BE, 0x78BA3604), + BN_DEF(0x255E4C02, 0xB3861AA7), BN_DEF(0xB84B4B36, 0xCF6A9483), + BN_DEF(0x1042A95D, 0x0E3179AB), BN_DEF(0xEE51D6CB, 0xC1B2AE91), + BN_DEF(0x7E9267AF, 0x348B1FD4), BN_DEF(0x0E2AE9CD, 0xCC6D241B), + BN_DEF(0x50B1DF82, 0xE1003E5C), BN_DEF(0xF6722D9E, 0x24943328), + BN_DEF(0xBE258FF3, 0xD74F9208), BN_DEF(0xAD44CFD2, 0xF71C35FD), + BN_DEF(0x7A035BF6, 0x85FFAE5B), BN_DEF(0xD31BF6B5, 0x7A262174), + BN_DEF(0x312F3F63, 0xF242DABB), BN_DEF(0xB6A8E122, 0xA7F09AB6), + BN_DEF(0xF92F8A1B, 0x98158536), BN_DEF(0xE69D218D, 0xF7CA8CD9), + BN_DEF(0xC71A026E, 0x28A5043C), BN_DEF(0x1D89CD91, 0x0105DF53), + BN_DEF(0x4533E63A, 0x94812704), BN_DEF(0xC06E0E68, 0x62633145), + BN_DEF(0x10B4611A, 0xE487ED51), BN_DEF(0xFFFFFFFF, 0x7FFFFFFF), +}; + +/*- + * "6144-bit MODP Group" from RFC3526, Section 6. + * + * The prime is: 2^6144 - 2^6080 - 1 + 2^64 * { [2^6014 pi] + 929484 } + * + * RFC3526 specifies a generator of 2. + */ +static const BN_ULONG modp_6144_p[] = { + BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x6DCC4024, 0xE694F91E), + BN_DEF(0x0B7474D6, 0x12BF2D5B), BN_DEF(0x3F4860EE, 0x043E8F66), + BN_DEF(0x6E3C0468, 0x387FE8D7), BN_DEF(0x2EF29632, 0xDA56C9EC), + BN_DEF(0xA313D55C, 0xEB19CCB1), BN_DEF(0x8A1FBFF0, 0xF550AA3D), + BN_DEF(0xB7C5DA76, 0x06A1D58B), BN_DEF(0xF29BE328, 0xA79715EE), + BN_DEF(0x0F8037E0, 0x14CC5ED2), BN_DEF(0xBF48E1D8, 0xCC8F6D7E), + BN_DEF(0x2B4154AA, 0x4BD407B2), BN_DEF(0xFF585AC5, 0x0F1D45B7), + BN_DEF(0x36CC88BE, 0x23A97A7E), BN_DEF(0xBEC7E8F3, 0x59E7C97F), + BN_DEF(0x900B1C9E, 0xB5A84031), BN_DEF(0x46980C82, 0xD55E702F), + BN_DEF(0x6E74FEF6, 0xF482D7CE), BN_DEF(0xD1721D03, 0xF032EA15), + BN_DEF(0xC64B92EC, 0x5983CA01), BN_DEF(0x378CD2BF, 0x6FB8F401), + BN_DEF(0x2BD7AF42, 0x33205151), BN_DEF(0xE6CC254B, 0xDB7F1447), + BN_DEF(0xCED4BB1B, 0x44CE6CBA), BN_DEF(0xCF9B14ED, 0xDA3EDBEB), + BN_DEF(0x865A8918, 0x179727B0), BN_DEF(0x9027D831, 0xB06A53ED), + BN_DEF(0x413001AE, 0xE5DB382F), BN_DEF(0xAD9E530E, 0xF8FF9406), + BN_DEF(0x3DBA37BD, 0xC9751E76), BN_DEF(0x602646DE, 0xC1D4DCB2), + BN_DEF(0xD27C7026, 0x36C3FAB4), BN_DEF(0x34028492, 0x4DF435C9), + BN_DEF(0x90A6C08F, 0x86FFB7DC), BN_DEF(0x8D8FDDC1, 0x93B4EA98), + BN_DEF(0xD5B05AA9, 0xD0069127), BN_DEF(0x2170481C, 0xB81BDD76), + BN_DEF(0xCEE2D7AF, 0x1F612970), BN_DEF(0x515BE7ED, 0x233BA186), + BN_DEF(0xA090C3A2, 0x99B2964F), BN_DEF(0x4E6BC05D, 0x287C5947), + BN_DEF(0x1FBECAA6, 0x2E8EFC14), BN_DEF(0x04DE8EF9, 0xDBBBC2DB), + BN_DEF(0x2AD44CE8, 0x2583E9CA), BN_DEF(0xB6150BDA, 0x1A946834), + BN_DEF(0x6AF4E23C, 0x99C32718), BN_DEF(0xBDBA5B26, 0x88719A10), + BN_DEF(0xA787E6D7, 0x1A723C12), BN_DEF(0xA9210801, 0x4B82D120), + BN_DEF(0xE0FD108E, 0x43DB5BFC), BN_DEF(0x74E5AB31, 0x08E24FA0), + BN_DEF(0xBAD946E2, 0x770988C0), BN_DEF(0x7A615D6C, 0xBBE11757), + BN_DEF(0x177B200C, 0x521F2B18), BN_DEF(0x3EC86A64, 0xD8760273), + BN_DEF(0xD98A0864, 0xF12FFA06), BN_DEF(0x1AD2EE6B, 0xCEE3D226), + BN_DEF(0x4A25619D, 0x1E8C94E0), BN_DEF(0xDB0933D7, 0xABF5AE8C), + BN_DEF(0xA6E1E4C7, 0xB3970F85), BN_DEF(0x5D060C7D, 0x8AEA7157), + BN_DEF(0x58DBEF0A, 0xECFB8504), BN_DEF(0xDF1CBA64, 0xA85521AB), + BN_DEF(0x04507A33, 0xAD33170D), BN_DEF(0x8AAAC42D, 0x15728E5A), + BN_DEF(0x98FA0510, 0x15D22618), BN_DEF(0xEA956AE5, 0x3995497C), + BN_DEF(0x95581718, 0xDE2BCBF6), BN_DEF(0x6F4C52C9, 0xB5C55DF0), + BN_DEF(0xEC07A28F, 0x9B2783A2), BN_DEF(0x180E8603, 0xE39E772C), + BN_DEF(0x2E36CE3B, 0x32905E46), BN_DEF(0xCA18217C, 0xF1746C08), + BN_DEF(0x4ABC9804, 0x670C354E), BN_DEF(0x7096966D, 0x9ED52907), + BN_DEF(0x208552BB, 0x1C62F356), BN_DEF(0xDCA3AD96, 0x83655D23), + BN_DEF(0xFD24CF5F, 0x69163FA8), BN_DEF(0x1C55D39A, 0x98DA4836), + BN_DEF(0xA163BF05, 0xC2007CB8), BN_DEF(0xECE45B3D, 0x49286651), + BN_DEF(0x7C4B1FE6, 0xAE9F2411), BN_DEF(0x5A899FA5, 0xEE386BFB), + BN_DEF(0xF406B7ED, 0x0BFF5CB6), BN_DEF(0xA637ED6B, 0xF44C42E9), + BN_DEF(0x625E7EC6, 0xE485B576), BN_DEF(0x6D51C245, 0x4FE1356D), + BN_DEF(0xF25F1437, 0x302B0A6D), BN_DEF(0xCD3A431B, 0xEF9519B3), + BN_DEF(0x8E3404DD, 0x514A0879), BN_DEF(0x3B139B22, 0x020BBEA6), + BN_DEF(0x8A67CC74, 0x29024E08), BN_DEF(0x80DC1CD1, 0xC4C6628B), + BN_DEF(0x2168C234, 0xC90FDAA2), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF) +}; +/* q = (p - 1) / 2 */ +static const BN_ULONG modp_6144_q[] = { + BN_DEF(0xFFFFFFFF, 0x7FFFFFFF), BN_DEF(0x36E62012, 0x734A7C8F), + BN_DEF(0x85BA3A6B, 0x095F96AD), BN_DEF(0x1FA43077, 0x021F47B3), + BN_DEF(0xB71E0234, 0x1C3FF46B), BN_DEF(0x17794B19, 0x6D2B64F6), + BN_DEF(0xD189EAAE, 0x758CE658), BN_DEF(0xC50FDFF8, 0x7AA8551E), + BN_DEF(0xDBE2ED3B, 0x0350EAC5), BN_DEF(0x794DF194, 0x53CB8AF7), + BN_DEF(0x07C01BF0, 0x0A662F69), BN_DEF(0x5FA470EC, 0x6647B6BF), + BN_DEF(0x15A0AA55, 0xA5EA03D9), BN_DEF(0xFFAC2D62, 0x078EA2DB), + BN_DEF(0x1B66445F, 0x91D4BD3F), BN_DEF(0xDF63F479, 0x2CF3E4BF), + BN_DEF(0xC8058E4F, 0x5AD42018), BN_DEF(0xA34C0641, 0x6AAF3817), + BN_DEF(0x373A7F7B, 0xFA416BE7), BN_DEF(0xE8B90E81, 0x7819750A), + BN_DEF(0xE325C976, 0xACC1E500), BN_DEF(0x9BC6695F, 0x37DC7A00), + BN_DEF(0x95EBD7A1, 0x999028A8), BN_DEF(0xF36612A5, 0xEDBF8A23), + BN_DEF(0x676A5D8D, 0xA267365D), BN_DEF(0xE7CD8A76, 0x6D1F6DF5), + BN_DEF(0x432D448C, 0x8BCB93D8), BN_DEF(0xC813EC18, 0x583529F6), + BN_DEF(0xA09800D7, 0x72ED9C17), BN_DEF(0x56CF2987, 0xFC7FCA03), + BN_DEF(0x1EDD1BDE, 0x64BA8F3B), BN_DEF(0x3013236F, 0x60EA6E59), + BN_DEF(0x693E3813, 0x1B61FD5A), BN_DEF(0x9A014249, 0xA6FA1AE4), + BN_DEF(0x48536047, 0xC37FDBEE), BN_DEF(0x46C7EEE0, 0xC9DA754C), + BN_DEF(0xEAD82D54, 0x68034893), BN_DEF(0x10B8240E, 0xDC0DEEBB), + BN_DEF(0x67716BD7, 0x8FB094B8), BN_DEF(0x28ADF3F6, 0x119DD0C3), + BN_DEF(0xD04861D1, 0xCCD94B27), BN_DEF(0xA735E02E, 0x143E2CA3), + BN_DEF(0x0FDF6553, 0x97477E0A), BN_DEF(0x826F477C, 0x6DDDE16D), + BN_DEF(0x156A2674, 0x12C1F4E5), BN_DEF(0x5B0A85ED, 0x0D4A341A), + BN_DEF(0x357A711E, 0x4CE1938C), BN_DEF(0x5EDD2D93, 0xC438CD08), + BN_DEF(0x53C3F36B, 0x8D391E09), BN_DEF(0x54908400, 0x25C16890), + BN_DEF(0x707E8847, 0xA1EDADFE), BN_DEF(0x3A72D598, 0x047127D0), + BN_DEF(0x5D6CA371, 0x3B84C460), BN_DEF(0xBD30AEB6, 0x5DF08BAB), + BN_DEF(0x0BBD9006, 0x290F958C), BN_DEF(0x9F643532, 0x6C3B0139), + BN_DEF(0x6CC50432, 0xF897FD03), BN_DEF(0x0D697735, 0xE771E913), + BN_DEF(0x2512B0CE, 0x8F464A70), BN_DEF(0x6D8499EB, 0xD5FAD746), + BN_DEF(0xD370F263, 0xD9CB87C2), BN_DEF(0xAE83063E, 0x457538AB), + BN_DEF(0x2C6DF785, 0x767DC282), BN_DEF(0xEF8E5D32, 0xD42A90D5), + BN_DEF(0x82283D19, 0xD6998B86), BN_DEF(0x45556216, 0x0AB9472D), + BN_DEF(0x4C7D0288, 0x8AE9130C), BN_DEF(0x754AB572, 0x1CCAA4BE), + BN_DEF(0x4AAC0B8C, 0xEF15E5FB), BN_DEF(0x37A62964, 0xDAE2AEF8), + BN_DEF(0x7603D147, 0xCD93C1D1), BN_DEF(0x0C074301, 0xF1CF3B96), + BN_DEF(0x171B671D, 0x19482F23), BN_DEF(0x650C10BE, 0x78BA3604), + BN_DEF(0x255E4C02, 0xB3861AA7), BN_DEF(0xB84B4B36, 0xCF6A9483), + BN_DEF(0x1042A95D, 0x0E3179AB), BN_DEF(0xEE51D6CB, 0xC1B2AE91), + BN_DEF(0x7E9267AF, 0x348B1FD4), BN_DEF(0x0E2AE9CD, 0xCC6D241B), + BN_DEF(0x50B1DF82, 0xE1003E5C), BN_DEF(0xF6722D9E, 0x24943328), + BN_DEF(0xBE258FF3, 0xD74F9208), BN_DEF(0xAD44CFD2, 0xF71C35FD), + BN_DEF(0x7A035BF6, 0x85FFAE5B), BN_DEF(0xD31BF6B5, 0x7A262174), + BN_DEF(0x312F3F63, 0xF242DABB), BN_DEF(0xB6A8E122, 0xA7F09AB6), + BN_DEF(0xF92F8A1B, 0x98158536), BN_DEF(0xE69D218D, 0xF7CA8CD9), + BN_DEF(0xC71A026E, 0x28A5043C), BN_DEF(0x1D89CD91, 0x0105DF53), + BN_DEF(0x4533E63A, 0x94812704), BN_DEF(0xC06E0E68, 0x62633145), + BN_DEF(0x10B4611A, 0xE487ED51), BN_DEF(0xFFFFFFFF, 0x7FFFFFFF), +}; + +/* + * "8192-bit MODP Group" from RFC3526, Section 7. + * + * The prime is: 2^8192 - 2^8128 - 1 + 2^64 * { [2^8062 pi] + 4743158 } + * + * RFC3526 specifies a generator of 2. + */ +static const BN_ULONG modp_8192_p[] = { + BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x98EDD3DF, 0x60C980DD), + BN_DEF(0x80B96E71, 0xC81F56E8), BN_DEF(0x765694DF, 0x9E3050E2), + BN_DEF(0x5677E9AA, 0x9558E447), BN_DEF(0xFC026E47, 0xC9190DA6), + BN_DEF(0xD5EE382B, 0x889A002E), BN_DEF(0x481C6CD7, 0x4009438B), + BN_DEF(0xEB879F92, 0x359046F4), BN_DEF(0x1ECFA268, 0xFAF36BC3), + BN_DEF(0x7EE74D73, 0xB1D510BD), BN_DEF(0x5DED7EA1, 0xF9AB4819), + BN_DEF(0x0846851D, 0x64F31CC5), BN_DEF(0xA0255DC1, 0x4597E899), + BN_DEF(0x74AB6A36, 0xDF310EE0), BN_DEF(0x3F44F82D, 0x6D2A13F8), + BN_DEF(0xB3A278A6, 0x062B3CF5), BN_DEF(0xED5BDD3A, 0x79683303), + BN_DEF(0xA2C087E8, 0xFA9D4B7F), BN_DEF(0x2F8385DD, 0x4BCBC886), + BN_DEF(0x6CEA306B, 0x3473FC64), BN_DEF(0x1A23F0C7, 0x13EB57A8), + BN_DEF(0xA4037C07, 0x22222E04), BN_DEF(0xFC848AD9, 0xE3FDB8BE), + BN_DEF(0xE39D652D, 0x238F16CB), BN_DEF(0x2BF1C978, 0x3423B474), + BN_DEF(0x5AE4F568, 0x3AAB639C), BN_DEF(0x6BA42466, 0x2576F693), + BN_DEF(0x8AFC47ED, 0x741FA7BF), BN_DEF(0x8D9DD300, 0x3BC832B6), + BN_DEF(0x73B931BA, 0xD8BEC4D0), BN_DEF(0xA932DF8C, 0x38777CB6), + BN_DEF(0x12FEE5E4, 0x74A3926F), BN_DEF(0x6DBE1159, 0xE694F91E), + BN_DEF(0x0B7474D6, 0x12BF2D5B), BN_DEF(0x3F4860EE, 0x043E8F66), + BN_DEF(0x6E3C0468, 0x387FE8D7), BN_DEF(0x2EF29632, 0xDA56C9EC), + BN_DEF(0xA313D55C, 0xEB19CCB1), BN_DEF(0x8A1FBFF0, 0xF550AA3D), + BN_DEF(0xB7C5DA76, 0x06A1D58B), BN_DEF(0xF29BE328, 0xA79715EE), + BN_DEF(0x0F8037E0, 0x14CC5ED2), BN_DEF(0xBF48E1D8, 0xCC8F6D7E), + BN_DEF(0x2B4154AA, 0x4BD407B2), BN_DEF(0xFF585AC5, 0x0F1D45B7), + BN_DEF(0x36CC88BE, 0x23A97A7E), BN_DEF(0xBEC7E8F3, 0x59E7C97F), + BN_DEF(0x900B1C9E, 0xB5A84031), BN_DEF(0x46980C82, 0xD55E702F), + BN_DEF(0x6E74FEF6, 0xF482D7CE), BN_DEF(0xD1721D03, 0xF032EA15), + BN_DEF(0xC64B92EC, 0x5983CA01), BN_DEF(0x378CD2BF, 0x6FB8F401), + BN_DEF(0x2BD7AF42, 0x33205151), BN_DEF(0xE6CC254B, 0xDB7F1447), + BN_DEF(0xCED4BB1B, 0x44CE6CBA), BN_DEF(0xCF9B14ED, 0xDA3EDBEB), + BN_DEF(0x865A8918, 0x179727B0), BN_DEF(0x9027D831, 0xB06A53ED), + BN_DEF(0x413001AE, 0xE5DB382F), BN_DEF(0xAD9E530E, 0xF8FF9406), + BN_DEF(0x3DBA37BD, 0xC9751E76), BN_DEF(0x602646DE, 0xC1D4DCB2), + BN_DEF(0xD27C7026, 0x36C3FAB4), BN_DEF(0x34028492, 0x4DF435C9), + BN_DEF(0x90A6C08F, 0x86FFB7DC), BN_DEF(0x8D8FDDC1, 0x93B4EA98), + BN_DEF(0xD5B05AA9, 0xD0069127), BN_DEF(0x2170481C, 0xB81BDD76), + BN_DEF(0xCEE2D7AF, 0x1F612970), BN_DEF(0x515BE7ED, 0x233BA186), + BN_DEF(0xA090C3A2, 0x99B2964F), BN_DEF(0x4E6BC05D, 0x287C5947), + BN_DEF(0x1FBECAA6, 0x2E8EFC14), BN_DEF(0x04DE8EF9, 0xDBBBC2DB), + BN_DEF(0x2AD44CE8, 0x2583E9CA), BN_DEF(0xB6150BDA, 0x1A946834), + BN_DEF(0x6AF4E23C, 0x99C32718), BN_DEF(0xBDBA5B26, 0x88719A10), + BN_DEF(0xA787E6D7, 0x1A723C12), BN_DEF(0xA9210801, 0x4B82D120), + BN_DEF(0xE0FD108E, 0x43DB5BFC), BN_DEF(0x74E5AB31, 0x08E24FA0), + BN_DEF(0xBAD946E2, 0x770988C0), BN_DEF(0x7A615D6C, 0xBBE11757), + BN_DEF(0x177B200C, 0x521F2B18), BN_DEF(0x3EC86A64, 0xD8760273), + BN_DEF(0xD98A0864, 0xF12FFA06), BN_DEF(0x1AD2EE6B, 0xCEE3D226), + BN_DEF(0x4A25619D, 0x1E8C94E0), BN_DEF(0xDB0933D7, 0xABF5AE8C), + BN_DEF(0xA6E1E4C7, 0xB3970F85), BN_DEF(0x5D060C7D, 0x8AEA7157), + BN_DEF(0x58DBEF0A, 0xECFB8504), BN_DEF(0xDF1CBA64, 0xA85521AB), + BN_DEF(0x04507A33, 0xAD33170D), BN_DEF(0x8AAAC42D, 0x15728E5A), + BN_DEF(0x98FA0510, 0x15D22618), BN_DEF(0xEA956AE5, 0x3995497C), + BN_DEF(0x95581718, 0xDE2BCBF6), BN_DEF(0x6F4C52C9, 0xB5C55DF0), + BN_DEF(0xEC07A28F, 0x9B2783A2), BN_DEF(0x180E8603, 0xE39E772C), + BN_DEF(0x2E36CE3B, 0x32905E46), BN_DEF(0xCA18217C, 0xF1746C08), + BN_DEF(0x4ABC9804, 0x670C354E), BN_DEF(0x7096966D, 0x9ED52907), + BN_DEF(0x208552BB, 0x1C62F356), BN_DEF(0xDCA3AD96, 0x83655D23), + BN_DEF(0xFD24CF5F, 0x69163FA8), BN_DEF(0x1C55D39A, 0x98DA4836), + BN_DEF(0xA163BF05, 0xC2007CB8), BN_DEF(0xECE45B3D, 0x49286651), + BN_DEF(0x7C4B1FE6, 0xAE9F2411), BN_DEF(0x5A899FA5, 0xEE386BFB), + BN_DEF(0xF406B7ED, 0x0BFF5CB6), BN_DEF(0xA637ED6B, 0xF44C42E9), + BN_DEF(0x625E7EC6, 0xE485B576), BN_DEF(0x6D51C245, 0x4FE1356D), + BN_DEF(0xF25F1437, 0x302B0A6D), BN_DEF(0xCD3A431B, 0xEF9519B3), + BN_DEF(0x8E3404DD, 0x514A0879), BN_DEF(0x3B139B22, 0x020BBEA6), + BN_DEF(0x8A67CC74, 0x29024E08), BN_DEF(0x80DC1CD1, 0xC4C6628B), + BN_DEF(0x2168C234, 0xC90FDAA2), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF) +}; +/* q = (p - 1) / 2 */ +static const BN_ULONG modp_8192_q[] = { + BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0xCC76E9EF, 0xB064C06E), + BN_DEF(0x405CB738, 0xE40FAB74), BN_DEF(0x3B2B4A6F, 0x4F182871), + BN_DEF(0xAB3BF4D5, 0xCAAC7223), BN_DEF(0x7E013723, 0xE48C86D3), + BN_DEF(0x6AF71C15, 0xC44D0017), BN_DEF(0xA40E366B, 0x2004A1C5), + BN_DEF(0x75C3CFC9, 0x1AC8237A), BN_DEF(0x8F67D134, 0xFD79B5E1), + BN_DEF(0xBF73A6B9, 0xD8EA885E), BN_DEF(0xAEF6BF50, 0xFCD5A40C), + BN_DEF(0x8423428E, 0xB2798E62), BN_DEF(0xD012AEE0, 0x22CBF44C), + BN_DEF(0x3A55B51B, 0xEF988770), BN_DEF(0x1FA27C16, 0x369509FC), + BN_DEF(0xD9D13C53, 0x03159E7A), BN_DEF(0xF6ADEE9D, 0x3CB41981), + BN_DEF(0xD16043F4, 0xFD4EA5BF), BN_DEF(0x17C1C2EE, 0xA5E5E443), + BN_DEF(0x36751835, 0x9A39FE32), BN_DEF(0x0D11F863, 0x89F5ABD4), + BN_DEF(0x5201BE03, 0x91111702), BN_DEF(0x7E42456C, 0xF1FEDC5F), + BN_DEF(0xF1CEB296, 0x11C78B65), BN_DEF(0x15F8E4BC, 0x1A11DA3A), + BN_DEF(0x2D727AB4, 0x1D55B1CE), BN_DEF(0xB5D21233, 0x92BB7B49), + BN_DEF(0xC57E23F6, 0x3A0FD3DF), BN_DEF(0x46CEE980, 0x1DE4195B), + BN_DEF(0x39DC98DD, 0x6C5F6268), BN_DEF(0x54996FC6, 0x1C3BBE5B), + BN_DEF(0x897F72F2, 0xBA51C937), BN_DEF(0x36DF08AC, 0x734A7C8F), + BN_DEF(0x85BA3A6B, 0x095F96AD), BN_DEF(0x1FA43077, 0x021F47B3), + BN_DEF(0xB71E0234, 0x1C3FF46B), BN_DEF(0x17794B19, 0x6D2B64F6), + BN_DEF(0xD189EAAE, 0x758CE658), BN_DEF(0xC50FDFF8, 0x7AA8551E), + BN_DEF(0xDBE2ED3B, 0x0350EAC5), BN_DEF(0x794DF194, 0x53CB8AF7), + BN_DEF(0x07C01BF0, 0x0A662F69), BN_DEF(0x5FA470EC, 0x6647B6BF), + BN_DEF(0x15A0AA55, 0xA5EA03D9), BN_DEF(0xFFAC2D62, 0x078EA2DB), + BN_DEF(0x1B66445F, 0x91D4BD3F), BN_DEF(0xDF63F479, 0x2CF3E4BF), + BN_DEF(0xC8058E4F, 0x5AD42018), BN_DEF(0xA34C0641, 0x6AAF3817), + BN_DEF(0x373A7F7B, 0xFA416BE7), BN_DEF(0xE8B90E81, 0x7819750A), + BN_DEF(0xE325C976, 0xACC1E500), BN_DEF(0x9BC6695F, 0x37DC7A00), + BN_DEF(0x95EBD7A1, 0x999028A8), BN_DEF(0xF36612A5, 0xEDBF8A23), + BN_DEF(0x676A5D8D, 0xA267365D), BN_DEF(0xE7CD8A76, 0x6D1F6DF5), + BN_DEF(0x432D448C, 0x8BCB93D8), BN_DEF(0xC813EC18, 0x583529F6), + BN_DEF(0xA09800D7, 0x72ED9C17), BN_DEF(0x56CF2987, 0xFC7FCA03), + BN_DEF(0x1EDD1BDE, 0x64BA8F3B), BN_DEF(0x3013236F, 0x60EA6E59), + BN_DEF(0x693E3813, 0x1B61FD5A), BN_DEF(0x9A014249, 0xA6FA1AE4), + BN_DEF(0x48536047, 0xC37FDBEE), BN_DEF(0x46C7EEE0, 0xC9DA754C), + BN_DEF(0xEAD82D54, 0x68034893), BN_DEF(0x10B8240E, 0xDC0DEEBB), + BN_DEF(0x67716BD7, 0x8FB094B8), BN_DEF(0x28ADF3F6, 0x119DD0C3), + BN_DEF(0xD04861D1, 0xCCD94B27), BN_DEF(0xA735E02E, 0x143E2CA3), + BN_DEF(0x0FDF6553, 0x97477E0A), BN_DEF(0x826F477C, 0x6DDDE16D), + BN_DEF(0x156A2674, 0x12C1F4E5), BN_DEF(0x5B0A85ED, 0x0D4A341A), + BN_DEF(0x357A711E, 0x4CE1938C), BN_DEF(0x5EDD2D93, 0xC438CD08), + BN_DEF(0x53C3F36B, 0x8D391E09), BN_DEF(0x54908400, 0x25C16890), + BN_DEF(0x707E8847, 0xA1EDADFE), BN_DEF(0x3A72D598, 0x047127D0), + BN_DEF(0x5D6CA371, 0x3B84C460), BN_DEF(0xBD30AEB6, 0x5DF08BAB), + BN_DEF(0x0BBD9006, 0x290F958C), BN_DEF(0x9F643532, 0x6C3B0139), + BN_DEF(0x6CC50432, 0xF897FD03), BN_DEF(0x0D697735, 0xE771E913), + BN_DEF(0x2512B0CE, 0x8F464A70), BN_DEF(0x6D8499EB, 0xD5FAD746), + BN_DEF(0xD370F263, 0xD9CB87C2), BN_DEF(0xAE83063E, 0x457538AB), + BN_DEF(0x2C6DF785, 0x767DC282), BN_DEF(0xEF8E5D32, 0xD42A90D5), + BN_DEF(0x82283D19, 0xD6998B86), BN_DEF(0x45556216, 0x0AB9472D), + BN_DEF(0x4C7D0288, 0x8AE9130C), BN_DEF(0x754AB572, 0x1CCAA4BE), + BN_DEF(0x4AAC0B8C, 0xEF15E5FB), BN_DEF(0x37A62964, 0xDAE2AEF8), + BN_DEF(0x7603D147, 0xCD93C1D1), BN_DEF(0x0C074301, 0xF1CF3B96), + BN_DEF(0x171B671D, 0x19482F23), BN_DEF(0x650C10BE, 0x78BA3604), + BN_DEF(0x255E4C02, 0xB3861AA7), BN_DEF(0xB84B4B36, 0xCF6A9483), + BN_DEF(0x1042A95D, 0x0E3179AB), BN_DEF(0xEE51D6CB, 0xC1B2AE91), + BN_DEF(0x7E9267AF, 0x348B1FD4), BN_DEF(0x0E2AE9CD, 0xCC6D241B), + BN_DEF(0x50B1DF82, 0xE1003E5C), BN_DEF(0xF6722D9E, 0x24943328), + BN_DEF(0xBE258FF3, 0xD74F9208), BN_DEF(0xAD44CFD2, 0xF71C35FD), + BN_DEF(0x7A035BF6, 0x85FFAE5B), BN_DEF(0xD31BF6B5, 0x7A262174), + BN_DEF(0x312F3F63, 0xF242DABB), BN_DEF(0xB6A8E122, 0xA7F09AB6), + BN_DEF(0xF92F8A1B, 0x98158536), BN_DEF(0xE69D218D, 0xF7CA8CD9), + BN_DEF(0xC71A026E, 0x28A5043C), BN_DEF(0x1D89CD91, 0x0105DF53), + BN_DEF(0x4533E63A, 0x94812704), BN_DEF(0xC06E0E68, 0x62633145), + BN_DEF(0x10B4611A, 0xE487ED51), BN_DEF(0xFFFFFFFF, 0x7FFFFFFF), +}; + + + /* DH parameters from RFC5114 */ # if BN_BITS2 == 64 @@ -508,5 +990,17 @@ make_dh_bn(ffdhe4096_p) make_dh_bn(ffdhe6144_p) make_dh_bn(ffdhe8192_p) +make_dh_bn(modp_1536_p) +make_dh_bn(modp_1536_q) +make_dh_bn(modp_2048_p) +make_dh_bn(modp_2048_q) +make_dh_bn(modp_3072_p) +make_dh_bn(modp_3072_q) +make_dh_bn(modp_4096_p) +make_dh_bn(modp_4096_q) +make_dh_bn(modp_6144_p) +make_dh_bn(modp_6144_q) +make_dh_bn(modp_8192_p) +make_dh_bn(modp_8192_q) #endif diff --git a/crypto/dh/dh_pmeth.c b/crypto/dh/dh_pmeth.c index e0805e7..261c8a1 100644 --- a/crypto/dh/dh_pmeth.c +++ b/crypto/dh/dh_pmeth.c @@ -351,6 +351,10 @@ static int pkey_dh_paramgen(EVP_PKEY_CTX *ctx, EVP_PKEY *pkey) return 1; } + /* + * Look for a safe prime group for key establishment. Which uses + * either RFC_3526 (modp_XXXX) or RFC_7919 (ffdheXXXX). + */ if (dctx->param_nid != 0) { if ((dh = DH_new_by_nid(dctx->param_nid)) == NULL) return 0; diff --git a/crypto/dh/dh_rfc7919.c b/crypto/dh/dh_rfc7919.c index 03d30a1..f339bd9 100644 --- a/crypto/dh/dh_rfc7919.c +++ b/crypto/dh/dh_rfc7919.c @@ -38,6 +38,18 @@ DH *DH_new_by_nid(int nid) return dh_param_init(&_bignum_ffdhe6144_p, 375); case NID_ffdhe8192: return dh_param_init(&_bignum_ffdhe8192_p, 400); + case NID_modp_1536: + return dh_param_init(&_bignum_modp_1536_p, 175); + case NID_modp_2048: + return dh_param_init(&_bignum_modp_2048_p, 225); + case NID_modp_3072: + return dh_param_init(&_bignum_modp_3072_p, 275); + case NID_modp_4096: + return dh_param_init(&_bignum_modp_4096_p, 325); + case NID_modp_6144: + return dh_param_init(&_bignum_modp_6144_p, 375); + case NID_modp_8192: + return dh_param_init(&_bignum_modp_8192_p, 400); default: DHerr(DH_F_DH_NEW_BY_NID, DH_R_INVALID_PARAMETER_NID); return NULL; @@ -60,6 +72,18 @@ int DH_get_nid(const DH *dh) nid = NID_ffdhe6144; else if (!BN_cmp(dh->p, &_bignum_ffdhe8192_p)) nid = NID_ffdhe8192; + else if (!BN_cmp(dh->p, &_bignum_modp_1536_p)) + nid = NID_modp_1536; + else if (!BN_cmp(dh->p, &_bignum_modp_2048_p)) + nid = NID_modp_2048; + else if (!BN_cmp(dh->p, &_bignum_modp_3072_p)) + nid = NID_modp_3072; + else if (!BN_cmp(dh->p, &_bignum_modp_4096_p)) + nid = NID_modp_4096; + else if (!BN_cmp(dh->p, &_bignum_modp_6144_p)) + nid = NID_modp_6144; + else if (!BN_cmp(dh->p, &_bignum_modp_8192_p)) + nid = NID_modp_8192; else return NID_undef; if (dh->q != NULL) { diff --git a/crypto/objects/obj_dat.h b/crypto/objects/obj_dat.h index 12ca5ec..2fbd9a9 100644 --- a/crypto/objects/obj_dat.h +++ b/crypto/objects/obj_dat.h @@ -1078,7 +1078,7 @@ static const unsigned char so[7762] = { 0x2A,0x86,0x48,0x86,0xF7,0x0D,0x02,0x0D, /* [ 7753] OBJ_hmacWithSHA512_256 */ }; -#define NUM_NID 1196 +#define NUM_NID 1202 static const ASN1_OBJECT nid_objs[NUM_NID] = { {"UNDEF", "undefined", NID_undef}, {"rsadsi", "RSA Data Security, Inc.", NID_rsadsi, 6, &so[0]}, @@ -2276,9 +2276,15 @@ static const ASN1_OBJECT nid_objs[NUM_NID] = { {"hmacWithSHA512-224", "hmacWithSHA512-224", NID_hmacWithSHA512_224, 8, &so[7745]}, {"hmacWithSHA512-256", "hmacWithSHA512-256", NID_hmacWithSHA512_256, 8, &so[7753]}, {"SSHKDF", "sshkdf", NID_sshkdf}, + {"modp_1536", "modp_1536", NID_modp_1536}, + {"modp_2048", "modp_2048", NID_modp_2048}, + {"modp_3072", "modp_3072", NID_modp_3072}, + {"modp_4096", "modp_4096", NID_modp_4096}, + {"modp_6144", "modp_6144", NID_modp_6144}, + {"modp_8192", "modp_8192", NID_modp_8192}, }; -#define NUM_SN 1187 +#define NUM_SN 1193 static const unsigned int sn_objs[NUM_SN] = { 364, /* "AD_DVCS" */ 419, /* "AES-128-CBC" */ @@ -3121,6 +3127,12 @@ static const unsigned int sn_objs[NUM_SN] = { 506, /* "mime-mhs-bodies" */ 505, /* "mime-mhs-headings" */ 488, /* "mobileTelephoneNumber" */ + 1196, /* "modp_1536" */ + 1197, /* "modp_2048" */ + 1198, /* "modp_3072" */ + 1199, /* "modp_4096" */ + 1200, /* "modp_6144" */ + 1201, /* "modp_8192" */ 136, /* "msCTLSign" */ 135, /* "msCodeCom" */ 134, /* "msCodeInd" */ @@ -3469,7 +3481,7 @@ static const unsigned int sn_objs[NUM_SN] = { 1093, /* "x509ExtAdmission" */ }; -#define NUM_LN 1187 +#define NUM_LN 1193 static const unsigned int ln_objs[NUM_LN] = { 363, /* "AD Time Stamping" */ 405, /* "ANSI X9.62" */ @@ -4305,6 +4317,12 @@ static const unsigned int ln_objs[NUM_LN] = { 506, /* "mime-mhs-bodies" */ 505, /* "mime-mhs-headings" */ 488, /* "mobileTelephoneNumber" */ + 1196, /* "modp_1536" */ + 1197, /* "modp_2048" */ + 1198, /* "modp_3072" */ + 1199, /* "modp_4096" */ + 1200, /* "modp_6144" */ + 1201, /* "modp_8192" */ 481, /* "nSRecord" */ 173, /* "name" */ 681, /* "onBasis" */ diff --git a/crypto/objects/obj_mac.num b/crypto/objects/obj_mac.num index 231c183..7ee5912 100644 --- a/crypto/objects/obj_mac.num +++ b/crypto/objects/obj_mac.num @@ -1193,3 +1193,9 @@ magma_mac 1192 hmacWithSHA512_224 1193 hmacWithSHA512_256 1194 sshkdf 1195 +modp_1536 1196 +modp_2048 1197 +modp_3072 1198 +modp_4096 1199 +modp_6144 1200 +modp_8192 1201 diff --git a/doc/man3/DH_new_by_nid.pod b/doc/man3/DH_new_by_nid.pod index 73636c5..fcea642 100644 --- a/doc/man3/DH_new_by_nid.pod +++ b/doc/man3/DH_new_by_nid.pod @@ -14,7 +14,9 @@ DH_new_by_nid, DH_get_nid - get or find DH named parameters DH_new_by_nid() creates and returns a DH structure containing named parameters B<nid>. Currently B<nid> must be B<NID_ffdhe2048>, B<NID_ffdhe3072>, -B<NID_ffdhe4096>, B<NID_ffdhe6144> or B<NID_ffdhe8192>. +B<NID_ffdhe4096>, B<NID_ffdhe6144> or B<NID_ffdhe8192>, +B<NID_modp_1536>, B<NID_modp_2048>, B<NID_modp_3072>, +B<NID_modp_4096>, B<NID_modp_6144> or B<NID_modp_8192>. DH_get_nid() determines if the parameters contained in B<dh> match any named set. It returns the NID corresponding to the matching parameters or diff --git a/doc/man3/EVP_PKEY_CTX_ctrl.pod b/doc/man3/EVP_PKEY_CTX_ctrl.pod index e475316..9c695b9 100644 --- a/doc/man3/EVP_PKEY_CTX_ctrl.pod +++ b/doc/man3/EVP_PKEY_CTX_ctrl.pod @@ -294,10 +294,11 @@ The EVP_PKEY_CTX_set_dh_pad() macro sets the DH padding mode. If B<pad> is If B<pad> is zero (the default) then no padding is performed. EVP_PKEY_CTX_set_dh_nid() sets the DH parameters to values corresponding to -B<nid> as defined in RFC7919. The B<nid> parameter must be B<NID_ffdhe2048>, -B<NID_ffdhe3072>, B<NID_ffdhe4096>, B<NID_ffdhe6144>, B<NID_ffdhe8192> -or B<NID_undef> to clear the stored value. This macro can be called during -parameter or key generation. +I<nid> as defined in RFC7919 or RFC3526. The I<nid> parameter must be +B<NID_ffdhe2048>, B<NID_ffdhe3072>, B<NID_ffdhe4096>, B<NID_ffdhe6144>, +B<NID_ffdhe8192>, B<NID_modp_1536>, B<NID_modp_2048>, B<NID_modp_3072>, +B<NID_modp_4096>, B<NID_modp_6144>, B<NID_modp_8192> or B<NID_undef> to clear +the stored value. This function can be called during parameter or key generation. The nid parameter and the rfc5114 parameter are mutually exclusive. The EVP_PKEY_CTX_set_dh_rfc5114() and EVP_PKEY_CTX_set_dhx_rfc5114() macros are diff --git a/include/crypto/bn_dh.h b/include/crypto/bn_dh.h index 70ebca2..5cb83d0 100644 --- a/include/crypto/bn_dh.h +++ b/include/crypto/bn_dh.h @@ -22,3 +22,10 @@ extern const BIGNUM _bignum_ffdhe4096_p; extern const BIGNUM _bignum_ffdhe6144_p; extern const BIGNUM _bignum_ffdhe8192_p; extern const BIGNUM _bignum_const_2; + +extern const BIGNUM _bignum_modp_1536_p; +extern const BIGNUM _bignum_modp_2048_p; +extern const BIGNUM _bignum_modp_3072_p; +extern const BIGNUM _bignum_modp_4096_p; +extern const BIGNUM _bignum_modp_6144_p; +extern const BIGNUM _bignum_modp_8192_p; diff --git a/include/openssl/obj_mac.h b/include/openssl/obj_mac.h index 4616eaf..cfaedf5 100644 --- a/include/openssl/obj_mac.h +++ b/include/openssl/obj_mac.h @@ -5103,6 +5103,24 @@ #define SN_ffdhe8192 "ffdhe8192" #define NID_ffdhe8192 1130 +#define SN_modp_1536 "modp_1536" +#define NID_modp_1536 1196 + +#define SN_modp_2048 "modp_2048" +#define NID_modp_2048 1197 + +#define SN_modp_3072 "modp_3072" +#define NID_modp_3072 1198 + +#define SN_modp_4096 "modp_4096" +#define NID_modp_4096 1199 + +#define SN_modp_6144 "modp_6144" +#define NID_modp_6144 1200 + +#define SN_modp_8192 "modp_8192" +#define NID_modp_8192 1201 + #define SN_ISO_UA "ISO-UA" #define NID_ISO_UA 1150 #define OBJ_ISO_UA OBJ_member_body,804L
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