crypto/ec/ec_curve.c

   1 /* crypto/ec/ec_curve.c */
   2 /* ====================================================================
   3  * Copyright (c) 1998-2002 The OpenSSL Project.  All rights reserved.
   4  *
   5  * Redistribution and use in source and binary forms, with or without
   6  * modification, are permitted provided that the following conditions
   7  * are met:
   8  *
   9  * 1. Redistributions of source code must retain the above copyright
  10  *    notice, this list of conditions and the following disclaimer.
  11  *
  12  * 2. Redistributions in binary form must reproduce the above copyright
  13  *    notice, this list of conditions and the following disclaimer in
  14  *    the documentation and/or other materials provided with the
  15  *    distribution.
  16  *
  17  * 3. All advertising materials mentioning features or use of this
  18  *    software must display the following acknowledgment:
  19  *    "This product includes software developed by the OpenSSL Project
  20  *    for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
  21  *
  22  * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
  23  *    endorse or promote products derived from this software without
  24  *    prior written permission. For written permission, please contact
  25  *    openssl-core@openssl.org.
  26  *
  27  * 5. Products derived from this software may not be called "OpenSSL"
  28  *    nor may "OpenSSL" appear in their names without prior written
  29  *    permission of the OpenSSL Project.
  30  *
  31  * 6. Redistributions of any form whatsoever must retain the following
  32  *    acknowledgment:
  33  *    "This product includes software developed by the OpenSSL Project
  34  *    for use in the OpenSSL Toolkit (http://www.openssl.org/)"
  35  *
  36  * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
  37  * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
  38  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
  39  * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE OpenSSL PROJECT OR
  40  * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
  41  * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
  42  * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
  43  * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
  44  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
  45  * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
  46  * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
  47  * OF THE POSSIBILITY OF SUCH DAMAGE.
  48  * ====================================================================
  49  *
  50  * This product includes cryptographic software written by Eric Young
  51  * (eay@cryptsoft.com).  This product includes software written by Tim
  52  * Hudson (tjh@cryptsoft.com).
  53  *
  54  */
  55 /* ====================================================================
  56  * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
  57  *
  58  * Portions of the attached software ("Contribution") are developed by
  59  * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
  60  *
  61  * The Contribution is licensed pursuant to the OpenSSL open source
  62  * license provided above.
  63  *
  64  * In addition, Sun covenants to all licensees who provide a reciprocal
  65  * covenant with respect to their own patents if any, not to sue under
  66  * current and future patent claims necessarily infringed by the making,
  67  * using, practicing, selling, offering for sale and/or otherwise
  68  * disposing of the Contribution as delivered hereunder
  69  * (or portions thereof), provided that such covenant shall not apply:
  70  *  1) for code that a licensee deletes from the Contribution;
  71  *  2) separates from the Contribution; or
  72  *  3) for infringements caused by:
  73  *       i) the modification of the Contribution or
  74  *      ii) the combination of the Contribution with other software or
  75  *          devices where such combination causes the infringement.
  76  *
  77  * The elliptic curve binary polynomial software is originally written by
  78  * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
  79  *
  80  */
  81
  82 #include "ec_lcl.h"
  83 #include <openssl/err.h>
  84 #include <openssl/obj_mac.h>
  85 #include <openssl/asn1.h>
  86 #include <openssl/asn1t.h>
  87
  88 /* #define _EC_GROUP_EXAMPLE_PRIME_CURVE        \
  89  *              "the prime number p", "a", "b", "the compressed base point", "y-bit", "order", "cofactor"
  90  */
  91 /* the nist prime curves */
  92 #define _EC_GROUP_NIST_PRIME_192        \
  93                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",\
  94                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",\
  95                 "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1",\
  96                 "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012",1,\
  97                 "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831",1
  98 #define _EC_GROUP_NIST_PRIME_224        \
  99                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",\
 100                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",\
 101                 "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",\
 102                 "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",0,\
 103                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",1
 104 #define _EC_GROUP_NIST_PRIME_384        \
 105                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF",\
 106                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC",\
 107                 "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF",\
 108                 "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB7",1,\
 109                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973",1
 110 #define _EC_GROUP_NIST_PRIME_521        \
 111                 "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"\
 112                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",\
 113                 "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"\
 114                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC",\
 115                 "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"\
 116                 "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00",\
 117                 "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"\
 118                 "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66",0,\
 119                 "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"\
 120                 "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409",1
 121 /* the x9.62 prime curves (minus the nist prime curves) */
 122 #define _EC_GROUP_X9_62_PRIME_192V2     \
 123                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",\
 124                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",\
 125                 "CC22D6DFB95C6B25E49C0D6364A4E5980C393AA21668D953",\
 126                 "EEA2BAE7E1497842F2DE7769CFE9C989C072AD696F48034A",1,\
 127                 "FFFFFFFFFFFFFFFFFFFFFFFE5FB1A724DC80418648D8DD31",1
 128 #define _EC_GROUP_X9_62_PRIME_192V3     \
 129                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",\
 130                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",\
 131                 "22123DC2395A05CAA7423DAECCC94760A7D462256BD56916",\
 132                 "7D29778100C65A1DA1783716588DCE2B8B4AEE8E228F1896",0,\
 133                 "FFFFFFFFFFFFFFFFFFFFFFFF7A62D031C83F4294F640EC13",1
 134 #define _EC_GROUP_X9_62_PRIME_239V1     \
 135                 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",\
 136                 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",\
 137                 "6B016C3BDCF18941D0D654921475CA71A9DB2FB27D1D37796185C2942C0A",\
 138                 "0FFA963CDCA8816CCC33B8642BEDF905C3D358573D3F27FBBD3B3CB9AAAF",0,\
 139                 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF9E5E9A9F5D9071FBD1522688909D0B",1
 140 #define _EC_GROUP_X9_62_PRIME_239V2     \
 141                 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",\
 142                 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",\
 143                 "617FAB6832576CBBFED50D99F0249C3FEE58B94BA0038C7AE84C8C832F2C",\
 144                 "38AF09D98727705120C921BB5E9E26296A3CDCF2F35757A0EAFD87B830E7",0,\
 145                 "7FFFFFFFFFFFFFFFFFFFFFFF800000CFA7E8594377D414C03821BC582063",1
 146 #define _EC_GROUP_X9_62_PRIME_239V3     \
 147                 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",\
 148                 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",\
 149                 "255705FA2A306654B1F4CB03D6A750A30C250102D4988717D9BA15AB6D3E",\
 150                 "6768AE8E18BB92CFCF005C949AA2C6D94853D0E660BBF854B1C9505FE95A",1,\
 151                 "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF975DEB41B3A6057C3C432146526551",1
 152 #define _EC_GROUP_X9_62_PRIME_256V1     \
 153                 "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF",\
 154                 "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC",\
 155                 "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B",\
 156                 "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296",1,\
 157                 "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551",1
 158 /* the secg prime curves (minus the nist and x9.62 prime curves) */
 159 #define _EC_GROUP_SECG_PRIME_112R1      \
 160                 "DB7C2ABF62E35E668076BEAD208B",\
 161                 "DB7C2ABF62E35E668076BEAD2088",\
 162                 "659EF8BA043916EEDE8911702B22",\
 163                 "09487239995A5EE76B55F9C2F098",0,\
 164                 "DB7C2ABF62E35E7628DFAC6561C5",1
 165 #define _EC_GROUP_SECG_PRIME_112R2      \
 166                 "DB7C2ABF62E35E668076BEAD208B",\
 167                 "6127C24C05F38A0AAAF65C0EF02C",\
 168                 "51DEF1815DB5ED74FCC34C85D709",\
 169                 "4BA30AB5E892B4E1649DD0928643",1,\
 170                 "36DF0AAFD8B8D7597CA10520D04B",4
 171 #define _EC_GROUP_SECG_PRIME_128R1      \
 172                 "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",\
 173                 "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC",\
 174                 "E87579C11079F43DD824993C2CEE5ED3",\
 175                 "161FF7528B899B2D0C28607CA52C5B86",1,\
 176                 "FFFFFFFE0000000075A30D1B9038A115",1
 177 #define _EC_GROUP_SECG_PRIME_128R2      \
 178                 "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",\
 179                 "D6031998D1B3BBFEBF59CC9BBFF9AEE1",\
 180                 "5EEEFCA380D02919DC2C6558BB6D8A5D",\
 181                 "7B6AA5D85E572983E6FB32A7CDEBC140",0,\
 182                 "3FFFFFFF7FFFFFFFBE0024720613B5A3",4
 183 #define _EC_GROUP_SECG_PRIME_160K1      \
 184                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",\
 185                 "0",\
 186                 "7",\
 187                 "3B4C382CE37AA192A4019E763036F4F5DD4D7EBB",0,\
 188                 "0100000000000000000001B8FA16DFAB9ACA16B6B3",1
 189 #define _EC_GROUP_SECG_PRIME_160R1      \
 190                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF",\
 191                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC",\
 192                 "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45",\
 193                 "4A96B5688EF573284664698968C38BB913CBFC82",0,\
 194                 "0100000000000000000001F4C8F927AED3CA752257",1
 195 #define _EC_GROUP_SECG_PRIME_160R2      \
 196                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",\
 197                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70",\
 198                 "B4E134D3FB59EB8BAB57274904664D5AF50388BA",\
 199                 "52DCB034293A117E1F4FF11B30F7199D3144CE6D",0,\
 200                 "0100000000000000000000351EE786A818F3A1A16B",1
 201 #define _EC_GROUP_SECG_PRIME_192K1      \
 202                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37",\
 203                 "0",\
 204                 "3",\
 205                 "DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D",1,\
 206                 "FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D",1
 207 #define _EC_GROUP_SECG_PRIME_224K1      \
 208                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D",\
 209                 "0",\
 210                 "5",\
 211                 "A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C",1,\
 212                 "010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7",1
 213 #define _EC_GROUP_SECG_PRIME_256K1      \
 214                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F",\
 215                 "0",\
 216                 "7",\
 217                 "79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798",0,\
 218                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141",1
 219 /* some wap/wtls curves */
 220 #define _EC_GROUP_WTLS_8        \
 221                 "FFFFFFFFFFFFFFFFFFFFFFFFFDE7",\
 222                 "0",\
 223                 "3",\
 224                 "1",0,\
 225                 "0100000000000001ECEA551AD837E9",1
 226 #define _EC_GROUP_WTLS_9        \
 227                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC808F",\
 228                 "0",\
 229                 "3",\
 230                 "1",0,\
 231                 "0100000000000000000001CDC98AE0E2DE574ABF33",1
 232 #define _EC_GROUP_WTLS_12       \
 233                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", \
 234                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", \
 235                 "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", \
 236                 "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", 0, \
 237                 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", 1
 238
 239 /* #define _EC_GROUP_EXAMPLE_CHAR2_CURVE        \
 240  *              "prime polynomial", "a", "b", "base point x-coord", "base point y-coord", "order", "cofactor"
 241  */
 242 #define _EC_GROUP_SECG_CHAR2_113R1 \
 243                 "020000000000000000000000000201", \
 244                 "003088250CA6E7C7FE649CE85820F7", \
 245                 "00E8BEE4D3E2260744188BE0E9C723", \
 246                 "009D73616F35F4AB1407D73562C10F", \
 247                 "00A52830277958EE84D1315ED31886", \
 248                 "0100000000000000D9CCEC8A39E56F", 2
 249 #define _EC_GROUP_SECG_CHAR2_113R2 \
 250                 "020000000000000000000000000201", \
 251                 "00689918DBEC7E5A0DD6DFC0AA55C7", \
 252                 "0095E9A9EC9B297BD4BF36E059184F", \
 253                 "01A57A6A7B26CA5EF52FCDB8164797", \
 254                 "00B3ADC94ED1FE674C06E695BABA1D", \
 255                 "010000000000000108789B2496AF93", 2
 256 #define _EC_GROUP_SECG_CHAR2_131R1 \
 257                 "080000000000000000000000000000010D", \
 258                 "07A11B09A76B562144418FF3FF8C2570B8", \
 259                 "0217C05610884B63B9C6C7291678F9D341", \
 260                 "0081BAF91FDF9833C40F9C181343638399", \
 261                 "078C6E7EA38C001F73C8134B1B4EF9E150", \
 262                 "0400000000000000023123953A9464B54D", 2
 263 #define _EC_GROUP_SECG_CHAR2_131R2 \
 264                 "080000000000000000000000000000010D", \
 265                 "03E5A88919D7CAFCBF415F07C2176573B2", \
 266                 "04B8266A46C55657AC734CE38F018F2192", \
 267                 "0356DCD8F2F95031AD652D23951BB366A8", \
 268                 "0648F06D867940A5366D9E265DE9EB240F", \
 269                 "0400000000000000016954A233049BA98F", 2
 270 #define _EC_GROUP_SECG_CHAR2_163K1 \
 271                 "0800000000000000000000000000000000000000C9", \
 272                 "1", \
 273                 "1", \
 274                 "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8", \
 275                 "0289070FB05D38FF58321F2E800536D538CCDAA3D9", \
 276                 "04000000000000000000020108A2E0CC0D99F8A5EF", 2
 277 #define _EC_GROUP_SECG_CHAR2_163R1 \
 278                 "0800000000000000000000000000000000000000C9", \
 279                 "07B6882CAAEFA84F9554FF8428BD88E246D2782AE2", \
 280                 "0713612DCDDCB40AAB946BDA29CA91F73AF958AFD9", \
 281                 "0369979697AB43897789566789567F787A7876A654", \
 282                 "00435EDB42EFAFB2989D51FEFCE3C80988F41FF883", \
 283                 "03FFFFFFFFFFFFFFFFFFFF48AAB689C29CA710279B", 2
 284 #define _EC_GROUP_SECG_CHAR2_163R2 \
 285                 "0800000000000000000000000000000000000000C9", \
 286                 "1", \
 287                 "020A601907B8C953CA1481EB10512F78744A3205FD", \
 288                 "03F0EBA16286A2D57EA0991168D4994637E8343E36", \
 289                 "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1", \
 290                 "040000000000000000000292FE77E70C12A4234C33", 2
 291 #define _EC_GROUP_SECG_CHAR2_193R1 \
 292                 "02000000000000000000000000000000000000000000008001", \
 293                 "0017858FEB7A98975169E171F77B4087DE098AC8A911DF7B01", \
 294                 "00FDFB49BFE6C3A89FACADAA7A1E5BBC7CC1C2E5D831478814", \
 295                 "01F481BC5F0FF84A74AD6CDF6FDEF4BF6179625372D8C0C5E1", \
 296                 "0025E399F2903712CCF3EA9E3A1AD17FB0B3201B6AF7CE1B05", \
 297                 "01000000000000000000000000C7F34A778F443ACC920EBA49", 2
 298 #define _EC_GROUP_SECG_CHAR2_193R2 \
 299                 "02000000000000000000000000000000000000000000008001", \
 300                 "0163F35A5137C2CE3EA6ED8667190B0BC43ECD69977702709B", \
 301                 "00C9BB9E8927D4D64C377E2AB2856A5B16E3EFB7F61D4316AE", \
 302                 "00D9B67D192E0367C803F39E1A7E82CA14A651350AAE617E8F", \
 303                 "01CE94335607C304AC29E7DEFBD9CA01F596F927224CDECF6C", \
 304                 "010000000000000000000000015AAB561B005413CCD4EE99D5", 2
 305 #define _EC_GROUP_SECG_CHAR2_233K1 \
 306                 "020000000000000000000000000000000000000004000000000000000001", \
 307                 "0", \
 308                 "1", \
 309                 "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126", \
 310                 "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3", \
 311                 "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF", 4
 312 #define _EC_GROUP_SECG_CHAR2_233R1 \
 313                 "020000000000000000000000000000000000000004000000000000000001", \
 314                 "000000000000000000000000000000000000000000000000000000000001", \
 315                 "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD", \
 316                 "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B", \
 317                 "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052", \
 318                 "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7", 2
 319 #define _EC_GROUP_SECG_CHAR2_239K1 \
 320                 "800000000000000000004000000000000000000000000000000000000001", \
 321                 "0", \
 322                 "1", \
 323                 "29A0B6A887A983E9730988A68727A8B2D126C44CC2CC7B2A6555193035DC", \
 324                 "76310804F12E549BDB011C103089E73510ACB275FC312A5DC6B76553F0CA", \
 325                 "2000000000000000000000000000005A79FEC67CB6E91F1C1DA800E478A5", 4
 326 #define _EC_GROUP_SECG_CHAR2_283K1 \
 327                 "0800000000000000000000000000000000000000000000000000000000000000000010A1", \
 328                 "0", \
 329                 "1", \
 330                 "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836", \
 331                 "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259", \
 332                 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61", 4
 333 #define _EC_GROUP_SECG_CHAR2_283R1 \
 334                 "0800000000000000000000000000000000000000000000000000000000000000000010A1", \
 335                 "000000000000000000000000000000000000000000000000000000000000000000000001", \
 336                 "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5", \
 337                 "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053", \
 338                 "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4", \
 339                 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307", 2
 340 #define _EC_GROUP_SECG_CHAR2_409K1 \
 341                 "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001", \
 342                 "0", \
 343                 "1", \
 344                 "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746", \
 345                 "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B", \
 346                 "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF", 4
 347
 348 #define _EC_GROUP_SECG_CHAR2_409R1 \
 349                 "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001", \
 350                 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", \
 351                 "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F", \
 352                 "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7", \
 353                 "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706", \
 354                 "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173", 2
 355 #define _EC_GROUP_SECG_CHAR2_571K1 \
 356                 "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425", \
 357                 "0", \
 358                 "1", \
 359                 "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972", \
 360                 "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3", \
 361                 "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001", 4
 362 #define _EC_GROUP_SECG_CHAR2_571R1 \
 363                 "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425", \
 364                 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", \
 365                 "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A", \
 366                 "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19", \
 367                 "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B", \
 368                 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47", 2
 369
 370 #define _EC_GROUP_X9_62_CHAR2_163V1 \
 371                 "0800000000000000000000000000000000000000C9", \
 372                 "072546B5435234A422E0789675F432C89435DE5242", \
 373                 "00C9517D06D5240D3CFF38C74B20B6CD4D6F9DD4D9", \
 374                 "07AF69989546103D79329FCC3D74880F33BBE803CB", \
 375                 "0190C402D65BCC2B845337BC52352774E879B94B0D", \
 376                 "0400000000000000000001E60FC8821CC74DAEAFC1", 2
 377 #define _EC_GROUP_X9_62_CHAR2_163V2 \
 378                 "0800000000000000000000000000000000000000C9", \
 379                 "0108B39E77C4B108BED981ED0E890E117C511CF072", \
 380                 "0667ACEB38AF4E488C407433FFAE4F1C811638DF20", \
 381                 "0024266E4EB5106D0A964D92C4860E2671DB9B6CC5", \
 382                 "01F64F1C0280E19A062003DBAECEAEDEC1CE141D41", \
 383                 "03FFFFFFFFFFFFFFFFFFFDF64DE1151ADBB78F10A7", 2
 384 #define _EC_GROUP_X9_62_CHAR2_163V3 \
 385                 "0800000000000000000000000000000000000000C9", \
 386                 "07A526C63D3E25A256A007699F5447E32AE456B50E", \
 387                 "03F7061798EB99E238FD6F1BF95B48FEEB4854252B", \
 388                 "02F9F87B7C574D0BDECF8A22E6524775F98CDEBDCB", \
 389                 "01D42417D750A363F61E455807D047059CA039ACFE", \
 390                 "03FFFFFFFFFFFFFFFFFFFE1AEE140F110AFF961309", 2
 391 #define _EC_GROUP_X9_62_CHAR2_176V1 \
 392                 "0100000000000000000000000000000000080000000007", \
 393                 "E4E6DB2995065C407D9D39B8D0967B96704BA8E9C90B", \
 394                 "5DDA470ABE6414DE8EC133AE28E9BBD7FCEC0AE0FFF2", \
 395                 "8D16C2866798B600F9F08BB4A8E860F3298CE04A5798", \
 396                 "6FA4539C2DADDDD6BAB5167D61B436E1D92BB16A562C", \
 397                 "00010092537397ECA4F6145799D62B0A19CE06FE26AD", 0xFF6E
 398 #define _EC_GROUP_X9_62_CHAR2_191V1 \
 399                 "800000000000000000000000000000000000000000000201", \
 400                 "2866537B676752636A68F56554E12640276B649EF7526267", \
 401                 "2E45EF571F00786F67B0081B9495A3D95462F5DE0AA185EC", \
 402                 "36B3DAF8A23206F9C4F299D7B21A9C369137F2C84AE1AA0D", \
 403                 "765BE73433B3F95E332932E70EA245CA2418EA0EF98018FB", \
 404                 "40000000000000000000000004A20E90C39067C893BBB9A5", 2
 405 #define _EC_GROUP_X9_62_CHAR2_191V2 \
 406                 "800000000000000000000000000000000000000000000201", \
 407                 "401028774D7777C7B7666D1366EA432071274F89FF01E718", \
 408                 "0620048D28BCBD03B6249C99182B7C8CD19700C362C46A01", \
 409                 "3809B2B7CC1B28CC5A87926AAD83FD28789E81E2C9E3BF10", \
 410                 "17434386626D14F3DBF01760D9213A3E1CF37AEC437D668A", \
 411                 "20000000000000000000000050508CB89F652824E06B8173", 4
 412 #define _EC_GROUP_X9_62_CHAR2_191V3 \
 413                 "800000000000000000000000000000000000000000000201", \
 414                 "6C01074756099122221056911C77D77E77A777E7E7E77FCB", \
 415                 "71FE1AF926CF847989EFEF8DB459F66394D90F32AD3F15E8", \
 416                 "375D4CE24FDE434489DE8746E71786015009E66E38A926DD", \
 417                 "545A39176196575D985999366E6AD34CE0A77CD7127B06BE", \
 418                 "155555555555555555555555610C0B196812BFB6288A3EA3", 6
 419 #define _EC_GROUP_X9_62_CHAR2_208W1 \
 420                 "010000000000000000000000000000000800000000000000000007", \
 421                 "0000000000000000000000000000000000000000000000000000", \
 422                 "C8619ED45A62E6212E1160349E2BFA844439FAFC2A3FD1638F9E", \
 423                 "89FDFBE4ABE193DF9559ECF07AC0CE78554E2784EB8C1ED1A57A", \
 424                 "0F55B51A06E78E9AC38A035FF520D8B01781BEB1A6BB08617DE3", \
 425                 "000101BAF95C9723C57B6C21DA2EFF2D5ED588BDD5717E212F9D", 0xFE48
 426 #define _EC_GROUP_X9_62_CHAR2_239V1 \
 427                 "800000000000000000000000000000000000000000000000001000000001", \
 428                 "32010857077C5431123A46B808906756F543423E8D27877578125778AC76", \
 429                 "790408F2EEDAF392B012EDEFB3392F30F4327C0CA3F31FC383C422AA8C16", \
 430                 "57927098FA932E7C0A96D3FD5B706EF7E5F5C156E16B7E7C86038552E91D", \
 431                 "61D8EE5077C33FECF6F1A16B268DE469C3C7744EA9A971649FC7A9616305", \
 432                 "2000000000000000000000000000000F4D42FFE1492A4993F1CAD666E447", 4
 433 #define _EC_GROUP_X9_62_CHAR2_239V2 \
 434                 "800000000000000000000000000000000000000000000000001000000001", \
 435                 "4230017757A767FAE42398569B746325D45313AF0766266479B75654E65F", \
 436                 "5037EA654196CFF0CD82B2C14A2FCF2E3FF8775285B545722F03EACDB74B", \
 437                 "28F9D04E900069C8DC47A08534FE76D2B900B7D7EF31F5709F200C4CA205", \
 438                 "5667334C45AFF3B5A03BAD9DD75E2C71A99362567D5453F7FA6E227EC833", \
 439                 "1555555555555555555555555555553C6F2885259C31E3FCDF154624522D", 6
 440 #define _EC_GROUP_X9_62_CHAR2_239V3 \
 441                 "800000000000000000000000000000000000000000000000001000000001", \
 442                 "01238774666A67766D6676F778E676B66999176666E687666D8766C66A9F", \
 443                 "6A941977BA9F6A435199ACFC51067ED587F519C5ECB541B8E44111DE1D40", \
 444                 "70F6E9D04D289C4E89913CE3530BFDE903977D42B146D539BF1BDE4E9C92", \
 445                 "2E5A0EAF6E5E1305B9004DCE5C0ED7FE59A35608F33837C816D80B79F461", \
 446                 "0CCCCCCCCCCCCCCCCCCCCCCCCCCCCCAC4912D2D9DF903EF9888B8A0E4CFF", 0xA
 447 #define _EC_GROUP_X9_62_CHAR2_272W1 \
 448                 "010000000000000000000000000000000000000000000000000000010000000000000B", \
 449                 "91A091F03B5FBA4AB2CCF49C4EDD220FB028712D42BE752B2C40094DBACDB586FB20", \
 450                 "7167EFC92BB2E3CE7C8AAAFF34E12A9C557003D7C73A6FAF003F99F6CC8482E540F7", \
 451                 "6108BABB2CEEBCF787058A056CBE0CFE622D7723A289E08A07AE13EF0D10D171DD8D", \
 452                 "10C7695716851EEF6BA7F6872E6142FBD241B830FF5EFCACECCAB05E02005DDE9D23", \
 453                 "000100FAF51354E0E39E4892DF6E319C72C8161603FA45AA7B998A167B8F1E629521", 0xFF06
 454 #define _EC_GROUP_X9_62_CHAR2_304W1 \
 455                 "010000000000000000000000000000000000000000000000000000000000000000000000000807", \
 456                 "FD0D693149A118F651E6DCE6802085377E5F882D1B510B44160074C1288078365A0396C8E681", \
 457                 "BDDB97E555A50A908E43B01C798EA5DAA6788F1EA2794EFCF57166B8C14039601E55827340BE", \
 458                 "197B07845E9BE2D96ADB0F5F3C7F2CFFBD7A3EB8B6FEC35C7FD67F26DDF6285A644F740A2614", \
 459                 "E19FBEB76E0DA171517ECF401B50289BF014103288527A9B416A105E80260B549FDC1B92C03B", \
 460                 "000101D556572AABAC800101D556572AABAC8001022D5C91DD173F8FB561DA6899164443051D", 0xFE2E
 461 #define _EC_GROUP_X9_62_CHAR2_359V1 \
 462                 "800000000000000000000000000000000000000000000000000000000000000000000000100000000000000001", \
 463                 "5667676A654B20754F356EA92017D946567C46675556F19556A04616B567D223A5E05656FB549016A96656A557", \
 464                 "2472E2D0197C49363F1FE7F5B6DB075D52B6947D135D8CA445805D39BC345626089687742B6329E70680231988", \
 465                 "3C258EF3047767E7EDE0F1FDAA79DAEE3841366A132E163ACED4ED2401DF9C6BDCDE98E8E707C07A2239B1B097", \
 466                 "53D7E08529547048121E9C95F3791DD804963948F34FAE7BF44EA82365DC7868FE57E4AE2DE211305A407104BD", \
 467                 "01AF286BCA1AF286BCA1AF286BCA1AF286BCA1AF286BC9FB8F6B85C556892C20A7EB964FE7719E74F490758D3B", 0x4C
 468 #define _EC_GROUP_X9_62_CHAR2_368W1 \
 469                 "0100000000000000000000000000000000000000000000000000000000000000000000002000000000000000000007", \
 470                 "E0D2EE25095206F5E2A4F9ED229F1F256E79A0E2B455970D8D0D865BD94778C576D62F0AB7519CCD2A1A906AE30D", \
 471                 "FC1217D4320A90452C760A58EDCD30C8DD069B3C34453837A34ED50CB54917E1C2112D84D164F444F8F74786046A", \
 472                 "1085E2755381DCCCE3C1557AFA10C2F0C0C2825646C5B34A394CBCFA8BC16B22E7E789E927BE216F02E1FB136A5F", \
 473                 "7B3EB1BDDCBA62D5D8B2059B525797FC73822C59059C623A45FF3843CEE8F87CD1855ADAA81E2A0750B80FDA2310", \
 474                 "00010090512DA9AF72B08349D98A5DD4C7B0532ECA51CE03E2D10F3B7AC579BD87E909AE40A6F131E9CFCE5BD967", 0xFF70
 475 #define _EC_GROUP_X9_62_CHAR2_431R1 \
 476                 "800000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000001", \
 477                 "1A827EF00DD6FC0E234CAF046C6A5D8A85395B236CC4AD2CF32A0CADBDC9DDF620B0EB9906D0957F6C6FEACD615468DF104DE296CD8F", \
 478                 "10D9B4A3D9047D8B154359ABFB1B7F5485B04CEB868237DDC9DEDA982A679A5A919B626D4E50A8DD731B107A9962381FB5D807BF2618", \
 479                 "120FC05D3C67A99DE161D2F4092622FECA701BE4F50F4758714E8A87BBF2A658EF8C21E7C5EFE965361F6C2999C0C247B0DBD70CE6B7", \
 480                 "20D0AF8903A96F8D5FA2C255745D3C451B302C9346D9B7E485E7BCE41F6B591F3E8F6ADDCBB0BC4C2F947A7DE1A89B625D6A598B3760", \
 481                 "0340340340340340340340340340340340340340340340340340340323C313FAB50589703B5EC68D3587FEC60D161CC149C1AD4A91", 0x2760
 482
 483 #define _EC_GROUP_WTLS_1 \
 484                 "020000000000000000000000000201", \
 485                 "1", \
 486                 "1", \
 487                 "01667979A40BA497E5D5C270780617", \
 488                 "00F44B4AF1ECC2630E08785CEBCC15", \
 489                 "00FFFFFFFFFFFFFFFDBF91AF6DEA73", 2
 490
 491 static EC_GROUP *ec_group_new_GFp_from_hex(const char *prime_in,
 492             const char *a_in, const char *b_in,
 493             const char *x_in, const int y_bit, const char *order_in, const BN_ULONG cofac_in)
 494         {
 495         EC_GROUP *group=NULL;
 496         EC_POINT *P=NULL;
 497         BN_CTX   *ctx=NULL;
 498         BIGNUM   *prime=NULL,*a=NULL,*b=NULL,*x=NULL,*order=NULL;
 499         int      ok=0;
 500
 501         if ((ctx = BN_CTX_new()) == NULL) goto bn_err;
 502         if ((prime = BN_new()) == NULL || (a = BN_new()) == NULL || (b = BN_new()) == NULL ||
 503                 (x = BN_new()) == NULL || (order = BN_new()) == NULL) goto bn_err;
 504
 505         if (!BN_hex2bn(&prime, prime_in)) goto bn_err;
 506         if (!BN_hex2bn(&a, a_in)) goto bn_err;
 507         if (!BN_hex2bn(&b, b_in)) goto bn_err;
 508
 509         if ((group = EC_GROUP_new_curve_GFp(prime, a, b, ctx)) == NULL) goto err;
 510         if ((P = EC_POINT_new(group)) == NULL) goto err;
 511
 512         if (!BN_hex2bn(&x, x_in)) goto bn_err;
 513         if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, y_bit, ctx)) goto err;
 514         if (!BN_hex2bn(&order, order_in)) goto bn_err;
 515         if (!BN_set_word(x, cofac_in)) goto bn_err;
 516         if (!EC_GROUP_set_generator(group, P, order, x)) goto err;
 517         ok=1;
 518 bn_err:
 519         if (!ok)
 520                 ECerr(EC_F_EC_GROUP_NEW_GFP_FROM_HEX, ERR_R_BN_LIB);
 521 err:
 522         if (!ok)
 523                 {
 524                 EC_GROUP_free(group);
 525                 group = NULL;
 526                 }
 527         if (P)     EC_POINT_free(P);
 528         if (ctx)   BN_CTX_free(ctx);
 529         if (prime) BN_free(prime);
 530         if (a)     BN_free(a);
 531         if (b)     BN_free(b);
 532         if (order) BN_free(order);
 533         if (x)     BN_free(x);
 534         return(group);
 535         }
 536
 537 static EC_GROUP *ec_group_new_GF2m_from_hex(const char *prime_in,
 538             const char *a_in, const char *b_in,
 539             const char *x_in, const char *y_in, const char *order_in, const BN_ULONG cofac_in)
 540         {
 541         EC_GROUP *group=NULL;
 542         EC_POINT *P=NULL;
 543         BN_CTX   *ctx=NULL;
 544         BIGNUM   *prime=NULL,*a=NULL,*b=NULL,*x=NULL,*y=NULL,*order=NULL;
 545         int      ok=0;
 546
 547         if ((ctx = BN_CTX_new()) == NULL) goto bn_err;
 548         if ((prime = BN_new()) == NULL || (a = BN_new()) == NULL || (b = BN_new()) == NULL ||
 549                 (x = BN_new()) == NULL || (y = BN_new()) == NULL || (order = BN_new()) == NULL) goto bn_err;
 550
 551         if (!BN_hex2bn(&prime, prime_in)) goto bn_err;
 552         if (!BN_hex2bn(&a, a_in)) goto bn_err;
 553         if (!BN_hex2bn(&b, b_in)) goto bn_err;
 554
 555         if ((group = EC_GROUP_new_curve_GF2m(prime, a, b, ctx)) == NULL) goto err;
 556         if ((P = EC_POINT_new(group)) == NULL) goto err;
 557
 558         if (!BN_hex2bn(&x, x_in)) goto bn_err;
 559         if (!BN_hex2bn(&y, y_in)) goto bn_err;
 560         if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) goto err;
 561         if (!BN_hex2bn(&order, order_in)) goto bn_err;
 562         if (!BN_set_word(x, cofac_in)) goto bn_err;
 563         if (!EC_GROUP_set_generator(group, P, order, x)) goto err;
 564         ok=1;
 565 bn_err:
 566         if (!ok)
 567                 ECerr(EC_F_EC_GROUP_NEW_GF2M_FROM_HEX, ERR_R_BN_LIB);
 568 err:
 569         if (!ok)
 570                 {
 571                 EC_GROUP_free(group);
 572                 group = NULL;
 573                 }
 574         if (P)     EC_POINT_free(P);
 575         if (ctx)   BN_CTX_free(ctx);
 576         if (prime) BN_free(prime);
 577         if (a)     BN_free(a);
 578         if (b)     BN_free(b);
 579         if (order) BN_free(order);
 580         if (x)     BN_free(x);
 581         if (y)     BN_free(y);
 582         return(group);
 583         }
 584
 585 EC_GROUP *EC_GROUP_new_by_name(int name)
 586         {
 587         EC_GROUP *ret = NULL;
 588         switch (name)
 589                 {
 590         case EC_GROUP_NO_CURVE:
 591                 return NULL;
 592
 593         /* prime field curves */
 594         /* prime field curves of degree 112 */
 595         case EC_GROUP_SECG_PRIME_112R1:
 596         case EC_GROUP_WTLS_6:
 597                 ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_112R1);
 598                 break;
 599
 600         case EC_GROUP_SECG_PRIME_112R2:
 601                 ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_112R2);
 602                 break;
 603
 604         case EC_GROUP_WTLS_8:
 605                 ret = ec_group_new_GFp_from_hex(_EC_GROUP_WTLS_8);
 606                 break;
 607
 608         /* prime field curves of degree 128 */
 609         case EC_GROUP_SECG_PRIME_128R1:
 610                 ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_128R1);
 611                 break;
 612
 613         case EC_GROUP_SECG_PRIME_128R2:
 614                 ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_128R2);
 615                 break;
 616
 617         /* prime field curves of degree 160 */
 618         case EC_GROUP_SECG_PRIME_160K1:
 619                 ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_160K1);
 620                 break;
 621
 622         case EC_GROUP_SECG_PRIME_160R1:
 623                 ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_160R1);
 624                 break;
 625
 626         case EC_GROUP_SECG_PRIME_160R2:
 627         case EC_GROUP_WTLS_7:
 628                 ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_160R2);
 629                 break;
 630
 631         case EC_GROUP_WTLS_9:
 632                 ret = ec_group_new_GFp_from_hex(_EC_GROUP_WTLS_9);
 633                 break;
 634
 635         /* prime field curves of degree 192 */
 636         case EC_GROUP_SECG_PRIME_192K1:
 637                 ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_192K1);
 638                 break;
 639
 640         case EC_GROUP_X9_62_PRIME_192V1: /* == EC_GROUP_NIST_PRIME_192 == EC_GROUP_SECG_PRIME_192R1 */
 641                 ret = ec_group_new_GFp_from_hex(_EC_GROUP_NIST_PRIME_192);
 642                 break;
 643
 644         case EC_GROUP_X9_62_PRIME_192V2:
 645                 ret = ec_group_new_GFp_from_hex(_EC_GROUP_X9_62_PRIME_192V2);
 646                 break;
 647
 648         case EC_GROUP_X9_62_PRIME_192V3:
 649                 ret = ec_group_new_GFp_from_hex(_EC_GROUP_X9_62_PRIME_192V3);
 650                 break;
 651
 652         /* prime field curves of degree 224 */
 653         case EC_GROUP_SECG_PRIME_224K1:
 654                 ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_224K1);
 655                 break;
 656
 657         case EC_GROUP_SECG_PRIME_224R1: /* == EC_GROUP_NIST_PRIME_224 */
 658                 ret = ec_group_new_GFp_from_hex(_EC_GROUP_NIST_PRIME_224);
 659                 break;
 660
 661         case EC_GROUP_WTLS_12:
 662                 ret = ec_group_new_GFp_from_hex(_EC_GROUP_WTLS_12);
 663                 break;
 664
 665         /* prime field curves of degree 239 */
 666         case EC_GROUP_X9_62_PRIME_239V1:
 667                 ret = ec_group_new_GFp_from_hex(_EC_GROUP_X9_62_PRIME_239V1);
 668                 break;
 669
 670         case EC_GROUP_X9_62_PRIME_239V2:
 671                 ret = ec_group_new_GFp_from_hex(_EC_GROUP_X9_62_PRIME_239V2);
 672                 break;
 673
 674         case EC_GROUP_X9_62_PRIME_239V3:
 675                 ret = ec_group_new_GFp_from_hex(_EC_GROUP_X9_62_PRIME_239V3);
 676                 break;
 677
 678         /* prime field curves of degree 256 */
 679         case EC_GROUP_SECG_PRIME_256K1:
 680                 ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_256K1);
 681                 break;
 682
 683         case EC_GROUP_SECG_PRIME_256R1: /* == EC_GROUP_NIST_PRIME_256 == EC_GROUP_X9_62_PRIME_256V1 */
 684                 ret = ec_group_new_GFp_from_hex(_EC_GROUP_X9_62_PRIME_256V1);
 685                 break;
 686
 687         /* prime field curves of degree 384 */
 688         case EC_GROUP_SECG_PRIME_384R1: /* == EC_GROUP_NIST_PRIME_384 */
 689                 ret = ec_group_new_GFp_from_hex(_EC_GROUP_NIST_PRIME_384);
 690                 break;
 691
 692         /* prime field curves of degree 521 */
 693         case EC_GROUP_SECG_PRIME_521R1: /* == EC_GROUP_NIST_PRIME_521 */
 694                 ret = ec_group_new_GFp_from_hex(_EC_GROUP_NIST_PRIME_521);
 695                 break;
 696
 697         /* characteristic two field curves */
 698         /* binary curves of degree 113 */
 699         case EC_GROUP_SECG_CHAR2_113R1:
 700         case EC_GROUP_WTLS_4:
 701                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_113R1);
 702                 break;
 703
 704         case EC_GROUP_SECG_CHAR2_113R2:
 705                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_113R2);
 706                 break;
 707
 708         case EC_GROUP_WTLS_1:
 709                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_WTLS_1);
 710                 break;
 711
 712         /* binary curves of degree 131 */
 713         case EC_GROUP_SECG_CHAR2_131R1:
 714                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_131R1);
 715                 break;
 716
 717         case EC_GROUP_SECG_CHAR2_131R2:
 718                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_131R2);
 719                 break;
 720
 721         /* binary curves of degree 163 */
 722         case EC_GROUP_SECG_CHAR2_163K1: /* == EC_GROUP_NIST_CHAR2_K163 */
 723         case EC_GROUP_WTLS_3:
 724                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_163K1);
 725                 break;
 726
 727         case EC_GROUP_SECG_CHAR2_163R1:
 728                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_163R1);
 729                 break;
 730
 731         case EC_GROUP_SECG_CHAR2_163R2: /* == EC_GROUP_NIST_CHAR2_B163 */
 732                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_163R2);
 733                 break;
 734
 735         case EC_GROUP_X9_62_CHAR2_163V1:
 736         case EC_GROUP_WTLS_5:
 737                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_163V1);
 738                 break;
 739
 740         case EC_GROUP_X9_62_CHAR2_163V2:
 741                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_163V2);
 742                 break;
 743
 744         case EC_GROUP_X9_62_CHAR2_163V3:
 745                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_163V3);
 746                 break;
 747
 748         /* binary curves of degree 176 */
 749         case EC_GROUP_X9_62_CHAR2_176V1:
 750                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_176V1);
 751                 break;
 752
 753         /* binary curves of degree 191 */
 754         case EC_GROUP_X9_62_CHAR2_191V1:
 755                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_191V1);
 756                 break;
 757
 758         case EC_GROUP_X9_62_CHAR2_191V2:
 759                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_191V2);
 760                 break;
 761
 762         case EC_GROUP_X9_62_CHAR2_191V3:
 763                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_191V3);
 764                 break;
 765
 766         /* binary curves of degree 193 */
 767         case EC_GROUP_SECG_CHAR2_193R1:
 768                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_193R1);
 769                 break;
 770
 771         case EC_GROUP_SECG_CHAR2_193R2:
 772                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_193R2);
 773                 break;
 774
 775         /* binary curves of degree 208 */
 776         case EC_GROUP_X9_62_CHAR2_208W1:
 777                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_208W1);
 778                 break;
 779
 780         /* binary curves of degree 233 */
 781         case EC_GROUP_SECG_CHAR2_233K1: /* == EC_GROUP_NIST_CHAR2_K233 */
 782         case EC_GROUP_WTLS_10:
 783                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_233K1);
 784                 break;
 785
 786         case EC_GROUP_SECG_CHAR2_233R1: /* == EC_GROUP_NIST_CHAR2_B233 */
 787         case EC_GROUP_WTLS_11:
 788                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_233R1);
 789                 break;
 790
 791         /* binary curves of degree 239 */
 792         case EC_GROUP_SECG_CHAR2_239K1:
 793                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_239K1);
 794                 break;
 795
 796         case EC_GROUP_X9_62_CHAR2_239V1:
 797                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_239V1);
 798                 break;
 799
 800         case EC_GROUP_X9_62_CHAR2_239V2:
 801                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_239V2);
 802                 break;
 803
 804         case EC_GROUP_X9_62_CHAR2_239V3:
 805                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_239V3);
 806                 break;
 807
 808         /* binary curves of degree 272 */
 809         case EC_GROUP_X9_62_CHAR2_272W1:
 810                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_272W1);
 811                 break;
 812
 813         /* binary curves of degree 283 */
 814         case EC_GROUP_SECG_CHAR2_283K1: /* == EC_GROUP_NIST_CHAR2_K283 */
 815                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_283K1);
 816                 break;
 817
 818         case EC_GROUP_SECG_CHAR2_283R1: /* == EC_GROUP_NIST_CHAR2_B283 */
 819                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_283R1);
 820                 break;
 821
 822         /* binary curves of degree 304 */
 823         case EC_GROUP_X9_62_CHAR2_304W1:
 824                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_304W1);
 825                 break;
 826
 827         /* binary curves of degree 359 */
 828         case EC_GROUP_X9_62_CHAR2_359V1:
 829                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_359V1);
 830                 break;
 831
 832         /* binary curves of degree 368 */
 833         case EC_GROUP_X9_62_CHAR2_368W1:
 834                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_368W1);
 835                 break;
 836
 837         /* binary curves of degree 409 */
 838         case EC_GROUP_SECG_CHAR2_409K1: /* == EC_GROUP_NIST_CHAR2_K409 */
 839                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_409K1);
 840                 break;
 841
 842         case EC_GROUP_SECG_CHAR2_409R1: /* == EC_GROUP_NIST_CHAR2_B409 */
 843                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_409R1);
 844                 break;
 845
 846         /* binary curves of degree 431 */
 847         case EC_GROUP_X9_62_CHAR2_431R1:
 848                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_431R1);
 849                 break;
 850
 851         /* binary curves of degree 571 */
 852         case EC_GROUP_SECG_CHAR2_571K1: /* == EC_GROUP_NIST_CHAR2_K571 */
 853                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_571K1);
 854                 break;
 855
 856         case EC_GROUP_SECG_CHAR2_571R1: /* == EC_GROUP_NIST_CHAR2_B571 */
 857                 ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_571R1);
 858                 break;
 859
 860                 }
 861         if (ret == NULL)
 862                 {
 863                 ECerr(EC_F_EC_GROUP_NEW_BY_NAME, EC_R_UNKNOWN_GROUP);
 864                 return NULL;
 865                 }
 866         EC_GROUP_set_nid(ret, name);
 867         return ret;
 868         }
 869
 870
 871 EC_GROUP *EC_GROUP_new_by_nid(int nid)
 872         {
 873         return EC_GROUP_new_by_name(nid);
 874         }