openssl/crypto/bn/bn_dh.c

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/* Written by Dr Stephen N Henson (steve@openssl.org) for the OpenSSL
* project 2011.
*/
/* ====================================================================
* Copyright (c) 2011 The OpenSSL Project. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
*
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
*
* 3. All advertising materials mentioning features or use of this
* software must display the following acknowledgment:
* "This product includes software developed by the OpenSSL Project
* for use in the OpenSSL Toolkit. (http://www.OpenSSL.org/)"
*
* 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
* endorse or promote products derived from this software without
* prior written permission. For written permission, please contact
* licensing@OpenSSL.org.
*
* 5. Products derived from this software may not be called "OpenSSL"
* nor may "OpenSSL" appear in their names without prior written
* permission of the OpenSSL Project.
*
* 6. Redistributions of any form whatsoever must retain the following
* acknowledgment:
* "This product includes software developed by the OpenSSL Project
* for use in the OpenSSL Toolkit (http://www.OpenSSL.org/)"
*
* THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
* EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
* ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
* STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
* OF THE POSSIBILITY OF SUCH DAMAGE.
* ====================================================================
*
* This product includes cryptographic software written by Eric Young
* (eay@cryptsoft.com). This product includes software written by Tim
* Hudson (tjh@cryptsoft.com).
*
*/
#include "bn_lcl.h"
#ifndef OPENSSL_NO_DH
/* DH parameters from RFC5114 */
#if BN_BITS2 == 64
static const BN_ULONG dh1024_160_p[] = {
0xDF1FB2BC2E4A4371ULL,0xE68CFDA76D4DA708ULL,0x45BF37DF365C1A65ULL,
0xA151AF5F0DC8B4BDULL,0xFAA31A4FF55BCCC0ULL,0x4EFFD6FAE5644738ULL,
0x98488E9C219A7372ULL,0xACCBDD7D90C4BD70ULL,0x24975C3CD49B83BFULL,
0x13ECB4AEA9061123ULL,0x9838EF1E2EE652C0ULL,0x6073E28675A23D18ULL,
0x9A6A9DCA52D23B61ULL,0x52C99FBCFB06A3C6ULL,0xDE92DE5EAE5D54ECULL,
0xB10B8F96A080E01DULL
};
static const BN_ULONG dh1024_160_g[] = {
0x855E6EEB22B3B2E5ULL,0x858F4DCEF97C2A24ULL,0x2D779D5918D08BC8ULL,
0xD662A4D18E73AFA3ULL,0x1DBF0A0169B6A28AULL,0xA6A24C087A091F53ULL,
0x909D0D2263F80A76ULL,0xD7FBD7D3B9A92EE1ULL,0x5E91547F9E2749F4ULL,
0x160217B4B01B886AULL,0x777E690F5504F213ULL,0x266FEA1E5C41564BULL,
0xD6406CFF14266D31ULL,0xF8104DD258AC507FULL,0x6765A442EFB99905ULL,
0xA4D1CBD5C3FD3412ULL
};
static const BN_ULONG dh1024_160_q[] = {
0x64B7CB9D49462353ULL,0x81A8DF278ABA4E7DULL,0x00000000F518AA87ULL
};
static const BN_ULONG dh2048_224_p[] = {
0x0AC4DFFE0C10E64FULL,0xCF9DE5384E71B81CULL,0x7EF363E2FFA31F71ULL,
0xE3FB73C16B8E75B9ULL,0xC9B53DCF4BA80A29ULL,0x23F10B0E16E79763ULL,
0xC52172E413042E9BULL,0xBE60E69CC928B2B9ULL,0x80CD86A1B9E587E8ULL,
0x315D75E198C641A4ULL,0xCDF93ACC44328387ULL,0x15987D9ADC0A486DULL,
0x7310F7121FD5A074ULL,0x278273C7DE31EFDCULL,0x1602E714415D9330ULL,
0x81286130BC8985DBULL,0xB3BF8A3170918836ULL,0x6A00E0A0B9C49708ULL,
0xC6BA0B2C8BBC27BEULL,0xC9F98D11ED34DBF6ULL,0x7AD5B7D0B6C12207ULL,
0xD91E8FEF55B7394BULL,0x9037C9EDEFDA4DF8ULL,0x6D3F8152AD6AC212ULL,
0x1DE6B85A1274A0A6ULL,0xEB3D688A309C180EULL,0xAF9A3C407BA1DF15ULL,
0xE6FA141DF95A56DBULL,0xB54B1597B61D0A75ULL,0xA20D64E5683B9FD1ULL,
0xD660FAA79559C51FULL,0xAD107E1E9123A9D0ULL
};
static const BN_ULONG dh2048_224_g[] = {
0x84B890D3191F2BFAULL,0x81BC087F2A7065B3ULL,0x19C418E1F6EC0179ULL,
0x7B5A0F1C71CFFF4CULL,0xEDFE72FE9B6AA4BDULL,0x81E1BCFE94B30269ULL,
0x566AFBB48D6C0191ULL,0xB539CCE3409D13CDULL,0x6AA21E7F5F2FF381ULL,
0xD9E263E4770589EFULL,0x10E183EDD19963DDULL,0xB70A8137150B8EEBULL,
0x051AE3D428C8F8ACULL,0xBB77A86F0C1AB15BULL,0x6E3025E316A330EFULL,
0x19529A45D6F83456ULL,0xF180EB34118E98D1ULL,0xB5F6C6B250717CBEULL,
0x09939D54DA7460CDULL,0xE247150422EA1ED4ULL,0xB8A762D0521BC98AULL,
0xF4D027275AC1348BULL,0xC17669101999024AULL,0xBE5E9001A8D66AD7ULL,
0xC57DB17C620A8652ULL,0xAB739D7700C29F52ULL,0xDD921F01A70C4AFAULL,
0xA6824A4E10B9A6F0ULL,0x74866A08CFE4FFE3ULL,0x6CDEBE7B89998CAFULL,
0x9DF30B5C8FFDAC50ULL,0xAC4032EF4F2D9AE3ULL
};
static const BN_ULONG dh2048_224_q[] = {
0xBF389A99B36371EBULL,0x1F80535A4738CEBCULL,0xC58D93FE99717710ULL,
0x00000000801C0D34ULL
};
static const BN_ULONG dh2048_256_p[] = {
0xDB094AE91E1A1597ULL,0x693877FAD7EF09CAULL,0x6116D2276E11715FULL,
0xA4B54330C198AF12ULL,0x75F26375D7014103ULL,0xC3A3960A54E710C3ULL,
0xDED4010ABD0BE621ULL,0xC0B857F689962856ULL,0xB3CA3F7971506026ULL,
0x1CCACB83E6B486F6ULL,0x67E144E514056425ULL,0xF6A167B5A41825D9ULL,
0x3AD8347796524D8EULL,0xF13C6D9A51BFA4ABULL,0x2D52526735488A0EULL,
0xB63ACAE1CAA6B790ULL,0x4FDB70C581B23F76ULL,0xBC39A0BF12307F5CULL,
0xB941F54EB1E59BB8ULL,0x6C5BFC11D45F9088ULL,0x22E0B1EF4275BF7BULL,
0x91F9E6725B4758C0ULL,0x5A8A9D306BCF67EDULL,0x209E0C6497517ABDULL,
0x3BF4296D830E9A7CULL,0x16C3D91134096FAAULL,0xFAF7DF4561B2AA30ULL,
0xE00DF8F1D61957D4ULL,0x5D2CEED4435E3B00ULL,0x8CEEF608660DD0F2ULL,
0xFFBBD19C65195999ULL,0x87A8E61DB4B6663CULL
};
static const BN_ULONG dh2048_256_g[] = {
0x664B4C0F6CC41659ULL,0x5E2327CFEF98C582ULL,0xD647D148D4795451ULL,
0x2F63078490F00EF8ULL,0x184B523D1DB246C3ULL,0xC7891428CDC67EB6ULL,
0x7FD028370DF92B52ULL,0xB3353BBB64E0EC37ULL,0xECD06E1557CD0915ULL,
0xB7D2BBD2DF016199ULL,0xC8484B1E052588B9ULL,0xDB2A3B7313D3FE14ULL,
0xD052B985D182EA0AULL,0xA4BD1BFFE83B9C80ULL,0xDFC967C1FB3F2E55ULL,
0xB5045AF2767164E1ULL,0x1D14348F6F2F9193ULL,0x64E67982428EBC83ULL,
0x8AC376D282D6ED38ULL,0x777DE62AAAB8A862ULL,0xDDF463E5E9EC144BULL,
0x0196F931C77A57F2ULL,0xA55AE31341000A65ULL,0x901228F8C28CBB18ULL,
0xBC3773BF7E8C6F62ULL,0xBE3A6C1B0C6B47B1ULL,0xFF4FED4AAC0BB555ULL,
0x10DBC15077BE463FULL,0x07F4793A1A0BA125ULL,0x4CA7B18F21EF2054ULL,
0x2E77506660EDBD48ULL,0x3FB32C9B73134D0BULL
};
static const BN_ULONG dh2048_256_q[] = {
0xA308B0FE64F5FBD3ULL,0x99B1A47D1EB3750BULL,0xB447997640129DA2ULL,
0x8CF83642A709A097ULL
};
#elif BN_BITS2 == 32
static const BN_ULONG dh1024_160_p[] = {
0x2E4A4371,0xDF1FB2BC,0x6D4DA708,0xE68CFDA7,0x365C1A65,0x45BF37DF,
0x0DC8B4BD,0xA151AF5F,0xF55BCCC0,0xFAA31A4F,0xE5644738,0x4EFFD6FA,
0x219A7372,0x98488E9C,0x90C4BD70,0xACCBDD7D,0xD49B83BF,0x24975C3C,
0xA9061123,0x13ECB4AE,0x2EE652C0,0x9838EF1E,0x75A23D18,0x6073E286,
0x52D23B61,0x9A6A9DCA,0xFB06A3C6,0x52C99FBC,0xAE5D54EC,0xDE92DE5E,
0xA080E01D,0xB10B8F96
};
static const BN_ULONG dh1024_160_g[] = {
0x22B3B2E5,0x855E6EEB,0xF97C2A24,0x858F4DCE,0x18D08BC8,0x2D779D59,
0x8E73AFA3,0xD662A4D1,0x69B6A28A,0x1DBF0A01,0x7A091F53,0xA6A24C08,
0x63F80A76,0x909D0D22,0xB9A92EE1,0xD7FBD7D3,0x9E2749F4,0x5E91547F,
0xB01B886A,0x160217B4,0x5504F213,0x777E690F,0x5C41564B,0x266FEA1E,
0x14266D31,0xD6406CFF,0x58AC507F,0xF8104DD2,0xEFB99905,0x6765A442,
0xC3FD3412,0xA4D1CBD5
};
static const BN_ULONG dh1024_160_q[] = {
0x49462353,0x64B7CB9D,0x8ABA4E7D,0x81A8DF27,0xF518AA87
};
static const BN_ULONG dh2048_224_p[] = {
0x0C10E64F,0x0AC4DFFE,0x4E71B81C,0xCF9DE538,0xFFA31F71,0x7EF363E2,
0x6B8E75B9,0xE3FB73C1,0x4BA80A29,0xC9B53DCF,0x16E79763,0x23F10B0E,
0x13042E9B,0xC52172E4,0xC928B2B9,0xBE60E69C,0xB9E587E8,0x80CD86A1,
0x98C641A4,0x315D75E1,0x44328387,0xCDF93ACC,0xDC0A486D,0x15987D9A,
0x1FD5A074,0x7310F712,0xDE31EFDC,0x278273C7,0x415D9330,0x1602E714,
0xBC8985DB,0x81286130,0x70918836,0xB3BF8A31,0xB9C49708,0x6A00E0A0,
0x8BBC27BE,0xC6BA0B2C,0xED34DBF6,0xC9F98D11,0xB6C12207,0x7AD5B7D0,
0x55B7394B,0xD91E8FEF,0xEFDA4DF8,0x9037C9ED,0xAD6AC212,0x6D3F8152,
0x1274A0A6,0x1DE6B85A,0x309C180E,0xEB3D688A,0x7BA1DF15,0xAF9A3C40,
0xF95A56DB,0xE6FA141D,0xB61D0A75,0xB54B1597,0x683B9FD1,0xA20D64E5,
0x9559C51F,0xD660FAA7,0x9123A9D0,0xAD107E1E
};
static const BN_ULONG dh2048_224_g[] = {
0x191F2BFA,0x84B890D3,0x2A7065B3,0x81BC087F,0xF6EC0179,0x19C418E1,
0x71CFFF4C,0x7B5A0F1C,0x9B6AA4BD,0xEDFE72FE,0x94B30269,0x81E1BCFE,
0x8D6C0191,0x566AFBB4,0x409D13CD,0xB539CCE3,0x5F2FF381,0x6AA21E7F,
0x770589EF,0xD9E263E4,0xD19963DD,0x10E183ED,0x150B8EEB,0xB70A8137,
0x28C8F8AC,0x051AE3D4,0x0C1AB15B,0xBB77A86F,0x16A330EF,0x6E3025E3,
0xD6F83456,0x19529A45,0x118E98D1,0xF180EB34,0x50717CBE,0xB5F6C6B2,
0xDA7460CD,0x09939D54,0x22EA1ED4,0xE2471504,0x521BC98A,0xB8A762D0,
0x5AC1348B,0xF4D02727,0x1999024A,0xC1766910,0xA8D66AD7,0xBE5E9001,
0x620A8652,0xC57DB17C,0x00C29F52,0xAB739D77,0xA70C4AFA,0xDD921F01,
0x10B9A6F0,0xA6824A4E,0xCFE4FFE3,0x74866A08,0x89998CAF,0x6CDEBE7B,
0x8FFDAC50,0x9DF30B5C,0x4F2D9AE3,0xAC4032EF
};
static const BN_ULONG dh2048_224_q[] = {
0xB36371EB,0xBF389A99,0x4738CEBC,0x1F80535A,0x99717710,0xC58D93FE,
0x801C0D34
};
static const BN_ULONG dh2048_256_p[] = {
0x1E1A1597,0xDB094AE9,0xD7EF09CA,0x693877FA,0x6E11715F,0x6116D227,
0xC198AF12,0xA4B54330,0xD7014103,0x75F26375,0x54E710C3,0xC3A3960A,
0xBD0BE621,0xDED4010A,0x89962856,0xC0B857F6,0x71506026,0xB3CA3F79,
0xE6B486F6,0x1CCACB83,0x14056425,0x67E144E5,0xA41825D9,0xF6A167B5,
0x96524D8E,0x3AD83477,0x51BFA4AB,0xF13C6D9A,0x35488A0E,0x2D525267,
0xCAA6B790,0xB63ACAE1,0x81B23F76,0x4FDB70C5,0x12307F5C,0xBC39A0BF,
0xB1E59BB8,0xB941F54E,0xD45F9088,0x6C5BFC11,0x4275BF7B,0x22E0B1EF,
0x5B4758C0,0x91F9E672,0x6BCF67ED,0x5A8A9D30,0x97517ABD,0x209E0C64,
0x830E9A7C,0x3BF4296D,0x34096FAA,0x16C3D911,0x61B2AA30,0xFAF7DF45,
0xD61957D4,0xE00DF8F1,0x435E3B00,0x5D2CEED4,0x660DD0F2,0x8CEEF608,
0x65195999,0xFFBBD19C,0xB4B6663C,0x87A8E61D
};
static const BN_ULONG dh2048_256_g[] = {
0x6CC41659,0x664B4C0F,0xEF98C582,0x5E2327CF,0xD4795451,0xD647D148,
0x90F00EF8,0x2F630784,0x1DB246C3,0x184B523D,0xCDC67EB6,0xC7891428,
0x0DF92B52,0x7FD02837,0x64E0EC37,0xB3353BBB,0x57CD0915,0xECD06E15,
0xDF016199,0xB7D2BBD2,0x052588B9,0xC8484B1E,0x13D3FE14,0xDB2A3B73,
0xD182EA0A,0xD052B985,0xE83B9C80,0xA4BD1BFF,0xFB3F2E55,0xDFC967C1,
0x767164E1,0xB5045AF2,0x6F2F9193,0x1D14348F,0x428EBC83,0x64E67982,
0x82D6ED38,0x8AC376D2,0xAAB8A862,0x777DE62A,0xE9EC144B,0xDDF463E5,
0xC77A57F2,0x0196F931,0x41000A65,0xA55AE313,0xC28CBB18,0x901228F8,
0x7E8C6F62,0xBC3773BF,0x0C6B47B1,0xBE3A6C1B,0xAC0BB555,0xFF4FED4A,
0x77BE463F,0x10DBC150,0x1A0BA125,0x07F4793A,0x21EF2054,0x4CA7B18F,
0x60EDBD48,0x2E775066,0x73134D0B,0x3FB32C9B
};
static const BN_ULONG dh2048_256_q[] = {
0x64F5FBD3,0xA308B0FE,0x1EB3750B,0x99B1A47D,0x40129DA2,0xB4479976,
0xA709A097,0x8CF83642
};
#else
#error "unsupported BN_BITS2"
#endif
/* Macro to make a BIGNUM from static data */
#define make_dh_bn(x) const BIGNUM _bignum_##x = { (BN_ULONG *) x, \
sizeof(x)/sizeof(BN_ULONG),\
sizeof(x)/sizeof(BN_ULONG),\
0, BN_FLG_STATIC_DATA };
make_dh_bn(dh1024_160_p)
make_dh_bn(dh1024_160_g)
make_dh_bn(dh1024_160_q)
make_dh_bn(dh2048_224_p)
make_dh_bn(dh2048_224_g)
make_dh_bn(dh2048_224_q)
make_dh_bn(dh2048_256_p)
make_dh_bn(dh2048_256_g)
make_dh_bn(dh2048_256_q)
#endif