ec_curve.c

/* crypto/ec/ec_curve.c */
/* ====================================================================
 * Copyright (c) 1998-2002 The OpenSSL Project.  All rights reserved.
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions
 * are met:
 *
 * 1. Redistributions of source code must retain the above copyright
 *    notice, this list of conditions and the following disclaimer. 
 *
 * 2. Redistributions in binary form must reproduce the above copyright
 *    notice, this list of conditions and the following disclaimer in
 *    the documentation and/or other materials provided with the
 *    distribution.
 *
 * 3. All advertising materials mentioning features or use of this
 *    software must display the following acknowledgment:
 *    "This product includes software developed by the OpenSSL Project
 *    for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
 *
 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
 *    endorse or promote products derived from this software without
 *    prior written permission. For written permission, please contact
 *    openssl-core@openssl.org.
 *
 * 5. Products derived from this software may not be called "OpenSSL"
 *    nor may "OpenSSL" appear in their names without prior written
 *    permission of the OpenSSL Project.
 *
 * 6. Redistributions of any form whatsoever must retain the following
 *    acknowledgment:
 *    "This product includes software developed by the OpenSSL Project
 *    for use in the OpenSSL Toolkit (http://www.openssl.org/)"
 *
 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
 * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE OpenSSL PROJECT OR
 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
 * OF THE POSSIBILITY OF SUCH DAMAGE.
 * ====================================================================
 *
 * This product includes cryptographic software written by Eric Young
 * (eay@cryptsoft.com).  This product includes software written by Tim
 * Hudson (tjh@cryptsoft.com).
 *
 */
/* ====================================================================
 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
 *
 * Portions of the attached software ("Contribution") are developed by 
 * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
 *
 * The Contribution is licensed pursuant to the OpenSSL open source
 * license provided above.
 *
 * In addition, Sun covenants to all licensees who provide a reciprocal
 * covenant with respect to their own patents if any, not to sue under
 * current and future patent claims necessarily infringed by the making,
 * using, practicing, selling, offering for sale and/or otherwise
 * disposing of the Contribution as delivered hereunder 
 * (or portions thereof), provided that such covenant shall not apply:
 *  1) for code that a licensee deletes from the Contribution;
 *  2) separates from the Contribution; or
 *  3) for infringements caused by:
 *       i) the modification of the Contribution or
 *      ii) the combination of the Contribution with other software or
 *          devices where such combination causes the infringement.
 *
 * The elliptic curve binary polynomial software is originally written by 
 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
 *
 */

#include "ec_lcl.h"
#include <openssl/err.h>
#include <openssl/obj_mac.h>
#include <openssl/asn1.h>
#include <openssl/asn1t.h>

/* #define _EC_GROUP_EXAMPLE_PRIME_CURVE	\
 *		"the prime number p", "a", "b", "the compressed base point", "y-bit", "order", "cofactor"
 */
/* the nist prime curves */
#define _EC_GROUP_NIST_PRIME_192	\
		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",\
		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",\
		"64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1",\
		"188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012",1,\
		"FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831",1
#define _EC_GROUP_NIST_PRIME_224	\
		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",\
		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",\
		"B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",\
		"B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",0,\
		"FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",1
#define _EC_GROUP_NIST_PRIME_384	\
		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF",\
		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC",\
		"B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF",\
		"AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB7",1,\
		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973",1
#define _EC_GROUP_NIST_PRIME_521	\
		"1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"\
		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",\
		"1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"\
		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC",\
		"051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"\
		"315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00",\
		"C6858E06B70404E9CD9E3ECB662395B4429C648139053F"\
		"B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66",0,\
		"1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"\
		"FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409",1
/* the x9.62 prime curves (minus the nist prime curves) */
#define _EC_GROUP_X9_62_PRIME_192V2	\
		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",\
		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",\
		"CC22D6DFB95C6B25E49C0D6364A4E5980C393AA21668D953",\
		"EEA2BAE7E1497842F2DE7769CFE9C989C072AD696F48034A",1,\
		"FFFFFFFFFFFFFFFFFFFFFFFE5FB1A724DC80418648D8DD31",1
#define _EC_GROUP_X9_62_PRIME_192V3	\
		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",\
		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",\
		"22123DC2395A05CAA7423DAECCC94760A7D462256BD56916",\
		"7D29778100C65A1DA1783716588DCE2B8B4AEE8E228F1896",0,\
		"FFFFFFFFFFFFFFFFFFFFFFFF7A62D031C83F4294F640EC13",1
#define _EC_GROUP_X9_62_PRIME_239V1	\
		"7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",\
		"7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",\
		"6B016C3BDCF18941D0D654921475CA71A9DB2FB27D1D37796185C2942C0A",\
		"0FFA963CDCA8816CCC33B8642BEDF905C3D358573D3F27FBBD3B3CB9AAAF",0,\
		"7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF9E5E9A9F5D9071FBD1522688909D0B",1
#define _EC_GROUP_X9_62_PRIME_239V2	\
		"7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",\
		"7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",\
		"617FAB6832576CBBFED50D99F0249C3FEE58B94BA0038C7AE84C8C832F2C",\
		"38AF09D98727705120C921BB5E9E26296A3CDCF2F35757A0EAFD87B830E7",0,\
		"7FFFFFFFFFFFFFFFFFFFFFFF800000CFA7E8594377D414C03821BC582063",1
#define _EC_GROUP_X9_62_PRIME_239V3	\
		"7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",\
		"7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",\
		"255705FA2A306654B1F4CB03D6A750A30C250102D4988717D9BA15AB6D3E",\
		"6768AE8E18BB92CFCF005C949AA2C6D94853D0E660BBF854B1C9505FE95A",1,\
		"7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF975DEB41B3A6057C3C432146526551",1
#define _EC_GROUP_X9_62_PRIME_256V1	\
		"FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF",\
		"FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC",\
		"5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B",\
		"6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296",1,\
		"FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551",1
/* the secg prime curves (minus the nist and x9.62 prime curves) */
#define _EC_GROUP_SECG_PRIME_112R1	\
		"DB7C2ABF62E35E668076BEAD208B",\
		"DB7C2ABF62E35E668076BEAD2088",\
		"659EF8BA043916EEDE8911702B22",\
		"09487239995A5EE76B55F9C2F098",0,\
		"DB7C2ABF62E35E7628DFAC6561C5",1
#define _EC_GROUP_SECG_PRIME_112R2	\
		"DB7C2ABF62E35E668076BEAD208B",\
		"6127C24C05F38A0AAAF65C0EF02C",\
		"51DEF1815DB5ED74FCC34C85D709",\
		"4BA30AB5E892B4E1649DD0928643",1,\
		"36DF0AAFD8B8D7597CA10520D04B",4
#define _EC_GROUP_SECG_PRIME_128R1	\
		"FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",\
		"FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC",\
		"E87579C11079F43DD824993C2CEE5ED3",\
		"161FF7528B899B2D0C28607CA52C5B86",1,\
		"FFFFFFFE0000000075A30D1B9038A115",1
#define _EC_GROUP_SECG_PRIME_128R2	\
		"FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",\
		"D6031998D1B3BBFEBF59CC9BBFF9AEE1",\
		"5EEEFCA380D02919DC2C6558BB6D8A5D",\
		"7B6AA5D85E572983E6FB32A7CDEBC140",0,\
		"3FFFFFFF7FFFFFFFBE0024720613B5A3",4
#define _EC_GROUP_SECG_PRIME_160K1	\
		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",\
		"0",\
		"7",\
		"3B4C382CE37AA192A4019E763036F4F5DD4D7EBB",0,\
		"0100000000000000000001B8FA16DFAB9ACA16B6B3",1
#define _EC_GROUP_SECG_PRIME_160R1	\
		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF",\
		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC",\
		"1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45",\
		"4A96B5688EF573284664698968C38BB913CBFC82",0,\
		"0100000000000000000001F4C8F927AED3CA752257",1
#define _EC_GROUP_SECG_PRIME_160R2	\
		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",\
		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70",\
		"B4E134D3FB59EB8BAB57274904664D5AF50388BA",\
		"52DCB034293A117E1F4FF11B30F7199D3144CE6D",0,\
		"0100000000000000000000351EE786A818F3A1A16B",1
#define _EC_GROUP_SECG_PRIME_192K1	\
		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37",\
		"0",\
		"3",\
		"DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D",1,\
		"FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D",1
#define _EC_GROUP_SECG_PRIME_224K1	\
		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D",\
		"0",\
		"5",\
		"A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C",1,\
		"010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7",1
#define _EC_GROUP_SECG_PRIME_256K1	\
		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F",\
		"0",\
		"7",\
		"79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798",0,\
		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141",1
/* some wap/wtls curves */
#define _EC_GROUP_WTLS_8	\
		"FFFFFFFFFFFFFFFFFFFFFFFFFDE7",\
		"0",\
		"3",\
		"1",0,\
		"0100000000000001ECEA551AD837E9",1
#define _EC_GROUP_WTLS_9	\
		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC808F",\
		"0",\
		"3",\
		"1",0,\
		"0100000000000000000001CDC98AE0E2DE574ABF33",1
#define _EC_GROUP_WTLS_12	\
		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", \
		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", \
		"B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", \
		"B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", 0, \
		"FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", 1

/* #define _EC_GROUP_EXAMPLE_CHAR2_CURVE	\
 *		"prime polynomial", "a", "b", "base point x-coord", "base point y-coord", "order", "cofactor"
 */
#define _EC_GROUP_SECG_CHAR2_113R1 \
		"020000000000000000000000000201", \
		"003088250CA6E7C7FE649CE85820F7", \
		"00E8BEE4D3E2260744188BE0E9C723", \
		"009D73616F35F4AB1407D73562C10F", \
		"00A52830277958EE84D1315ED31886", \
		"0100000000000000D9CCEC8A39E56F", 2
#define _EC_GROUP_SECG_CHAR2_113R2 \
		"020000000000000000000000000201", \
		"00689918DBEC7E5A0DD6DFC0AA55C7", \
		"0095E9A9EC9B297BD4BF36E059184F", \
		"01A57A6A7B26CA5EF52FCDB8164797", \
		"00B3ADC94ED1FE674C06E695BABA1D", \
		"010000000000000108789B2496AF93", 2
#define _EC_GROUP_SECG_CHAR2_131R1 \
		"080000000000000000000000000000010D", \
		"07A11B09A76B562144418FF3FF8C2570B8", \
		"0217C05610884B63B9C6C7291678F9D341", \
		"0081BAF91FDF9833C40F9C181343638399", \
		"078C6E7EA38C001F73C8134B1B4EF9E150", \
		"0400000000000000023123953A9464B54D", 2
#define _EC_GROUP_SECG_CHAR2_131R2 \
		"080000000000000000000000000000010D", \
		"03E5A88919D7CAFCBF415F07C2176573B2", \
		"04B8266A46C55657AC734CE38F018F2192", \
		"0356DCD8F2F95031AD652D23951BB366A8", \
		"0648F06D867940A5366D9E265DE9EB240F", \
		"0400000000000000016954A233049BA98F", 2
#define _EC_GROUP_SECG_CHAR2_163K1 \
 		"0800000000000000000000000000000000000000C9", \
		"1", \
		"1", \
		"02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8", \
		"0289070FB05D38FF58321F2E800536D538CCDAA3D9", \
		"04000000000000000000020108A2E0CC0D99F8A5EF", 2
#define _EC_GROUP_SECG_CHAR2_163R1 \
 		"0800000000000000000000000000000000000000C9", \
		"07B6882CAAEFA84F9554FF8428BD88E246D2782AE2", \
		"0713612DCDDCB40AAB946BDA29CA91F73AF958AFD9", \
		"0369979697AB43897789566789567F787A7876A654", \
		"00435EDB42EFAFB2989D51FEFCE3C80988F41FF883", \
		"03FFFFFFFFFFFFFFFFFFFF48AAB689C29CA710279B", 2
#define _EC_GROUP_SECG_CHAR2_163R2 \
 		"0800000000000000000000000000000000000000C9", \
		"1", \
		"020A601907B8C953CA1481EB10512F78744A3205FD", \
		"03F0EBA16286A2D57EA0991168D4994637E8343E36", \
		"00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1", \
		"040000000000000000000292FE77E70C12A4234C33", 2
#define _EC_GROUP_SECG_CHAR2_193R1 \
		"02000000000000000000000000000000000000000000008001", \
		"0017858FEB7A98975169E171F77B4087DE098AC8A911DF7B01", \
		"00FDFB49BFE6C3A89FACADAA7A1E5BBC7CC1C2E5D831478814", \
		"01F481BC5F0FF84A74AD6CDF6FDEF4BF6179625372D8C0C5E1", \
		"0025E399F2903712CCF3EA9E3A1AD17FB0B3201B6AF7CE1B05", \
		"01000000000000000000000000C7F34A778F443ACC920EBA49", 2
#define _EC_GROUP_SECG_CHAR2_193R2 \
		"02000000000000000000000000000000000000000000008001", \
		"0163F35A5137C2CE3EA6ED8667190B0BC43ECD69977702709B", \
		"00C9BB9E8927D4D64C377E2AB2856A5B16E3EFB7F61D4316AE", \
		"00D9B67D192E0367C803F39E1A7E82CA14A651350AAE617E8F", \
		"01CE94335607C304AC29E7DEFBD9CA01F596F927224CDECF6C", \
		"010000000000000000000000015AAB561B005413CCD4EE99D5", 2
#define _EC_GROUP_SECG_CHAR2_233K1 \
		"020000000000000000000000000000000000000004000000000000000001", \
		"0", \
		"1", \
		"017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126", \
		"01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3", \
		"008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF", 4
#define _EC_GROUP_SECG_CHAR2_233R1 \
		"020000000000000000000000000000000000000004000000000000000001", \
		"000000000000000000000000000000000000000000000000000000000001", \
		"0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD", \
		"00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B", \
		"01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052", \
		"01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7", 2
#define _EC_GROUP_SECG_CHAR2_239K1 \
		"800000000000000000004000000000000000000000000000000000000001", \
		"0", \
		"1", \
		"29A0B6A887A983E9730988A68727A8B2D126C44CC2CC7B2A6555193035DC", \
		"76310804F12E549BDB011C103089E73510ACB275FC312A5DC6B76553F0CA", \
		"2000000000000000000000000000005A79FEC67CB6E91F1C1DA800E478A5", 4
#define _EC_GROUP_SECG_CHAR2_283K1 \
		"0800000000000000000000000000000000000000000000000000000000000000000010A1", \
		"0", \
		"1", \
		"0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836", \
		"01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259", \
		"01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61", 4
#define _EC_GROUP_SECG_CHAR2_283R1 \
		"0800000000000000000000000000000000000000000000000000000000000000000010A1", \
		"000000000000000000000000000000000000000000000000000000000000000000000001", \
		"027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5", \
		"05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053", \
		"03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4", \
		"03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307", 2
#define _EC_GROUP_SECG_CHAR2_409K1 \
		"02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001", \
		"0", \
		"1", \
		"0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746", \
		"01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B", \
		"007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF", 4

#define _EC_GROUP_SECG_CHAR2_409R1 \
		"02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001", \
		"00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", \
		"0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F", \
		"015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7", \
		"0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706", \
		"010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173", 2
#define _EC_GROUP_SECG_CHAR2_571K1 \
		"80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425", \
		"0", \
		"1", \
		"026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972", \
		"0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3", \
		"020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001", 4
#define _EC_GROUP_SECG_CHAR2_571R1 \
		"80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425", \
		"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", \
		"02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A", \
		"0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19", \
		"037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B", \
		"03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47", 2

#define _EC_GROUP_X9_62_CHAR2_163V1 \
 		"0800000000000000000000000000000000000000C9", \
		"072546B5435234A422E0789675F432C89435DE5242", \
		"00C9517D06D5240D3CFF38C74B20B6CD4D6F9DD4D9", \
		"07AF69989546103D79329FCC3D74880F33BBE803CB", \
		"0190C402D65BCC2B845337BC52352774E879B94B0D", \
		"0400000000000000000001E60FC8821CC74DAEAFC1", 2
#define _EC_GROUP_X9_62_CHAR2_163V2 \
 		"0800000000000000000000000000000000000000C9", \
		"0108B39E77C4B108BED981ED0E890E117C511CF072", \
		"0667ACEB38AF4E488C407433FFAE4F1C811638DF20", \
		"0024266E4EB5106D0A964D92C4860E2671DB9B6CC5", \
		"01F64F1C0280E19A062003DBAECEAEDEC1CE141D41", \
		"03FFFFFFFFFFFFFFFFFFFDF64DE1151ADBB78F10A7", 2
#define _EC_GROUP_X9_62_CHAR2_163V3 \
 		"0800000000000000000000000000000000000000C9", \
		"07A526C63D3E25A256A007699F5447E32AE456B50E", \
		"03F7061798EB99E238FD6F1BF95B48FEEB4854252B", \
		"02F9F87B7C574D0BDECF8A22E6524775F98CDEBDCB", \
		"01D42417D750A363F61E455807D047059CA039ACFE", \
		"03FFFFFFFFFFFFFFFFFFFE1AEE140F110AFF961309", 2
#define _EC_GROUP_X9_62_CHAR2_176V1 \
		"0100000000000000000000000000000000080000000007", \
		"E4E6DB2995065C407D9D39B8D0967B96704BA8E9C90B", \
		"5DDA470ABE6414DE8EC133AE28E9BBD7FCEC0AE0FFF2", \
		"8D16C2866798B600F9F08BB4A8E860F3298CE04A5798", \
		"6FA4539C2DADDDD6BAB5167D61B436E1D92BB16A562C", \
		"00010092537397ECA4F6145799D62B0A19CE06FE26AD", 0xFF6E
#define _EC_GROUP_X9_62_CHAR2_191V1 \
		"800000000000000000000000000000000000000000000201", \
		"2866537B676752636A68F56554E12640276B649EF7526267", \
		"2E45EF571F00786F67B0081B9495A3D95462F5DE0AA185EC", \
		"36B3DAF8A23206F9C4F299D7B21A9C369137F2C84AE1AA0D", \
		"765BE73433B3F95E332932E70EA245CA2418EA0EF98018FB", \
		"40000000000000000000000004A20E90C39067C893BBB9A5", 2
#define _EC_GROUP_X9_62_CHAR2_191V2 \
		"800000000000000000000000000000000000000000000201", \
		"401028774D7777C7B7666D1366EA432071274F89FF01E718", \
		"0620048D28BCBD03B6249C99182B7C8CD19700C362C46A01", \
		"3809B2B7CC1B28CC5A87926AAD83FD28789E81E2C9E3BF10", \
		"17434386626D14F3DBF01760D9213A3E1CF37AEC437D668A", \
		"20000000000000000000000050508CB89F652824E06B8173", 4
#define _EC_GROUP_X9_62_CHAR2_191V3 \
		"800000000000000000000000000000000000000000000201", \
		"6C01074756099122221056911C77D77E77A777E7E7E77FCB", \
		"71FE1AF926CF847989EFEF8DB459F66394D90F32AD3F15E8", \
		"375D4CE24FDE434489DE8746E71786015009E66E38A926DD", \
		"545A39176196575D985999366E6AD34CE0A77CD7127B06BE", \
		"155555555555555555555555610C0B196812BFB6288A3EA3", 6
#define _EC_GROUP_X9_62_CHAR2_208W1 \
		"010000000000000000000000000000000800000000000000000007", \
		"0000000000000000000000000000000000000000000000000000", \
		"C8619ED45A62E6212E1160349E2BFA844439FAFC2A3FD1638F9E", \
		"89FDFBE4ABE193DF9559ECF07AC0CE78554E2784EB8C1ED1A57A", \
		"0F55B51A06E78E9AC38A035FF520D8B01781BEB1A6BB08617DE3", \
		"000101BAF95C9723C57B6C21DA2EFF2D5ED588BDD5717E212F9D", 0xFE48
#define _EC_GROUP_X9_62_CHAR2_239V1 \
		"800000000000000000000000000000000000000000000000001000000001", \
		"32010857077C5431123A46B808906756F543423E8D27877578125778AC76", \
		"790408F2EEDAF392B012EDEFB3392F30F4327C0CA3F31FC383C422AA8C16", \
		"57927098FA932E7C0A96D3FD5B706EF7E5F5C156E16B7E7C86038552E91D", \
		"61D8EE5077C33FECF6F1A16B268DE469C3C7744EA9A971649FC7A9616305", \
		"2000000000000000000000000000000F4D42FFE1492A4993F1CAD666E447", 4
#define _EC_GROUP_X9_62_CHAR2_239V2 \
		"800000000000000000000000000000000000000000000000001000000001", \
		"4230017757A767FAE42398569B746325D45313AF0766266479B75654E65F", \
		"5037EA654196CFF0CD82B2C14A2FCF2E3FF8775285B545722F03EACDB74B", \
		"28F9D04E900069C8DC47A08534FE76D2B900B7D7EF31F5709F200C4CA205", \
		"5667334C45AFF3B5A03BAD9DD75E2C71A99362567D5453F7FA6E227EC833", \
		"1555555555555555555555555555553C6F2885259C31E3FCDF154624522D", 6
#define _EC_GROUP_X9_62_CHAR2_239V3 \
		"800000000000000000000000000000000000000000000000001000000001", \
		"01238774666A67766D6676F778E676B66999176666E687666D8766C66A9F", \
		"6A941977BA9F6A435199ACFC51067ED587F519C5ECB541B8E44111DE1D40", \
		"70F6E9D04D289C4E89913CE3530BFDE903977D42B146D539BF1BDE4E9C92", \
		"2E5A0EAF6E5E1305B9004DCE5C0ED7FE59A35608F33837C816D80B79F461", \
		"0CCCCCCCCCCCCCCCCCCCCCCCCCCCCCAC4912D2D9DF903EF9888B8A0E4CFF", 0xA
#define _EC_GROUP_X9_62_CHAR2_272W1 \
		"010000000000000000000000000000000000000000000000000000010000000000000B", \
		"91A091F03B5FBA4AB2CCF49C4EDD220FB028712D42BE752B2C40094DBACDB586FB20", \
		"7167EFC92BB2E3CE7C8AAAFF34E12A9C557003D7C73A6FAF003F99F6CC8482E540F7", \
		"6108BABB2CEEBCF787058A056CBE0CFE622D7723A289E08A07AE13EF0D10D171DD8D", \
		"10C7695716851EEF6BA7F6872E6142FBD241B830FF5EFCACECCAB05E02005DDE9D23", \
		"000100FAF51354E0E39E4892DF6E319C72C8161603FA45AA7B998A167B8F1E629521", 0xFF06
#define _EC_GROUP_X9_62_CHAR2_304W1 \
		"010000000000000000000000000000000000000000000000000000000000000000000000000807", \
		"FD0D693149A118F651E6DCE6802085377E5F882D1B510B44160074C1288078365A0396C8E681", \
		"BDDB97E555A50A908E43B01C798EA5DAA6788F1EA2794EFCF57166B8C14039601E55827340BE", \
		"197B07845E9BE2D96ADB0F5F3C7F2CFFBD7A3EB8B6FEC35C7FD67F26DDF6285A644F740A2614", \
		"E19FBEB76E0DA171517ECF401B50289BF014103288527A9B416A105E80260B549FDC1B92C03B", \
		"000101D556572AABAC800101D556572AABAC8001022D5C91DD173F8FB561DA6899164443051D", 0xFE2E
#define _EC_GROUP_X9_62_CHAR2_359V1 \
		"800000000000000000000000000000000000000000000000000000000000000000000000100000000000000001", \
		"5667676A654B20754F356EA92017D946567C46675556F19556A04616B567D223A5E05656FB549016A96656A557", \
		"2472E2D0197C49363F1FE7F5B6DB075D52B6947D135D8CA445805D39BC345626089687742B6329E70680231988", \
		"3C258EF3047767E7EDE0F1FDAA79DAEE3841366A132E163ACED4ED2401DF9C6BDCDE98E8E707C07A2239B1B097", \
		"53D7E08529547048121E9C95F3791DD804963948F34FAE7BF44EA82365DC7868FE57E4AE2DE211305A407104BD", \
		"01AF286BCA1AF286BCA1AF286BCA1AF286BCA1AF286BC9FB8F6B85C556892C20A7EB964FE7719E74F490758D3B", 0x4C
#define _EC_GROUP_X9_62_CHAR2_368W1 \
		"0100000000000000000000000000000000000000000000000000000000000000000000002000000000000000000007", \
		"E0D2EE25095206F5E2A4F9ED229F1F256E79A0E2B455970D8D0D865BD94778C576D62F0AB7519CCD2A1A906AE30D", \
		"FC1217D4320A90452C760A58EDCD30C8DD069B3C34453837A34ED50CB54917E1C2112D84D164F444F8F74786046A", \
		"1085E2755381DCCCE3C1557AFA10C2F0C0C2825646C5B34A394CBCFA8BC16B22E7E789E927BE216F02E1FB136A5F", \
		"7B3EB1BDDCBA62D5D8B2059B525797FC73822C59059C623A45FF3843CEE8F87CD1855ADAA81E2A0750B80FDA2310", \
		"00010090512DA9AF72B08349D98A5DD4C7B0532ECA51CE03E2D10F3B7AC579BD87E909AE40A6F131E9CFCE5BD967", 0xFF70
#define _EC_GROUP_X9_62_CHAR2_431R1 \
		"800000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000001", \
		"1A827EF00DD6FC0E234CAF046C6A5D8A85395B236CC4AD2CF32A0CADBDC9DDF620B0EB9906D0957F6C6FEACD615468DF104DE296CD8F", \
		"10D9B4A3D9047D8B154359ABFB1B7F5485B04CEB868237DDC9DEDA982A679A5A919B626D4E50A8DD731B107A9962381FB5D807BF2618", \
		"120FC05D3C67A99DE161D2F4092622FECA701BE4F50F4758714E8A87BBF2A658EF8C21E7C5EFE965361F6C2999C0C247B0DBD70CE6B7", \
		"20D0AF8903A96F8D5FA2C255745D3C451B302C9346D9B7E485E7BCE41F6B591F3E8F6ADDCBB0BC4C2F947A7DE1A89B625D6A598B3760", \
		"0340340340340340340340340340340340340340340340340340340323C313FAB50589703B5EC68D3587FEC60D161CC149C1AD4A91", 0x2760

#define _EC_GROUP_WTLS_1 \
		"020000000000000000000000000201", \
		"1", \
		"1", \
		"01667979A40BA497E5D5C270780617", \
		"00F44B4AF1ECC2630E08785CEBCC15", \
		"00FFFFFFFFFFFFFFFDBF91AF6DEA73", 2

static EC_GROUP *ec_group_new_GFp_from_hex(const char *prime_in,
	    const char *a_in, const char *b_in,
	    const char *x_in, const int y_bit, const char *order_in, const BN_ULONG cofac_in)
	{
	EC_GROUP *group=NULL;
	EC_POINT *P=NULL;
	BN_CTX	 *ctx=NULL;
	BIGNUM 	 *prime=NULL,*a=NULL,*b=NULL,*x=NULL,*order=NULL;
	int	 ok=0;

	if ((ctx = BN_CTX_new()) == NULL) goto bn_err;
	if ((prime = BN_new()) == NULL || (a = BN_new()) == NULL || (b = BN_new()) == NULL ||
		(x = BN_new()) == NULL || (order = BN_new()) == NULL) goto bn_err;
	
	if (!BN_hex2bn(&prime, prime_in)) goto bn_err;
	if (!BN_hex2bn(&a, a_in)) goto bn_err;
	if (!BN_hex2bn(&b, b_in)) goto bn_err;

	if ((group = EC_GROUP_new_curve_GFp(prime, a, b, ctx)) == NULL) goto err;
	if ((P = EC_POINT_new(group)) == NULL) goto err;
	
	if (!BN_hex2bn(&x, x_in)) goto bn_err;
	if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, y_bit, ctx)) goto err;
	if (!BN_hex2bn(&order, order_in)) goto bn_err;
	if (!BN_set_word(x, cofac_in)) goto bn_err;
	if (!EC_GROUP_set_generator(group, P, order, x)) goto err;
	ok=1;
bn_err:
	if (!ok)
		ECerr(EC_F_EC_GROUP_NEW_GFP_FROM_HEX, ERR_R_BN_LIB);
err:
	if (!ok)
		{
		EC_GROUP_free(group);
		group = NULL;
		}
	if (P) 	   EC_POINT_free(P);
	if (ctx)   BN_CTX_free(ctx);
	if (prime) BN_free(prime);
	if (a)     BN_free(a);
	if (b)     BN_free(b);
	if (order) BN_free(order);
	if (x)     BN_free(x);
	return(group);
	}

static EC_GROUP *ec_group_new_GF2m_from_hex(const char *prime_in,
	    const char *a_in, const char *b_in,
	    const char *x_in, const char *y_in, const char *order_in, const BN_ULONG cofac_in)
	{
	EC_GROUP *group=NULL;
	EC_POINT *P=NULL;
	BN_CTX	 *ctx=NULL;
	BIGNUM 	 *prime=NULL,*a=NULL,*b=NULL,*x=NULL,*y=NULL,*order=NULL;
	int	 ok=0;

	if ((ctx = BN_CTX_new()) == NULL) goto bn_err;
	if ((prime = BN_new()) == NULL || (a = BN_new()) == NULL || (b = BN_new()) == NULL ||
		(x = BN_new()) == NULL || (y = BN_new()) == NULL || (order = BN_new()) == NULL) goto bn_err;
	
	if (!BN_hex2bn(&prime, prime_in)) goto bn_err;
	if (!BN_hex2bn(&a, a_in)) goto bn_err;
	if (!BN_hex2bn(&b, b_in)) goto bn_err;

	if ((group = EC_GROUP_new_curve_GF2m(prime, a, b, ctx)) == NULL) goto err;
	if ((P = EC_POINT_new(group)) == NULL) goto err;
	
	if (!BN_hex2bn(&x, x_in)) goto bn_err;
	if (!BN_hex2bn(&y, y_in)) goto bn_err;
	if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) goto err;
	if (!BN_hex2bn(&order, order_in)) goto bn_err;
	if (!BN_set_word(x, cofac_in)) goto bn_err;
	if (!EC_GROUP_set_generator(group, P, order, x)) goto err;
	ok=1;
bn_err:
	if (!ok)
		ECerr(EC_F_EC_GROUP_NEW_GF2M_FROM_HEX, ERR_R_BN_LIB);
err:
	if (!ok)
		{
		EC_GROUP_free(group);
		group = NULL;
		}
	if (P) 	   EC_POINT_free(P);
	if (ctx)   BN_CTX_free(ctx);
	if (prime) BN_free(prime);
	if (a)     BN_free(a);
	if (b)     BN_free(b);
	if (order) BN_free(order);
	if (x)     BN_free(x);
	if (y)     BN_free(y);
	return(group);
	}

EC_GROUP *EC_GROUP_new_by_name(int name)
	{
	EC_GROUP *ret = NULL;
	switch (name)
		{
	case EC_GROUP_NO_CURVE:
		return NULL;

	/* prime field curves */	
	/* prime field curves of degree 112 */
	case EC_GROUP_SECG_PRIME_112R1:
	case EC_GROUP_WTLS_6:
		ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_112R1);
		break;
		
	case EC_GROUP_SECG_PRIME_112R2:
		ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_112R2);
		break;
		
	case EC_GROUP_WTLS_8:
		ret = ec_group_new_GFp_from_hex(_EC_GROUP_WTLS_8);
		break;
		
	/* prime field curves of degree 128 */
	case EC_GROUP_SECG_PRIME_128R1:
		ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_128R1);
		break;
		
	case EC_GROUP_SECG_PRIME_128R2:
		ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_128R2);
		break;
		
	/* prime field curves of degree 160 */
	case EC_GROUP_SECG_PRIME_160K1:
		ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_160K1);
		break;
		
	case EC_GROUP_SECG_PRIME_160R1:
		ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_160R1);
		break;
		
	case EC_GROUP_SECG_PRIME_160R2:
	case EC_GROUP_WTLS_7:
		ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_160R2);
		break;
		
	case EC_GROUP_WTLS_9:
		ret = ec_group_new_GFp_from_hex(_EC_GROUP_WTLS_9);
		break;
		
	/* prime field curves of degree 192 */
	case EC_GROUP_SECG_PRIME_192K1:
		ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_192K1);
		break;
		
	case EC_GROUP_X9_62_PRIME_192V1: /* == EC_GROUP_NIST_PRIME_192 == EC_GROUP_SECG_PRIME_192R1 */
		ret = ec_group_new_GFp_from_hex(_EC_GROUP_NIST_PRIME_192);
		break;
		
	case EC_GROUP_X9_62_PRIME_192V2:
		ret = ec_group_new_GFp_from_hex(_EC_GROUP_X9_62_PRIME_192V2);
		break;
		
	case EC_GROUP_X9_62_PRIME_192V3:
		ret = ec_group_new_GFp_from_hex(_EC_GROUP_X9_62_PRIME_192V3);
		break;
		
	/* prime field curves of degree 224 */
	case EC_GROUP_SECG_PRIME_224K1:
		ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_224K1);
		break;
		
	case EC_GROUP_SECG_PRIME_224R1: /* == EC_GROUP_NIST_PRIME_224 */
		ret = ec_group_new_GFp_from_hex(_EC_GROUP_NIST_PRIME_224);
		break;
		
	case EC_GROUP_WTLS_12:
		ret = ec_group_new_GFp_from_hex(_EC_GROUP_WTLS_12);
		break;
	
	/* prime field curves of degree 239 */
	case EC_GROUP_X9_62_PRIME_239V1:
		ret = ec_group_new_GFp_from_hex(_EC_GROUP_X9_62_PRIME_239V1);
		break;
		
	case EC_GROUP_X9_62_PRIME_239V2:
		ret = ec_group_new_GFp_from_hex(_EC_GROUP_X9_62_PRIME_239V2);
		break;
		
	case EC_GROUP_X9_62_PRIME_239V3:
		ret = ec_group_new_GFp_from_hex(_EC_GROUP_X9_62_PRIME_239V3);
		break;
		
	/* prime field curves of degree 256 */
	case EC_GROUP_SECG_PRIME_256K1:
		ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_256K1);
		break;
		
	case EC_GROUP_SECG_PRIME_256R1: /* == EC_GROUP_NIST_PRIME_256 == EC_GROUP_X9_62_PRIME_256V1 */
		ret = ec_group_new_GFp_from_hex(_EC_GROUP_X9_62_PRIME_256V1);
		break;
		
	/* prime field curves of degree 384 */
	case EC_GROUP_SECG_PRIME_384R1: /* == EC_GROUP_NIST_PRIME_384 */
		ret = ec_group_new_GFp_from_hex(_EC_GROUP_NIST_PRIME_384);
		break;
		
	/* prime field curves of degree 521 */
	case EC_GROUP_SECG_PRIME_521R1: /* == EC_GROUP_NIST_PRIME_521 */
		ret = ec_group_new_GFp_from_hex(_EC_GROUP_NIST_PRIME_521);
		break;
	
	/* characteristic two field curves */
	/* binary curves of degree 113 */
	case EC_GROUP_SECG_CHAR2_113R1:
	case EC_GROUP_WTLS_4:
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_113R1);
		break;
	
	case EC_GROUP_SECG_CHAR2_113R2:
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_113R2);
		break;
	
	case EC_GROUP_WTLS_1:
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_WTLS_1);
		break;

	/* binary curves of degree 131 */
	case EC_GROUP_SECG_CHAR2_131R1:
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_131R1);
		break;
	
	case EC_GROUP_SECG_CHAR2_131R2:
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_131R2);
		break;

	/* binary curves of degree 163 */
	case EC_GROUP_SECG_CHAR2_163K1: /* == EC_GROUP_NIST_CHAR2_K163 */
	case EC_GROUP_WTLS_3:
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_163K1);
		break;

	case EC_GROUP_SECG_CHAR2_163R1:
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_163R1);
		break;

	case EC_GROUP_SECG_CHAR2_163R2: /* == EC_GROUP_NIST_CHAR2_B163 */
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_163R2);
		break;

	case EC_GROUP_X9_62_CHAR2_163V1:
	case EC_GROUP_WTLS_5:
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_163V1);
		break;

	case EC_GROUP_X9_62_CHAR2_163V2:
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_163V2);
		break;

	case EC_GROUP_X9_62_CHAR2_163V3:
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_163V3);
		break;

	/* binary curves of degree 176 */
	case EC_GROUP_X9_62_CHAR2_176V1:
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_176V1);
		break;
	
	/* binary curves of degree 191 */
	case EC_GROUP_X9_62_CHAR2_191V1:
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_191V1);
		break;
	
	case EC_GROUP_X9_62_CHAR2_191V2:
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_191V2);
		break;
	
	case EC_GROUP_X9_62_CHAR2_191V3:
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_191V3);
		break;

	/* binary curves of degree 193 */
	case EC_GROUP_SECG_CHAR2_193R1:
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_193R1);
		break;

	case EC_GROUP_SECG_CHAR2_193R2:
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_193R2);
		break;

	/* binary curves of degree 208 */
	case EC_GROUP_X9_62_CHAR2_208W1:
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_208W1);
		break;

	/* binary curves of degree 233 */
	case EC_GROUP_SECG_CHAR2_233K1: /* == EC_GROUP_NIST_CHAR2_K233 */
	case EC_GROUP_WTLS_10:
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_233K1);
		break;

	case EC_GROUP_SECG_CHAR2_233R1: /* == EC_GROUP_NIST_CHAR2_B233 */
	case EC_GROUP_WTLS_11:
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_233R1);
		break;

	/* binary curves of degree 239 */
	case EC_GROUP_SECG_CHAR2_239K1:
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_239K1);
		break;

	case EC_GROUP_X9_62_CHAR2_239V1:
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_239V1);
		break;
	
	case EC_GROUP_X9_62_CHAR2_239V2:
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_239V2);
		break;
	
	case EC_GROUP_X9_62_CHAR2_239V3:
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_239V3);
		break;

	/* binary curves of degree 272 */
	case EC_GROUP_X9_62_CHAR2_272W1:
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_272W1);
		break;

	/* binary curves of degree 283 */
	case EC_GROUP_SECG_CHAR2_283K1: /* == EC_GROUP_NIST_CHAR2_K283 */
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_283K1);
		break;

	case EC_GROUP_SECG_CHAR2_283R1: /* == EC_GROUP_NIST_CHAR2_B283 */
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_283R1);
		break;

	/* binary curves of degree 304 */
	case EC_GROUP_X9_62_CHAR2_304W1:
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_304W1);
		break;

	/* binary curves of degree 359 */
	case EC_GROUP_X9_62_CHAR2_359V1:
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_359V1);
		break;

	/* binary curves of degree 368 */
	case EC_GROUP_X9_62_CHAR2_368W1:
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_368W1);
		break;

	/* binary curves of degree 409 */
	case EC_GROUP_SECG_CHAR2_409K1: /* == EC_GROUP_NIST_CHAR2_K409 */
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_409K1);
		break;

	case EC_GROUP_SECG_CHAR2_409R1: /* == EC_GROUP_NIST_CHAR2_B409 */
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_409R1);
		break;

	/* binary curves of degree 431 */
	case EC_GROUP_X9_62_CHAR2_431R1:
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_X9_62_CHAR2_431R1);
		break;

	/* binary curves of degree 571 */
	case EC_GROUP_SECG_CHAR2_571K1: /* == EC_GROUP_NIST_CHAR2_K571 */
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_571K1);
		break;

	case EC_GROUP_SECG_CHAR2_571R1: /* == EC_GROUP_NIST_CHAR2_B571 */
		ret = ec_group_new_GF2m_from_hex(_EC_GROUP_SECG_CHAR2_571R1);
		break;

		}
	if (ret == NULL)
		{
		ECerr(EC_F_EC_GROUP_NEW_BY_NAME, EC_R_UNKNOWN_GROUP);
		return NULL;
		}
	EC_GROUP_set_nid(ret, name);
	return ret;
	}


EC_GROUP *EC_GROUP_new_by_nid(int nid)
	{
	return EC_GROUP_new_by_name(nid);
	}