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bn_const.c 26 KB

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  1. /*
  2. * Copyright 2005-2016 The OpenSSL Project Authors. All Rights Reserved.
  3. *
  4. * Licensed under the OpenSSL license (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. #include <openssl/bn.h>
  10. /*-
  11. * "First Oakley Default Group" from RFC2409, section 6.1.
  12. *
  13. * The prime is: 2^768 - 2 ^704 - 1 + 2^64 * { [2^638 pi] + 149686 }
  14. *
  15. * RFC2409 specifies a generator of 2.
  16. * RFC2412 specifies a generator of of 22.
  17. */
  18. BIGNUM *BN_get_rfc2409_prime_768(BIGNUM *bn)
  19. {
  20. static const unsigned char RFC2409_PRIME_768[] = {
  21. 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
  22. 0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
  23. 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
  24. 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
  25. 0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
  26. 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
  27. 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
  28. 0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
  29. 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
  30. 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
  31. 0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x3A, 0x36, 0x20,
  32. 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
  33. };
  34. return BN_bin2bn(RFC2409_PRIME_768, sizeof(RFC2409_PRIME_768), bn);
  35. }
  36. /*-
  37. * "Second Oakley Default Group" from RFC2409, section 6.2.
  38. *
  39. * The prime is: 2^1024 - 2^960 - 1 + 2^64 * { [2^894 pi] + 129093 }.
  40. *
  41. * RFC2409 specifies a generator of 2.
  42. * RFC2412 specifies a generator of 22.
  43. */
  44. BIGNUM *BN_get_rfc2409_prime_1024(BIGNUM *bn)
  45. {
  46. static const unsigned char RFC2409_PRIME_1024[] = {
  47. 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
  48. 0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
  49. 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
  50. 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
  51. 0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
  52. 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
  53. 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
  54. 0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
  55. 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
  56. 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
  57. 0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
  58. 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
  59. 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
  60. 0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
  61. 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE6, 0x53, 0x81,
  62. 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
  63. };
  64. return BN_bin2bn(RFC2409_PRIME_1024, sizeof(RFC2409_PRIME_1024), bn);
  65. }
  66. /*-
  67. * "1536-bit MODP Group" from RFC3526, Section 2.
  68. *
  69. * The prime is: 2^1536 - 2^1472 - 1 + 2^64 * { [2^1406 pi] + 741804 }
  70. *
  71. * RFC3526 specifies a generator of 2.
  72. * RFC2312 specifies a generator of 22.
  73. */
  74. BIGNUM *BN_get_rfc3526_prime_1536(BIGNUM *bn)
  75. {
  76. static const unsigned char RFC3526_PRIME_1536[] = {
  77. 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
  78. 0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
  79. 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
  80. 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
  81. 0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
  82. 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
  83. 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
  84. 0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
  85. 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
  86. 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
  87. 0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
  88. 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
  89. 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
  90. 0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
  91. 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
  92. 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05,
  93. 0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A,
  94. 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
  95. 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96,
  96. 0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB,
  97. 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
  98. 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04,
  99. 0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x23, 0x73, 0x27,
  100. 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
  101. };
  102. return BN_bin2bn(RFC3526_PRIME_1536, sizeof(RFC3526_PRIME_1536), bn);
  103. }
  104. /*-
  105. * "2048-bit MODP Group" from RFC3526, Section 3.
  106. *
  107. * The prime is: 2^2048 - 2^1984 - 1 + 2^64 * { [2^1918 pi] + 124476 }
  108. *
  109. * RFC3526 specifies a generator of 2.
  110. */
  111. BIGNUM *BN_get_rfc3526_prime_2048(BIGNUM *bn)
  112. {
  113. static const unsigned char RFC3526_PRIME_2048[] = {
  114. 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
  115. 0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
  116. 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
  117. 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
  118. 0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
  119. 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
  120. 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
  121. 0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
  122. 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
  123. 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
  124. 0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
  125. 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
  126. 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
  127. 0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
  128. 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
  129. 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05,
  130. 0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A,
  131. 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
  132. 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96,
  133. 0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB,
  134. 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
  135. 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04,
  136. 0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C,
  137. 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
  138. 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03,
  139. 0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F,
  140. 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
  141. 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18,
  142. 0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5,
  143. 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
  144. 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAC, 0xAA, 0x68,
  145. 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
  146. };
  147. return BN_bin2bn(RFC3526_PRIME_2048, sizeof(RFC3526_PRIME_2048), bn);
  148. }
  149. /*-
  150. * "3072-bit MODP Group" from RFC3526, Section 4.
  151. *
  152. * The prime is: 2^3072 - 2^3008 - 1 + 2^64 * { [2^2942 pi] + 1690314 }
  153. *
  154. * RFC3526 specifies a generator of 2.
  155. */
  156. BIGNUM *BN_get_rfc3526_prime_3072(BIGNUM *bn)
  157. {
  158. static const unsigned char RFC3526_PRIME_3072[] = {
  159. 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
  160. 0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
  161. 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
  162. 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
  163. 0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
  164. 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
  165. 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
  166. 0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
  167. 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
  168. 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
  169. 0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
  170. 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
  171. 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
  172. 0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
  173. 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
  174. 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05,
  175. 0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A,
  176. 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
  177. 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96,
  178. 0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB,
  179. 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
  180. 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04,
  181. 0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C,
  182. 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
  183. 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03,
  184. 0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F,
  185. 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
  186. 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18,
  187. 0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5,
  188. 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
  189. 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D,
  190. 0xAD, 0x33, 0x17, 0x0D, 0x04, 0x50, 0x7A, 0x33,
  191. 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,
  192. 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A,
  193. 0x8A, 0xEA, 0x71, 0x57, 0x5D, 0x06, 0x0C, 0x7D,
  194. 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,
  195. 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7,
  196. 0x1E, 0x8C, 0x94, 0xE0, 0x4A, 0x25, 0x61, 0x9D,
  197. 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,
  198. 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64,
  199. 0xD8, 0x76, 0x02, 0x73, 0x3E, 0xC8, 0x6A, 0x64,
  200. 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,
  201. 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C,
  202. 0x77, 0x09, 0x88, 0xC0, 0xBA, 0xD9, 0x46, 0xE2,
  203. 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,
  204. 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E,
  205. 0x4B, 0x82, 0xD1, 0x20, 0xA9, 0x3A, 0xD2, 0xCA,
  206. 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
  207. };
  208. return BN_bin2bn(RFC3526_PRIME_3072, sizeof(RFC3526_PRIME_3072), bn);
  209. }
  210. /*-
  211. * "4096-bit MODP Group" from RFC3526, Section 5.
  212. *
  213. * The prime is: 2^4096 - 2^4032 - 1 + 2^64 * { [2^3966 pi] + 240904 }
  214. *
  215. * RFC3526 specifies a generator of 2.
  216. */
  217. BIGNUM *BN_get_rfc3526_prime_4096(BIGNUM *bn)
  218. {
  219. static const unsigned char RFC3526_PRIME_4096[] = {
  220. 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
  221. 0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
  222. 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
  223. 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
  224. 0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
  225. 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
  226. 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
  227. 0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
  228. 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
  229. 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
  230. 0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
  231. 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
  232. 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
  233. 0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
  234. 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
  235. 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05,
  236. 0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A,
  237. 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
  238. 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96,
  239. 0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB,
  240. 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
  241. 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04,
  242. 0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C,
  243. 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
  244. 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03,
  245. 0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F,
  246. 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
  247. 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18,
  248. 0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5,
  249. 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
  250. 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D,
  251. 0xAD, 0x33, 0x17, 0x0D, 0x04, 0x50, 0x7A, 0x33,
  252. 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,
  253. 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A,
  254. 0x8A, 0xEA, 0x71, 0x57, 0x5D, 0x06, 0x0C, 0x7D,
  255. 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,
  256. 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7,
  257. 0x1E, 0x8C, 0x94, 0xE0, 0x4A, 0x25, 0x61, 0x9D,
  258. 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,
  259. 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64,
  260. 0xD8, 0x76, 0x02, 0x73, 0x3E, 0xC8, 0x6A, 0x64,
  261. 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,
  262. 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C,
  263. 0x77, 0x09, 0x88, 0xC0, 0xBA, 0xD9, 0x46, 0xE2,
  264. 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,
  265. 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E,
  266. 0x4B, 0x82, 0xD1, 0x20, 0xA9, 0x21, 0x08, 0x01,
  267. 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7,
  268. 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26,
  269. 0x99, 0xC3, 0x27, 0x18, 0x6A, 0xF4, 0xE2, 0x3C,
  270. 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA,
  271. 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8,
  272. 0xDB, 0xBB, 0xC2, 0xDB, 0x04, 0xDE, 0x8E, 0xF9,
  273. 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6,
  274. 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D,
  275. 0x99, 0xB2, 0x96, 0x4F, 0xA0, 0x90, 0xC3, 0xA2,
  276. 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED,
  277. 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF,
  278. 0xB8, 0x1B, 0xDD, 0x76, 0x21, 0x70, 0x48, 0x1C,
  279. 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9,
  280. 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1,
  281. 0x86, 0xFF, 0xB7, 0xDC, 0x90, 0xA6, 0xC0, 0x8F,
  282. 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x06, 0x31, 0x99,
  283. 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
  284. };
  285. return BN_bin2bn(RFC3526_PRIME_4096, sizeof(RFC3526_PRIME_4096), bn);
  286. }
  287. /*-
  288. * "6144-bit MODP Group" from RFC3526, Section 6.
  289. *
  290. * The prime is: 2^6144 - 2^6080 - 1 + 2^64 * { [2^6014 pi] + 929484 }
  291. *
  292. * RFC3526 specifies a generator of 2.
  293. */
  294. BIGNUM *BN_get_rfc3526_prime_6144(BIGNUM *bn)
  295. {
  296. static const unsigned char RFC3526_PRIME_6144[] = {
  297. 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
  298. 0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
  299. 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
  300. 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
  301. 0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
  302. 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
  303. 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
  304. 0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
  305. 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
  306. 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
  307. 0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
  308. 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
  309. 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
  310. 0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
  311. 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
  312. 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05,
  313. 0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A,
  314. 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
  315. 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96,
  316. 0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB,
  317. 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
  318. 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04,
  319. 0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C,
  320. 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
  321. 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03,
  322. 0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F,
  323. 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
  324. 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18,
  325. 0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5,
  326. 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
  327. 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D,
  328. 0xAD, 0x33, 0x17, 0x0D, 0x04, 0x50, 0x7A, 0x33,
  329. 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,
  330. 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A,
  331. 0x8A, 0xEA, 0x71, 0x57, 0x5D, 0x06, 0x0C, 0x7D,
  332. 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,
  333. 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7,
  334. 0x1E, 0x8C, 0x94, 0xE0, 0x4A, 0x25, 0x61, 0x9D,
  335. 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,
  336. 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64,
  337. 0xD8, 0x76, 0x02, 0x73, 0x3E, 0xC8, 0x6A, 0x64,
  338. 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,
  339. 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C,
  340. 0x77, 0x09, 0x88, 0xC0, 0xBA, 0xD9, 0x46, 0xE2,
  341. 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,
  342. 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E,
  343. 0x4B, 0x82, 0xD1, 0x20, 0xA9, 0x21, 0x08, 0x01,
  344. 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7,
  345. 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26,
  346. 0x99, 0xC3, 0x27, 0x18, 0x6A, 0xF4, 0xE2, 0x3C,
  347. 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA,
  348. 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8,
  349. 0xDB, 0xBB, 0xC2, 0xDB, 0x04, 0xDE, 0x8E, 0xF9,
  350. 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6,
  351. 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D,
  352. 0x99, 0xB2, 0x96, 0x4F, 0xA0, 0x90, 0xC3, 0xA2,
  353. 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED,
  354. 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF,
  355. 0xB8, 0x1B, 0xDD, 0x76, 0x21, 0x70, 0x48, 0x1C,
  356. 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9,
  357. 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1,
  358. 0x86, 0xFF, 0xB7, 0xDC, 0x90, 0xA6, 0xC0, 0x8F,
  359. 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x02, 0x84, 0x92,
  360. 0x36, 0xC3, 0xFA, 0xB4, 0xD2, 0x7C, 0x70, 0x26,
  361. 0xC1, 0xD4, 0xDC, 0xB2, 0x60, 0x26, 0x46, 0xDE,
  362. 0xC9, 0x75, 0x1E, 0x76, 0x3D, 0xBA, 0x37, 0xBD,
  363. 0xF8, 0xFF, 0x94, 0x06, 0xAD, 0x9E, 0x53, 0x0E,
  364. 0xE5, 0xDB, 0x38, 0x2F, 0x41, 0x30, 0x01, 0xAE,
  365. 0xB0, 0x6A, 0x53, 0xED, 0x90, 0x27, 0xD8, 0x31,
  366. 0x17, 0x97, 0x27, 0xB0, 0x86, 0x5A, 0x89, 0x18,
  367. 0xDA, 0x3E, 0xDB, 0xEB, 0xCF, 0x9B, 0x14, 0xED,
  368. 0x44, 0xCE, 0x6C, 0xBA, 0xCE, 0xD4, 0xBB, 0x1B,
  369. 0xDB, 0x7F, 0x14, 0x47, 0xE6, 0xCC, 0x25, 0x4B,
  370. 0x33, 0x20, 0x51, 0x51, 0x2B, 0xD7, 0xAF, 0x42,
  371. 0x6F, 0xB8, 0xF4, 0x01, 0x37, 0x8C, 0xD2, 0xBF,
  372. 0x59, 0x83, 0xCA, 0x01, 0xC6, 0x4B, 0x92, 0xEC,
  373. 0xF0, 0x32, 0xEA, 0x15, 0xD1, 0x72, 0x1D, 0x03,
  374. 0xF4, 0x82, 0xD7, 0xCE, 0x6E, 0x74, 0xFE, 0xF6,
  375. 0xD5, 0x5E, 0x70, 0x2F, 0x46, 0x98, 0x0C, 0x82,
  376. 0xB5, 0xA8, 0x40, 0x31, 0x90, 0x0B, 0x1C, 0x9E,
  377. 0x59, 0xE7, 0xC9, 0x7F, 0xBE, 0xC7, 0xE8, 0xF3,
  378. 0x23, 0xA9, 0x7A, 0x7E, 0x36, 0xCC, 0x88, 0xBE,
  379. 0x0F, 0x1D, 0x45, 0xB7, 0xFF, 0x58, 0x5A, 0xC5,
  380. 0x4B, 0xD4, 0x07, 0xB2, 0x2B, 0x41, 0x54, 0xAA,
  381. 0xCC, 0x8F, 0x6D, 0x7E, 0xBF, 0x48, 0xE1, 0xD8,
  382. 0x14, 0xCC, 0x5E, 0xD2, 0x0F, 0x80, 0x37, 0xE0,
  383. 0xA7, 0x97, 0x15, 0xEE, 0xF2, 0x9B, 0xE3, 0x28,
  384. 0x06, 0xA1, 0xD5, 0x8B, 0xB7, 0xC5, 0xDA, 0x76,
  385. 0xF5, 0x50, 0xAA, 0x3D, 0x8A, 0x1F, 0xBF, 0xF0,
  386. 0xEB, 0x19, 0xCC, 0xB1, 0xA3, 0x13, 0xD5, 0x5C,
  387. 0xDA, 0x56, 0xC9, 0xEC, 0x2E, 0xF2, 0x96, 0x32,
  388. 0x38, 0x7F, 0xE8, 0xD7, 0x6E, 0x3C, 0x04, 0x68,
  389. 0x04, 0x3E, 0x8F, 0x66, 0x3F, 0x48, 0x60, 0xEE,
  390. 0x12, 0xBF, 0x2D, 0x5B, 0x0B, 0x74, 0x74, 0xD6,
  391. 0xE6, 0x94, 0xF9, 0x1E, 0x6D, 0xCC, 0x40, 0x24,
  392. 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
  393. };
  394. return BN_bin2bn(RFC3526_PRIME_6144, sizeof(RFC3526_PRIME_6144), bn);
  395. }
  396. /*-
  397. * "8192-bit MODP Group" from RFC3526, Section 7.
  398. *
  399. * The prime is: 2^8192 - 2^8128 - 1 + 2^64 * { [2^8062 pi] + 4743158 }
  400. *
  401. * RFC3526 specifies a generator of 2.
  402. */
  403. BIGNUM *BN_get_rfc3526_prime_8192(BIGNUM *bn)
  404. {
  405. static const unsigned char RFC3526_PRIME_8192[] = {
  406. 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
  407. 0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
  408. 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
  409. 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
  410. 0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
  411. 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
  412. 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
  413. 0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
  414. 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
  415. 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
  416. 0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
  417. 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
  418. 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
  419. 0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
  420. 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
  421. 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05,
  422. 0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A,
  423. 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
  424. 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96,
  425. 0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB,
  426. 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
  427. 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04,
  428. 0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C,
  429. 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
  430. 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03,
  431. 0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F,
  432. 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
  433. 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18,
  434. 0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5,
  435. 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
  436. 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D,
  437. 0xAD, 0x33, 0x17, 0x0D, 0x04, 0x50, 0x7A, 0x33,
  438. 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,
  439. 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A,
  440. 0x8A, 0xEA, 0x71, 0x57, 0x5D, 0x06, 0x0C, 0x7D,
  441. 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,
  442. 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7,
  443. 0x1E, 0x8C, 0x94, 0xE0, 0x4A, 0x25, 0x61, 0x9D,
  444. 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,
  445. 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64,
  446. 0xD8, 0x76, 0x02, 0x73, 0x3E, 0xC8, 0x6A, 0x64,
  447. 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,
  448. 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C,
  449. 0x77, 0x09, 0x88, 0xC0, 0xBA, 0xD9, 0x46, 0xE2,
  450. 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,
  451. 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E,
  452. 0x4B, 0x82, 0xD1, 0x20, 0xA9, 0x21, 0x08, 0x01,
  453. 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7,
  454. 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26,
  455. 0x99, 0xC3, 0x27, 0x18, 0x6A, 0xF4, 0xE2, 0x3C,
  456. 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA,
  457. 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8,
  458. 0xDB, 0xBB, 0xC2, 0xDB, 0x04, 0xDE, 0x8E, 0xF9,
  459. 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6,
  460. 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D,
  461. 0x99, 0xB2, 0x96, 0x4F, 0xA0, 0x90, 0xC3, 0xA2,
  462. 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED,
  463. 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF,
  464. 0xB8, 0x1B, 0xDD, 0x76, 0x21, 0x70, 0x48, 0x1C,
  465. 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9,
  466. 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1,
  467. 0x86, 0xFF, 0xB7, 0xDC, 0x90, 0xA6, 0xC0, 0x8F,
  468. 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x02, 0x84, 0x92,
  469. 0x36, 0xC3, 0xFA, 0xB4, 0xD2, 0x7C, 0x70, 0x26,
  470. 0xC1, 0xD4, 0xDC, 0xB2, 0x60, 0x26, 0x46, 0xDE,
  471. 0xC9, 0x75, 0x1E, 0x76, 0x3D, 0xBA, 0x37, 0xBD,
  472. 0xF8, 0xFF, 0x94, 0x06, 0xAD, 0x9E, 0x53, 0x0E,
  473. 0xE5, 0xDB, 0x38, 0x2F, 0x41, 0x30, 0x01, 0xAE,
  474. 0xB0, 0x6A, 0x53, 0xED, 0x90, 0x27, 0xD8, 0x31,
  475. 0x17, 0x97, 0x27, 0xB0, 0x86, 0x5A, 0x89, 0x18,
  476. 0xDA, 0x3E, 0xDB, 0xEB, 0xCF, 0x9B, 0x14, 0xED,
  477. 0x44, 0xCE, 0x6C, 0xBA, 0xCE, 0xD4, 0xBB, 0x1B,
  478. 0xDB, 0x7F, 0x14, 0x47, 0xE6, 0xCC, 0x25, 0x4B,
  479. 0x33, 0x20, 0x51, 0x51, 0x2B, 0xD7, 0xAF, 0x42,
  480. 0x6F, 0xB8, 0xF4, 0x01, 0x37, 0x8C, 0xD2, 0xBF,
  481. 0x59, 0x83, 0xCA, 0x01, 0xC6, 0x4B, 0x92, 0xEC,
  482. 0xF0, 0x32, 0xEA, 0x15, 0xD1, 0x72, 0x1D, 0x03,
  483. 0xF4, 0x82, 0xD7, 0xCE, 0x6E, 0x74, 0xFE, 0xF6,
  484. 0xD5, 0x5E, 0x70, 0x2F, 0x46, 0x98, 0x0C, 0x82,
  485. 0xB5, 0xA8, 0x40, 0x31, 0x90, 0x0B, 0x1C, 0x9E,
  486. 0x59, 0xE7, 0xC9, 0x7F, 0xBE, 0xC7, 0xE8, 0xF3,
  487. 0x23, 0xA9, 0x7A, 0x7E, 0x36, 0xCC, 0x88, 0xBE,
  488. 0x0F, 0x1D, 0x45, 0xB7, 0xFF, 0x58, 0x5A, 0xC5,
  489. 0x4B, 0xD4, 0x07, 0xB2, 0x2B, 0x41, 0x54, 0xAA,
  490. 0xCC, 0x8F, 0x6D, 0x7E, 0xBF, 0x48, 0xE1, 0xD8,
  491. 0x14, 0xCC, 0x5E, 0xD2, 0x0F, 0x80, 0x37, 0xE0,
  492. 0xA7, 0x97, 0x15, 0xEE, 0xF2, 0x9B, 0xE3, 0x28,
  493. 0x06, 0xA1, 0xD5, 0x8B, 0xB7, 0xC5, 0xDA, 0x76,
  494. 0xF5, 0x50, 0xAA, 0x3D, 0x8A, 0x1F, 0xBF, 0xF0,
  495. 0xEB, 0x19, 0xCC, 0xB1, 0xA3, 0x13, 0xD5, 0x5C,
  496. 0xDA, 0x56, 0xC9, 0xEC, 0x2E, 0xF2, 0x96, 0x32,
  497. 0x38, 0x7F, 0xE8, 0xD7, 0x6E, 0x3C, 0x04, 0x68,
  498. 0x04, 0x3E, 0x8F, 0x66, 0x3F, 0x48, 0x60, 0xEE,
  499. 0x12, 0xBF, 0x2D, 0x5B, 0x0B, 0x74, 0x74, 0xD6,
  500. 0xE6, 0x94, 0xF9, 0x1E, 0x6D, 0xBE, 0x11, 0x59,
  501. 0x74, 0xA3, 0x92, 0x6F, 0x12, 0xFE, 0xE5, 0xE4,
  502. 0x38, 0x77, 0x7C, 0xB6, 0xA9, 0x32, 0xDF, 0x8C,
  503. 0xD8, 0xBE, 0xC4, 0xD0, 0x73, 0xB9, 0x31, 0xBA,
  504. 0x3B, 0xC8, 0x32, 0xB6, 0x8D, 0x9D, 0xD3, 0x00,
  505. 0x74, 0x1F, 0xA7, 0xBF, 0x8A, 0xFC, 0x47, 0xED,
  506. 0x25, 0x76, 0xF6, 0x93, 0x6B, 0xA4, 0x24, 0x66,
  507. 0x3A, 0xAB, 0x63, 0x9C, 0x5A, 0xE4, 0xF5, 0x68,
  508. 0x34, 0x23, 0xB4, 0x74, 0x2B, 0xF1, 0xC9, 0x78,
  509. 0x23, 0x8F, 0x16, 0xCB, 0xE3, 0x9D, 0x65, 0x2D,
  510. 0xE3, 0xFD, 0xB8, 0xBE, 0xFC, 0x84, 0x8A, 0xD9,
  511. 0x22, 0x22, 0x2E, 0x04, 0xA4, 0x03, 0x7C, 0x07,
  512. 0x13, 0xEB, 0x57, 0xA8, 0x1A, 0x23, 0xF0, 0xC7,
  513. 0x34, 0x73, 0xFC, 0x64, 0x6C, 0xEA, 0x30, 0x6B,
  514. 0x4B, 0xCB, 0xC8, 0x86, 0x2F, 0x83, 0x85, 0xDD,
  515. 0xFA, 0x9D, 0x4B, 0x7F, 0xA2, 0xC0, 0x87, 0xE8,
  516. 0x79, 0x68, 0x33, 0x03, 0xED, 0x5B, 0xDD, 0x3A,
  517. 0x06, 0x2B, 0x3C, 0xF5, 0xB3, 0xA2, 0x78, 0xA6,
  518. 0x6D, 0x2A, 0x13, 0xF8, 0x3F, 0x44, 0xF8, 0x2D,
  519. 0xDF, 0x31, 0x0E, 0xE0, 0x74, 0xAB, 0x6A, 0x36,
  520. 0x45, 0x97, 0xE8, 0x99, 0xA0, 0x25, 0x5D, 0xC1,
  521. 0x64, 0xF3, 0x1C, 0xC5, 0x08, 0x46, 0x85, 0x1D,
  522. 0xF9, 0xAB, 0x48, 0x19, 0x5D, 0xED, 0x7E, 0xA1,
  523. 0xB1, 0xD5, 0x10, 0xBD, 0x7E, 0xE7, 0x4D, 0x73,
  524. 0xFA, 0xF3, 0x6B, 0xC3, 0x1E, 0xCF, 0xA2, 0x68,
  525. 0x35, 0x90, 0x46, 0xF4, 0xEB, 0x87, 0x9F, 0x92,
  526. 0x40, 0x09, 0x43, 0x8B, 0x48, 0x1C, 0x6C, 0xD7,
  527. 0x88, 0x9A, 0x00, 0x2E, 0xD5, 0xEE, 0x38, 0x2B,
  528. 0xC9, 0x19, 0x0D, 0xA6, 0xFC, 0x02, 0x6E, 0x47,
  529. 0x95, 0x58, 0xE4, 0x47, 0x56, 0x77, 0xE9, 0xAA,
  530. 0x9E, 0x30, 0x50, 0xE2, 0x76, 0x56, 0x94, 0xDF,
  531. 0xC8, 0x1F, 0x56, 0xE8, 0x80, 0xB9, 0x6E, 0x71,
  532. 0x60, 0xC9, 0x80, 0xDD, 0x98, 0xED, 0xD3, 0xDF,
  533. 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
  534. };
  535. return BN_bin2bn(RFC3526_PRIME_8192, sizeof(RFC3526_PRIME_8192), bn);
  536. }