dist/wpa/src/crypto/dh_groups.c

   1 /*
   2  * Diffie-Hellman groups
   3  * Copyright (c) 2007, Jouni Malinen <j@w1.fi>
   4  *
   5  * This program is free software; you can redistribute it and/or modify
   6  * it under the terms of the GNU General Public License version 2 as
   7  * published by the Free Software Foundation.
   8  *
   9  * Alternatively, this software may be distributed under the terms of BSD
  10  * license.
  11  *
  12  * See README and COPYING for more details.
  13  */
  14
  15 #include "includes.h"
  16
  17 #include "common.h"
  18 #include "crypto.h"
  19 #include "dh_groups.h"
  20
  21
  22 /* RFC 4306, B.1. Group 1 - 768 Bit MODP
  23  * Generator: 2
  24  * Prime: 2^768 - 2 ^704 - 1 + 2^64 * { [2^638 pi] + 149686 }
  25  */
  26 static const u8 dh_group1_generator[1] = { 0x02 };
  27 static const u8 dh_group1_prime[96] = {
  28         0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
  29         0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
  30         0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
  31         0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
  32         0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
  33         0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
  34         0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
  35         0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
  36         0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
  37         0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
  38         0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x3A, 0x36, 0x20,
  39         0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF
  40 };
  41
  42 /* RFC 4306, B.2. Group 2 - 1024 Bit MODP
  43  * Generator: 2
  44  * Prime: 2^1024 - 2^960 - 1 + 2^64 * { [2^894 pi] + 129093 }
  45  */
  46 static const u8 dh_group2_generator[1] = { 0x02 };
  47 static const u8 dh_group2_prime[128] = {
  48         0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
  49         0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
  50         0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
  51         0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
  52         0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
  53         0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
  54         0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
  55         0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
  56         0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
  57         0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
  58         0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
  59         0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
  60         0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
  61         0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
  62         0x49, 0x28, 0x66, 0x51, 0xEC, 0xE6, 0x53, 0x81,
  63         0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF
  64 };
  65
  66 /* RFC 3526, 2. Group 5 - 1536 Bit MODP
  67  * Generator: 2
  68  * Prime: 2^1536 - 2^1472 - 1 + 2^64 * { [2^1406 pi] + 741804 }
  69  */
  70 static const u8 dh_group5_generator[1] = { 0x02 };
  71 static const u8 dh_group5_prime[192] = {
  72         0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
  73         0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
  74         0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
  75         0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
  76         0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
  77         0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
  78         0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
  79         0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
  80         0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
  81         0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
  82         0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
  83         0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
  84         0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
  85         0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
  86         0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
  87         0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05,
  88         0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A,
  89         0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
  90         0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96,
  91         0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB,
  92         0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
  93         0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04,
  94         0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x23, 0x73, 0x27,
  95         0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF
  96 };
  97
  98 /* RFC 3526, 3. Group 14 - 2048 Bit MODP
  99  * Generator: 2
 100  * Prime: 2^2048 - 2^1984 - 1 + 2^64 * { [2^1918 pi] + 124476 }
 101  */
 102 static const u8 dh_group14_generator[1] = { 0x02 };
 103 static const u8 dh_group14_prime[256] = {
 104         0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
 105         0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
 106         0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
 107         0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
 108         0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
 109         0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
 110         0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
 111         0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
 112         0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
 113         0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
 114         0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
 115         0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
 116         0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
 117         0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
 118         0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
 119         0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05,
 120         0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A,
 121         0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
 122         0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96,
 123         0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB,
 124         0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
 125         0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04,
 126         0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C,
 127         0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
 128         0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03,
 129         0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F,
 130         0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
 131         0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18,
 132         0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5,
 133         0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
 134         0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAC, 0xAA, 0x68,
 135         0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF
 136 };
 137
 138 /* RFC 3526, 4. Group 15 - 3072 Bit MODP
 139  * Generator: 2
 140  * Prime: 2^3072 - 2^3008 - 1 + 2^64 * { [2^2942 pi] + 1690314 }
 141  */
 142 static const u8 dh_group15_generator[1] = { 0x02 };
 143 static const u8 dh_group15_prime[384] = {
 144         0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
 145         0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
 146         0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
 147         0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
 148         0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
 149         0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
 150         0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
 151         0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
 152         0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
 153         0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
 154         0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
 155         0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
 156         0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
 157         0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
 158         0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
 159         0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05,
 160         0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A,
 161         0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
 162         0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96,
 163         0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB,
 164         0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
 165         0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04,
 166         0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C,
 167         0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
 168         0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03,
 169         0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F,
 170         0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
 171         0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18,
 172         0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5,
 173         0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
 174         0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D,
 175         0xAD, 0x33, 0x17, 0x0D, 0x04, 0x50, 0x7A, 0x33,
 176         0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,
 177         0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A,
 178         0x8A, 0xEA, 0x71, 0x57, 0x5D, 0x06, 0x0C, 0x7D,
 179         0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,
 180         0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7,
 181         0x1E, 0x8C, 0x94, 0xE0, 0x4A, 0x25, 0x61, 0x9D,
 182         0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,
 183         0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64,
 184         0xD8, 0x76, 0x02, 0x73, 0x3E, 0xC8, 0x6A, 0x64,
 185         0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,
 186         0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C,
 187         0x77, 0x09, 0x88, 0xC0, 0xBA, 0xD9, 0x46, 0xE2,
 188         0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,
 189         0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E,
 190         0x4B, 0x82, 0xD1, 0x20, 0xA9, 0x3A, 0xD2, 0xCA,
 191         0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF
 192 };
 193
 194 /* RFC 3526, 5. Group 16 - 4096 Bit MODP
 195  * Generator: 2
 196  * Prime: 2^4096 - 2^4032 - 1 + 2^64 * { [2^3966 pi] + 240904 }
 197  */
 198 static const u8 dh_group16_generator[1] = { 0x02 };
 199 static const u8 dh_group16_prime[512] = {
 200         0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
 201         0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
 202         0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
 203         0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
 204         0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
 205         0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
 206         0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
 207         0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
 208         0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
 209         0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
 210         0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
 211         0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
 212         0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
 213         0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
 214         0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
 215         0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05,
 216         0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A,
 217         0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
 218         0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96,
 219         0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB,
 220         0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
 221         0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04,
 222         0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C,
 223         0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
 224         0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03,
 225         0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F,
 226         0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
 227         0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18,
 228         0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5,
 229         0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
 230         0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D,
 231         0xAD, 0x33, 0x17, 0x0D, 0x04, 0x50, 0x7A, 0x33,
 232         0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,
 233         0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A,
 234         0x8A, 0xEA, 0x71, 0x57, 0x5D, 0x06, 0x0C, 0x7D,
 235         0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,
 236         0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7,
 237         0x1E, 0x8C, 0x94, 0xE0, 0x4A, 0x25, 0x61, 0x9D,
 238         0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,
 239         0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64,
 240         0xD8, 0x76, 0x02, 0x73, 0x3E, 0xC8, 0x6A, 0x64,
 241         0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,
 242         0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C,
 243         0x77, 0x09, 0x88, 0xC0, 0xBA, 0xD9, 0x46, 0xE2,
 244         0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,
 245         0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E,
 246         0x4B, 0x82, 0xD1, 0x20, 0xA9, 0x21, 0x08, 0x01,
 247         0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7,
 248         0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26,
 249         0x99, 0xC3, 0x27, 0x18, 0x6A, 0xF4, 0xE2, 0x3C,
 250         0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA,
 251         0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8,
 252         0xDB, 0xBB, 0xC2, 0xDB, 0x04, 0xDE, 0x8E, 0xF9,
 253         0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6,
 254         0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D,
 255         0x99, 0xB2, 0x96, 0x4F, 0xA0, 0x90, 0xC3, 0xA2,
 256         0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED,
 257         0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF,
 258         0xB8, 0x1B, 0xDD, 0x76, 0x21, 0x70, 0x48, 0x1C,
 259         0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9,
 260         0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1,
 261         0x86, 0xFF, 0xB7, 0xDC, 0x90, 0xA6, 0xC0, 0x8F,
 262         0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x06, 0x31, 0x99,
 263         0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF
 264 };
 265
 266 /* RFC 3526, 6. Group 17 - 6144 Bit MODP
 267  * Generator: 2
 268  * Prime: 2^6144 - 2^6080 - 1 + 2^64 * { [2^6014 pi] + 929484 }
 269  */
 270 static const u8 dh_group17_generator[1] = { 0x02 };
 271 static const u8 dh_group17_prime[768] = {
 272         0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
 273         0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
 274         0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
 275         0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
 276         0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
 277         0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
 278         0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
 279         0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
 280         0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
 281         0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
 282         0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
 283         0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
 284         0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
 285         0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
 286         0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
 287         0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05,
 288         0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A,
 289         0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
 290         0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96,
 291         0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB,
 292         0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
 293         0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04,
 294         0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C,
 295         0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
 296         0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03,
 297         0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F,
 298         0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
 299         0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18,
 300         0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5,
 301         0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
 302         0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D,
 303         0xAD, 0x33, 0x17, 0x0D, 0x04, 0x50, 0x7A, 0x33,
 304         0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,
 305         0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A,
 306         0x8A, 0xEA, 0x71, 0x57, 0x5D, 0x06, 0x0C, 0x7D,
 307         0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,
 308         0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7,
 309         0x1E, 0x8C, 0x94, 0xE0, 0x4A, 0x25, 0x61, 0x9D,
 310         0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,
 311         0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64,
 312         0xD8, 0x76, 0x02, 0x73, 0x3E, 0xC8, 0x6A, 0x64,
 313         0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,
 314         0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C,
 315         0x77, 0x09, 0x88, 0xC0, 0xBA, 0xD9, 0x46, 0xE2,
 316         0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,
 317         0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E,
 318         0x4B, 0x82, 0xD1, 0x20, 0xA9, 0x21, 0x08, 0x01,
 319         0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7,
 320         0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26,
 321         0x99, 0xC3, 0x27, 0x18, 0x6A, 0xF4, 0xE2, 0x3C,
 322         0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA,
 323         0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8,
 324         0xDB, 0xBB, 0xC2, 0xDB, 0x04, 0xDE, 0x8E, 0xF9,
 325         0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6,
 326         0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D,
 327         0x99, 0xB2, 0x96, 0x4F, 0xA0, 0x90, 0xC3, 0xA2,
 328         0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED,
 329         0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF,
 330         0xB8, 0x1B, 0xDD, 0x76, 0x21, 0x70, 0x48, 0x1C,
 331         0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9,
 332         0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1,
 333         0x86, 0xFF, 0xB7, 0xDC, 0x90, 0xA6, 0xC0, 0x8F,
 334         0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x02, 0x84, 0x92,
 335         0x36, 0xC3, 0xFA, 0xB4, 0xD2, 0x7C, 0x70, 0x26,
 336         0xC1, 0xD4, 0xDC, 0xB2, 0x60, 0x26, 0x46, 0xDE,
 337         0xC9, 0x75, 0x1E, 0x76, 0x3D, 0xBA, 0x37, 0xBD,
 338         0xF8, 0xFF, 0x94, 0x06, 0xAD, 0x9E, 0x53, 0x0E,
 339         0xE5, 0xDB, 0x38, 0x2F, 0x41, 0x30, 0x01, 0xAE,
 340         0xB0, 0x6A, 0x53, 0xED, 0x90, 0x27, 0xD8, 0x31,
 341         0x17, 0x97, 0x27, 0xB0, 0x86, 0x5A, 0x89, 0x18,
 342         0xDA, 0x3E, 0xDB, 0xEB, 0xCF, 0x9B, 0x14, 0xED,
 343         0x44, 0xCE, 0x6C, 0xBA, 0xCE, 0xD4, 0xBB, 0x1B,
 344         0xDB, 0x7F, 0x14, 0x47, 0xE6, 0xCC, 0x25, 0x4B,
 345         0x33, 0x20, 0x51, 0x51, 0x2B, 0xD7, 0xAF, 0x42,
 346         0x6F, 0xB8, 0xF4, 0x01, 0x37, 0x8C, 0xD2, 0xBF,
 347         0x59, 0x83, 0xCA, 0x01, 0xC6, 0x4B, 0x92, 0xEC,
 348         0xF0, 0x32, 0xEA, 0x15, 0xD1, 0x72, 0x1D, 0x03,
 349         0xF4, 0x82, 0xD7, 0xCE, 0x6E, 0x74, 0xFE, 0xF6,
 350         0xD5, 0x5E, 0x70, 0x2F, 0x46, 0x98, 0x0C, 0x82,
 351         0xB5, 0xA8, 0x40, 0x31, 0x90, 0x0B, 0x1C, 0x9E,
 352         0x59, 0xE7, 0xC9, 0x7F, 0xBE, 0xC7, 0xE8, 0xF3,
 353         0x23, 0xA9, 0x7A, 0x7E, 0x36, 0xCC, 0x88, 0xBE,
 354         0x0F, 0x1D, 0x45, 0xB7, 0xFF, 0x58, 0x5A, 0xC5,
 355         0x4B, 0xD4, 0x07, 0xB2, 0x2B, 0x41, 0x54, 0xAA,
 356         0xCC, 0x8F, 0x6D, 0x7E, 0xBF, 0x48, 0xE1, 0xD8,
 357         0x14, 0xCC, 0x5E, 0xD2, 0x0F, 0x80, 0x37, 0xE0,
 358         0xA7, 0x97, 0x15, 0xEE, 0xF2, 0x9B, 0xE3, 0x28,
 359         0x06, 0xA1, 0xD5, 0x8B, 0xB7, 0xC5, 0xDA, 0x76,
 360         0xF5, 0x50, 0xAA, 0x3D, 0x8A, 0x1F, 0xBF, 0xF0,
 361         0xEB, 0x19, 0xCC, 0xB1, 0xA3, 0x13, 0xD5, 0x5C,
 362         0xDA, 0x56, 0xC9, 0xEC, 0x2E, 0xF2, 0x96, 0x32,
 363         0x38, 0x7F, 0xE8, 0xD7, 0x6E, 0x3C, 0x04, 0x68,
 364         0x04, 0x3E, 0x8F, 0x66, 0x3F, 0x48, 0x60, 0xEE,
 365         0x12, 0xBF, 0x2D, 0x5B, 0x0B, 0x74, 0x74, 0xD6,
 366         0xE6, 0x94, 0xF9, 0x1E, 0x6D, 0xCC, 0x40, 0x24,
 367         0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF
 368 };
 369
 370 /* RFC 3526, 7. Group 18 - 8192 Bit MODP
 371  * Generator: 2
 372  * Prime: 2^8192 - 2^8128 - 1 + 2^64 * { [2^8062 pi] + 4743158 }
 373  */
 374 static const u8 dh_group18_generator[1] = { 0x02 };
 375 static const u8 dh_group18_prime[1024] = {
 376         0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
 377         0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
 378         0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
 379         0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
 380         0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
 381         0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
 382         0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
 383         0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
 384         0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
 385         0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
 386         0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
 387         0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
 388         0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
 389         0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
 390         0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
 391         0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05,
 392         0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A,
 393         0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
 394         0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96,
 395         0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB,
 396         0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
 397         0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04,
 398         0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C,
 399         0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
 400         0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03,
 401         0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F,
 402         0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
 403         0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18,
 404         0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5,
 405         0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
 406         0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D,
 407         0xAD, 0x33, 0x17, 0x0D, 0x04, 0x50, 0x7A, 0x33,
 408         0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,
 409         0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A,
 410         0x8A, 0xEA, 0x71, 0x57, 0x5D, 0x06, 0x0C, 0x7D,
 411         0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,
 412         0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7,
 413         0x1E, 0x8C, 0x94, 0xE0, 0x4A, 0x25, 0x61, 0x9D,
 414         0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,
 415         0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64,
 416         0xD8, 0x76, 0x02, 0x73, 0x3E, 0xC8, 0x6A, 0x64,
 417         0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,
 418         0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C,
 419         0x77, 0x09, 0x88, 0xC0, 0xBA, 0xD9, 0x46, 0xE2,
 420         0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,
 421         0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E,
 422         0x4B, 0x82, 0xD1, 0x20, 0xA9, 0x21, 0x08, 0x01,
 423         0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7,
 424         0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26,
 425         0x99, 0xC3, 0x27, 0x18, 0x6A, 0xF4, 0xE2, 0x3C,
 426         0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA,
 427         0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8,
 428         0xDB, 0xBB, 0xC2, 0xDB, 0x04, 0xDE, 0x8E, 0xF9,
 429         0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6,
 430         0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D,
 431         0x99, 0xB2, 0x96, 0x4F, 0xA0, 0x90, 0xC3, 0xA2,
 432         0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED,
 433         0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF,
 434         0xB8, 0x1B, 0xDD, 0x76, 0x21, 0x70, 0x48, 0x1C,
 435         0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9,
 436         0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1,
 437         0x86, 0xFF, 0xB7, 0xDC, 0x90, 0xA6, 0xC0, 0x8F,
 438         0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x02, 0x84, 0x92,
 439         0x36, 0xC3, 0xFA, 0xB4, 0xD2, 0x7C, 0x70, 0x26,
 440         0xC1, 0xD4, 0xDC, 0xB2, 0x60, 0x26, 0x46, 0xDE,
 441         0xC9, 0x75, 0x1E, 0x76, 0x3D, 0xBA, 0x37, 0xBD,
 442         0xF8, 0xFF, 0x94, 0x06, 0xAD, 0x9E, 0x53, 0x0E,
 443         0xE5, 0xDB, 0x38, 0x2F, 0x41, 0x30, 0x01, 0xAE,
 444         0xB0, 0x6A, 0x53, 0xED, 0x90, 0x27, 0xD8, 0x31,
 445         0x17, 0x97, 0x27, 0xB0, 0x86, 0x5A, 0x89, 0x18,
 446         0xDA, 0x3E, 0xDB, 0xEB, 0xCF, 0x9B, 0x14, 0xED,
 447         0x44, 0xCE, 0x6C, 0xBA, 0xCE, 0xD4, 0xBB, 0x1B,
 448         0xDB, 0x7F, 0x14, 0x47, 0xE6, 0xCC, 0x25, 0x4B,
 449         0x33, 0x20, 0x51, 0x51, 0x2B, 0xD7, 0xAF, 0x42,
 450         0x6F, 0xB8, 0xF4, 0x01, 0x37, 0x8C, 0xD2, 0xBF,
 451         0x59, 0x83, 0xCA, 0x01, 0xC6, 0x4B, 0x92, 0xEC,
 452         0xF0, 0x32, 0xEA, 0x15, 0xD1, 0x72, 0x1D, 0x03,
 453         0xF4, 0x82, 0xD7, 0xCE, 0x6E, 0x74, 0xFE, 0xF6,
 454         0xD5, 0x5E, 0x70, 0x2F, 0x46, 0x98, 0x0C, 0x82,
 455         0xB5, 0xA8, 0x40, 0x31, 0x90, 0x0B, 0x1C, 0x9E,
 456         0x59, 0xE7, 0xC9, 0x7F, 0xBE, 0xC7, 0xE8, 0xF3,
 457         0x23, 0xA9, 0x7A, 0x7E, 0x36, 0xCC, 0x88, 0xBE,
 458         0x0F, 0x1D, 0x45, 0xB7, 0xFF, 0x58, 0x5A, 0xC5,
 459         0x4B, 0xD4, 0x07, 0xB2, 0x2B, 0x41, 0x54, 0xAA,
 460         0xCC, 0x8F, 0x6D, 0x7E, 0xBF, 0x48, 0xE1, 0xD8,
 461         0x14, 0xCC, 0x5E, 0xD2, 0x0F, 0x80, 0x37, 0xE0,
 462         0xA7, 0x97, 0x15, 0xEE, 0xF2, 0x9B, 0xE3, 0x28,
 463         0x06, 0xA1, 0xD5, 0x8B, 0xB7, 0xC5, 0xDA, 0x76,
 464         0xF5, 0x50, 0xAA, 0x3D, 0x8A, 0x1F, 0xBF, 0xF0,
 465         0xEB, 0x19, 0xCC, 0xB1, 0xA3, 0x13, 0xD5, 0x5C,
 466         0xDA, 0x56, 0xC9, 0xEC, 0x2E, 0xF2, 0x96, 0x32,
 467         0x38, 0x7F, 0xE8, 0xD7, 0x6E, 0x3C, 0x04, 0x68,
 468         0x04, 0x3E, 0x8F, 0x66, 0x3F, 0x48, 0x60, 0xEE,
 469         0x12, 0xBF, 0x2D, 0x5B, 0x0B, 0x74, 0x74, 0xD6,
 470         0xE6, 0x94, 0xF9, 0x1E, 0x6D, 0xBE, 0x11, 0x59,
 471         0x74, 0xA3, 0x92, 0x6F, 0x12, 0xFE, 0xE5, 0xE4,
 472         0x38, 0x77, 0x7C, 0xB6, 0xA9, 0x32, 0xDF, 0x8C,
 473         0xD8, 0xBE, 0xC4, 0xD0, 0x73, 0xB9, 0x31, 0xBA,
 474         0x3B, 0xC8, 0x32, 0xB6, 0x8D, 0x9D, 0xD3, 0x00,
 475         0x74, 0x1F, 0xA7, 0xBF, 0x8A, 0xFC, 0x47, 0xED,
 476         0x25, 0x76, 0xF6, 0x93, 0x6B, 0xA4, 0x24, 0x66,
 477         0x3A, 0xAB, 0x63, 0x9C, 0x5A, 0xE4, 0xF5, 0x68,
 478         0x34, 0x23, 0xB4, 0x74, 0x2B, 0xF1, 0xC9, 0x78,
 479         0x23, 0x8F, 0x16, 0xCB, 0xE3, 0x9D, 0x65, 0x2D,
 480         0xE3, 0xFD, 0xB8, 0xBE, 0xFC, 0x84, 0x8A, 0xD9,
 481         0x22, 0x22, 0x2E, 0x04, 0xA4, 0x03, 0x7C, 0x07,
 482         0x13, 0xEB, 0x57, 0xA8, 0x1A, 0x23, 0xF0, 0xC7,
 483         0x34, 0x73, 0xFC, 0x64, 0x6C, 0xEA, 0x30, 0x6B,
 484         0x4B, 0xCB, 0xC8, 0x86, 0x2F, 0x83, 0x85, 0xDD,
 485         0xFA, 0x9D, 0x4B, 0x7F, 0xA2, 0xC0, 0x87, 0xE8,
 486         0x79, 0x68, 0x33, 0x03, 0xED, 0x5B, 0xDD, 0x3A,
 487         0x06, 0x2B, 0x3C, 0xF5, 0xB3, 0xA2, 0x78, 0xA6,
 488         0x6D, 0x2A, 0x13, 0xF8, 0x3F, 0x44, 0xF8, 0x2D,
 489         0xDF, 0x31, 0x0E, 0xE0, 0x74, 0xAB, 0x6A, 0x36,
 490         0x45, 0x97, 0xE8, 0x99, 0xA0, 0x25, 0x5D, 0xC1,
 491         0x64, 0xF3, 0x1C, 0xC5, 0x08, 0x46, 0x85, 0x1D,
 492         0xF9, 0xAB, 0x48, 0x19, 0x5D, 0xED, 0x7E, 0xA1,
 493         0xB1, 0xD5, 0x10, 0xBD, 0x7E, 0xE7, 0x4D, 0x73,
 494         0xFA, 0xF3, 0x6B, 0xC3, 0x1E, 0xCF, 0xA2, 0x68,
 495         0x35, 0x90, 0x46, 0xF4, 0xEB, 0x87, 0x9F, 0x92,
 496         0x40, 0x09, 0x43, 0x8B, 0x48, 0x1C, 0x6C, 0xD7,
 497         0x88, 0x9A, 0x00, 0x2E, 0xD5, 0xEE, 0x38, 0x2B,
 498         0xC9, 0x19, 0x0D, 0xA6, 0xFC, 0x02, 0x6E, 0x47,
 499         0x95, 0x58, 0xE4, 0x47, 0x56, 0x77, 0xE9, 0xAA,
 500         0x9E, 0x30, 0x50, 0xE2, 0x76, 0x56, 0x94, 0xDF,
 501         0xC8, 0x1F, 0x56, 0xE8, 0x80, 0xB9, 0x6E, 0x71,
 502         0x60, 0xC9, 0x80, 0xDD, 0x98, 0xED, 0xD3, 0xDF,
 503         0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF
 504 };
 505
 506
 507 #define DH_GROUP(id) \
 508 { id, dh_group ## id ## _generator, sizeof(dh_group ## id ## _generator), \
 509 dh_group ## id ## _prime, sizeof(dh_group ## id ## _prime) }
 510
 511
 512 static struct dh_group dh_groups[] = {
 513         DH_GROUP(1),
 514         DH_GROUP(2),
 515         DH_GROUP(5),
 516         DH_GROUP(14),
 517         DH_GROUP(15),
 518         DH_GROUP(16),
 519         DH_GROUP(17),
 520         DH_GROUP(18)
 521 };
 522
 523 #define NUM_DH_GROUPS (sizeof(dh_groups) / sizeof(dh_groups[0]))
 524
 525
 526 const struct dh_group * dh_groups_get(int id)
 527 {
 528         size_t i;
 529
 530         for (i = 0; i < NUM_DH_GROUPS; i++) {
 531                 if (dh_groups[i].id == id)
 532                         return &dh_groups[i];
 533         }
 534         return NULL;
 535 }
 536
 537
 538 /**
 539  * dh_init - Initialize Diffie-Hellman handshake
 540  * @dh: Selected Diffie-Hellman group
 541  * @priv: Pointer for returning Diffie-Hellman private key
 542  * Returns: Diffie-Hellman public value
 543  */
 544 struct wpabuf * dh_init(const struct dh_group *dh, struct wpabuf **priv)
 545 {
 546         struct wpabuf *pv;
 547         size_t pv_len;
 548
 549         if (dh == NULL)
 550                 return NULL;
 551
 552         wpabuf_free(*priv);
 553         *priv = wpabuf_alloc(dh->prime_len);
 554         if (*priv == NULL)
 555                 return NULL;
 556
 557         if (os_get_random(wpabuf_put(*priv, dh->prime_len), dh->prime_len)) {
 558                 wpabuf_free(*priv);
 559                 *priv = NULL;
 560                 return NULL;
 561         }
 562
 563         if (os_memcmp(wpabuf_head(*priv), dh->prime, dh->prime_len) > 0) {
 564                 /* Make sure private value is smaller than prime */
 565                 *(wpabuf_mhead_u8(*priv)) = 0;
 566         }
 567         wpa_hexdump_buf_key(MSG_DEBUG, "DH: private value", *priv);
 568
 569         pv_len = dh->prime_len;
 570         pv = wpabuf_alloc(pv_len);
 571         if (pv == NULL)
 572                 return NULL;
 573         if (crypto_mod_exp(dh->generator, dh->generator_len,
 574                            wpabuf_head(*priv), wpabuf_len(*priv),
 575                            dh->prime, dh->prime_len, wpabuf_mhead(pv),
 576                            &pv_len) < 0) {
 577                 wpabuf_free(pv);
 578                 wpa_printf(MSG_INFO, "DH: crypto_mod_exp failed");
 579                 return NULL;
 580         }
 581         wpabuf_put(pv, pv_len);
 582         wpa_hexdump_buf(MSG_DEBUG, "DH: public value", pv);
 583
 584         return pv;
 585 }
 586
 587
 588 /**
 589  * dh_derive_shared - Derive shared Diffie-Hellman key
 590  * @peer_public: Diffie-Hellman public value from peer
 591  * @own_private: Diffie-Hellman private key from dh_init()
 592  * @dh: Selected Diffie-Hellman group
 593  * Returns: Diffie-Hellman shared key
 594  */
 595 struct wpabuf * dh_derive_shared(const struct wpabuf *peer_public,
 596                                  const struct wpabuf *own_private,
 597                                  const struct dh_group *dh)
 598 {
 599         struct wpabuf *shared;
 600         size_t shared_len;
 601
 602         if (dh == NULL || peer_public == NULL || own_private == NULL)
 603                 return NULL;
 604
 605         shared_len = dh->prime_len;
 606         shared = wpabuf_alloc(shared_len);
 607         if (shared == NULL)
 608                 return NULL;
 609         if (crypto_mod_exp(wpabuf_head(peer_public), wpabuf_len(peer_public),
 610                            wpabuf_head(own_private), wpabuf_len(own_private),
 611                            dh->prime, dh->prime_len,
 612                            wpabuf_put(shared, shared_len), &shared_len) < 0) {
 613                 wpabuf_free(shared);
 614                 wpa_printf(MSG_INFO, "DH: crypto_mod_exp failed");
 615                 return NULL;
 616         }
 617         wpa_hexdump_buf_key(MSG_DEBUG, "DH: shared key", shared);
 618
 619         return shared;
 620 }