dh_groups.c 25 KB

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