crypto/bn/bn_dh.c

   1 /*
   2  * Written by Dr Stephen N Henson (steve@openssl.org) for the OpenSSL project
   3  * 2011.
   4  */
   5 /* ====================================================================
   6  * Copyright (c) 2011 The OpenSSL Project.  All rights reserved.
   7  *
   8  * Redistribution and use in source and binary forms, with or without
   9  * modification, are permitted provided that the following conditions
  10  * are met:
  11  *
  12  * 1. Redistributions of source code must retain the above copyright
  13  *    notice, this list of conditions and the following disclaimer.
  14  *
  15  * 2. Redistributions in binary form must reproduce the above copyright
  16  *    notice, this list of conditions and the following disclaimer in
  17  *    the documentation and/or other materials provided with the
  18  *    distribution.
  19  *
  20  * 3. All advertising materials mentioning features or use of this
  21  *    software must display the following acknowledgment:
  22  *    "This product includes software developed by the OpenSSL Project
  23  *    for use in the OpenSSL Toolkit. (http://www.OpenSSL.org/)"
  24  *
  25  * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
  26  *    endorse or promote products derived from this software without
  27  *    prior written permission. For written permission, please contact
  28  *    licensing@OpenSSL.org.
  29  *
  30  * 5. Products derived from this software may not be called "OpenSSL"
  31  *    nor may "OpenSSL" appear in their names without prior written
  32  *    permission of the OpenSSL Project.
  33  *
  34  * 6. Redistributions of any form whatsoever must retain the following
  35  *    acknowledgment:
  36  *    "This product includes software developed by the OpenSSL Project
  37  *    for use in the OpenSSL Toolkit (http://www.OpenSSL.org/)"
  38  *
  39  * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
  40  * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
  41  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
  42  * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE OpenSSL PROJECT OR
  43  * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
  44  * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
  45  * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
  46  * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
  47  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
  48  * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
  49  * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
  50  * OF THE POSSIBILITY OF SUCH DAMAGE.
  51  * ====================================================================
  52  *
  53  * This product includes cryptographic software written by Eric Young
  54  * (eay@cryptsoft.com).  This product includes software written by Tim
  55  * Hudson (tjh@cryptsoft.com).
  56  *
  57  */
  58
  59 #include "bn_lcl.h"
  60 #include "e_os.h"
  61
  62 #ifndef OPENSSL_NO_DH
  63 /* DH parameters from RFC5114 */
  64
  65 # if BN_BITS2 == 64
  66 static const BN_ULONG dh1024_160_p[] = {
  67     0xDF1FB2BC2E4A4371ULL, 0xE68CFDA76D4DA708ULL, 0x45BF37DF365C1A65ULL,
  68     0xA151AF5F0DC8B4BDULL, 0xFAA31A4FF55BCCC0ULL, 0x4EFFD6FAE5644738ULL,
  69     0x98488E9C219A7372ULL, 0xACCBDD7D90C4BD70ULL, 0x24975C3CD49B83BFULL,
  70     0x13ECB4AEA9061123ULL, 0x9838EF1E2EE652C0ULL, 0x6073E28675A23D18ULL,
  71     0x9A6A9DCA52D23B61ULL, 0x52C99FBCFB06A3C6ULL, 0xDE92DE5EAE5D54ECULL,
  72     0xB10B8F96A080E01DULL
  73 };
  74
  75 static const BN_ULONG dh1024_160_g[] = {
  76     0x855E6EEB22B3B2E5ULL, 0x858F4DCEF97C2A24ULL, 0x2D779D5918D08BC8ULL,
  77     0xD662A4D18E73AFA3ULL, 0x1DBF0A0169B6A28AULL, 0xA6A24C087A091F53ULL,
  78     0x909D0D2263F80A76ULL, 0xD7FBD7D3B9A92EE1ULL, 0x5E91547F9E2749F4ULL,
  79     0x160217B4B01B886AULL, 0x777E690F5504F213ULL, 0x266FEA1E5C41564BULL,
  80     0xD6406CFF14266D31ULL, 0xF8104DD258AC507FULL, 0x6765A442EFB99905ULL,
  81     0xA4D1CBD5C3FD3412ULL
  82 };
  83
  84 static const BN_ULONG dh1024_160_q[] = {
  85     0x64B7CB9D49462353ULL, 0x81A8DF278ABA4E7DULL, 0x00000000F518AA87ULL
  86 };
  87
  88 static const BN_ULONG dh2048_224_p[] = {
  89     0x0AC4DFFE0C10E64FULL, 0xCF9DE5384E71B81CULL, 0x7EF363E2FFA31F71ULL,
  90     0xE3FB73C16B8E75B9ULL, 0xC9B53DCF4BA80A29ULL, 0x23F10B0E16E79763ULL,
  91     0xC52172E413042E9BULL, 0xBE60E69CC928B2B9ULL, 0x80CD86A1B9E587E8ULL,
  92     0x315D75E198C641A4ULL, 0xCDF93ACC44328387ULL, 0x15987D9ADC0A486DULL,
  93     0x7310F7121FD5A074ULL, 0x278273C7DE31EFDCULL, 0x1602E714415D9330ULL,
  94     0x81286130BC8985DBULL, 0xB3BF8A3170918836ULL, 0x6A00E0A0B9C49708ULL,
  95     0xC6BA0B2C8BBC27BEULL, 0xC9F98D11ED34DBF6ULL, 0x7AD5B7D0B6C12207ULL,
  96     0xD91E8FEF55B7394BULL, 0x9037C9EDEFDA4DF8ULL, 0x6D3F8152AD6AC212ULL,
  97     0x1DE6B85A1274A0A6ULL, 0xEB3D688A309C180EULL, 0xAF9A3C407BA1DF15ULL,
  98     0xE6FA141DF95A56DBULL, 0xB54B1597B61D0A75ULL, 0xA20D64E5683B9FD1ULL,
  99     0xD660FAA79559C51FULL, 0xAD107E1E9123A9D0ULL
 100 };
 101
 102 static const BN_ULONG dh2048_224_g[] = {
 103     0x84B890D3191F2BFAULL, 0x81BC087F2A7065B3ULL, 0x19C418E1F6EC0179ULL,
 104     0x7B5A0F1C71CFFF4CULL, 0xEDFE72FE9B6AA4BDULL, 0x81E1BCFE94B30269ULL,
 105     0x566AFBB48D6C0191ULL, 0xB539CCE3409D13CDULL, 0x6AA21E7F5F2FF381ULL,
 106     0xD9E263E4770589EFULL, 0x10E183EDD19963DDULL, 0xB70A8137150B8EEBULL,
 107     0x051AE3D428C8F8ACULL, 0xBB77A86F0C1AB15BULL, 0x6E3025E316A330EFULL,
 108     0x19529A45D6F83456ULL, 0xF180EB34118E98D1ULL, 0xB5F6C6B250717CBEULL,
 109     0x09939D54DA7460CDULL, 0xE247150422EA1ED4ULL, 0xB8A762D0521BC98AULL,
 110     0xF4D027275AC1348BULL, 0xC17669101999024AULL, 0xBE5E9001A8D66AD7ULL,
 111     0xC57DB17C620A8652ULL, 0xAB739D7700C29F52ULL, 0xDD921F01A70C4AFAULL,
 112     0xA6824A4E10B9A6F0ULL, 0x74866A08CFE4FFE3ULL, 0x6CDEBE7B89998CAFULL,
 113     0x9DF30B5C8FFDAC50ULL, 0xAC4032EF4F2D9AE3ULL
 114 };
 115
 116 static const BN_ULONG dh2048_224_q[] = {
 117     0xBF389A99B36371EBULL, 0x1F80535A4738CEBCULL, 0xC58D93FE99717710ULL,
 118     0x00000000801C0D34ULL
 119 };
 120
 121 static const BN_ULONG dh2048_256_p[] = {
 122     0xDB094AE91E1A1597ULL, 0x693877FAD7EF09CAULL, 0x6116D2276E11715FULL,
 123     0xA4B54330C198AF12ULL, 0x75F26375D7014103ULL, 0xC3A3960A54E710C3ULL,
 124     0xDED4010ABD0BE621ULL, 0xC0B857F689962856ULL, 0xB3CA3F7971506026ULL,
 125     0x1CCACB83E6B486F6ULL, 0x67E144E514056425ULL, 0xF6A167B5A41825D9ULL,
 126     0x3AD8347796524D8EULL, 0xF13C6D9A51BFA4ABULL, 0x2D52526735488A0EULL,
 127     0xB63ACAE1CAA6B790ULL, 0x4FDB70C581B23F76ULL, 0xBC39A0BF12307F5CULL,
 128     0xB941F54EB1E59BB8ULL, 0x6C5BFC11D45F9088ULL, 0x22E0B1EF4275BF7BULL,
 129     0x91F9E6725B4758C0ULL, 0x5A8A9D306BCF67EDULL, 0x209E0C6497517ABDULL,
 130     0x3BF4296D830E9A7CULL, 0x16C3D91134096FAAULL, 0xFAF7DF4561B2AA30ULL,
 131     0xE00DF8F1D61957D4ULL, 0x5D2CEED4435E3B00ULL, 0x8CEEF608660DD0F2ULL,
 132     0xFFBBD19C65195999ULL, 0x87A8E61DB4B6663CULL
 133 };
 134
 135 static const BN_ULONG dh2048_256_g[] = {
 136     0x664B4C0F6CC41659ULL, 0x5E2327CFEF98C582ULL, 0xD647D148D4795451ULL,
 137     0x2F63078490F00EF8ULL, 0x184B523D1DB246C3ULL, 0xC7891428CDC67EB6ULL,
 138     0x7FD028370DF92B52ULL, 0xB3353BBB64E0EC37ULL, 0xECD06E1557CD0915ULL,
 139     0xB7D2BBD2DF016199ULL, 0xC8484B1E052588B9ULL, 0xDB2A3B7313D3FE14ULL,
 140     0xD052B985D182EA0AULL, 0xA4BD1BFFE83B9C80ULL, 0xDFC967C1FB3F2E55ULL,
 141     0xB5045AF2767164E1ULL, 0x1D14348F6F2F9193ULL, 0x64E67982428EBC83ULL,
 142     0x8AC376D282D6ED38ULL, 0x777DE62AAAB8A862ULL, 0xDDF463E5E9EC144BULL,
 143     0x0196F931C77A57F2ULL, 0xA55AE31341000A65ULL, 0x901228F8C28CBB18ULL,
 144     0xBC3773BF7E8C6F62ULL, 0xBE3A6C1B0C6B47B1ULL, 0xFF4FED4AAC0BB555ULL,
 145     0x10DBC15077BE463FULL, 0x07F4793A1A0BA125ULL, 0x4CA7B18F21EF2054ULL,
 146     0x2E77506660EDBD48ULL, 0x3FB32C9B73134D0BULL
 147 };
 148
 149 static const BN_ULONG dh2048_256_q[] = {
 150     0xA308B0FE64F5FBD3ULL, 0x99B1A47D1EB3750BULL, 0xB447997640129DA2ULL,
 151     0x8CF83642A709A097ULL
 152 };
 153
 154 # elif BN_BITS2 == 32
 155
 156 static const BN_ULONG dh1024_160_p[] = {
 157     0x2E4A4371, 0xDF1FB2BC, 0x6D4DA708, 0xE68CFDA7, 0x365C1A65, 0x45BF37DF,
 158     0x0DC8B4BD, 0xA151AF5F, 0xF55BCCC0, 0xFAA31A4F, 0xE5644738, 0x4EFFD6FA,
 159     0x219A7372, 0x98488E9C, 0x90C4BD70, 0xACCBDD7D, 0xD49B83BF, 0x24975C3C,
 160     0xA9061123, 0x13ECB4AE, 0x2EE652C0, 0x9838EF1E, 0x75A23D18, 0x6073E286,
 161     0x52D23B61, 0x9A6A9DCA, 0xFB06A3C6, 0x52C99FBC, 0xAE5D54EC, 0xDE92DE5E,
 162     0xA080E01D, 0xB10B8F96
 163 };
 164
 165 static const BN_ULONG dh1024_160_g[] = {
 166     0x22B3B2E5, 0x855E6EEB, 0xF97C2A24, 0x858F4DCE, 0x18D08BC8, 0x2D779D59,
 167     0x8E73AFA3, 0xD662A4D1, 0x69B6A28A, 0x1DBF0A01, 0x7A091F53, 0xA6A24C08,
 168     0x63F80A76, 0x909D0D22, 0xB9A92EE1, 0xD7FBD7D3, 0x9E2749F4, 0x5E91547F,
 169     0xB01B886A, 0x160217B4, 0x5504F213, 0x777E690F, 0x5C41564B, 0x266FEA1E,
 170     0x14266D31, 0xD6406CFF, 0x58AC507F, 0xF8104DD2, 0xEFB99905, 0x6765A442,
 171     0xC3FD3412, 0xA4D1CBD5
 172 };
 173
 174 static const BN_ULONG dh1024_160_q[] = {
 175     0x49462353, 0x64B7CB9D, 0x8ABA4E7D, 0x81A8DF27, 0xF518AA87
 176 };
 177
 178 static const BN_ULONG dh2048_224_p[] = {
 179     0x0C10E64F, 0x0AC4DFFE, 0x4E71B81C, 0xCF9DE538, 0xFFA31F71, 0x7EF363E2,
 180     0x6B8E75B9, 0xE3FB73C1, 0x4BA80A29, 0xC9B53DCF, 0x16E79763, 0x23F10B0E,
 181     0x13042E9B, 0xC52172E4, 0xC928B2B9, 0xBE60E69C, 0xB9E587E8, 0x80CD86A1,
 182     0x98C641A4, 0x315D75E1, 0x44328387, 0xCDF93ACC, 0xDC0A486D, 0x15987D9A,
 183     0x1FD5A074, 0x7310F712, 0xDE31EFDC, 0x278273C7, 0x415D9330, 0x1602E714,
 184     0xBC8985DB, 0x81286130, 0x70918836, 0xB3BF8A31, 0xB9C49708, 0x6A00E0A0,
 185     0x8BBC27BE, 0xC6BA0B2C, 0xED34DBF6, 0xC9F98D11, 0xB6C12207, 0x7AD5B7D0,
 186     0x55B7394B, 0xD91E8FEF, 0xEFDA4DF8, 0x9037C9ED, 0xAD6AC212, 0x6D3F8152,
 187     0x1274A0A6, 0x1DE6B85A, 0x309C180E, 0xEB3D688A, 0x7BA1DF15, 0xAF9A3C40,
 188     0xF95A56DB, 0xE6FA141D, 0xB61D0A75, 0xB54B1597, 0x683B9FD1, 0xA20D64E5,
 189     0x9559C51F, 0xD660FAA7, 0x9123A9D0, 0xAD107E1E
 190 };
 191
 192 static const BN_ULONG dh2048_224_g[] = {
 193     0x191F2BFA, 0x84B890D3, 0x2A7065B3, 0x81BC087F, 0xF6EC0179, 0x19C418E1,
 194     0x71CFFF4C, 0x7B5A0F1C, 0x9B6AA4BD, 0xEDFE72FE, 0x94B30269, 0x81E1BCFE,
 195     0x8D6C0191, 0x566AFBB4, 0x409D13CD, 0xB539CCE3, 0x5F2FF381, 0x6AA21E7F,
 196     0x770589EF, 0xD9E263E4, 0xD19963DD, 0x10E183ED, 0x150B8EEB, 0xB70A8137,
 197     0x28C8F8AC, 0x051AE3D4, 0x0C1AB15B, 0xBB77A86F, 0x16A330EF, 0x6E3025E3,
 198     0xD6F83456, 0x19529A45, 0x118E98D1, 0xF180EB34, 0x50717CBE, 0xB5F6C6B2,
 199     0xDA7460CD, 0x09939D54, 0x22EA1ED4, 0xE2471504, 0x521BC98A, 0xB8A762D0,
 200     0x5AC1348B, 0xF4D02727, 0x1999024A, 0xC1766910, 0xA8D66AD7, 0xBE5E9001,
 201     0x620A8652, 0xC57DB17C, 0x00C29F52, 0xAB739D77, 0xA70C4AFA, 0xDD921F01,
 202     0x10B9A6F0, 0xA6824A4E, 0xCFE4FFE3, 0x74866A08, 0x89998CAF, 0x6CDEBE7B,
 203     0x8FFDAC50, 0x9DF30B5C, 0x4F2D9AE3, 0xAC4032EF
 204 };
 205
 206 static const BN_ULONG dh2048_224_q[] = {
 207     0xB36371EB, 0xBF389A99, 0x4738CEBC, 0x1F80535A, 0x99717710, 0xC58D93FE,
 208     0x801C0D34
 209 };
 210
 211 static const BN_ULONG dh2048_256_p[] = {
 212     0x1E1A1597, 0xDB094AE9, 0xD7EF09CA, 0x693877FA, 0x6E11715F, 0x6116D227,
 213     0xC198AF12, 0xA4B54330, 0xD7014103, 0x75F26375, 0x54E710C3, 0xC3A3960A,
 214     0xBD0BE621, 0xDED4010A, 0x89962856, 0xC0B857F6, 0x71506026, 0xB3CA3F79,
 215     0xE6B486F6, 0x1CCACB83, 0x14056425, 0x67E144E5, 0xA41825D9, 0xF6A167B5,
 216     0x96524D8E, 0x3AD83477, 0x51BFA4AB, 0xF13C6D9A, 0x35488A0E, 0x2D525267,
 217     0xCAA6B790, 0xB63ACAE1, 0x81B23F76, 0x4FDB70C5, 0x12307F5C, 0xBC39A0BF,
 218     0xB1E59BB8, 0xB941F54E, 0xD45F9088, 0x6C5BFC11, 0x4275BF7B, 0x22E0B1EF,
 219     0x5B4758C0, 0x91F9E672, 0x6BCF67ED, 0x5A8A9D30, 0x97517ABD, 0x209E0C64,
 220     0x830E9A7C, 0x3BF4296D, 0x34096FAA, 0x16C3D911, 0x61B2AA30, 0xFAF7DF45,
 221     0xD61957D4, 0xE00DF8F1, 0x435E3B00, 0x5D2CEED4, 0x660DD0F2, 0x8CEEF608,
 222     0x65195999, 0xFFBBD19C, 0xB4B6663C, 0x87A8E61D
 223 };
 224
 225 static const BN_ULONG dh2048_256_g[] = {
 226     0x6CC41659, 0x664B4C0F, 0xEF98C582, 0x5E2327CF, 0xD4795451, 0xD647D148,
 227     0x90F00EF8, 0x2F630784, 0x1DB246C3, 0x184B523D, 0xCDC67EB6, 0xC7891428,
 228     0x0DF92B52, 0x7FD02837, 0x64E0EC37, 0xB3353BBB, 0x57CD0915, 0xECD06E15,
 229     0xDF016199, 0xB7D2BBD2, 0x052588B9, 0xC8484B1E, 0x13D3FE14, 0xDB2A3B73,
 230     0xD182EA0A, 0xD052B985, 0xE83B9C80, 0xA4BD1BFF, 0xFB3F2E55, 0xDFC967C1,
 231     0x767164E1, 0xB5045AF2, 0x6F2F9193, 0x1D14348F, 0x428EBC83, 0x64E67982,
 232     0x82D6ED38, 0x8AC376D2, 0xAAB8A862, 0x777DE62A, 0xE9EC144B, 0xDDF463E5,
 233     0xC77A57F2, 0x0196F931, 0x41000A65, 0xA55AE313, 0xC28CBB18, 0x901228F8,
 234     0x7E8C6F62, 0xBC3773BF, 0x0C6B47B1, 0xBE3A6C1B, 0xAC0BB555, 0xFF4FED4A,
 235     0x77BE463F, 0x10DBC150, 0x1A0BA125, 0x07F4793A, 0x21EF2054, 0x4CA7B18F,
 236     0x60EDBD48, 0x2E775066, 0x73134D0B, 0x3FB32C9B
 237 };
 238
 239 static const BN_ULONG dh2048_256_q[] = {
 240     0x64F5FBD3, 0xA308B0FE, 0x1EB3750B, 0x99B1A47D, 0x40129DA2, 0xB4479976,
 241     0xA709A097, 0x8CF83642
 242 };
 243
 244 # else
 245 #  error "unsupported BN_BITS2"
 246 # endif
 247
 248 /* Macro to make a BIGNUM from static data */
 249
 250 # define make_dh_bn(x) const BIGNUM _bignum_##x = { (BN_ULONG *) x, \
 251                         OSSL_NELEM(x),\
 252                         OSSL_NELEM(x),\
 253                         0, BN_FLG_STATIC_DATA };
 254
 255
 256 make_dh_bn(dh1024_160_p)
 257 make_dh_bn(dh1024_160_g)
 258 make_dh_bn(dh1024_160_q)
 259 make_dh_bn(dh2048_224_p)
 260 make_dh_bn(dh2048_224_g)
 261 make_dh_bn(dh2048_224_q)
 262 make_dh_bn(dh2048_256_p)
 263 make_dh_bn(dh2048_256_g)
 264 make_dh_bn(dh2048_256_q)
 265
 266 #endif