1 /* 2 * Copyright 2014-2021 The OpenSSL Project Authors. All Rights Reserved. 3 * 4 * Licensed under the Apache License 2.0 (the "License"). You may not use 5 * this file except in compliance with the License. You can obtain a copy 6 * in the file LICENSE in the source distribution or at 7 * https://www.openssl.org/source/license.html 8 */ 9 10 #include "bn_local.h" 11 #include "internal/nelem.h" 12 13 # include <openssl/dh.h> 14 # include "crypto/bn_dh.h" 15 16 # if BN_BITS2 == 64 17 # define BN_DEF(lo, hi) (BN_ULONG)hi << 32 | lo 18 # else 19 # define BN_DEF(lo, hi) lo, hi 20 # endif 21 22 /* DH parameters from RFC3526 */ 23 24 # ifndef FIPS_MODULE 25 /* 26 * "1536-bit MODP Group" from RFC3526, Section 2. 27 * 28 * The prime is: 2^1536 - 2^1472 - 1 + 2^64 * { [2^1406 pi] + 741804 } 29 * 30 * RFC3526 specifies a generator of 2. 31 * RFC2412 specifies a generator of 22. 32 */ 33 static const BN_ULONG modp_1536_p[] = { 34 BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0xCA237327, 0xF1746C08), 35 BN_DEF(0x4ABC9804, 0x670C354E), BN_DEF(0x7096966D, 0x9ED52907), 36 BN_DEF(0x208552BB, 0x1C62F356), BN_DEF(0xDCA3AD96, 0x83655D23), 37 BN_DEF(0xFD24CF5F, 0x69163FA8), BN_DEF(0x1C55D39A, 0x98DA4836), 38 BN_DEF(0xA163BF05, 0xC2007CB8), BN_DEF(0xECE45B3D, 0x49286651), 39 BN_DEF(0x7C4B1FE6, 0xAE9F2411), BN_DEF(0x5A899FA5, 0xEE386BFB), 40 BN_DEF(0xF406B7ED, 0x0BFF5CB6), BN_DEF(0xA637ED6B, 0xF44C42E9), 41 BN_DEF(0x625E7EC6, 0xE485B576), BN_DEF(0x6D51C245, 0x4FE1356D), 42 BN_DEF(0xF25F1437, 0x302B0A6D), BN_DEF(0xCD3A431B, 0xEF9519B3), 43 BN_DEF(0x8E3404DD, 0x514A0879), BN_DEF(0x3B139B22, 0x020BBEA6), 44 BN_DEF(0x8A67CC74, 0x29024E08), BN_DEF(0x80DC1CD1, 0xC4C6628B), 45 BN_DEF(0x2168C234, 0xC90FDAA2), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF) 46 }; 47 /* q = (p - 1) / 2 */ 48 static const BN_ULONG modp_1536_q[] = { 49 BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x6511B993, 0x78BA3604), 50 BN_DEF(0x255E4C02, 0xB3861AA7), BN_DEF(0xB84B4B36, 0xCF6A9483), 51 BN_DEF(0x1042A95D, 0x0E3179AB), BN_DEF(0xEE51D6CB, 0xC1B2AE91), 52 BN_DEF(0x7E9267AF, 0x348B1FD4), BN_DEF(0x0E2AE9CD, 0xCC6D241B), 53 BN_DEF(0x50B1DF82, 0xE1003E5C), BN_DEF(0xF6722D9E, 0x24943328), 54 BN_DEF(0xBE258FF3, 0xD74F9208), BN_DEF(0xAD44CFD2, 0xF71C35FD), 55 BN_DEF(0x7A035BF6, 0x85FFAE5B), BN_DEF(0xD31BF6B5, 0x7A262174), 56 BN_DEF(0x312F3F63, 0xF242DABB), BN_DEF(0xB6A8E122, 0xA7F09AB6), 57 BN_DEF(0xF92F8A1B, 0x98158536), BN_DEF(0xE69D218D, 0xF7CA8CD9), 58 BN_DEF(0xC71A026E, 0x28A5043C), BN_DEF(0x1D89CD91, 0x0105DF53), 59 BN_DEF(0x4533E63A, 0x94812704), BN_DEF(0xC06E0E68, 0x62633145), 60 BN_DEF(0x10B4611A, 0xE487ED51), BN_DEF(0xFFFFFFFF, 0x7FFFFFFF) 61 }; 62 # endif /* FIPS_MODULE */ 63 64 /*- 65 * "2048-bit MODP Group" from RFC3526, Section 3. 66 * 67 * The prime is: 2^2048 - 2^1984 - 1 + 2^64 * { [2^1918 pi] + 124476 } 68 * 69 * RFC3526 specifies a generator of 2. 70 */ 71 static const BN_ULONG modp_2048_p[] = { 72 BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x8AACAA68, 0x15728E5A), 73 BN_DEF(0x98FA0510, 0x15D22618), BN_DEF(0xEA956AE5, 0x3995497C), 74 BN_DEF(0x95581718, 0xDE2BCBF6), BN_DEF(0x6F4C52C9, 0xB5C55DF0), 75 BN_DEF(0xEC07A28F, 0x9B2783A2), BN_DEF(0x180E8603, 0xE39E772C), 76 BN_DEF(0x2E36CE3B, 0x32905E46), BN_DEF(0xCA18217C, 0xF1746C08), 77 BN_DEF(0x4ABC9804, 0x670C354E), BN_DEF(0x7096966D, 0x9ED52907), 78 BN_DEF(0x208552BB, 0x1C62F356), BN_DEF(0xDCA3AD96, 0x83655D23), 79 BN_DEF(0xFD24CF5F, 0x69163FA8), BN_DEF(0x1C55D39A, 0x98DA4836), 80 BN_DEF(0xA163BF05, 0xC2007CB8), BN_DEF(0xECE45B3D, 0x49286651), 81 BN_DEF(0x7C4B1FE6, 0xAE9F2411), BN_DEF(0x5A899FA5, 0xEE386BFB), 82 BN_DEF(0xF406B7ED, 0x0BFF5CB6), BN_DEF(0xA637ED6B, 0xF44C42E9), 83 BN_DEF(0x625E7EC6, 0xE485B576), BN_DEF(0x6D51C245, 0x4FE1356D), 84 BN_DEF(0xF25F1437, 0x302B0A6D), BN_DEF(0xCD3A431B, 0xEF9519B3), 85 BN_DEF(0x8E3404DD, 0x514A0879), BN_DEF(0x3B139B22, 0x020BBEA6), 86 BN_DEF(0x8A67CC74, 0x29024E08), BN_DEF(0x80DC1CD1, 0xC4C6628B), 87 BN_DEF(0x2168C234, 0xC90FDAA2), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF) 88 }; 89 /* q = (p - 1) / 2 */ 90 static const BN_ULONG modp_2048_q[] = { 91 BN_DEF(0xFFFFFFFF, 0x7FFFFFFF), BN_DEF(0x45565534, 0x0AB9472D), 92 BN_DEF(0x4C7D0288, 0x8AE9130C), BN_DEF(0x754AB572, 0x1CCAA4BE), 93 BN_DEF(0x4AAC0B8C, 0xEF15E5FB), BN_DEF(0x37A62964, 0xDAE2AEF8), 94 BN_DEF(0x7603D147, 0xCD93C1D1), BN_DEF(0x0C074301, 0xF1CF3B96), 95 BN_DEF(0x171B671D, 0x19482F23), BN_DEF(0x650C10BE, 0x78BA3604), 96 BN_DEF(0x255E4C02, 0xB3861AA7), BN_DEF(0xB84B4B36, 0xCF6A9483), 97 BN_DEF(0x1042A95D, 0x0E3179AB), BN_DEF(0xEE51D6CB, 0xC1B2AE91), 98 BN_DEF(0x7E9267AF, 0x348B1FD4), BN_DEF(0x0E2AE9CD, 0xCC6D241B), 99 BN_DEF(0x50B1DF82, 0xE1003E5C), BN_DEF(0xF6722D9E, 0x24943328), 100 BN_DEF(0xBE258FF3, 0xD74F9208), BN_DEF(0xAD44CFD2, 0xF71C35FD), 101 BN_DEF(0x7A035BF6, 0x85FFAE5B), BN_DEF(0xD31BF6B5, 0x7A262174), 102 BN_DEF(0x312F3F63, 0xF242DABB), BN_DEF(0xB6A8E122, 0xA7F09AB6), 103 BN_DEF(0xF92F8A1B, 0x98158536), BN_DEF(0xE69D218D, 0xF7CA8CD9), 104 BN_DEF(0xC71A026E, 0x28A5043C), BN_DEF(0x1D89CD91, 0x0105DF53), 105 BN_DEF(0x4533E63A, 0x94812704), BN_DEF(0xC06E0E68, 0x62633145), 106 BN_DEF(0x10B4611A, 0xE487ED51), BN_DEF(0xFFFFFFFF, 0x7FFFFFFF), 107 }; 108 109 /*- 110 * "3072-bit MODP Group" from RFC3526, Section 4. 111 * 112 * The prime is: 2^3072 - 2^3008 - 1 + 2^64 * { [2^2942 pi] + 1690314 } 113 * 114 * RFC3526 specifies a generator of 2. 115 */ 116 static const BN_ULONG modp_3072_p[] = { 117 BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0xA93AD2CA, 0x4B82D120), 118 BN_DEF(0xE0FD108E, 0x43DB5BFC), BN_DEF(0x74E5AB31, 0x08E24FA0), 119 BN_DEF(0xBAD946E2, 0x770988C0), BN_DEF(0x7A615D6C, 0xBBE11757), 120 BN_DEF(0x177B200C, 0x521F2B18), BN_DEF(0x3EC86A64, 0xD8760273), 121 BN_DEF(0xD98A0864, 0xF12FFA06), BN_DEF(0x1AD2EE6B, 0xCEE3D226), 122 BN_DEF(0x4A25619D, 0x1E8C94E0), BN_DEF(0xDB0933D7, 0xABF5AE8C), 123 BN_DEF(0xA6E1E4C7, 0xB3970F85), BN_DEF(0x5D060C7D, 0x8AEA7157), 124 BN_DEF(0x58DBEF0A, 0xECFB8504), BN_DEF(0xDF1CBA64, 0xA85521AB), 125 BN_DEF(0x04507A33, 0xAD33170D), BN_DEF(0x8AAAC42D, 0x15728E5A), 126 BN_DEF(0x98FA0510, 0x15D22618), BN_DEF(0xEA956AE5, 0x3995497C), 127 BN_DEF(0x95581718, 0xDE2BCBF6), BN_DEF(0x6F4C52C9, 0xB5C55DF0), 128 BN_DEF(0xEC07A28F, 0x9B2783A2), BN_DEF(0x180E8603, 0xE39E772C), 129 BN_DEF(0x2E36CE3B, 0x32905E46), BN_DEF(0xCA18217C, 0xF1746C08), 130 BN_DEF(0x4ABC9804, 0x670C354E), BN_DEF(0x7096966D, 0x9ED52907), 131 BN_DEF(0x208552BB, 0x1C62F356), BN_DEF(0xDCA3AD96, 0x83655D23), 132 BN_DEF(0xFD24CF5F, 0x69163FA8), BN_DEF(0x1C55D39A, 0x98DA4836), 133 BN_DEF(0xA163BF05, 0xC2007CB8), BN_DEF(0xECE45B3D, 0x49286651), 134 BN_DEF(0x7C4B1FE6, 0xAE9F2411), BN_DEF(0x5A899FA5, 0xEE386BFB), 135 BN_DEF(0xF406B7ED, 0x0BFF5CB6), BN_DEF(0xA637ED6B, 0xF44C42E9), 136 BN_DEF(0x625E7EC6, 0xE485B576), BN_DEF(0x6D51C245, 0x4FE1356D), 137 BN_DEF(0xF25F1437, 0x302B0A6D), BN_DEF(0xCD3A431B, 0xEF9519B3), 138 BN_DEF(0x8E3404DD, 0x514A0879), BN_DEF(0x3B139B22, 0x020BBEA6), 139 BN_DEF(0x8A67CC74, 0x29024E08), BN_DEF(0x80DC1CD1, 0xC4C6628B), 140 BN_DEF(0x2168C234, 0xC90FDAA2), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF) 141 }; 142 /* q = (p - 1) / 2 */ 143 static const BN_ULONG modp_3072_q[] = { 144 BN_DEF(0xFFFFFFFF, 0x7FFFFFFF), BN_DEF(0x549D6965, 0x25C16890), 145 BN_DEF(0x707E8847, 0xA1EDADFE), BN_DEF(0x3A72D598, 0x047127D0), 146 BN_DEF(0x5D6CA371, 0x3B84C460), BN_DEF(0xBD30AEB6, 0x5DF08BAB), 147 BN_DEF(0x0BBD9006, 0x290F958C), BN_DEF(0x9F643532, 0x6C3B0139), 148 BN_DEF(0x6CC50432, 0xF897FD03), BN_DEF(0x0D697735, 0xE771E913), 149 BN_DEF(0x2512B0CE, 0x8F464A70), BN_DEF(0x6D8499EB, 0xD5FAD746), 150 BN_DEF(0xD370F263, 0xD9CB87C2), BN_DEF(0xAE83063E, 0x457538AB), 151 BN_DEF(0x2C6DF785, 0x767DC282), BN_DEF(0xEF8E5D32, 0xD42A90D5), 152 BN_DEF(0x82283D19, 0xD6998B86), BN_DEF(0x45556216, 0x0AB9472D), 153 BN_DEF(0x4C7D0288, 0x8AE9130C), BN_DEF(0x754AB572, 0x1CCAA4BE), 154 BN_DEF(0x4AAC0B8C, 0xEF15E5FB), BN_DEF(0x37A62964, 0xDAE2AEF8), 155 BN_DEF(0x7603D147, 0xCD93C1D1), BN_DEF(0x0C074301, 0xF1CF3B96), 156 BN_DEF(0x171B671D, 0x19482F23), BN_DEF(0x650C10BE, 0x78BA3604), 157 BN_DEF(0x255E4C02, 0xB3861AA7), BN_DEF(0xB84B4B36, 0xCF6A9483), 158 BN_DEF(0x1042A95D, 0x0E3179AB), BN_DEF(0xEE51D6CB, 0xC1B2AE91), 159 BN_DEF(0x7E9267AF, 0x348B1FD4), BN_DEF(0x0E2AE9CD, 0xCC6D241B), 160 BN_DEF(0x50B1DF82, 0xE1003E5C), BN_DEF(0xF6722D9E, 0x24943328), 161 BN_DEF(0xBE258FF3, 0xD74F9208), BN_DEF(0xAD44CFD2, 0xF71C35FD), 162 BN_DEF(0x7A035BF6, 0x85FFAE5B), BN_DEF(0xD31BF6B5, 0x7A262174), 163 BN_DEF(0x312F3F63, 0xF242DABB), BN_DEF(0xB6A8E122, 0xA7F09AB6), 164 BN_DEF(0xF92F8A1B, 0x98158536), BN_DEF(0xE69D218D, 0xF7CA8CD9), 165 BN_DEF(0xC71A026E, 0x28A5043C), BN_DEF(0x1D89CD91, 0x0105DF53), 166 BN_DEF(0x4533E63A, 0x94812704), BN_DEF(0xC06E0E68, 0x62633145), 167 BN_DEF(0x10B4611A, 0xE487ED51), BN_DEF(0xFFFFFFFF, 0x7FFFFFFF), 168 }; 169 170 /*- 171 * "4096-bit MODP Group" from RFC3526, Section 5. 172 * 173 * The prime is: 2^4096 - 2^4032 - 1 + 2^64 * { [2^3966 pi] + 240904 } 174 * 175 * RFC3526 specifies a generator of 2. 176 */ 177 static const BN_ULONG modp_4096_p[] = { 178 BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x34063199, 0x4DF435C9), 179 BN_DEF(0x90A6C08F, 0x86FFB7DC), BN_DEF(0x8D8FDDC1, 0x93B4EA98), 180 BN_DEF(0xD5B05AA9, 0xD0069127), BN_DEF(0x2170481C, 0xB81BDD76), 181 BN_DEF(0xCEE2D7AF, 0x1F612970), BN_DEF(0x515BE7ED, 0x233BA186), 182 BN_DEF(0xA090C3A2, 0x99B2964F), BN_DEF(0x4E6BC05D, 0x287C5947), 183 BN_DEF(0x1FBECAA6, 0x2E8EFC14), BN_DEF(0x04DE8EF9, 0xDBBBC2DB), 184 BN_DEF(0x2AD44CE8, 0x2583E9CA), BN_DEF(0xB6150BDA, 0x1A946834), 185 BN_DEF(0x6AF4E23C, 0x99C32718), BN_DEF(0xBDBA5B26, 0x88719A10), 186 BN_DEF(0xA787E6D7, 0x1A723C12), BN_DEF(0xA9210801, 0x4B82D120), 187 BN_DEF(0xE0FD108E, 0x43DB5BFC), BN_DEF(0x74E5AB31, 0x08E24FA0), 188 BN_DEF(0xBAD946E2, 0x770988C0), BN_DEF(0x7A615D6C, 0xBBE11757), 189 BN_DEF(0x177B200C, 0x521F2B18), BN_DEF(0x3EC86A64, 0xD8760273), 190 BN_DEF(0xD98A0864, 0xF12FFA06), BN_DEF(0x1AD2EE6B, 0xCEE3D226), 191 BN_DEF(0x4A25619D, 0x1E8C94E0), BN_DEF(0xDB0933D7, 0xABF5AE8C), 192 BN_DEF(0xA6E1E4C7, 0xB3970F85), BN_DEF(0x5D060C7D, 0x8AEA7157), 193 BN_DEF(0x58DBEF0A, 0xECFB8504), BN_DEF(0xDF1CBA64, 0xA85521AB), 194 BN_DEF(0x04507A33, 0xAD33170D), BN_DEF(0x8AAAC42D, 0x15728E5A), 195 BN_DEF(0x98FA0510, 0x15D22618), BN_DEF(0xEA956AE5, 0x3995497C), 196 BN_DEF(0x95581718, 0xDE2BCBF6), BN_DEF(0x6F4C52C9, 0xB5C55DF0), 197 BN_DEF(0xEC07A28F, 0x9B2783A2), BN_DEF(0x180E8603, 0xE39E772C), 198 BN_DEF(0x2E36CE3B, 0x32905E46), BN_DEF(0xCA18217C, 0xF1746C08), 199 BN_DEF(0x4ABC9804, 0x670C354E), BN_DEF(0x7096966D, 0x9ED52907), 200 BN_DEF(0x208552BB, 0x1C62F356), BN_DEF(0xDCA3AD96, 0x83655D23), 201 BN_DEF(0xFD24CF5F, 0x69163FA8), BN_DEF(0x1C55D39A, 0x98DA4836), 202 BN_DEF(0xA163BF05, 0xC2007CB8), BN_DEF(0xECE45B3D, 0x49286651), 203 BN_DEF(0x7C4B1FE6, 0xAE9F2411), BN_DEF(0x5A899FA5, 0xEE386BFB), 204 BN_DEF(0xF406B7ED, 0x0BFF5CB6), BN_DEF(0xA637ED6B, 0xF44C42E9), 205 BN_DEF(0x625E7EC6, 0xE485B576), BN_DEF(0x6D51C245, 0x4FE1356D), 206 BN_DEF(0xF25F1437, 0x302B0A6D), BN_DEF(0xCD3A431B, 0xEF9519B3), 207 BN_DEF(0x8E3404DD, 0x514A0879), BN_DEF(0x3B139B22, 0x020BBEA6), 208 BN_DEF(0x8A67CC74, 0x29024E08), BN_DEF(0x80DC1CD1, 0xC4C6628B), 209 BN_DEF(0x2168C234, 0xC90FDAA2), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF) 210 }; 211 /* q = (p - 1) / 2 */ 212 static const BN_ULONG modp_4096_q[] = { 213 BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x9A0318CC, 0xA6FA1AE4), 214 BN_DEF(0x48536047, 0xC37FDBEE), BN_DEF(0x46C7EEE0, 0xC9DA754C), 215 BN_DEF(0xEAD82D54, 0x68034893), BN_DEF(0x10B8240E, 0xDC0DEEBB), 216 BN_DEF(0x67716BD7, 0x8FB094B8), BN_DEF(0x28ADF3F6, 0x119DD0C3), 217 BN_DEF(0xD04861D1, 0xCCD94B27), BN_DEF(0xA735E02E, 0x143E2CA3), 218 BN_DEF(0x0FDF6553, 0x97477E0A), BN_DEF(0x826F477C, 0x6DDDE16D), 219 BN_DEF(0x156A2674, 0x12C1F4E5), BN_DEF(0x5B0A85ED, 0x0D4A341A), 220 BN_DEF(0x357A711E, 0x4CE1938C), BN_DEF(0x5EDD2D93, 0xC438CD08), 221 BN_DEF(0x53C3F36B, 0x8D391E09), BN_DEF(0x54908400, 0x25C16890), 222 BN_DEF(0x707E8847, 0xA1EDADFE), BN_DEF(0x3A72D598, 0x047127D0), 223 BN_DEF(0x5D6CA371, 0x3B84C460), BN_DEF(0xBD30AEB6, 0x5DF08BAB), 224 BN_DEF(0x0BBD9006, 0x290F958C), BN_DEF(0x9F643532, 0x6C3B0139), 225 BN_DEF(0x6CC50432, 0xF897FD03), BN_DEF(0x0D697735, 0xE771E913), 226 BN_DEF(0x2512B0CE, 0x8F464A70), BN_DEF(0x6D8499EB, 0xD5FAD746), 227 BN_DEF(0xD370F263, 0xD9CB87C2), BN_DEF(0xAE83063E, 0x457538AB), 228 BN_DEF(0x2C6DF785, 0x767DC282), BN_DEF(0xEF8E5D32, 0xD42A90D5), 229 BN_DEF(0x82283D19, 0xD6998B86), BN_DEF(0x45556216, 0x0AB9472D), 230 BN_DEF(0x4C7D0288, 0x8AE9130C), BN_DEF(0x754AB572, 0x1CCAA4BE), 231 BN_DEF(0x4AAC0B8C, 0xEF15E5FB), BN_DEF(0x37A62964, 0xDAE2AEF8), 232 BN_DEF(0x7603D147, 0xCD93C1D1), BN_DEF(0x0C074301, 0xF1CF3B96), 233 BN_DEF(0x171B671D, 0x19482F23), BN_DEF(0x650C10BE, 0x78BA3604), 234 BN_DEF(0x255E4C02, 0xB3861AA7), BN_DEF(0xB84B4B36, 0xCF6A9483), 235 BN_DEF(0x1042A95D, 0x0E3179AB), BN_DEF(0xEE51D6CB, 0xC1B2AE91), 236 BN_DEF(0x7E9267AF, 0x348B1FD4), BN_DEF(0x0E2AE9CD, 0xCC6D241B), 237 BN_DEF(0x50B1DF82, 0xE1003E5C), BN_DEF(0xF6722D9E, 0x24943328), 238 BN_DEF(0xBE258FF3, 0xD74F9208), BN_DEF(0xAD44CFD2, 0xF71C35FD), 239 BN_DEF(0x7A035BF6, 0x85FFAE5B), BN_DEF(0xD31BF6B5, 0x7A262174), 240 BN_DEF(0x312F3F63, 0xF242DABB), BN_DEF(0xB6A8E122, 0xA7F09AB6), 241 BN_DEF(0xF92F8A1B, 0x98158536), BN_DEF(0xE69D218D, 0xF7CA8CD9), 242 BN_DEF(0xC71A026E, 0x28A5043C), BN_DEF(0x1D89CD91, 0x0105DF53), 243 BN_DEF(0x4533E63A, 0x94812704), BN_DEF(0xC06E0E68, 0x62633145), 244 BN_DEF(0x10B4611A, 0xE487ED51), BN_DEF(0xFFFFFFFF, 0x7FFFFFFF), 245 }; 246 247 /*- 248 * "6144-bit MODP Group" from RFC3526, Section 6. 249 * 250 * The prime is: 2^6144 - 2^6080 - 1 + 2^64 * { [2^6014 pi] + 929484 } 251 * 252 * RFC3526 specifies a generator of 2. 253 */ 254 static const BN_ULONG modp_6144_p[] = { 255 BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x6DCC4024, 0xE694F91E), 256 BN_DEF(0x0B7474D6, 0x12BF2D5B), BN_DEF(0x3F4860EE, 0x043E8F66), 257 BN_DEF(0x6E3C0468, 0x387FE8D7), BN_DEF(0x2EF29632, 0xDA56C9EC), 258 BN_DEF(0xA313D55C, 0xEB19CCB1), BN_DEF(0x8A1FBFF0, 0xF550AA3D), 259 BN_DEF(0xB7C5DA76, 0x06A1D58B), BN_DEF(0xF29BE328, 0xA79715EE), 260 BN_DEF(0x0F8037E0, 0x14CC5ED2), BN_DEF(0xBF48E1D8, 0xCC8F6D7E), 261 BN_DEF(0x2B4154AA, 0x4BD407B2), BN_DEF(0xFF585AC5, 0x0F1D45B7), 262 BN_DEF(0x36CC88BE, 0x23A97A7E), BN_DEF(0xBEC7E8F3, 0x59E7C97F), 263 BN_DEF(0x900B1C9E, 0xB5A84031), BN_DEF(0x46980C82, 0xD55E702F), 264 BN_DEF(0x6E74FEF6, 0xF482D7CE), BN_DEF(0xD1721D03, 0xF032EA15), 265 BN_DEF(0xC64B92EC, 0x5983CA01), BN_DEF(0x378CD2BF, 0x6FB8F401), 266 BN_DEF(0x2BD7AF42, 0x33205151), BN_DEF(0xE6CC254B, 0xDB7F1447), 267 BN_DEF(0xCED4BB1B, 0x44CE6CBA), BN_DEF(0xCF9B14ED, 0xDA3EDBEB), 268 BN_DEF(0x865A8918, 0x179727B0), BN_DEF(0x9027D831, 0xB06A53ED), 269 BN_DEF(0x413001AE, 0xE5DB382F), BN_DEF(0xAD9E530E, 0xF8FF9406), 270 BN_DEF(0x3DBA37BD, 0xC9751E76), BN_DEF(0x602646DE, 0xC1D4DCB2), 271 BN_DEF(0xD27C7026, 0x36C3FAB4), BN_DEF(0x34028492, 0x4DF435C9), 272 BN_DEF(0x90A6C08F, 0x86FFB7DC), BN_DEF(0x8D8FDDC1, 0x93B4EA98), 273 BN_DEF(0xD5B05AA9, 0xD0069127), BN_DEF(0x2170481C, 0xB81BDD76), 274 BN_DEF(0xCEE2D7AF, 0x1F612970), BN_DEF(0x515BE7ED, 0x233BA186), 275 BN_DEF(0xA090C3A2, 0x99B2964F), BN_DEF(0x4E6BC05D, 0x287C5947), 276 BN_DEF(0x1FBECAA6, 0x2E8EFC14), BN_DEF(0x04DE8EF9, 0xDBBBC2DB), 277 BN_DEF(0x2AD44CE8, 0x2583E9CA), BN_DEF(0xB6150BDA, 0x1A946834), 278 BN_DEF(0x6AF4E23C, 0x99C32718), BN_DEF(0xBDBA5B26, 0x88719A10), 279 BN_DEF(0xA787E6D7, 0x1A723C12), BN_DEF(0xA9210801, 0x4B82D120), 280 BN_DEF(0xE0FD108E, 0x43DB5BFC), BN_DEF(0x74E5AB31, 0x08E24FA0), 281 BN_DEF(0xBAD946E2, 0x770988C0), BN_DEF(0x7A615D6C, 0xBBE11757), 282 BN_DEF(0x177B200C, 0x521F2B18), BN_DEF(0x3EC86A64, 0xD8760273), 283 BN_DEF(0xD98A0864, 0xF12FFA06), BN_DEF(0x1AD2EE6B, 0xCEE3D226), 284 BN_DEF(0x4A25619D, 0x1E8C94E0), BN_DEF(0xDB0933D7, 0xABF5AE8C), 285 BN_DEF(0xA6E1E4C7, 0xB3970F85), BN_DEF(0x5D060C7D, 0x8AEA7157), 286 BN_DEF(0x58DBEF0A, 0xECFB8504), BN_DEF(0xDF1CBA64, 0xA85521AB), 287 BN_DEF(0x04507A33, 0xAD33170D), BN_DEF(0x8AAAC42D, 0x15728E5A), 288 BN_DEF(0x98FA0510, 0x15D22618), BN_DEF(0xEA956AE5, 0x3995497C), 289 BN_DEF(0x95581718, 0xDE2BCBF6), BN_DEF(0x6F4C52C9, 0xB5C55DF0), 290 BN_DEF(0xEC07A28F, 0x9B2783A2), BN_DEF(0x180E8603, 0xE39E772C), 291 BN_DEF(0x2E36CE3B, 0x32905E46), BN_DEF(0xCA18217C, 0xF1746C08), 292 BN_DEF(0x4ABC9804, 0x670C354E), BN_DEF(0x7096966D, 0x9ED52907), 293 BN_DEF(0x208552BB, 0x1C62F356), BN_DEF(0xDCA3AD96, 0x83655D23), 294 BN_DEF(0xFD24CF5F, 0x69163FA8), BN_DEF(0x1C55D39A, 0x98DA4836), 295 BN_DEF(0xA163BF05, 0xC2007CB8), BN_DEF(0xECE45B3D, 0x49286651), 296 BN_DEF(0x7C4B1FE6, 0xAE9F2411), BN_DEF(0x5A899FA5, 0xEE386BFB), 297 BN_DEF(0xF406B7ED, 0x0BFF5CB6), BN_DEF(0xA637ED6B, 0xF44C42E9), 298 BN_DEF(0x625E7EC6, 0xE485B576), BN_DEF(0x6D51C245, 0x4FE1356D), 299 BN_DEF(0xF25F1437, 0x302B0A6D), BN_DEF(0xCD3A431B, 0xEF9519B3), 300 BN_DEF(0x8E3404DD, 0x514A0879), BN_DEF(0x3B139B22, 0x020BBEA6), 301 BN_DEF(0x8A67CC74, 0x29024E08), BN_DEF(0x80DC1CD1, 0xC4C6628B), 302 BN_DEF(0x2168C234, 0xC90FDAA2), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF) 303 }; 304 /* q = (p - 1) / 2 */ 305 static const BN_ULONG modp_6144_q[] = { 306 BN_DEF(0xFFFFFFFF, 0x7FFFFFFF), BN_DEF(0x36E62012, 0x734A7C8F), 307 BN_DEF(0x85BA3A6B, 0x095F96AD), BN_DEF(0x1FA43077, 0x021F47B3), 308 BN_DEF(0xB71E0234, 0x1C3FF46B), BN_DEF(0x17794B19, 0x6D2B64F6), 309 BN_DEF(0xD189EAAE, 0x758CE658), BN_DEF(0xC50FDFF8, 0x7AA8551E), 310 BN_DEF(0xDBE2ED3B, 0x0350EAC5), BN_DEF(0x794DF194, 0x53CB8AF7), 311 BN_DEF(0x07C01BF0, 0x0A662F69), BN_DEF(0x5FA470EC, 0x6647B6BF), 312 BN_DEF(0x15A0AA55, 0xA5EA03D9), BN_DEF(0xFFAC2D62, 0x078EA2DB), 313 BN_DEF(0x1B66445F, 0x91D4BD3F), BN_DEF(0xDF63F479, 0x2CF3E4BF), 314 BN_DEF(0xC8058E4F, 0x5AD42018), BN_DEF(0xA34C0641, 0x6AAF3817), 315 BN_DEF(0x373A7F7B, 0xFA416BE7), BN_DEF(0xE8B90E81, 0x7819750A), 316 BN_DEF(0xE325C976, 0xACC1E500), BN_DEF(0x9BC6695F, 0x37DC7A00), 317 BN_DEF(0x95EBD7A1, 0x999028A8), BN_DEF(0xF36612A5, 0xEDBF8A23), 318 BN_DEF(0x676A5D8D, 0xA267365D), BN_DEF(0xE7CD8A76, 0x6D1F6DF5), 319 BN_DEF(0x432D448C, 0x8BCB93D8), BN_DEF(0xC813EC18, 0x583529F6), 320 BN_DEF(0xA09800D7, 0x72ED9C17), BN_DEF(0x56CF2987, 0xFC7FCA03), 321 BN_DEF(0x1EDD1BDE, 0x64BA8F3B), BN_DEF(0x3013236F, 0x60EA6E59), 322 BN_DEF(0x693E3813, 0x1B61FD5A), BN_DEF(0x9A014249, 0xA6FA1AE4), 323 BN_DEF(0x48536047, 0xC37FDBEE), BN_DEF(0x46C7EEE0, 0xC9DA754C), 324 BN_DEF(0xEAD82D54, 0x68034893), BN_DEF(0x10B8240E, 0xDC0DEEBB), 325 BN_DEF(0x67716BD7, 0x8FB094B8), BN_DEF(0x28ADF3F6, 0x119DD0C3), 326 BN_DEF(0xD04861D1, 0xCCD94B27), BN_DEF(0xA735E02E, 0x143E2CA3), 327 BN_DEF(0x0FDF6553, 0x97477E0A), BN_DEF(0x826F477C, 0x6DDDE16D), 328 BN_DEF(0x156A2674, 0x12C1F4E5), BN_DEF(0x5B0A85ED, 0x0D4A341A), 329 BN_DEF(0x357A711E, 0x4CE1938C), BN_DEF(0x5EDD2D93, 0xC438CD08), 330 BN_DEF(0x53C3F36B, 0x8D391E09), BN_DEF(0x54908400, 0x25C16890), 331 BN_DEF(0x707E8847, 0xA1EDADFE), BN_DEF(0x3A72D598, 0x047127D0), 332 BN_DEF(0x5D6CA371, 0x3B84C460), BN_DEF(0xBD30AEB6, 0x5DF08BAB), 333 BN_DEF(0x0BBD9006, 0x290F958C), BN_DEF(0x9F643532, 0x6C3B0139), 334 BN_DEF(0x6CC50432, 0xF897FD03), BN_DEF(0x0D697735, 0xE771E913), 335 BN_DEF(0x2512B0CE, 0x8F464A70), BN_DEF(0x6D8499EB, 0xD5FAD746), 336 BN_DEF(0xD370F263, 0xD9CB87C2), BN_DEF(0xAE83063E, 0x457538AB), 337 BN_DEF(0x2C6DF785, 0x767DC282), BN_DEF(0xEF8E5D32, 0xD42A90D5), 338 BN_DEF(0x82283D19, 0xD6998B86), BN_DEF(0x45556216, 0x0AB9472D), 339 BN_DEF(0x4C7D0288, 0x8AE9130C), BN_DEF(0x754AB572, 0x1CCAA4BE), 340 BN_DEF(0x4AAC0B8C, 0xEF15E5FB), BN_DEF(0x37A62964, 0xDAE2AEF8), 341 BN_DEF(0x7603D147, 0xCD93C1D1), BN_DEF(0x0C074301, 0xF1CF3B96), 342 BN_DEF(0x171B671D, 0x19482F23), BN_DEF(0x650C10BE, 0x78BA3604), 343 BN_DEF(0x255E4C02, 0xB3861AA7), BN_DEF(0xB84B4B36, 0xCF6A9483), 344 BN_DEF(0x1042A95D, 0x0E3179AB), BN_DEF(0xEE51D6CB, 0xC1B2AE91), 345 BN_DEF(0x7E9267AF, 0x348B1FD4), BN_DEF(0x0E2AE9CD, 0xCC6D241B), 346 BN_DEF(0x50B1DF82, 0xE1003E5C), BN_DEF(0xF6722D9E, 0x24943328), 347 BN_DEF(0xBE258FF3, 0xD74F9208), BN_DEF(0xAD44CFD2, 0xF71C35FD), 348 BN_DEF(0x7A035BF6, 0x85FFAE5B), BN_DEF(0xD31BF6B5, 0x7A262174), 349 BN_DEF(0x312F3F63, 0xF242DABB), BN_DEF(0xB6A8E122, 0xA7F09AB6), 350 BN_DEF(0xF92F8A1B, 0x98158536), BN_DEF(0xE69D218D, 0xF7CA8CD9), 351 BN_DEF(0xC71A026E, 0x28A5043C), BN_DEF(0x1D89CD91, 0x0105DF53), 352 BN_DEF(0x4533E63A, 0x94812704), BN_DEF(0xC06E0E68, 0x62633145), 353 BN_DEF(0x10B4611A, 0xE487ED51), BN_DEF(0xFFFFFFFF, 0x7FFFFFFF), 354 }; 355 356 /* 357 * "8192-bit MODP Group" from RFC3526, Section 7. 358 * 359 * The prime is: 2^8192 - 2^8128 - 1 + 2^64 * { [2^8062 pi] + 4743158 } 360 * 361 * RFC3526 specifies a generator of 2. 362 */ 363 static const BN_ULONG modp_8192_p[] = { 364 BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x98EDD3DF, 0x60C980DD), 365 BN_DEF(0x80B96E71, 0xC81F56E8), BN_DEF(0x765694DF, 0x9E3050E2), 366 BN_DEF(0x5677E9AA, 0x9558E447), BN_DEF(0xFC026E47, 0xC9190DA6), 367 BN_DEF(0xD5EE382B, 0x889A002E), BN_DEF(0x481C6CD7, 0x4009438B), 368 BN_DEF(0xEB879F92, 0x359046F4), BN_DEF(0x1ECFA268, 0xFAF36BC3), 369 BN_DEF(0x7EE74D73, 0xB1D510BD), BN_DEF(0x5DED7EA1, 0xF9AB4819), 370 BN_DEF(0x0846851D, 0x64F31CC5), BN_DEF(0xA0255DC1, 0x4597E899), 371 BN_DEF(0x74AB6A36, 0xDF310EE0), BN_DEF(0x3F44F82D, 0x6D2A13F8), 372 BN_DEF(0xB3A278A6, 0x062B3CF5), BN_DEF(0xED5BDD3A, 0x79683303), 373 BN_DEF(0xA2C087E8, 0xFA9D4B7F), BN_DEF(0x2F8385DD, 0x4BCBC886), 374 BN_DEF(0x6CEA306B, 0x3473FC64), BN_DEF(0x1A23F0C7, 0x13EB57A8), 375 BN_DEF(0xA4037C07, 0x22222E04), BN_DEF(0xFC848AD9, 0xE3FDB8BE), 376 BN_DEF(0xE39D652D, 0x238F16CB), BN_DEF(0x2BF1C978, 0x3423B474), 377 BN_DEF(0x5AE4F568, 0x3AAB639C), BN_DEF(0x6BA42466, 0x2576F693), 378 BN_DEF(0x8AFC47ED, 0x741FA7BF), BN_DEF(0x8D9DD300, 0x3BC832B6), 379 BN_DEF(0x73B931BA, 0xD8BEC4D0), BN_DEF(0xA932DF8C, 0x38777CB6), 380 BN_DEF(0x12FEE5E4, 0x74A3926F), BN_DEF(0x6DBE1159, 0xE694F91E), 381 BN_DEF(0x0B7474D6, 0x12BF2D5B), BN_DEF(0x3F4860EE, 0x043E8F66), 382 BN_DEF(0x6E3C0468, 0x387FE8D7), BN_DEF(0x2EF29632, 0xDA56C9EC), 383 BN_DEF(0xA313D55C, 0xEB19CCB1), BN_DEF(0x8A1FBFF0, 0xF550AA3D), 384 BN_DEF(0xB7C5DA76, 0x06A1D58B), BN_DEF(0xF29BE328, 0xA79715EE), 385 BN_DEF(0x0F8037E0, 0x14CC5ED2), BN_DEF(0xBF48E1D8, 0xCC8F6D7E), 386 BN_DEF(0x2B4154AA, 0x4BD407B2), BN_DEF(0xFF585AC5, 0x0F1D45B7), 387 BN_DEF(0x36CC88BE, 0x23A97A7E), BN_DEF(0xBEC7E8F3, 0x59E7C97F), 388 BN_DEF(0x900B1C9E, 0xB5A84031), BN_DEF(0x46980C82, 0xD55E702F), 389 BN_DEF(0x6E74FEF6, 0xF482D7CE), BN_DEF(0xD1721D03, 0xF032EA15), 390 BN_DEF(0xC64B92EC, 0x5983CA01), BN_DEF(0x378CD2BF, 0x6FB8F401), 391 BN_DEF(0x2BD7AF42, 0x33205151), BN_DEF(0xE6CC254B, 0xDB7F1447), 392 BN_DEF(0xCED4BB1B, 0x44CE6CBA), BN_DEF(0xCF9B14ED, 0xDA3EDBEB), 393 BN_DEF(0x865A8918, 0x179727B0), BN_DEF(0x9027D831, 0xB06A53ED), 394 BN_DEF(0x413001AE, 0xE5DB382F), BN_DEF(0xAD9E530E, 0xF8FF9406), 395 BN_DEF(0x3DBA37BD, 0xC9751E76), BN_DEF(0x602646DE, 0xC1D4DCB2), 396 BN_DEF(0xD27C7026, 0x36C3FAB4), BN_DEF(0x34028492, 0x4DF435C9), 397 BN_DEF(0x90A6C08F, 0x86FFB7DC), BN_DEF(0x8D8FDDC1, 0x93B4EA98), 398 BN_DEF(0xD5B05AA9, 0xD0069127), BN_DEF(0x2170481C, 0xB81BDD76), 399 BN_DEF(0xCEE2D7AF, 0x1F612970), BN_DEF(0x515BE7ED, 0x233BA186), 400 BN_DEF(0xA090C3A2, 0x99B2964F), BN_DEF(0x4E6BC05D, 0x287C5947), 401 BN_DEF(0x1FBECAA6, 0x2E8EFC14), BN_DEF(0x04DE8EF9, 0xDBBBC2DB), 402 BN_DEF(0x2AD44CE8, 0x2583E9CA), BN_DEF(0xB6150BDA, 0x1A946834), 403 BN_DEF(0x6AF4E23C, 0x99C32718), BN_DEF(0xBDBA5B26, 0x88719A10), 404 BN_DEF(0xA787E6D7, 0x1A723C12), BN_DEF(0xA9210801, 0x4B82D120), 405 BN_DEF(0xE0FD108E, 0x43DB5BFC), BN_DEF(0x74E5AB31, 0x08E24FA0), 406 BN_DEF(0xBAD946E2, 0x770988C0), BN_DEF(0x7A615D6C, 0xBBE11757), 407 BN_DEF(0x177B200C, 0x521F2B18), BN_DEF(0x3EC86A64, 0xD8760273), 408 BN_DEF(0xD98A0864, 0xF12FFA06), BN_DEF(0x1AD2EE6B, 0xCEE3D226), 409 BN_DEF(0x4A25619D, 0x1E8C94E0), BN_DEF(0xDB0933D7, 0xABF5AE8C), 410 BN_DEF(0xA6E1E4C7, 0xB3970F85), BN_DEF(0x5D060C7D, 0x8AEA7157), 411 BN_DEF(0x58DBEF0A, 0xECFB8504), BN_DEF(0xDF1CBA64, 0xA85521AB), 412 BN_DEF(0x04507A33, 0xAD33170D), BN_DEF(0x8AAAC42D, 0x15728E5A), 413 BN_DEF(0x98FA0510, 0x15D22618), BN_DEF(0xEA956AE5, 0x3995497C), 414 BN_DEF(0x95581718, 0xDE2BCBF6), BN_DEF(0x6F4C52C9, 0xB5C55DF0), 415 BN_DEF(0xEC07A28F, 0x9B2783A2), BN_DEF(0x180E8603, 0xE39E772C), 416 BN_DEF(0x2E36CE3B, 0x32905E46), BN_DEF(0xCA18217C, 0xF1746C08), 417 BN_DEF(0x4ABC9804, 0x670C354E), BN_DEF(0x7096966D, 0x9ED52907), 418 BN_DEF(0x208552BB, 0x1C62F356), BN_DEF(0xDCA3AD96, 0x83655D23), 419 BN_DEF(0xFD24CF5F, 0x69163FA8), BN_DEF(0x1C55D39A, 0x98DA4836), 420 BN_DEF(0xA163BF05, 0xC2007CB8), BN_DEF(0xECE45B3D, 0x49286651), 421 BN_DEF(0x7C4B1FE6, 0xAE9F2411), BN_DEF(0x5A899FA5, 0xEE386BFB), 422 BN_DEF(0xF406B7ED, 0x0BFF5CB6), BN_DEF(0xA637ED6B, 0xF44C42E9), 423 BN_DEF(0x625E7EC6, 0xE485B576), BN_DEF(0x6D51C245, 0x4FE1356D), 424 BN_DEF(0xF25F1437, 0x302B0A6D), BN_DEF(0xCD3A431B, 0xEF9519B3), 425 BN_DEF(0x8E3404DD, 0x514A0879), BN_DEF(0x3B139B22, 0x020BBEA6), 426 BN_DEF(0x8A67CC74, 0x29024E08), BN_DEF(0x80DC1CD1, 0xC4C6628B), 427 BN_DEF(0x2168C234, 0xC90FDAA2), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF) 428 }; 429 /* q = (p - 1) / 2 */ 430 static const BN_ULONG modp_8192_q[] = { 431 BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0xCC76E9EF, 0xB064C06E), 432 BN_DEF(0x405CB738, 0xE40FAB74), BN_DEF(0x3B2B4A6F, 0x4F182871), 433 BN_DEF(0xAB3BF4D5, 0xCAAC7223), BN_DEF(0x7E013723, 0xE48C86D3), 434 BN_DEF(0x6AF71C15, 0xC44D0017), BN_DEF(0xA40E366B, 0x2004A1C5), 435 BN_DEF(0x75C3CFC9, 0x1AC8237A), BN_DEF(0x8F67D134, 0xFD79B5E1), 436 BN_DEF(0xBF73A6B9, 0xD8EA885E), BN_DEF(0xAEF6BF50, 0xFCD5A40C), 437 BN_DEF(0x8423428E, 0xB2798E62), BN_DEF(0xD012AEE0, 0x22CBF44C), 438 BN_DEF(0x3A55B51B, 0xEF988770), BN_DEF(0x1FA27C16, 0x369509FC), 439 BN_DEF(0xD9D13C53, 0x03159E7A), BN_DEF(0xF6ADEE9D, 0x3CB41981), 440 BN_DEF(0xD16043F4, 0xFD4EA5BF), BN_DEF(0x17C1C2EE, 0xA5E5E443), 441 BN_DEF(0x36751835, 0x9A39FE32), BN_DEF(0x0D11F863, 0x89F5ABD4), 442 BN_DEF(0x5201BE03, 0x91111702), BN_DEF(0x7E42456C, 0xF1FEDC5F), 443 BN_DEF(0xF1CEB296, 0x11C78B65), BN_DEF(0x15F8E4BC, 0x1A11DA3A), 444 BN_DEF(0x2D727AB4, 0x1D55B1CE), BN_DEF(0xB5D21233, 0x92BB7B49), 445 BN_DEF(0xC57E23F6, 0x3A0FD3DF), BN_DEF(0x46CEE980, 0x1DE4195B), 446 BN_DEF(0x39DC98DD, 0x6C5F6268), BN_DEF(0x54996FC6, 0x1C3BBE5B), 447 BN_DEF(0x897F72F2, 0xBA51C937), BN_DEF(0x36DF08AC, 0x734A7C8F), 448 BN_DEF(0x85BA3A6B, 0x095F96AD), BN_DEF(0x1FA43077, 0x021F47B3), 449 BN_DEF(0xB71E0234, 0x1C3FF46B), BN_DEF(0x17794B19, 0x6D2B64F6), 450 BN_DEF(0xD189EAAE, 0x758CE658), BN_DEF(0xC50FDFF8, 0x7AA8551E), 451 BN_DEF(0xDBE2ED3B, 0x0350EAC5), BN_DEF(0x794DF194, 0x53CB8AF7), 452 BN_DEF(0x07C01BF0, 0x0A662F69), BN_DEF(0x5FA470EC, 0x6647B6BF), 453 BN_DEF(0x15A0AA55, 0xA5EA03D9), BN_DEF(0xFFAC2D62, 0x078EA2DB), 454 BN_DEF(0x1B66445F, 0x91D4BD3F), BN_DEF(0xDF63F479, 0x2CF3E4BF), 455 BN_DEF(0xC8058E4F, 0x5AD42018), BN_DEF(0xA34C0641, 0x6AAF3817), 456 BN_DEF(0x373A7F7B, 0xFA416BE7), BN_DEF(0xE8B90E81, 0x7819750A), 457 BN_DEF(0xE325C976, 0xACC1E500), BN_DEF(0x9BC6695F, 0x37DC7A00), 458 BN_DEF(0x95EBD7A1, 0x999028A8), BN_DEF(0xF36612A5, 0xEDBF8A23), 459 BN_DEF(0x676A5D8D, 0xA267365D), BN_DEF(0xE7CD8A76, 0x6D1F6DF5), 460 BN_DEF(0x432D448C, 0x8BCB93D8), BN_DEF(0xC813EC18, 0x583529F6), 461 BN_DEF(0xA09800D7, 0x72ED9C17), BN_DEF(0x56CF2987, 0xFC7FCA03), 462 BN_DEF(0x1EDD1BDE, 0x64BA8F3B), BN_DEF(0x3013236F, 0x60EA6E59), 463 BN_DEF(0x693E3813, 0x1B61FD5A), BN_DEF(0x9A014249, 0xA6FA1AE4), 464 BN_DEF(0x48536047, 0xC37FDBEE), BN_DEF(0x46C7EEE0, 0xC9DA754C), 465 BN_DEF(0xEAD82D54, 0x68034893), BN_DEF(0x10B8240E, 0xDC0DEEBB), 466 BN_DEF(0x67716BD7, 0x8FB094B8), BN_DEF(0x28ADF3F6, 0x119DD0C3), 467 BN_DEF(0xD04861D1, 0xCCD94B27), BN_DEF(0xA735E02E, 0x143E2CA3), 468 BN_DEF(0x0FDF6553, 0x97477E0A), BN_DEF(0x826F477C, 0x6DDDE16D), 469 BN_DEF(0x156A2674, 0x12C1F4E5), BN_DEF(0x5B0A85ED, 0x0D4A341A), 470 BN_DEF(0x357A711E, 0x4CE1938C), BN_DEF(0x5EDD2D93, 0xC438CD08), 471 BN_DEF(0x53C3F36B, 0x8D391E09), BN_DEF(0x54908400, 0x25C16890), 472 BN_DEF(0x707E8847, 0xA1EDADFE), BN_DEF(0x3A72D598, 0x047127D0), 473 BN_DEF(0x5D6CA371, 0x3B84C460), BN_DEF(0xBD30AEB6, 0x5DF08BAB), 474 BN_DEF(0x0BBD9006, 0x290F958C), BN_DEF(0x9F643532, 0x6C3B0139), 475 BN_DEF(0x6CC50432, 0xF897FD03), BN_DEF(0x0D697735, 0xE771E913), 476 BN_DEF(0x2512B0CE, 0x8F464A70), BN_DEF(0x6D8499EB, 0xD5FAD746), 477 BN_DEF(0xD370F263, 0xD9CB87C2), BN_DEF(0xAE83063E, 0x457538AB), 478 BN_DEF(0x2C6DF785, 0x767DC282), BN_DEF(0xEF8E5D32, 0xD42A90D5), 479 BN_DEF(0x82283D19, 0xD6998B86), BN_DEF(0x45556216, 0x0AB9472D), 480 BN_DEF(0x4C7D0288, 0x8AE9130C), BN_DEF(0x754AB572, 0x1CCAA4BE), 481 BN_DEF(0x4AAC0B8C, 0xEF15E5FB), BN_DEF(0x37A62964, 0xDAE2AEF8), 482 BN_DEF(0x7603D147, 0xCD93C1D1), BN_DEF(0x0C074301, 0xF1CF3B96), 483 BN_DEF(0x171B671D, 0x19482F23), BN_DEF(0x650C10BE, 0x78BA3604), 484 BN_DEF(0x255E4C02, 0xB3861AA7), BN_DEF(0xB84B4B36, 0xCF6A9483), 485 BN_DEF(0x1042A95D, 0x0E3179AB), BN_DEF(0xEE51D6CB, 0xC1B2AE91), 486 BN_DEF(0x7E9267AF, 0x348B1FD4), BN_DEF(0x0E2AE9CD, 0xCC6D241B), 487 BN_DEF(0x50B1DF82, 0xE1003E5C), BN_DEF(0xF6722D9E, 0x24943328), 488 BN_DEF(0xBE258FF3, 0xD74F9208), BN_DEF(0xAD44CFD2, 0xF71C35FD), 489 BN_DEF(0x7A035BF6, 0x85FFAE5B), BN_DEF(0xD31BF6B5, 0x7A262174), 490 BN_DEF(0x312F3F63, 0xF242DABB), BN_DEF(0xB6A8E122, 0xA7F09AB6), 491 BN_DEF(0xF92F8A1B, 0x98158536), BN_DEF(0xE69D218D, 0xF7CA8CD9), 492 BN_DEF(0xC71A026E, 0x28A5043C), BN_DEF(0x1D89CD91, 0x0105DF53), 493 BN_DEF(0x4533E63A, 0x94812704), BN_DEF(0xC06E0E68, 0x62633145), 494 BN_DEF(0x10B4611A, 0xE487ED51), BN_DEF(0xFFFFFFFF, 0x7FFFFFFF), 495 }; 496 497 /* DH parameters from RFC5114 */ 498 static const BN_ULONG dh1024_160_p[] = { 499 BN_DEF(0x2E4A4371, 0xDF1FB2BC), BN_DEF(0x6D4DA708, 0xE68CFDA7), 500 BN_DEF(0x365C1A65, 0x45BF37DF), BN_DEF(0x0DC8B4BD, 0xA151AF5F), 501 BN_DEF(0xF55BCCC0, 0xFAA31A4F), BN_DEF(0xE5644738, 0x4EFFD6FA), 502 BN_DEF(0x219A7372, 0x98488E9C), BN_DEF(0x90C4BD70, 0xACCBDD7D), 503 BN_DEF(0xD49B83BF, 0x24975C3C), BN_DEF(0xA9061123, 0x13ECB4AE), 504 BN_DEF(0x2EE652C0, 0x9838EF1E), BN_DEF(0x75A23D18, 0x6073E286), 505 BN_DEF(0x52D23B61, 0x9A6A9DCA), BN_DEF(0xFB06A3C6, 0x52C99FBC), 506 BN_DEF(0xAE5D54EC, 0xDE92DE5E), BN_DEF(0xA080E01D, 0xB10B8F96) 507 }; 508 static const BN_ULONG dh1024_160_q[] = { 509 BN_DEF(0x49462353, 0x64B7CB9D), BN_DEF(0x8ABA4E7D, 0x81A8DF27), 510 (BN_ULONG)0xF518AA87 511 }; 512 static const BN_ULONG dh1024_160_g[] = { 513 BN_DEF(0x22B3B2E5, 0x855E6EEB), BN_DEF(0xF97C2A24, 0x858F4DCE), 514 BN_DEF(0x18D08BC8, 0x2D779D59), BN_DEF(0x8E73AFA3, 0xD662A4D1), 515 BN_DEF(0x69B6A28A, 0x1DBF0A01), BN_DEF(0x7A091F53, 0xA6A24C08), 516 BN_DEF(0x63F80A76, 0x909D0D22), BN_DEF(0xB9A92EE1, 0xD7FBD7D3), 517 BN_DEF(0x9E2749F4, 0x5E91547F), BN_DEF(0xB01B886A, 0x160217B4), 518 BN_DEF(0x5504F213, 0x777E690F), BN_DEF(0x5C41564B, 0x266FEA1E), 519 BN_DEF(0x14266D31, 0xD6406CFF), BN_DEF(0x58AC507F, 0xF8104DD2), 520 BN_DEF(0xEFB99905, 0x6765A442), BN_DEF(0xC3FD3412, 0xA4D1CBD5) 521 }; 522 523 static const BN_ULONG dh2048_224_p[] = { 524 BN_DEF(0x0C10E64F, 0x0AC4DFFE), BN_DEF(0x4E71B81C, 0xCF9DE538), 525 BN_DEF(0xFFA31F71, 0x7EF363E2), BN_DEF(0x6B8E75B9, 0xE3FB73C1), 526 BN_DEF(0x4BA80A29, 0xC9B53DCF), BN_DEF(0x16E79763, 0x23F10B0E), 527 BN_DEF(0x13042E9B, 0xC52172E4), BN_DEF(0xC928B2B9, 0xBE60E69C), 528 BN_DEF(0xB9E587E8, 0x80CD86A1), BN_DEF(0x98C641A4, 0x315D75E1), 529 BN_DEF(0x44328387, 0xCDF93ACC), BN_DEF(0xDC0A486D, 0x15987D9A), 530 BN_DEF(0x1FD5A074, 0x7310F712), BN_DEF(0xDE31EFDC, 0x278273C7), 531 BN_DEF(0x415D9330, 0x1602E714), BN_DEF(0xBC8985DB, 0x81286130), 532 BN_DEF(0x70918836, 0xB3BF8A31), BN_DEF(0xB9C49708, 0x6A00E0A0), 533 BN_DEF(0x8BBC27BE, 0xC6BA0B2C), BN_DEF(0xED34DBF6, 0xC9F98D11), 534 BN_DEF(0xB6C12207, 0x7AD5B7D0), BN_DEF(0x55B7394B, 0xD91E8FEF), 535 BN_DEF(0xEFDA4DF8, 0x9037C9ED), BN_DEF(0xAD6AC212, 0x6D3F8152), 536 BN_DEF(0x1274A0A6, 0x1DE6B85A), BN_DEF(0x309C180E, 0xEB3D688A), 537 BN_DEF(0x7BA1DF15, 0xAF9A3C40), BN_DEF(0xF95A56DB, 0xE6FA141D), 538 BN_DEF(0xB61D0A75, 0xB54B1597), BN_DEF(0x683B9FD1, 0xA20D64E5), 539 BN_DEF(0x9559C51F, 0xD660FAA7), BN_DEF(0x9123A9D0, 0xAD107E1E) 540 }; 541 static const BN_ULONG dh2048_224_q[] = { 542 BN_DEF(0xB36371EB, 0xBF389A99), BN_DEF(0x4738CEBC, 0x1F80535A), 543 BN_DEF(0x99717710, 0xC58D93FE), (BN_ULONG)0x801C0D34 544 }; 545 static const BN_ULONG dh2048_224_g[] = { 546 BN_DEF(0x191F2BFA, 0x84B890D3), BN_DEF(0x2A7065B3, 0x81BC087F), 547 BN_DEF(0xF6EC0179, 0x19C418E1), BN_DEF(0x71CFFF4C, 0x7B5A0F1C), 548 BN_DEF(0x9B6AA4BD, 0xEDFE72FE), BN_DEF(0x94B30269, 0x81E1BCFE), 549 BN_DEF(0x8D6C0191, 0x566AFBB4), BN_DEF(0x409D13CD, 0xB539CCE3), 550 BN_DEF(0x5F2FF381, 0x6AA21E7F), BN_DEF(0x770589EF, 0xD9E263E4), 551 BN_DEF(0xD19963DD, 0x10E183ED), BN_DEF(0x150B8EEB, 0xB70A8137), 552 BN_DEF(0x28C8F8AC, 0x051AE3D4), BN_DEF(0x0C1AB15B, 0xBB77A86F), 553 BN_DEF(0x16A330EF, 0x6E3025E3), BN_DEF(0xD6F83456, 0x19529A45), 554 BN_DEF(0x118E98D1, 0xF180EB34), BN_DEF(0x50717CBE, 0xB5F6C6B2), 555 BN_DEF(0xDA7460CD, 0x09939D54), BN_DEF(0x22EA1ED4, 0xE2471504), 556 BN_DEF(0x521BC98A, 0xB8A762D0), BN_DEF(0x5AC1348B, 0xF4D02727), 557 BN_DEF(0x1999024A, 0xC1766910), BN_DEF(0xA8D66AD7, 0xBE5E9001), 558 BN_DEF(0x620A8652, 0xC57DB17C), BN_DEF(0x00C29F52, 0xAB739D77), 559 BN_DEF(0xA70C4AFA, 0xDD921F01), BN_DEF(0x10B9A6F0, 0xA6824A4E), 560 BN_DEF(0xCFE4FFE3, 0x74866A08), BN_DEF(0x89998CAF, 0x6CDEBE7B), 561 BN_DEF(0x8FFDAC50, 0x9DF30B5C), BN_DEF(0x4F2D9AE3, 0xAC4032EF) 562 }; 563 564 static const BN_ULONG dh2048_256_p[] = { 565 BN_DEF(0x1E1A1597, 0xDB094AE9), BN_DEF(0xD7EF09CA, 0x693877FA), 566 BN_DEF(0x6E11715F, 0x6116D227), BN_DEF(0xC198AF12, 0xA4B54330), 567 BN_DEF(0xD7014103, 0x75F26375), BN_DEF(0x54E710C3, 0xC3A3960A), 568 BN_DEF(0xBD0BE621, 0xDED4010A), BN_DEF(0x89962856, 0xC0B857F6), 569 BN_DEF(0x71506026, 0xB3CA3F79), BN_DEF(0xE6B486F6, 0x1CCACB83), 570 BN_DEF(0x14056425, 0x67E144E5), BN_DEF(0xA41825D9, 0xF6A167B5), 571 BN_DEF(0x96524D8E, 0x3AD83477), BN_DEF(0x51BFA4AB, 0xF13C6D9A), 572 BN_DEF(0x35488A0E, 0x2D525267), BN_DEF(0xCAA6B790, 0xB63ACAE1), 573 BN_DEF(0x81B23F76, 0x4FDB70C5), BN_DEF(0x12307F5C, 0xBC39A0BF), 574 BN_DEF(0xB1E59BB8, 0xB941F54E), BN_DEF(0xD45F9088, 0x6C5BFC11), 575 BN_DEF(0x4275BF7B, 0x22E0B1EF), BN_DEF(0x5B4758C0, 0x91F9E672), 576 BN_DEF(0x6BCF67ED, 0x5A8A9D30), BN_DEF(0x97517ABD, 0x209E0C64), 577 BN_DEF(0x830E9A7C, 0x3BF4296D), BN_DEF(0x34096FAA, 0x16C3D911), 578 BN_DEF(0x61B2AA30, 0xFAF7DF45), BN_DEF(0xD61957D4, 0xE00DF8F1), 579 BN_DEF(0x435E3B00, 0x5D2CEED4), BN_DEF(0x660DD0F2, 0x8CEEF608), 580 BN_DEF(0x65195999, 0xFFBBD19C), BN_DEF(0xB4B6663C, 0x87A8E61D) 581 }; 582 static const BN_ULONG dh2048_256_q[] = { 583 BN_DEF(0x64F5FBD3, 0xA308B0FE), BN_DEF(0x1EB3750B, 0x99B1A47D), 584 BN_DEF(0x40129DA2, 0xB4479976), BN_DEF(0xA709A097, 0x8CF83642) 585 }; 586 static const BN_ULONG dh2048_256_g[] = { 587 BN_DEF(0x6CC41659, 0x664B4C0F), BN_DEF(0xEF98C582, 0x5E2327CF), 588 BN_DEF(0xD4795451, 0xD647D148), BN_DEF(0x90F00EF8, 0x2F630784), 589 BN_DEF(0x1DB246C3, 0x184B523D), BN_DEF(0xCDC67EB6, 0xC7891428), 590 BN_DEF(0x0DF92B52, 0x7FD02837), BN_DEF(0x64E0EC37, 0xB3353BBB), 591 BN_DEF(0x57CD0915, 0xECD06E15), BN_DEF(0xDF016199, 0xB7D2BBD2), 592 BN_DEF(0x052588B9, 0xC8484B1E), BN_DEF(0x13D3FE14, 0xDB2A3B73), 593 BN_DEF(0xD182EA0A, 0xD052B985), BN_DEF(0xE83B9C80, 0xA4BD1BFF), 594 BN_DEF(0xFB3F2E55, 0xDFC967C1), BN_DEF(0x767164E1, 0xB5045AF2), 595 BN_DEF(0x6F2F9193, 0x1D14348F), BN_DEF(0x428EBC83, 0x64E67982), 596 BN_DEF(0x82D6ED38, 0x8AC376D2), BN_DEF(0xAAB8A862, 0x777DE62A), 597 BN_DEF(0xE9EC144B, 0xDDF463E5), BN_DEF(0xC77A57F2, 0x0196F931), 598 BN_DEF(0x41000A65, 0xA55AE313), BN_DEF(0xC28CBB18, 0x901228F8), 599 BN_DEF(0x7E8C6F62, 0xBC3773BF), BN_DEF(0x0C6B47B1, 0xBE3A6C1B), 600 BN_DEF(0xAC0BB555, 0xFF4FED4A), BN_DEF(0x77BE463F, 0x10DBC150), 601 BN_DEF(0x1A0BA125, 0x07F4793A), BN_DEF(0x21EF2054, 0x4CA7B18F), 602 BN_DEF(0x60EDBD48, 0x2E775066), BN_DEF(0x73134D0B, 0x3FB32C9B) 603 }; 604 605 /* Primes from RFC 7919 */ 606 static const BN_ULONG ffdhe2048_p[] = { 607 BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x61285C97, 0x886B4238), 608 BN_DEF(0xC1B2EFFA, 0xC6F34A26), BN_DEF(0x7D1683B2, 0xC58EF183), 609 BN_DEF(0x2EC22005, 0x3BB5FCBC), BN_DEF(0x4C6FAD73, 0xC3FE3B1B), 610 BN_DEF(0xEEF28183, 0x8E4F1232), BN_DEF(0xE98583FF, 0x9172FE9C), 611 BN_DEF(0x28342F61, 0xC03404CD), BN_DEF(0xCDF7E2EC, 0x9E02FCE1), 612 BN_DEF(0xEE0A6D70, 0x0B07A7C8), BN_DEF(0x6372BB19, 0xAE56EDE7), 613 BN_DEF(0xDE394DF4, 0x1D4F42A3), BN_DEF(0x60D7F468, 0xB96ADAB7), 614 BN_DEF(0xB2C8E3FB, 0xD108A94B), BN_DEF(0xB324FB61, 0xBC0AB182), 615 BN_DEF(0x483A797A, 0x30ACCA4F), BN_DEF(0x36ADE735, 0x1DF158A1), 616 BN_DEF(0xF3EFE872, 0xE2A689DA), BN_DEF(0xE0E68B77, 0x984F0C70), 617 BN_DEF(0x7F57C935, 0xB557135E), BN_DEF(0x3DED1AF3, 0x85636555), 618 BN_DEF(0x5F066ED0, 0x2433F51F), BN_DEF(0xD5FD6561, 0xD3DF1ED5), 619 BN_DEF(0xAEC4617A, 0xF681B202), BN_DEF(0x630C75D8, 0x7D2FE363), 620 BN_DEF(0x249B3EF9, 0xCC939DCE), BN_DEF(0x146433FB, 0xA9E13641), 621 BN_DEF(0xCE2D3695, 0xD8B9C583), BN_DEF(0x273D3CF1, 0xAFDC5620), 622 BN_DEF(0xA2BB4A9A, 0xADF85458), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF) 623 }; 624 /* q = (p - 1) / 2 */ 625 static const BN_ULONG ffdhe2048_q[] = { 626 BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x30942E4B, 0x4435A11C), 627 BN_DEF(0x60D977FD, 0x6379A513), BN_DEF(0xBE8B41D9, 0xE2C778C1), 628 BN_DEF(0x17611002, 0x9DDAFE5E), BN_DEF(0xA637D6B9, 0xE1FF1D8D), 629 BN_DEF(0x777940C1, 0xC7278919), BN_DEF(0x74C2C1FF, 0xC8B97F4E), 630 BN_DEF(0x941A17B0, 0x601A0266), BN_DEF(0xE6FBF176, 0x4F017E70), 631 BN_DEF(0x770536B8, 0x8583D3E4), BN_DEF(0xB1B95D8C, 0x572B76F3), 632 BN_DEF(0xEF1CA6FA, 0x0EA7A151), BN_DEF(0xB06BFA34, 0xDCB56D5B), 633 BN_DEF(0xD96471FD, 0xE88454A5), BN_DEF(0x59927DB0, 0x5E0558C1), 634 BN_DEF(0xA41D3CBD, 0x98566527), BN_DEF(0x9B56F39A, 0x0EF8AC50), 635 BN_DEF(0x79F7F439, 0xF15344ED), BN_DEF(0x707345BB, 0xCC278638), 636 BN_DEF(0x3FABE49A, 0xDAAB89AF), BN_DEF(0x9EF68D79, 0x42B1B2AA), 637 BN_DEF(0xAF833768, 0x9219FA8F), BN_DEF(0xEAFEB2B0, 0x69EF8F6A), 638 BN_DEF(0x576230BD, 0x7B40D901), BN_DEF(0xB1863AEC, 0xBE97F1B1), 639 BN_DEF(0x124D9F7C, 0xE649CEE7), BN_DEF(0x8A3219FD, 0xD4F09B20), 640 BN_DEF(0xE7169B4A, 0xEC5CE2C1), BN_DEF(0x139E9E78, 0x57EE2B10), 641 BN_DEF(0x515DA54D, 0xD6FC2A2C), BN_DEF(0xFFFFFFFF, 0x7FFFFFFF), 642 }; 643 644 static const BN_ULONG ffdhe3072_p[] = { 645 BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x66C62E37, 0x25E41D2B), 646 BN_DEF(0x3FD59D7C, 0x3C1B20EE), BN_DEF(0xFA53DDEF, 0x0ABCD06B), 647 BN_DEF(0xD5C4484E, 0x1DBF9A42), BN_DEF(0x9B0DEADA, 0xABC52197), 648 BN_DEF(0x22363A0D, 0xE86D2BC5), BN_DEF(0x9C9DF69E, 0x5CAE82AB), 649 BN_DEF(0x71F54BFF, 0x64F2E21E), BN_DEF(0xE2D74DD3, 0xF4FD4452), 650 BN_DEF(0xBC437944, 0xB4130C93), BN_DEF(0x85139270, 0xAEFE1309), 651 BN_DEF(0xC186D91C, 0x598CB0FA), BN_DEF(0x91F7F7EE, 0x7AD91D26), 652 BN_DEF(0xD6E6C907, 0x61B46FC9), BN_DEF(0xF99C0238, 0xBC34F4DE), 653 BN_DEF(0x6519035B, 0xDE355B3B), BN_DEF(0x611FCFDC, 0x886B4238), 654 BN_DEF(0xC1B2EFFA, 0xC6F34A26), BN_DEF(0x7D1683B2, 0xC58EF183), 655 BN_DEF(0x2EC22005, 0x3BB5FCBC), BN_DEF(0x4C6FAD73, 0xC3FE3B1B), 656 BN_DEF(0xEEF28183, 0x8E4F1232), BN_DEF(0xE98583FF, 0x9172FE9C), 657 BN_DEF(0x28342F61, 0xC03404CD), BN_DEF(0xCDF7E2EC, 0x9E02FCE1), 658 BN_DEF(0xEE0A6D70, 0x0B07A7C8), BN_DEF(0x6372BB19, 0xAE56EDE7), 659 BN_DEF(0xDE394DF4, 0x1D4F42A3), BN_DEF(0x60D7F468, 0xB96ADAB7), 660 BN_DEF(0xB2C8E3FB, 0xD108A94B), BN_DEF(0xB324FB61, 0xBC0AB182), 661 BN_DEF(0x483A797A, 0x30ACCA4F), BN_DEF(0x36ADE735, 0x1DF158A1), 662 BN_DEF(0xF3EFE872, 0xE2A689DA), BN_DEF(0xE0E68B77, 0x984F0C70), 663 BN_DEF(0x7F57C935, 0xB557135E), BN_DEF(0x3DED1AF3, 0x85636555), 664 BN_DEF(0x5F066ED0, 0x2433F51F), BN_DEF(0xD5FD6561, 0xD3DF1ED5), 665 BN_DEF(0xAEC4617A, 0xF681B202), BN_DEF(0x630C75D8, 0x7D2FE363), 666 BN_DEF(0x249B3EF9, 0xCC939DCE), BN_DEF(0x146433FB, 0xA9E13641), 667 BN_DEF(0xCE2D3695, 0xD8B9C583), BN_DEF(0x273D3CF1, 0xAFDC5620), 668 BN_DEF(0xA2BB4A9A, 0xADF85458), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF) 669 }; 670 /* q = (p - 1) / 2 */ 671 static const BN_ULONG ffdhe3072_q[] = { 672 BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0xB363171B, 0x12F20E95), 673 BN_DEF(0x1FEACEBE, 0x9E0D9077), BN_DEF(0xFD29EEF7, 0x055E6835), 674 BN_DEF(0x6AE22427, 0x0EDFCD21), BN_DEF(0xCD86F56D, 0xD5E290CB), 675 BN_DEF(0x911B1D06, 0x743695E2), BN_DEF(0xCE4EFB4F, 0xAE574155), 676 BN_DEF(0x38FAA5FF, 0xB279710F), BN_DEF(0x716BA6E9, 0x7A7EA229), 677 BN_DEF(0xDE21BCA2, 0x5A098649), BN_DEF(0xC289C938, 0x577F0984), 678 BN_DEF(0x60C36C8E, 0x2CC6587D), BN_DEF(0x48FBFBF7, 0xBD6C8E93), 679 BN_DEF(0xEB736483, 0x30DA37E4), BN_DEF(0x7CCE011C, 0xDE1A7A6F), 680 BN_DEF(0xB28C81AD, 0x6F1AAD9D), BN_DEF(0x308FE7EE, 0x4435A11C), 681 BN_DEF(0x60D977FD, 0x6379A513), BN_DEF(0xBE8B41D9, 0xE2C778C1), 682 BN_DEF(0x17611002, 0x9DDAFE5E), BN_DEF(0xA637D6B9, 0xE1FF1D8D), 683 BN_DEF(0x777940C1, 0xC7278919), BN_DEF(0x74C2C1FF, 0xC8B97F4E), 684 BN_DEF(0x941A17B0, 0x601A0266), BN_DEF(0xE6FBF176, 0x4F017E70), 685 BN_DEF(0x770536B8, 0x8583D3E4), BN_DEF(0xB1B95D8C, 0x572B76F3), 686 BN_DEF(0xEF1CA6FA, 0x0EA7A151), BN_DEF(0xB06BFA34, 0xDCB56D5B), 687 BN_DEF(0xD96471FD, 0xE88454A5), BN_DEF(0x59927DB0, 0x5E0558C1), 688 BN_DEF(0xA41D3CBD, 0x98566527), BN_DEF(0x9B56F39A, 0x0EF8AC50), 689 BN_DEF(0x79F7F439, 0xF15344ED), BN_DEF(0x707345BB, 0xCC278638), 690 BN_DEF(0x3FABE49A, 0xDAAB89AF), BN_DEF(0x9EF68D79, 0x42B1B2AA), 691 BN_DEF(0xAF833768, 0x9219FA8F), BN_DEF(0xEAFEB2B0, 0x69EF8F6A), 692 BN_DEF(0x576230BD, 0x7B40D901), BN_DEF(0xB1863AEC, 0xBE97F1B1), 693 BN_DEF(0x124D9F7C, 0xE649CEE7), BN_DEF(0x8A3219FD, 0xD4F09B20), 694 BN_DEF(0xE7169B4A, 0xEC5CE2C1), BN_DEF(0x139E9E78, 0x57EE2B10), 695 BN_DEF(0x515DA54D, 0xD6FC2A2C), BN_DEF(0xFFFFFFFF, 0x7FFFFFFF), 696 }; 697 698 static const BN_ULONG ffdhe4096_p[] = { 699 BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x5E655F6A, 0xC68A007E), 700 BN_DEF(0xF44182E1, 0x4DB5A851), BN_DEF(0x7F88A46B, 0x8EC9B55A), 701 BN_DEF(0xCEC97DCF, 0x0A8291CD), BN_DEF(0xF98D0ACC, 0x2A4ECEA9), 702 BN_DEF(0x7140003C, 0x1A1DB93D), BN_DEF(0x33CB8B7A, 0x092999A3), 703 BN_DEF(0x71AD0038, 0x6DC778F9), BN_DEF(0x918130C4, 0xA907600A), 704 BN_DEF(0x2D9E6832, 0xED6A1E01), BN_DEF(0xEFB4318A, 0x7135C886), 705 BN_DEF(0x7E31CC7A, 0x87F55BA5), BN_DEF(0x55034004, 0x7763CF1D), 706 BN_DEF(0xD69F6D18, 0xAC7D5F42), BN_DEF(0xE58857B6, 0x7930E9E4), 707 BN_DEF(0x164DF4FB, 0x6E6F52C3), BN_DEF(0x669E1EF1, 0x25E41D2B), 708 BN_DEF(0x3FD59D7C, 0x3C1B20EE), BN_DEF(0xFA53DDEF, 0x0ABCD06B), 709 BN_DEF(0xD5C4484E, 0x1DBF9A42), BN_DEF(0x9B0DEADA, 0xABC52197), 710 BN_DEF(0x22363A0D, 0xE86D2BC5), BN_DEF(0x9C9DF69E, 0x5CAE82AB), 711 BN_DEF(0x71F54BFF, 0x64F2E21E), BN_DEF(0xE2D74DD3, 0xF4FD4452), 712 BN_DEF(0xBC437944, 0xB4130C93), BN_DEF(0x85139270, 0xAEFE1309), 713 BN_DEF(0xC186D91C, 0x598CB0FA), BN_DEF(0x91F7F7EE, 0x7AD91D26), 714 BN_DEF(0xD6E6C907, 0x61B46FC9), BN_DEF(0xF99C0238, 0xBC34F4DE), 715 BN_DEF(0x6519035B, 0xDE355B3B), BN_DEF(0x611FCFDC, 0x886B4238), 716 BN_DEF(0xC1B2EFFA, 0xC6F34A26), BN_DEF(0x7D1683B2, 0xC58EF183), 717 BN_DEF(0x2EC22005, 0x3BB5FCBC), BN_DEF(0x4C6FAD73, 0xC3FE3B1B), 718 BN_DEF(0xEEF28183, 0x8E4F1232), BN_DEF(0xE98583FF, 0x9172FE9C), 719 BN_DEF(0x28342F61, 0xC03404CD), BN_DEF(0xCDF7E2EC, 0x9E02FCE1), 720 BN_DEF(0xEE0A6D70, 0x0B07A7C8), BN_DEF(0x6372BB19, 0xAE56EDE7), 721 BN_DEF(0xDE394DF4, 0x1D4F42A3), BN_DEF(0x60D7F468, 0xB96ADAB7), 722 BN_DEF(0xB2C8E3FB, 0xD108A94B), BN_DEF(0xB324FB61, 0xBC0AB182), 723 BN_DEF(0x483A797A, 0x30ACCA4F), BN_DEF(0x36ADE735, 0x1DF158A1), 724 BN_DEF(0xF3EFE872, 0xE2A689DA), BN_DEF(0xE0E68B77, 0x984F0C70), 725 BN_DEF(0x7F57C935, 0xB557135E), BN_DEF(0x3DED1AF3, 0x85636555), 726 BN_DEF(0x5F066ED0, 0x2433F51F), BN_DEF(0xD5FD6561, 0xD3DF1ED5), 727 BN_DEF(0xAEC4617A, 0xF681B202), BN_DEF(0x630C75D8, 0x7D2FE363), 728 BN_DEF(0x249B3EF9, 0xCC939DCE), BN_DEF(0x146433FB, 0xA9E13641), 729 BN_DEF(0xCE2D3695, 0xD8B9C583), BN_DEF(0x273D3CF1, 0xAFDC5620), 730 BN_DEF(0xA2BB4A9A, 0xADF85458), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF) 731 }; 732 /* q = (p - 1) / 2 */ 733 static const BN_ULONG ffdhe4096_q[] = { 734 BN_DEF(0xFFFFFFFF, 0x7FFFFFFF), BN_DEF(0x2F32AFB5, 0xE345003F), 735 BN_DEF(0xFA20C170, 0xA6DAD428), BN_DEF(0x3FC45235, 0xC764DAAD), 736 BN_DEF(0xE764BEE7, 0x054148E6), BN_DEF(0xFCC68566, 0x15276754), 737 BN_DEF(0xB8A0001E, 0x0D0EDC9E), BN_DEF(0x99E5C5BD, 0x0494CCD1), 738 BN_DEF(0xB8D6801C, 0x36E3BC7C), BN_DEF(0x48C09862, 0x5483B005), 739 BN_DEF(0x96CF3419, 0x76B50F00), BN_DEF(0x77DA18C5, 0x389AE443), 740 BN_DEF(0xBF18E63D, 0x43FAADD2), BN_DEF(0xAA81A002, 0x3BB1E78E), 741 BN_DEF(0x6B4FB68C, 0x563EAFA1), BN_DEF(0x72C42BDB, 0xBC9874F2), 742 BN_DEF(0x8B26FA7D, 0xB737A961), BN_DEF(0xB34F0F78, 0x12F20E95), 743 BN_DEF(0x1FEACEBE, 0x9E0D9077), BN_DEF(0xFD29EEF7, 0x055E6835), 744 BN_DEF(0x6AE22427, 0x0EDFCD21), BN_DEF(0xCD86F56D, 0xD5E290CB), 745 BN_DEF(0x911B1D06, 0x743695E2), BN_DEF(0xCE4EFB4F, 0xAE574155), 746 BN_DEF(0x38FAA5FF, 0xB279710F), BN_DEF(0x716BA6E9, 0x7A7EA229), 747 BN_DEF(0xDE21BCA2, 0x5A098649), BN_DEF(0xC289C938, 0x577F0984), 748 BN_DEF(0x60C36C8E, 0x2CC6587D), BN_DEF(0x48FBFBF7, 0xBD6C8E93), 749 BN_DEF(0xEB736483, 0x30DA37E4), BN_DEF(0x7CCE011C, 0xDE1A7A6F), 750 BN_DEF(0xB28C81AD, 0x6F1AAD9D), BN_DEF(0x308FE7EE, 0x4435A11C), 751 BN_DEF(0x60D977FD, 0x6379A513), BN_DEF(0xBE8B41D9, 0xE2C778C1), 752 BN_DEF(0x17611002, 0x9DDAFE5E), BN_DEF(0xA637D6B9, 0xE1FF1D8D), 753 BN_DEF(0x777940C1, 0xC7278919), BN_DEF(0x74C2C1FF, 0xC8B97F4E), 754 BN_DEF(0x941A17B0, 0x601A0266), BN_DEF(0xE6FBF176, 0x4F017E70), 755 BN_DEF(0x770536B8, 0x8583D3E4), BN_DEF(0xB1B95D8C, 0x572B76F3), 756 BN_DEF(0xEF1CA6FA, 0x0EA7A151), BN_DEF(0xB06BFA34, 0xDCB56D5B), 757 BN_DEF(0xD96471FD, 0xE88454A5), BN_DEF(0x59927DB0, 0x5E0558C1), 758 BN_DEF(0xA41D3CBD, 0x98566527), BN_DEF(0x9B56F39A, 0x0EF8AC50), 759 BN_DEF(0x79F7F439, 0xF15344ED), BN_DEF(0x707345BB, 0xCC278638), 760 BN_DEF(0x3FABE49A, 0xDAAB89AF), BN_DEF(0x9EF68D79, 0x42B1B2AA), 761 BN_DEF(0xAF833768, 0x9219FA8F), BN_DEF(0xEAFEB2B0, 0x69EF8F6A), 762 BN_DEF(0x576230BD, 0x7B40D901), BN_DEF(0xB1863AEC, 0xBE97F1B1), 763 BN_DEF(0x124D9F7C, 0xE649CEE7), BN_DEF(0x8A3219FD, 0xD4F09B20), 764 BN_DEF(0xE7169B4A, 0xEC5CE2C1), BN_DEF(0x139E9E78, 0x57EE2B10), 765 BN_DEF(0x515DA54D, 0xD6FC2A2C), BN_DEF(0xFFFFFFFF, 0x7FFFFFFF), 766 }; 767 768 static const BN_ULONG ffdhe6144_p[] = { 769 BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0xD0E40E65, 0xA40E329C), 770 BN_DEF(0x7938DAD4, 0xA41D570D), BN_DEF(0xD43161C1, 0x62A69526), 771 BN_DEF(0x9ADB1E69, 0x3FDD4A8E), BN_DEF(0xDC6B80D6, 0x5B3B71F9), 772 BN_DEF(0xC6272B04, 0xEC9D1810), BN_DEF(0xCACEF403, 0x8CCF2DD5), 773 BN_DEF(0xC95B9117, 0xE49F5235), BN_DEF(0xB854338A, 0x505DC82D), 774 BN_DEF(0x1562A846, 0x62292C31), BN_DEF(0x6AE77F5E, 0xD72B0374), 775 BN_DEF(0x462D538C, 0xF9C9091B), BN_DEF(0x47A67CBE, 0x0AE8DB58), 776 BN_DEF(0x22611682, 0xB3A739C1), BN_DEF(0x2A281BF6, 0xEEAAC023), 777 BN_DEF(0x77CAF992, 0x94C6651E), BN_DEF(0x94B2BBC1, 0x763E4E4B), 778 BN_DEF(0x0077D9B4, 0x587E38DA), BN_DEF(0x183023C3, 0x7FB29F8C), 779 BN_DEF(0xF9E3A26E, 0x0ABEC1FF), BN_DEF(0x350511E3, 0xA00EF092), 780 BN_DEF(0xDB6340D8, 0xB855322E), BN_DEF(0xA9A96910, 0xA52471F7), 781 BN_DEF(0x4CFDB477, 0x388147FB), BN_DEF(0x4E46041F, 0x9B1F5C3E), 782 BN_DEF(0xFCCFEC71, 0xCDAD0657), BN_DEF(0x4C701C3A, 0xB38E8C33), 783 BN_DEF(0xB1C0FD4C, 0x917BDD64), BN_DEF(0x9B7624C8, 0x3BB45432), 784 BN_DEF(0xCAF53EA6, 0x23BA4442), BN_DEF(0x38532A3A, 0x4E677D2C), 785 BN_DEF(0x45036C7A, 0x0BFD64B6), BN_DEF(0x5E0DD902, 0xC68A007E), 786 BN_DEF(0xF44182E1, 0x4DB5A851), BN_DEF(0x7F88A46B, 0x8EC9B55A), 787 BN_DEF(0xCEC97DCF, 0x0A8291CD), BN_DEF(0xF98D0ACC, 0x2A4ECEA9), 788 BN_DEF(0x7140003C, 0x1A1DB93D), BN_DEF(0x33CB8B7A, 0x092999A3), 789 BN_DEF(0x71AD0038, 0x6DC778F9), BN_DEF(0x918130C4, 0xA907600A), 790 BN_DEF(0x2D9E6832, 0xED6A1E01), BN_DEF(0xEFB4318A, 0x7135C886), 791 BN_DEF(0x7E31CC7A, 0x87F55BA5), BN_DEF(0x55034004, 0x7763CF1D), 792 BN_DEF(0xD69F6D18, 0xAC7D5F42), BN_DEF(0xE58857B6, 0x7930E9E4), 793 BN_DEF(0x164DF4FB, 0x6E6F52C3), BN_DEF(0x669E1EF1, 0x25E41D2B), 794 BN_DEF(0x3FD59D7C, 0x3C1B20EE), BN_DEF(0xFA53DDEF, 0x0ABCD06B), 795 BN_DEF(0xD5C4484E, 0x1DBF9A42), BN_DEF(0x9B0DEADA, 0xABC52197), 796 BN_DEF(0x22363A0D, 0xE86D2BC5), BN_DEF(0x9C9DF69E, 0x5CAE82AB), 797 BN_DEF(0x71F54BFF, 0x64F2E21E), BN_DEF(0xE2D74DD3, 0xF4FD4452), 798 BN_DEF(0xBC437944, 0xB4130C93), BN_DEF(0x85139270, 0xAEFE1309), 799 BN_DEF(0xC186D91C, 0x598CB0FA), BN_DEF(0x91F7F7EE, 0x7AD91D26), 800 BN_DEF(0xD6E6C907, 0x61B46FC9), BN_DEF(0xF99C0238, 0xBC34F4DE), 801 BN_DEF(0x6519035B, 0xDE355B3B), BN_DEF(0x611FCFDC, 0x886B4238), 802 BN_DEF(0xC1B2EFFA, 0xC6F34A26), BN_DEF(0x7D1683B2, 0xC58EF183), 803 BN_DEF(0x2EC22005, 0x3BB5FCBC), BN_DEF(0x4C6FAD73, 0xC3FE3B1B), 804 BN_DEF(0xEEF28183, 0x8E4F1232), BN_DEF(0xE98583FF, 0x9172FE9C), 805 BN_DEF(0x28342F61, 0xC03404CD), BN_DEF(0xCDF7E2EC, 0x9E02FCE1), 806 BN_DEF(0xEE0A6D70, 0x0B07A7C8), BN_DEF(0x6372BB19, 0xAE56EDE7), 807 BN_DEF(0xDE394DF4, 0x1D4F42A3), BN_DEF(0x60D7F468, 0xB96ADAB7), 808 BN_DEF(0xB2C8E3FB, 0xD108A94B), BN_DEF(0xB324FB61, 0xBC0AB182), 809 BN_DEF(0x483A797A, 0x30ACCA4F), BN_DEF(0x36ADE735, 0x1DF158A1), 810 BN_DEF(0xF3EFE872, 0xE2A689DA), BN_DEF(0xE0E68B77, 0x984F0C70), 811 BN_DEF(0x7F57C935, 0xB557135E), BN_DEF(0x3DED1AF3, 0x85636555), 812 BN_DEF(0x5F066ED0, 0x2433F51F), BN_DEF(0xD5FD6561, 0xD3DF1ED5), 813 BN_DEF(0xAEC4617A, 0xF681B202), BN_DEF(0x630C75D8, 0x7D2FE363), 814 BN_DEF(0x249B3EF9, 0xCC939DCE), BN_DEF(0x146433FB, 0xA9E13641), 815 BN_DEF(0xCE2D3695, 0xD8B9C583), BN_DEF(0x273D3CF1, 0xAFDC5620), 816 BN_DEF(0xA2BB4A9A, 0xADF85458), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF) 817 }; 818 /* q = (p - 1) / 2 */ 819 static const BN_ULONG ffdhe6144_q[] = { 820 BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0x68720732, 0x5207194E), 821 BN_DEF(0xBC9C6D6A, 0xD20EAB86), BN_DEF(0x6A18B0E0, 0xB1534A93), 822 BN_DEF(0x4D6D8F34, 0x1FEEA547), BN_DEF(0xEE35C06B, 0x2D9DB8FC), 823 BN_DEF(0x63139582, 0xF64E8C08), BN_DEF(0xE5677A01, 0xC66796EA), 824 BN_DEF(0xE4ADC88B, 0x724FA91A), BN_DEF(0xDC2A19C5, 0x282EE416), 825 BN_DEF(0x8AB15423, 0x31149618), BN_DEF(0x3573BFAF, 0x6B9581BA), 826 BN_DEF(0xA316A9C6, 0x7CE4848D), BN_DEF(0x23D33E5F, 0x05746DAC), 827 BN_DEF(0x91308B41, 0x59D39CE0), BN_DEF(0x95140DFB, 0x77556011), 828 BN_DEF(0x3BE57CC9, 0xCA63328F), BN_DEF(0xCA595DE0, 0x3B1F2725), 829 BN_DEF(0x003BECDA, 0xAC3F1C6D), BN_DEF(0x0C1811E1, 0x3FD94FC6), 830 BN_DEF(0xFCF1D137, 0x855F60FF), BN_DEF(0x1A8288F1, 0x50077849), 831 BN_DEF(0x6DB1A06C, 0x5C2A9917), BN_DEF(0xD4D4B488, 0xD29238FB), 832 BN_DEF(0xA67EDA3B, 0x9C40A3FD), BN_DEF(0x2723020F, 0xCD8FAE1F), 833 BN_DEF(0xFE67F638, 0x66D6832B), BN_DEF(0xA6380E1D, 0x59C74619), 834 BN_DEF(0x58E07EA6, 0x48BDEEB2), BN_DEF(0x4DBB1264, 0x1DDA2A19), 835 BN_DEF(0x657A9F53, 0x11DD2221), BN_DEF(0x1C29951D, 0x2733BE96), 836 BN_DEF(0x2281B63D, 0x05FEB25B), BN_DEF(0x2F06EC81, 0xE345003F), 837 BN_DEF(0xFA20C170, 0xA6DAD428), BN_DEF(0x3FC45235, 0xC764DAAD), 838 BN_DEF(0xE764BEE7, 0x054148E6), BN_DEF(0xFCC68566, 0x15276754), 839 BN_DEF(0xB8A0001E, 0x0D0EDC9E), BN_DEF(0x99E5C5BD, 0x0494CCD1), 840 BN_DEF(0xB8D6801C, 0x36E3BC7C), BN_DEF(0x48C09862, 0x5483B005), 841 BN_DEF(0x96CF3419, 0x76B50F00), BN_DEF(0x77DA18C5, 0x389AE443), 842 BN_DEF(0xBF18E63D, 0x43FAADD2), BN_DEF(0xAA81A002, 0x3BB1E78E), 843 BN_DEF(0x6B4FB68C, 0x563EAFA1), BN_DEF(0x72C42BDB, 0xBC9874F2), 844 BN_DEF(0x8B26FA7D, 0xB737A961), BN_DEF(0xB34F0F78, 0x12F20E95), 845 BN_DEF(0x1FEACEBE, 0x9E0D9077), BN_DEF(0xFD29EEF7, 0x055E6835), 846 BN_DEF(0x6AE22427, 0x0EDFCD21), BN_DEF(0xCD86F56D, 0xD5E290CB), 847 BN_DEF(0x911B1D06, 0x743695E2), BN_DEF(0xCE4EFB4F, 0xAE574155), 848 BN_DEF(0x38FAA5FF, 0xB279710F), BN_DEF(0x716BA6E9, 0x7A7EA229), 849 BN_DEF(0xDE21BCA2, 0x5A098649), BN_DEF(0xC289C938, 0x577F0984), 850 BN_DEF(0x60C36C8E, 0x2CC6587D), BN_DEF(0x48FBFBF7, 0xBD6C8E93), 851 BN_DEF(0xEB736483, 0x30DA37E4), BN_DEF(0x7CCE011C, 0xDE1A7A6F), 852 BN_DEF(0xB28C81AD, 0x6F1AAD9D), BN_DEF(0x308FE7EE, 0x4435A11C), 853 BN_DEF(0x60D977FD, 0x6379A513), BN_DEF(0xBE8B41D9, 0xE2C778C1), 854 BN_DEF(0x17611002, 0x9DDAFE5E), BN_DEF(0xA637D6B9, 0xE1FF1D8D), 855 BN_DEF(0x777940C1, 0xC7278919), BN_DEF(0x74C2C1FF, 0xC8B97F4E), 856 BN_DEF(0x941A17B0, 0x601A0266), BN_DEF(0xE6FBF176, 0x4F017E70), 857 BN_DEF(0x770536B8, 0x8583D3E4), BN_DEF(0xB1B95D8C, 0x572B76F3), 858 BN_DEF(0xEF1CA6FA, 0x0EA7A151), BN_DEF(0xB06BFA34, 0xDCB56D5B), 859 BN_DEF(0xD96471FD, 0xE88454A5), BN_DEF(0x59927DB0, 0x5E0558C1), 860 BN_DEF(0xA41D3CBD, 0x98566527), BN_DEF(0x9B56F39A, 0x0EF8AC50), 861 BN_DEF(0x79F7F439, 0xF15344ED), BN_DEF(0x707345BB, 0xCC278638), 862 BN_DEF(0x3FABE49A, 0xDAAB89AF), BN_DEF(0x9EF68D79, 0x42B1B2AA), 863 BN_DEF(0xAF833768, 0x9219FA8F), BN_DEF(0xEAFEB2B0, 0x69EF8F6A), 864 BN_DEF(0x576230BD, 0x7B40D901), BN_DEF(0xB1863AEC, 0xBE97F1B1), 865 BN_DEF(0x124D9F7C, 0xE649CEE7), BN_DEF(0x8A3219FD, 0xD4F09B20), 866 BN_DEF(0xE7169B4A, 0xEC5CE2C1), BN_DEF(0x139E9E78, 0x57EE2B10), 867 BN_DEF(0x515DA54D, 0xD6FC2A2C), BN_DEF(0xFFFFFFFF, 0x7FFFFFFF), 868 }; 869 870 static const BN_ULONG ffdhe8192_p[] = { 871 BN_DEF(0xFFFFFFFF, 0xFFFFFFFF), BN_DEF(0xC5C6424C, 0xD68C8BB7), 872 BN_DEF(0x838FF88C, 0x011E2A94), BN_DEF(0xA9F4614E, 0x0822E506), 873 BN_DEF(0xF7A8443D, 0x97D11D49), BN_DEF(0x30677F0D, 0xA6BBFDE5), 874 BN_DEF(0xC1FE86FE, 0x2F741EF8), BN_DEF(0x5D71A87E, 0xFAFABE1C), 875 BN_DEF(0xFBE58A30, 0xDED2FBAB), BN_DEF(0x72B0A66E, 0xB6855DFE), 876 BN_DEF(0xBA8A4FE8, 0x1EFC8CE0), BN_DEF(0x3F2FA457, 0x83F81D4A), 877 BN_DEF(0xA577E231, 0xA1FE3075), BN_DEF(0x88D9C0A0, 0xD5B80194), 878 BN_DEF(0xAD9A95F9, 0x624816CD), BN_DEF(0x50C1217B, 0x99E9E316), 879 BN_DEF(0x0E423CFC, 0x51AA691E), BN_DEF(0x3826E52C, 0x1C217E6C), 880 BN_DEF(0x09703FEE, 0x51A8A931), BN_DEF(0x6A460E74, 0xBB709987), 881 BN_DEF(0x9C86B022, 0x541FC68C), BN_DEF(0x46FD8251, 0x59160CC0), 882 BN_DEF(0x35C35F5C, 0x2846C0BA), BN_DEF(0x8B758282, 0x54504AC7), 883 BN_DEF(0xD2AF05E4, 0x29388839), BN_DEF(0xC01BD702, 0xCB2C0F1C), 884 BN_DEF(0x7C932665, 0x555B2F74), BN_DEF(0xA3AB8829, 0x86B63142), 885 BN_DEF(0xF64B10EF, 0x0B8CC3BD), BN_DEF(0xEDD1CC5E, 0x687FEB69), 886 BN_DEF(0xC9509D43, 0xFDB23FCE), BN_DEF(0xD951AE64, 0x1E425A31), 887 BN_DEF(0xF600C838, 0x36AD004C), BN_DEF(0xCFF46AAA, 0xA40E329C), 888 BN_DEF(0x7938DAD4, 0xA41D570D), BN_DEF(0xD43161C1, 0x62A69526), 889 BN_DEF(0x9ADB1E69, 0x3FDD4A8E), BN_DEF(0xDC6B80D6, 0x5B3B71F9), 890 BN_DEF(0xC6272B04, 0xEC9D1810), BN_DEF(0xCACEF403, 0x8CCF2DD5), 891 BN_DEF(0xC95B9117, 0xE49F5235), BN_DEF(0xB854338A, 0x505DC82D), 892 BN_DEF(0x1562A846, 0x62292C31), BN_DEF(0x6AE77F5E, 0xD72B0374), 893 BN_DEF(0x462D538C, 0xF9C9091B), BN_DEF(0x47A67CBE, 0x0AE8DB58), 894 BN_DEF(0x22611682, 0xB3A739C1), BN_DEF(0x2A281BF6, 0xEEAAC023), 895 BN_DEF(0x77CAF992, 0x94C6651E), BN_DEF(0x94B2BBC1, 0x763E4E4B), 896 BN_DEF(0x0077D9B4, 0x587E38DA), BN_DEF(0x183023C3, 0x7FB29F8C), 897 BN_DEF(0xF9E3A26E, 0x0ABEC1FF), BN_DEF(0x350511E3, 0xA00EF092), 898 BN_DEF(0xDB6340D8, 0xB855322E), BN_DEF(0xA9A96910, 0xA52471F7), 899 BN_DEF(0x4CFDB477, 0x388147FB), BN_DEF(0x4E46041F, 0x9B1F5C3E), 900 BN_DEF(0xFCCFEC71, 0xCDAD0657), BN_DEF(0x4C701C3A, 0xB38E8C33), 901 BN_DEF(0xB1C0FD4C, 0x917BDD64), BN_DEF(0x9B7624C8, 0x3BB45432), 902 BN_DEF(0xCAF53EA6, 0x23BA4442), BN_DEF(0x38532A3A, 0x4E677D2C), 903 BN_DEF(0x45036C7A, 0x0BFD64B6), BN_DEF(0x5E0DD902, 0xC68A007E), 904 BN_DEF(0xF44182E1, 0x4DB5A851), BN_DEF(0x7F88A46B, 0x8EC9B55A), 905 BN_DEF(0xCEC97DCF, 0x0A8291CD), BN_DEF(0xF98D0ACC, 0x2A4ECEA9), 906 BN_DEF(0x7140003C, 0x1A1DB93D), BN_DEF(0x33CB8B7A, 0x092999A3), 907 BN_DEF(0x71AD0038, 0x6DC778F9), BN_DEF(0x918130C4, 0xA907600A), 908 BN_DEF(0x2D9E6832, 0xED6A1E01), BN_DEF(0xEFB4318A, 0x7135C886), 909 BN_DEF(0x7E31CC7A, 0x87F55BA5), BN_DEF(0x55034004, 0x7763CF1D), 910 BN_DEF(0xD69F6D18, 0xAC7D5F42), BN_DEF(0xE58857B6, 0x7930E9E4), 911 BN_DEF(0x164DF4FB, 0x6E6F52C3), BN_DEF(0x669E1EF1, 0x25E41D2B), 912 BN_DEF(0x3FD59D7C, 0x3C1B20EE), BN_DEF(0xFA53DDEF, 0x0ABCD06B), 913 BN_DEF(0xD5C4484E, 0x1DBF9A42), BN_DEF(0x9B0DEADA, 0xABC52197), 914 BN_DEF(0x22363A0D, 0xE86D2BC5), BN_DEF(0x9C9DF69E, 0x5CAE82AB), 915 BN_DEF(0x71F54BFF, 0x64F2E21E), BN_DEF(0xE2D74DD3, 0xF4FD4452), 916 BN_DEF(0xBC437944, 0xB4130C93), BN_DEF(0x85139270, 0xAEFE1309), 917 BN_DEF(0xC186D91C, 0x598CB0FA), BN_DEF(0x91F7F7EE, 0x7AD91D26), 918 BN_DEF(0xD6E6C907, 0x61B46FC9), BN_DEF(0xF99C0238, 0xBC34F4DE), 919 BN_DEF(0x6519035B, 0xDE355B3B), BN_DEF(0x611FCFDC, 0x886B4238), 920 BN_DEF(0xC1B2EFFA, 0xC6F34A26), BN_DEF(0x7D1683B2, 0xC58EF183), 921 BN_DEF(0x2EC22005, 0x3BB5FCBC), BN_DEF(0x4C6FAD73, 0xC3FE3B1B), 922 BN_DEF(0xEEF28183, 0x8E4F1232), BN_DEF(0xE98583FF, 0x9172FE9C), 923 BN_DEF(0x28342F61, 0xC03404CD), BN_DEF(0xCDF7E2EC, 0x9E02FCE1), 924 BN_DEF(0xEE0A6D70, 0x0B07A7C8), BN_DEF(0x6372BB19, 0xAE56EDE7), 925 BN_DEF(0xDE394DF4, 0x1D4F42A3), BN_DEF(0x60D7F468, 0xB96ADAB7), 926 BN_DEF(0xB2C8E3FB, 0xD108A94B), BN_DEF(0xB324FB61, 0xBC0AB182), 927 BN_DEF(0x483A797A, 0x30ACCA4F), BN_DEF(0x36ADE735, 0x1DF158A1), 928 BN_DEF(0xF3EFE872, 0xE2A689DA), BN_DEF(0xE0E68B77, 0x984F0C70), 929 BN_DEF(0x7F57C935, 0xB557135E), BN_DEF(0x3DED1AF3, 0x85636555), 930 BN_DEF(0x5F066ED0, 0x2433F51F), BN_DEF(0xD5FD6561, 0xD3DF1ED5), 931 BN_DEF(0xAEC4617A, 0xF681B202), BN_DEF(0x630C75D8, 0x7D2FE363), 932 BN_DEF(0x249B3EF9, 0xCC939DCE), BN_DEF(0x146433FB, 0xA9E13641), 933 BN_DEF(0xCE2D3695, 0xD8B9C583), BN_DEF(0x273D3CF1, 0xAFDC5620), 934 BN_DEF(0xA2BB4A9A, 0xADF85458), BN_DEF(0xFFFFFFFF, 0xFFFFFFFF) 935 }; 936 /* q = (p - 1) / 2 */ 937 static const BN_ULONG ffdhe8192_q[] = { 938 BN_DEF(0xFFFFFFFF, 0x7FFFFFFF), BN_DEF(0xE2E32126, 0x6B4645DB), 939 BN_DEF(0x41C7FC46, 0x008F154A), BN_DEF(0x54FA30A7, 0x84117283), 940 BN_DEF(0xFBD4221E, 0xCBE88EA4), BN_DEF(0x9833BF86, 0x535DFEF2), 941 BN_DEF(0x60FF437F, 0x17BA0F7C), BN_DEF(0x2EB8D43F, 0x7D7D5F0E), 942 BN_DEF(0xFDF2C518, 0x6F697DD5), BN_DEF(0x39585337, 0x5B42AEFF), 943 BN_DEF(0x5D4527F4, 0x8F7E4670), BN_DEF(0x1F97D22B, 0xC1FC0EA5), 944 BN_DEF(0xD2BBF118, 0x50FF183A), BN_DEF(0x446CE050, 0xEADC00CA), 945 BN_DEF(0xD6CD4AFC, 0xB1240B66), BN_DEF(0x286090BD, 0x4CF4F18B), 946 BN_DEF(0x07211E7E, 0x28D5348F), BN_DEF(0x1C137296, 0x0E10BF36), 947 BN_DEF(0x84B81FF7, 0x28D45498), BN_DEF(0xB523073A, 0x5DB84CC3), 948 BN_DEF(0x4E435811, 0xAA0FE346), BN_DEF(0x237EC128, 0x2C8B0660), 949 BN_DEF(0x1AE1AFAE, 0x1423605D), BN_DEF(0xC5BAC141, 0x2A282563), 950 BN_DEF(0xE95782F2, 0x149C441C), BN_DEF(0x600DEB81, 0xE596078E), 951 BN_DEF(0x3E499332, 0xAAAD97BA), BN_DEF(0x51D5C414, 0xC35B18A1), 952 BN_DEF(0xFB258877, 0x05C661DE), BN_DEF(0xF6E8E62F, 0xB43FF5B4), 953 BN_DEF(0x64A84EA1, 0x7ED91FE7), BN_DEF(0xECA8D732, 0x0F212D18), 954 BN_DEF(0x7B00641C, 0x1B568026), BN_DEF(0x67FA3555, 0x5207194E), 955 BN_DEF(0xBC9C6D6A, 0xD20EAB86), BN_DEF(0x6A18B0E0, 0xB1534A93), 956 BN_DEF(0x4D6D8F34, 0x1FEEA547), BN_DEF(0xEE35C06B, 0x2D9DB8FC), 957 BN_DEF(0x63139582, 0xF64E8C08), BN_DEF(0xE5677A01, 0xC66796EA), 958 BN_DEF(0xE4ADC88B, 0x724FA91A), BN_DEF(0xDC2A19C5, 0x282EE416), 959 BN_DEF(0x8AB15423, 0x31149618), BN_DEF(0x3573BFAF, 0x6B9581BA), 960 BN_DEF(0xA316A9C6, 0x7CE4848D), BN_DEF(0x23D33E5F, 0x05746DAC), 961 BN_DEF(0x91308B41, 0x59D39CE0), BN_DEF(0x95140DFB, 0x77556011), 962 BN_DEF(0x3BE57CC9, 0xCA63328F), BN_DEF(0xCA595DE0, 0x3B1F2725), 963 BN_DEF(0x003BECDA, 0xAC3F1C6D), BN_DEF(0x0C1811E1, 0x3FD94FC6), 964 BN_DEF(0xFCF1D137, 0x855F60FF), BN_DEF(0x1A8288F1, 0x50077849), 965 BN_DEF(0x6DB1A06C, 0x5C2A9917), BN_DEF(0xD4D4B488, 0xD29238FB), 966 BN_DEF(0xA67EDA3B, 0x9C40A3FD), BN_DEF(0x2723020F, 0xCD8FAE1F), 967 BN_DEF(0xFE67F638, 0x66D6832B), BN_DEF(0xA6380E1D, 0x59C74619), 968 BN_DEF(0x58E07EA6, 0x48BDEEB2), BN_DEF(0x4DBB1264, 0x1DDA2A19), 969 BN_DEF(0x657A9F53, 0x11DD2221), BN_DEF(0x1C29951D, 0x2733BE96), 970 BN_DEF(0x2281B63D, 0x05FEB25B), BN_DEF(0x2F06EC81, 0xE345003F), 971 BN_DEF(0xFA20C170, 0xA6DAD428), BN_DEF(0x3FC45235, 0xC764DAAD), 972 BN_DEF(0xE764BEE7, 0x054148E6), BN_DEF(0xFCC68566, 0x15276754), 973 BN_DEF(0xB8A0001E, 0x0D0EDC9E), BN_DEF(0x99E5C5BD, 0x0494CCD1), 974 BN_DEF(0xB8D6801C, 0x36E3BC7C), BN_DEF(0x48C09862, 0x5483B005), 975 BN_DEF(0x96CF3419, 0x76B50F00), BN_DEF(0x77DA18C5, 0x389AE443), 976 BN_DEF(0xBF18E63D, 0x43FAADD2), BN_DEF(0xAA81A002, 0x3BB1E78E), 977 BN_DEF(0x6B4FB68C, 0x563EAFA1), BN_DEF(0x72C42BDB, 0xBC9874F2), 978 BN_DEF(0x8B26FA7D, 0xB737A961), BN_DEF(0xB34F0F78, 0x12F20E95), 979 BN_DEF(0x1FEACEBE, 0x9E0D9077), BN_DEF(0xFD29EEF7, 0x055E6835), 980 BN_DEF(0x6AE22427, 0x0EDFCD21), BN_DEF(0xCD86F56D, 0xD5E290CB), 981 BN_DEF(0x911B1D06, 0x743695E2), BN_DEF(0xCE4EFB4F, 0xAE574155), 982 BN_DEF(0x38FAA5FF, 0xB279710F), BN_DEF(0x716BA6E9, 0x7A7EA229), 983 BN_DEF(0xDE21BCA2, 0x5A098649), BN_DEF(0xC289C938, 0x577F0984), 984 BN_DEF(0x60C36C8E, 0x2CC6587D), BN_DEF(0x48FBFBF7, 0xBD6C8E93), 985 BN_DEF(0xEB736483, 0x30DA37E4), BN_DEF(0x7CCE011C, 0xDE1A7A6F), 986 BN_DEF(0xB28C81AD, 0x6F1AAD9D), BN_DEF(0x308FE7EE, 0x4435A11C), 987 BN_DEF(0x60D977FD, 0x6379A513), BN_DEF(0xBE8B41D9, 0xE2C778C1), 988 BN_DEF(0x17611002, 0x9DDAFE5E), BN_DEF(0xA637D6B9, 0xE1FF1D8D), 989 BN_DEF(0x777940C1, 0xC7278919), BN_DEF(0x74C2C1FF, 0xC8B97F4E), 990 BN_DEF(0x941A17B0, 0x601A0266), BN_DEF(0xE6FBF176, 0x4F017E70), 991 BN_DEF(0x770536B8, 0x8583D3E4), BN_DEF(0xB1B95D8C, 0x572B76F3), 992 BN_DEF(0xEF1CA6FA, 0x0EA7A151), BN_DEF(0xB06BFA34, 0xDCB56D5B), 993 BN_DEF(0xD96471FD, 0xE88454A5), BN_DEF(0x59927DB0, 0x5E0558C1), 994 BN_DEF(0xA41D3CBD, 0x98566527), BN_DEF(0x9B56F39A, 0x0EF8AC50), 995 BN_DEF(0x79F7F439, 0xF15344ED), BN_DEF(0x707345BB, 0xCC278638), 996 BN_DEF(0x3FABE49A, 0xDAAB89AF), BN_DEF(0x9EF68D79, 0x42B1B2AA), 997 BN_DEF(0xAF833768, 0x9219FA8F), BN_DEF(0xEAFEB2B0, 0x69EF8F6A), 998 BN_DEF(0x576230BD, 0x7B40D901), BN_DEF(0xB1863AEC, 0xBE97F1B1), 999 BN_DEF(0x124D9F7C, 0xE649CEE7), BN_DEF(0x8A3219FD, 0xD4F09B20), 1000 BN_DEF(0xE7169B4A, 0xEC5CE2C1), BN_DEF(0x139E9E78, 0x57EE2B10), 1001 BN_DEF(0x515DA54D, 0xD6FC2A2C), BN_DEF(0xFFFFFFFF, 0x7FFFFFFF), 1002 }; 1003 1004 /* Macro to make a BIGNUM from static data */ 1005 1006 # define make_dh_bn(x) \ 1007 extern const BIGNUM ossl_bignum_##x; \ 1008 const BIGNUM ossl_bignum_##x = { \ 1009 (BN_ULONG *) x, \ 1010 OSSL_NELEM(x), \ 1011 OSSL_NELEM(x), \ 1012 0, BN_FLG_STATIC_DATA }; 1013 1014 static const BN_ULONG value_2 = 2; 1015 1016 const BIGNUM ossl_bignum_const_2 = { 1017 (BN_ULONG *)&value_2, 1, 1, 0, BN_FLG_STATIC_DATA 1018 }; 1019 1020 make_dh_bn(dh1024_160_p) 1021 make_dh_bn(dh1024_160_q) 1022 make_dh_bn(dh1024_160_g) 1023 make_dh_bn(dh2048_224_p) 1024 make_dh_bn(dh2048_224_q) 1025 make_dh_bn(dh2048_224_g) 1026 make_dh_bn(dh2048_256_p) 1027 make_dh_bn(dh2048_256_q) 1028 make_dh_bn(dh2048_256_g) 1029 1030 make_dh_bn(ffdhe2048_p) 1031 make_dh_bn(ffdhe2048_q) 1032 make_dh_bn(ffdhe3072_p) 1033 make_dh_bn(ffdhe3072_q) 1034 make_dh_bn(ffdhe4096_p) 1035 make_dh_bn(ffdhe4096_q) 1036 make_dh_bn(ffdhe6144_p) 1037 make_dh_bn(ffdhe6144_q) 1038 make_dh_bn(ffdhe8192_p) 1039 make_dh_bn(ffdhe8192_q) 1040 1041 # ifndef FIPS_MODULE 1042 make_dh_bn(modp_1536_p) 1043 make_dh_bn(modp_1536_q) 1044 # endif 1045 make_dh_bn(modp_2048_p) 1046 make_dh_bn(modp_2048_q) 1047 make_dh_bn(modp_3072_p) 1048 make_dh_bn(modp_3072_q) 1049 make_dh_bn(modp_4096_p) 1050 make_dh_bn(modp_4096_q) 1051 make_dh_bn(modp_6144_p) 1052 make_dh_bn(modp_6144_q) 1053 make_dh_bn(modp_8192_p) 1054 make_dh_bn(modp_8192_q) 1055
