/* crypto/ec/ec_curve.c */
+/*
+ * Written by Nils Larsch for the OpenSSL project.
+ */
/* ====================================================================
* Copyright (c) 1998-2002 The OpenSSL Project. All rights reserved.
*
* 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.
+ *
+ * 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"
- */
+typedef struct ec_curve_data_st {
+ int field_type; /* either NID_X9_62_prime_field or
+ * NID_X9_62_characteristic_two_field */
+ const char *p; /* either a prime number or a polynomial */
+ const char *a;
+ const char *b;
+ const char *x; /* the x coordinate of the generator */
+ const char *y; /* the y coordinate of the generator */
+ const char *order; /* the order of the group generated by the
+ * generator */
+ const BN_ULONG cofactor;/* the cofactor */
+ const unsigned char *seed;/* the seed (optional) */
+ size_t seed_len;
+ const char *comment; /* a short (less than 80 characters)
+ * description of the curve */
+} EC_CURVE_DATA;
+
/* 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
+static const unsigned char _EC_NIST_PRIME_192_SEED[] = {
+ 0x30,0x45,0xAE,0x6F,0xC8,0x42,0x2F,0x64,0xED,0x57,
+ 0x95,0x28,0xD3,0x81,0x20,0xEA,0xE1,0x21,0x96,0xD5};
+static const EC_CURVE_DATA _EC_NIST_PRIME_192 = {
+ NID_X9_62_prime_field,
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
+ "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1",
+ "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012",
+ "07192b95ffc8da78631011ed6b24cdd573f977a11e794811",
+ "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831",1,
+ _EC_NIST_PRIME_192_SEED, 20,
+ "192 bit prime curve from X9.62 and SECG"
+ };
+
+static const unsigned char _EC_NIST_PRIME_224_SEED[] = {
+ 0xBD,0x71,0x34,0x47,0x99,0xD5,0xC7,0xFC,0xDC,0x45,
+ 0xB5,0x9F,0xA3,0xB9,0xAB,0x8F,0x6A,0x94,0x8B,0xC5};
+static const EC_CURVE_DATA _EC_NIST_PRIME_224 = {
+ NID_X9_62_prime_field,
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
+ "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
+ "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",
+ "bd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34",
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",1,
+ _EC_NIST_PRIME_224_SEED, 20,
+ "SECG/NIST recommended curve over a 224 bit prime field"
+ };
+
+static const unsigned char _EC_NIST_PRIME_384_SEED[] = {
+ 0xA3,0x35,0x92,0x6A,0xA3,0x19,0xA2,0x7A,0x1D,0x00,
+ 0x89,0x6A,0x67,0x73,0xA4,0x82,0x7A,0xCD,0xAC,0x73};
+static const EC_CURVE_DATA _EC_NIST_PRIME_384 = {
+ NID_X9_62_prime_field,
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFF"
+ "FFF0000000000000000FFFFFFFF",
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFF"
+ "FFF0000000000000000FFFFFFFC",
+ "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC6563"
+ "98D8A2ED19D2A85C8EDD3EC2AEF",
+ "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F"
+ "25DBF55296C3A545E3872760AB7",
+ "3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b"
+ "1ce1d7e819d7a431d7c90ea0e5f",
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0"
+ "DB248B0A77AECEC196ACCC52973",1,
+ _EC_NIST_PRIME_384_SEED, 20,
+ "SECG/NIST recommended curve over a 384 bit prime field"
+ };
+
+static const unsigned char _EC_NIST_PRIME_521_SEED[] = {
+ 0xD0,0x9E,0x88,0x00,0x29,0x1C,0xB8,0x53,0x96,0xCC,
+ 0x67,0x17,0x39,0x32,0x84,0xAA,0xA0,0xDA,0x64,0xBA};
+static const EC_CURVE_DATA _EC_NIST_PRIME_521 = {
+ NID_X9_62_prime_field,
+ "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
+ "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC",
+ "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156"
+ "193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00",
+ "C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14"
+ "B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66",
+ "011839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c9"
+ "7ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650",
+ "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51"
+ "868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409",1,
+ _EC_NIST_PRIME_521_SEED, 20,
+ "SECG/NIST recommended curve over a 521 bit prime field"
+ };
/* 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
+static const unsigned char _EC_X9_62_PRIME_192V2_SEED[] = {
+ 0x31,0xA9,0x2E,0xE2,0x02,0x9F,0xD1,0x0D,0x90,0x1B,
+ 0x11,0x3E,0x99,0x07,0x10,0xF0,0xD2,0x1A,0xC6,0xB6};
+static const EC_CURVE_DATA _EC_X9_62_PRIME_192V2 = {
+ NID_X9_62_prime_field,
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
+ "CC22D6DFB95C6B25E49C0D6364A4E5980C393AA21668D953",
+ "EEA2BAE7E1497842F2DE7769CFE9C989C072AD696F48034A",
+ "6574d11d69b6ec7a672bb82a083df2f2b0847de970b2de15",
+ "FFFFFFFFFFFFFFFFFFFFFFFE5FB1A724DC80418648D8DD31",1,
+ _EC_X9_62_PRIME_192V2_SEED, 20,
+ "192 bit prime curve from X9.62"
+ };
+
+static const unsigned char _EC_X9_62_PRIME_192V3_SEED[] = {
+ 0xC4,0x69,0x68,0x44,0x35,0xDE,0xB3,0x78,0xC4,0xB6,
+ 0x5C,0xA9,0x59,0x1E,0x2A,0x57,0x63,0x05,0x9A,0x2E};
+static const EC_CURVE_DATA _EC_X9_62_PRIME_192V3 = {
+ NID_X9_62_prime_field,
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
+ "22123DC2395A05CAA7423DAECCC94760A7D462256BD56916",
+ "7D29778100C65A1DA1783716588DCE2B8B4AEE8E228F1896",
+ "38a90f22637337334b49dcb66a6dc8f9978aca7648a943b0",
+ "FFFFFFFFFFFFFFFFFFFFFFFF7A62D031C83F4294F640EC13",1,
+ _EC_X9_62_PRIME_192V3_SEED, 20,
+ "192 bit prime curve from X9.62"
+ };
+
+static const unsigned char _EC_X9_62_PRIME_239V1_SEED[] = {
+ 0xE4,0x3B,0xB4,0x60,0xF0,0xB8,0x0C,0xC0,0xC0,0xB0,
+ 0x75,0x79,0x8E,0x94,0x80,0x60,0xF8,0x32,0x1B,0x7D};
+static const EC_CURVE_DATA _EC_X9_62_PRIME_239V1 = {
+ NID_X9_62_prime_field,
+ "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",
+ "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",
+ "6B016C3BDCF18941D0D654921475CA71A9DB2FB27D1D37796185C2942C0A",
+ "0FFA963CDCA8816CCC33B8642BEDF905C3D358573D3F27FBBD3B3CB9AAAF",
+ "7debe8e4e90a5dae6e4054ca530ba04654b36818ce226b39fccb7b02f1ae",
+ "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF9E5E9A9F5D9071FBD1522688909D0B",1,
+ _EC_X9_62_PRIME_239V1_SEED, 20,
+ "239 bit prime curve from X9.62"
+ };
+
+static const unsigned char _EC_X9_62_PRIME_239V2_SEED[] = {
+ 0xE8,0xB4,0x01,0x16,0x04,0x09,0x53,0x03,0xCA,0x3B,
+ 0x80,0x99,0x98,0x2B,0xE0,0x9F,0xCB,0x9A,0xE6,0x16};
+static const EC_CURVE_DATA _EC_X9_62_PRIME_239V2 = {
+ NID_X9_62_prime_field,
+ "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",
+ "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",
+ "617FAB6832576CBBFED50D99F0249C3FEE58B94BA0038C7AE84C8C832F2C",
+ "38AF09D98727705120C921BB5E9E26296A3CDCF2F35757A0EAFD87B830E7",
+ "5b0125e4dbea0ec7206da0fc01d9b081329fb555de6ef460237dff8be4ba",
+ "7FFFFFFFFFFFFFFFFFFFFFFF800000CFA7E8594377D414C03821BC582063",1,
+ _EC_X9_62_PRIME_239V2_SEED, 20,
+ "239 bit prime curve from X9.62"
+ };
+
+static const unsigned char _EC_X9_62_PRIME_239V3_SEED[] = {
+ 0x7D,0x73,0x74,0x16,0x8F,0xFE,0x34,0x71,0xB6,0x0A,
+ 0x85,0x76,0x86,0xA1,0x94,0x75,0xD3,0xBF,0xA2,0xFF};
+static const EC_CURVE_DATA _EC_X9_62_PRIME_239V3 = {
+ NID_X9_62_prime_field,
+ "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",
+ "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",
+ "255705FA2A306654B1F4CB03D6A750A30C250102D4988717D9BA15AB6D3E",
+ "6768AE8E18BB92CFCF005C949AA2C6D94853D0E660BBF854B1C9505FE95A",
+ "1607e6898f390c06bc1d552bad226f3b6fcfe48b6e818499af18e3ed6cf3",
+ "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF975DEB41B3A6057C3C432146526551",1,
+ _EC_X9_62_PRIME_239V3_SEED, 20,
+ "239 bit prime curve from X9.62"
+ };
+
+static const unsigned char _EC_X9_62_PRIME_256V1_SEED[] = {
+ 0xC4,0x9D,0x36,0x08,0x86,0xE7,0x04,0x93,0x6A,0x66,
+ 0x78,0xE1,0x13,0x9D,0x26,0xB7,0x81,0x9F,0x7E,0x90};
+static const EC_CURVE_DATA _EC_X9_62_PRIME_256V1 = {
+ NID_X9_62_prime_field,
+ "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF",
+ "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC",
+ "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B",
+ "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296",
+ "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5",
+ "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551",1,
+ _EC_X9_62_PRIME_256V1_SEED, 20,
+ "256 bit prime curve from X9.62 and SECG"
+ };
/* 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
+static const unsigned char _EC_SECG_PRIME_112R1_SEED[] = {
+ 0x00,0xF5,0x0B,0x02,0x8E,0x4D,0x69,0x6E,0x67,0x68,
+ 0x75,0x61,0x51,0x75,0x29,0x04,0x72,0x78,0x3F,0xB1};
+static const EC_CURVE_DATA _EC_SECG_PRIME_112R1 = {
+ NID_X9_62_prime_field,
+ "DB7C2ABF62E35E668076BEAD208B",
+ "DB7C2ABF62E35E668076BEAD2088",
+ "659EF8BA043916EEDE8911702B22",
+ "09487239995A5EE76B55F9C2F098",
+ "a89ce5af8724c0a23e0e0ff77500",
+ "DB7C2ABF62E35E7628DFAC6561C5",1,
+ _EC_SECG_PRIME_112R1_SEED, 20,
+ "SECG/WTLS recommended curve over a 112 bit prime field"
+ };
+
+static const unsigned char _EC_SECG_PRIME_112R2_SEED[] = {
+ 0x00,0x27,0x57,0xA1,0x11,0x4D,0x69,0x6E,0x67,0x68,
+ 0x75,0x61,0x51,0x75,0x53,0x16,0xC0,0x5E,0x0B,0xD4};
+static const EC_CURVE_DATA _EC_SECG_PRIME_112R2 = {
+ NID_X9_62_prime_field,
+ "DB7C2ABF62E35E668076BEAD208B",
+ "6127C24C05F38A0AAAF65C0EF02C",
+ "51DEF1815DB5ED74FCC34C85D709",
+ "4BA30AB5E892B4E1649DD0928643",
+ "adcd46f5882e3747def36e956e97",
+ "36DF0AAFD8B8D7597CA10520D04B",4,
+ _EC_SECG_PRIME_112R2_SEED, 20,
+ "SECG recommended curve over a 112 bit prime field"
+ };
+
+static const unsigned char _EC_SECG_PRIME_128R1_SEED[] = {
+ 0x00,0x0E,0x0D,0x4D,0x69,0x6E,0x67,0x68,0x75,0x61,
+ 0x51,0x75,0x0C,0xC0,0x3A,0x44,0x73,0xD0,0x36,0x79};
+static const EC_CURVE_DATA _EC_SECG_PRIME_128R1 = {
+ NID_X9_62_prime_field,
+ "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
+ "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC",
+ "E87579C11079F43DD824993C2CEE5ED3",
+ "161FF7528B899B2D0C28607CA52C5B86",
+ "cf5ac8395bafeb13c02da292dded7a83",
+ "FFFFFFFE0000000075A30D1B9038A115",1,
+ _EC_SECG_PRIME_128R1_SEED, 20,
+ "SECG recommended curve over a 128 bit prime field"
+ };
+
+static const unsigned char _EC_SECG_PRIME_128R2_SEED[] = {
+ 0x00,0x4D,0x69,0x6E,0x67,0x68,0x75,0x61,0x51,0x75,
+ 0x12,0xD8,0xF0,0x34,0x31,0xFC,0xE6,0x3B,0x88,0xF4};
+static const EC_CURVE_DATA _EC_SECG_PRIME_128R2 = {
+ NID_X9_62_prime_field,
+ "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
+ "D6031998D1B3BBFEBF59CC9BBFF9AEE1",
+ "5EEEFCA380D02919DC2C6558BB6D8A5D",
+ "7B6AA5D85E572983E6FB32A7CDEBC140",
+ "27b6916a894d3aee7106fe805fc34b44",
+ "3FFFFFFF7FFFFFFFBE0024720613B5A3",4,
+ _EC_SECG_PRIME_128R2_SEED, 20,
+ "SECG recommended curve over a 128 bit prime field"
+ };
+
+static const EC_CURVE_DATA _EC_SECG_PRIME_160K1 = {
+ NID_X9_62_prime_field,
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
+ "0",
+ "7",
+ "3B4C382CE37AA192A4019E763036F4F5DD4D7EBB",
+ "938cf935318fdced6bc28286531733c3f03c4fee",
+ "0100000000000000000001B8FA16DFAB9ACA16B6B3",1,
+ NULL, 0,
+ "SECG recommended curve over a 160 bit prime field"
+ };
+
+static const unsigned char _EC_SECG_PRIME_160R1_SEED[] = {
+ 0x10,0x53,0xCD,0xE4,0x2C,0x14,0xD6,0x96,0xE6,0x76,
+ 0x87,0x56,0x15,0x17,0x53,0x3B,0xF3,0xF8,0x33,0x45};
+static const EC_CURVE_DATA _EC_SECG_PRIME_160R1 = {
+ NID_X9_62_prime_field,
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF",
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC",
+ "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45",
+ "4A96B5688EF573284664698968C38BB913CBFC82",
+ "23a628553168947d59dcc912042351377ac5fb32",
+ "0100000000000000000001F4C8F927AED3CA752257",1,
+ _EC_SECG_PRIME_160R1_SEED, 20,
+ "SECG recommended curve over a 160 bit prime field"
+ };
+
+static const unsigned char _EC_SECG_PRIME_160R2_SEED[] = {
+ 0xB9,0x9B,0x99,0xB0,0x99,0xB3,0x23,0xE0,0x27,0x09,
+ 0xA4,0xD6,0x96,0xE6,0x76,0x87,0x56,0x15,0x17,0x51};
+static const EC_CURVE_DATA _EC_SECG_PRIME_160R2 = {
+ NID_X9_62_prime_field,
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70",
+ "B4E134D3FB59EB8BAB57274904664D5AF50388BA",
+ "52DCB034293A117E1F4FF11B30F7199D3144CE6D",
+ "feaffef2e331f296e071fa0df9982cfea7d43f2e",
+ "0100000000000000000000351EE786A818F3A1A16B",1,
+ _EC_SECG_PRIME_160R2_SEED, 20,
+ "SECG/WTLS recommended curve over a 160 bit prime field"
+ };
+
+static const EC_CURVE_DATA _EC_SECG_PRIME_192K1 = {
+ NID_X9_62_prime_field,
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37",
+ "0",
+ "3",
+ "DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D",
+ "9b2f2f6d9c5628a7844163d015be86344082aa88d95e2f9d",
+ "FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D",1,
+ NULL, 20,
+ "SECG recommended curve over a 192 bit prime field"
+ };
+
+static const EC_CURVE_DATA _EC_SECG_PRIME_224K1 = {
+ NID_X9_62_prime_field,
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D",
+ "0",
+ "5",
+ "A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C",
+ "7e089fed7fba344282cafbd6f7e319f7c0b0bd59e2ca4bdb556d61a5",
+ "010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7",1,
+ NULL, 20,
+ "SECG recommended curve over a 224 bit prime field"
+ };
+
+static const EC_CURVE_DATA _EC_SECG_PRIME_256K1 = {
+ NID_X9_62_prime_field,
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F",
+ "0",
+ "7",
+ "79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798",
+ "483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8",
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141",1,
+ NULL, 20,
+ "SECG recommended curve over a 256 bit prime field"
+ };
+
/* some wap/wtls curves */
-#define _EC_GROUP_WTLS_6 \
- "DB7C2ABF62E35E668076BEAD208B",\
- "DB7C2ABF62E35E668076BEAD2088",\
- "659EF8BA043916EEDE8911702B22",\
- "09487239995A5EE76B55F9C2F098",0,\
- "DB7C2ABF62E35E7628DFAC6561C5",1
-#define _EC_GROUP_WTLS_8 \
- "FFFFFFFFFFFFFFFFFFFFFFFFFDE7",\
- "0",\
- "3",\
- "1",0,\
- "0100000000000001ECEA551AD837E9",1
-#define _EC_GROUP_WTLS_9 \
- "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC808F",\
- "0",\
- "3",\
- "1",0,\
- "0100000000000000000001CDC98AE0E2DE574ABF33",1
-
-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)
+static const EC_CURVE_DATA _EC_WTLS_8 = {
+ NID_X9_62_prime_field,
+ "FFFFFFFFFFFFFFFFFFFFFFFFFDE7",
+ "0",
+ "3",
+ "1",
+ "2",
+ "0100000000000001ECEA551AD837E9",1,
+ NULL, 20,
+ "112 bit prime curve from the WTLS standard"
+ };
+
+static const EC_CURVE_DATA _EC_WTLS_9 = {
+ NID_X9_62_prime_field,
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC808F",
+ "0",
+ "3",
+ "1",
+ "2",
+ "0100000000000000000001CDC98AE0E2DE574ABF33",1,
+ NULL, 20,
+ "160 bit prime curve from the WTLS standard"
+ };
+
+static const EC_CURVE_DATA _EC_WTLS_12 = {
+ NID_X9_62_prime_field,
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
+ "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
+ "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",
+ "bd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34",
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", 1,
+ NULL, 0,
+ "224 bit prime curve from the WTLS standard"
+ };
+
+/* characteristic two curves */
+static const unsigned char _EC_SECG_CHAR2_113R1_SEED[] = {
+ 0x10,0xE7,0x23,0xAB,0x14,0xD6,0x96,0xE6,0x76,0x87,
+ 0x56,0x15,0x17,0x56,0xFE,0xBF,0x8F,0xCB,0x49,0xA9};
+static const EC_CURVE_DATA _EC_SECG_CHAR2_113R1 = {
+ NID_X9_62_characteristic_two_field,
+ "020000000000000000000000000201",
+ "003088250CA6E7C7FE649CE85820F7",
+ "00E8BEE4D3E2260744188BE0E9C723",
+ "009D73616F35F4AB1407D73562C10F",
+ "00A52830277958EE84D1315ED31886",
+ "0100000000000000D9CCEC8A39E56F", 2,
+ _EC_SECG_CHAR2_113R1_SEED, 20,
+ "SECG recommended curve over a 113 bit binary field"
+ };
+
+static const unsigned char _EC_SECG_CHAR2_113R2_SEED[] = {
+ 0x10,0xC0,0xFB,0x15,0x76,0x08,0x60,0xDE,0xF1,0xEE,
+ 0xF4,0xD6,0x96,0xE6,0x76,0x87,0x56,0x15,0x17,0x5D};
+static const EC_CURVE_DATA _EC_SECG_CHAR2_113R2 = {
+ NID_X9_62_characteristic_two_field,
+ "020000000000000000000000000201",
+ "00689918DBEC7E5A0DD6DFC0AA55C7",
+ "0095E9A9EC9B297BD4BF36E059184F",
+ "01A57A6A7B26CA5EF52FCDB8164797",
+ "00B3ADC94ED1FE674C06E695BABA1D",
+ "010000000000000108789B2496AF93", 2,
+ _EC_SECG_CHAR2_113R2_SEED, 20,
+ "SECG recommended curve over a 113 bit binary field"
+ };
+
+static const unsigned char _EC_SECG_CHAR2_131R1_SEED[] = {
+ 0x4D,0x69,0x6E,0x67,0x68,0x75,0x61,0x51,0x75,0x98,
+ 0x5B,0xD3,0xAD,0xBA,0xDA,0x21,0xB4,0x3A,0x97,0xE2};
+static const EC_CURVE_DATA _EC_SECG_CHAR2_131R1 = {
+ NID_X9_62_characteristic_two_field,
+ "080000000000000000000000000000010D",
+ "07A11B09A76B562144418FF3FF8C2570B8",
+ "0217C05610884B63B9C6C7291678F9D341",
+ "0081BAF91FDF9833C40F9C181343638399",
+ "078C6E7EA38C001F73C8134B1B4EF9E150",
+ "0400000000000000023123953A9464B54D", 2,
+ _EC_SECG_CHAR2_131R1_SEED, 20,
+ "SECG/WTLS recommended curve over a 131 bit binary field"
+ };
+
+static const unsigned char _EC_SECG_CHAR2_131R2_SEED[] = {
+ 0x98,0x5B,0xD3,0xAD,0xBA,0xD4,0xD6,0x96,0xE6,0x76,
+ 0x87,0x56,0x15,0x17,0x5A,0x21,0xB4,0x3A,0x97,0xE3};
+static const EC_CURVE_DATA _EC_SECG_CHAR2_131R2 = {
+ NID_X9_62_characteristic_two_field,
+ "080000000000000000000000000000010D",
+ "03E5A88919D7CAFCBF415F07C2176573B2",
+ "04B8266A46C55657AC734CE38F018F2192",
+ "0356DCD8F2F95031AD652D23951BB366A8",
+ "0648F06D867940A5366D9E265DE9EB240F",
+ "0400000000000000016954A233049BA98F", 2,
+ _EC_SECG_CHAR2_131R2_SEED, 20,
+ "SECG recommended curve over a 131 bit binary field"
+ };
+
+static const EC_CURVE_DATA _EC_SECG_CHAR2_163K1 = {
+ NID_X9_62_characteristic_two_field,
+ "0800000000000000000000000000000000000000C9",
+ "1",
+ "1",
+ "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
+ "0289070FB05D38FF58321F2E800536D538CCDAA3D9",
+ "04000000000000000000020108A2E0CC0D99F8A5EF", 2,
+ NULL, 0,
+ "SECG/NIST/WTLS recommended curve over a 163 bit binary field"
+ };
+
+static const unsigned char _EC_SECG_CHAR2_163R1_SEED[] = {
+ 0x24,0xB7,0xB1,0x37,0xC8,0xA1,0x4D,0x69,0x6E,0x67,
+ 0x68,0x75,0x61,0x51,0x75,0x6F,0xD0,0xDA,0x2E,0x5C};
+static const EC_CURVE_DATA _EC_SECG_CHAR2_163R1 = {
+ NID_X9_62_characteristic_two_field,
+ "0800000000000000000000000000000000000000C9",
+ "07B6882CAAEFA84F9554FF8428BD88E246D2782AE2",
+ "0713612DCDDCB40AAB946BDA29CA91F73AF958AFD9",
+ "0369979697AB43897789566789567F787A7876A654",
+ "00435EDB42EFAFB2989D51FEFCE3C80988F41FF883",
+ "03FFFFFFFFFFFFFFFFFFFF48AAB689C29CA710279B", 2,
+ _EC_SECG_CHAR2_163R1_SEED, 20,
+ "SECG recommended curve over a 163 bit binary field"
+ };
+
+static const unsigned char _EC_SECG_CHAR2_163R2_SEED[] = {
+ 0x85,0xE2,0x5B,0xFE,0x5C,0x86,0x22,0x6C,0xDB,0x12,
+ 0x01,0x6F,0x75,0x53,0xF9,0xD0,0xE6,0x93,0xA2,0x68};
+static const EC_CURVE_DATA _EC_SECG_CHAR2_163R2 ={
+ NID_X9_62_characteristic_two_field,
+ "0800000000000000000000000000000000000000C9",
+ "1",
+ "020A601907B8C953CA1481EB10512F78744A3205FD",
+ "03F0EBA16286A2D57EA0991168D4994637E8343E36",
+ "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
+ "040000000000000000000292FE77E70C12A4234C33", 2,
+ _EC_SECG_CHAR2_163R2_SEED, 20,
+ "SECG/NIST recommended curve over a 163 bit binary field"
+ };
+
+static const unsigned char _EC_SECG_CHAR2_193R1_SEED[] = {
+ 0x10,0x3F,0xAE,0xC7,0x4D,0x69,0x6E,0x67,0x68,0x75,
+ 0x61,0x51,0x75,0x77,0x7F,0xC5,0xB1,0x91,0xEF,0x30};
+static const EC_CURVE_DATA _EC_SECG_CHAR2_193R1 = {
+ NID_X9_62_characteristic_two_field,
+ "02000000000000000000000000000000000000000000008001",
+ "0017858FEB7A98975169E171F77B4087DE098AC8A911DF7B01",
+ "00FDFB49BFE6C3A89FACADAA7A1E5BBC7CC1C2E5D831478814",
+ "01F481BC5F0FF84A74AD6CDF6FDEF4BF6179625372D8C0C5E1",
+ "0025E399F2903712CCF3EA9E3A1AD17FB0B3201B6AF7CE1B05",
+ "01000000000000000000000000C7F34A778F443ACC920EBA49", 2,
+ _EC_SECG_CHAR2_193R1_SEED, 20,
+ "SECG recommended curve over a 193 bit binary field"
+ };
+
+static const unsigned char _EC_SECG_CHAR2_193R2_SEED[] = {
+ 0x10,0xB7,0xB4,0xD6,0x96,0xE6,0x76,0x87,0x56,0x15,
+ 0x17,0x51,0x37,0xC8,0xA1,0x6F,0xD0,0xDA,0x22,0x11};
+static const EC_CURVE_DATA _EC_SECG_CHAR2_193R2 = {
+ NID_X9_62_characteristic_two_field,
+ "02000000000000000000000000000000000000000000008001",
+ "0163F35A5137C2CE3EA6ED8667190B0BC43ECD69977702709B",
+ "00C9BB9E8927D4D64C377E2AB2856A5B16E3EFB7F61D4316AE",
+ "00D9B67D192E0367C803F39E1A7E82CA14A651350AAE617E8F",
+ "01CE94335607C304AC29E7DEFBD9CA01F596F927224CDECF6C",
+ "010000000000000000000000015AAB561B005413CCD4EE99D5", 2,
+ _EC_SECG_CHAR2_193R2_SEED, 20,
+ "SECG recommended curve over a 193 bit binary field"
+ };
+
+static const EC_CURVE_DATA _EC_SECG_CHAR2_233K1 = {
+ NID_X9_62_characteristic_two_field,
+ "020000000000000000000000000000000000000004000000000000000001",
+ "0",
+ "1",
+ "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
+ "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
+ "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF", 4,
+ NULL, 0,
+ "SECG/NIST/WTLS recommended curve over a 233 bit binary field"
+ };
+
+static const unsigned char _EC_SECG_CHAR2_233R1_SEED[] = {
+ 0x74,0xD5,0x9F,0xF0,0x7F,0x6B,0x41,0x3D,0x0E,0xA1,
+ 0x4B,0x34,0x4B,0x20,0xA2,0xDB,0x04,0x9B,0x50,0xC3};
+static const EC_CURVE_DATA _EC_SECG_CHAR2_233R1 = {
+ NID_X9_62_characteristic_two_field,
+ "020000000000000000000000000000000000000004000000000000000001",
+ "000000000000000000000000000000000000000000000000000000000001",
+ "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
+ "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
+ "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
+ "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7", 2,
+ _EC_SECG_CHAR2_233R1_SEED, 20,
+ "SECG/NIST/WTLS recommended curve over a 233 bit binary field"
+ };
+
+static const EC_CURVE_DATA _EC_SECG_CHAR2_239K1 = {
+ NID_X9_62_characteristic_two_field,
+ "800000000000000000004000000000000000000000000000000000000001",
+ "0",
+ "1",
+ "29A0B6A887A983E9730988A68727A8B2D126C44CC2CC7B2A6555193035DC",
+ "76310804F12E549BDB011C103089E73510ACB275FC312A5DC6B76553F0CA",
+ "2000000000000000000000000000005A79FEC67CB6E91F1C1DA800E478A5", 4,
+ NULL, 0,
+ "SECG recommended curve over a 239 bit binary field"
+ };
+
+static const EC_CURVE_DATA _EC_SECG_CHAR2_283K1 = {
+ NID_X9_62_characteristic_two_field,
+ "080000000000000000000000000000000000000000000000000000000000000000001"
+ "0A1",
+ "0",
+ "1",
+ "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492"
+ "836",
+ "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2"
+ "259",
+ "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163"
+ "C61", 4,
+ NULL, 20,
+ "SECG/NIST recommended curve over a 283 bit binary field"
+ };
+
+static const unsigned char _EC_SECG_CHAR2_283R1_SEED[] = {
+ 0x77,0xE2,0xB0,0x73,0x70,0xEB,0x0F,0x83,0x2A,0x6D,
+ 0xD5,0xB6,0x2D,0xFC,0x88,0xCD,0x06,0xBB,0x84,0xBE};
+static const EC_CURVE_DATA _EC_SECG_CHAR2_283R1 = {
+ NID_X9_62_characteristic_two_field,
+ "080000000000000000000000000000000000000000000000000000000000000000001"
+ "0A1",
+ "000000000000000000000000000000000000000000000000000000000000000000000"
+ "001",
+ "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A"
+ "2F5",
+ "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12"
+ "053",
+ "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE811"
+ "2F4",
+ "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB"
+ "307", 2,
+ _EC_SECG_CHAR2_283R1_SEED, 20,
+ "SECG/NIST recommended curve over a 283 bit binary field"
+ };
+
+static const EC_CURVE_DATA _EC_SECG_CHAR2_409K1 = {
+ NID_X9_62_characteristic_two_field,
+ "020000000000000000000000000000000000000000000000000000000000000000000"
+ "00000000000008000000000000000000001",
+ "0",
+ "1",
+ "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C4601"
+ "89EB5AAAA62EE222EB1B35540CFE9023746",
+ "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6"
+ "C42E9C55215AA9CA27A5863EC48D8E0286B",
+ "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400"
+ "EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF", 4,
+ NULL, 0,
+ "SECG/NIST recommended curve over a 409 bit binary field"
+ };
+
+static const unsigned char _EC_SECG_CHAR2_409R1_SEED[] = {
+ 0x40,0x99,0xB5,0xA4,0x57,0xF9,0xD6,0x9F,0x79,0x21,
+ 0x3D,0x09,0x4C,0x4B,0xCD,0x4D,0x42,0x62,0x21,0x0B};
+static const EC_CURVE_DATA _EC_SECG_CHAR2_409R1 = {
+ NID_X9_62_characteristic_two_field,
+ "020000000000000000000000000000000000000000000000000000000000000000000"
+ "00000000000008000000000000000000001",
+ "000000000000000000000000000000000000000000000000000000000000000000000"
+ "00000000000000000000000000000000001",
+ "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A19"
+ "7B272822F6CD57A55AA4F50AE317B13545F",
+ "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255"
+ "A868A1180515603AEAB60794E54BB7996A7",
+ "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514"
+ "F1FDF4B4F40D2181B3681C364BA0273C706",
+ "010000000000000000000000000000000000000000000000000001E2AAD6A612F3330"
+ "7BE5FA47C3C9E052F838164CD37D9A21173", 2,
+ _EC_SECG_CHAR2_409R1_SEED, 20,
+ "SECG/NIST recommended curve over a 409 bit binary field"
+ };
+
+static const EC_CURVE_DATA _EC_SECG_CHAR2_571K1 = {
+ NID_X9_62_characteristic_two_field,
+ "800000000000000000000000000000000000000000000000000000000000000000000"
+ "000000000000000000000000000000000000000000000000000000000000000000000"
+ "00425",
+ "0",
+ "1",
+ "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA443709"
+ "58493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A0"
+ "1C8972",
+ "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D497"
+ "9C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143E"
+ "F1C7A3",
+ "020000000000000000000000000000000000000000000000000000000000000000000"
+ "000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F63"
+ "7C1001", 4,
+ NULL, 0,
+ "SECG/NIST recommended curve over a 571 bit binary field"
+ };
+
+static const unsigned char _EC_SECG_CHAR2_571R1_SEED[] = {
+ 0x2A,0xA0,0x58,0xF7,0x3A,0x0E,0x33,0xAB,0x48,0x6B,
+ 0x0F,0x61,0x04,0x10,0xC5,0x3A,0x7F,0x13,0x23,0x10};
+static const EC_CURVE_DATA _EC_SECG_CHAR2_571R1 = {
+ NID_X9_62_characteristic_two_field,
+ "800000000000000000000000000000000000000000000000000000000000000000000"
+ "000000000000000000000000000000000000000000000000000000000000000000000"
+ "00425",
+ "000000000000000000000000000000000000000000000000000000000000000000000"
+ "000000000000000000000000000000000000000000000000000000000000000000000"
+ "000001",
+ "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFA"
+ "BBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F29"
+ "55727A",
+ "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53"
+ "950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8E"
+ "EC2D19",
+ "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423"
+ "E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B"
+ "8AC15B",
+ "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+ "FFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2F"
+ "E84E47", 2,
+ _EC_SECG_CHAR2_571R1_SEED, 20,
+ "SECG/NIST recommended curve over a 571 bit binary field"
+ };
+
+static const unsigned char _EC_X9_62_CHAR2_163V1_SEED[] = {
+ 0xD2,0xC0,0xFB,0x15,0x76,0x08,0x60,0xDE,0xF1,0xEE,
+ 0xF4,0xD6,0x96,0xE6,0x76,0x87,0x56,0x15,0x17,0x54};
+static const EC_CURVE_DATA _EC_X9_62_CHAR2_163V1 = {
+ NID_X9_62_characteristic_two_field,
+ "080000000000000000000000000000000000000107",
+ "072546B5435234A422E0789675F432C89435DE5242",
+ "00C9517D06D5240D3CFF38C74B20B6CD4D6F9DD4D9",
+ "07AF69989546103D79329FCC3D74880F33BBE803CB",
+ "01EC23211B5966ADEA1D3F87F7EA5848AEF0B7CA9F",
+ "0400000000000000000001E60FC8821CC74DAEAFC1", 2,
+ _EC_X9_62_CHAR2_163V1_SEED, 20,
+ "163 bit binary curve from X9.62"
+ };
+
+static const unsigned char _EC_X9_62_CHAR2_163V2_SEED[] = {
+ 0x53,0x81,0x4C,0x05,0x0D,0x44,0xD6,0x96,0xE6,0x76,
+ 0x87,0x56,0x15,0x17,0x58,0x0C,0xA4,0xE2,0x9F,0xFD};
+static const EC_CURVE_DATA _EC_X9_62_CHAR2_163V2 = {
+ NID_X9_62_characteristic_two_field,
+ "080000000000000000000000000000000000000107",
+ "0108B39E77C4B108BED981ED0E890E117C511CF072",
+ "0667ACEB38AF4E488C407433FFAE4F1C811638DF20",
+ "0024266E4EB5106D0A964D92C4860E2671DB9B6CC5",
+ "079F684DDF6684C5CD258B3890021B2386DFD19FC5",
+ "03FFFFFFFFFFFFFFFFFFFDF64DE1151ADBB78F10A7", 2,
+ _EC_X9_62_CHAR2_163V2_SEED, 20,
+ "163 bit binary curve from X9.62"
+ };
+
+static const unsigned char _EC_X9_62_CHAR2_163V3_SEED[] = {
+ 0x50,0xCB,0xF1,0xD9,0x5C,0xA9,0x4D,0x69,0x6E,0x67,
+ 0x68,0x75,0x61,0x51,0x75,0xF1,0x6A,0x36,0xA3,0xB8};
+static const EC_CURVE_DATA _EC_X9_62_CHAR2_163V3 = {
+ NID_X9_62_characteristic_two_field,
+ "080000000000000000000000000000000000000107",
+ "07A526C63D3E25A256A007699F5447E32AE456B50E",
+ "03F7061798EB99E238FD6F1BF95B48FEEB4854252B",
+ "02F9F87B7C574D0BDECF8A22E6524775F98CDEBDCB",
+ "05B935590C155E17EA48EB3FF3718B893DF59A05D0",
+ "03FFFFFFFFFFFFFFFFFFFE1AEE140F110AFF961309", 2,
+ _EC_X9_62_CHAR2_163V3_SEED, 20,
+ "163 bit binary curve from X9.62"
+ };
+
+static const EC_CURVE_DATA _EC_X9_62_CHAR2_176V1 = {
+ NID_X9_62_characteristic_two_field,
+ "0100000000000000000000000000000000080000000007",
+ "E4E6DB2995065C407D9D39B8D0967B96704BA8E9C90B",
+ "5DDA470ABE6414DE8EC133AE28E9BBD7FCEC0AE0FFF2",
+ "8D16C2866798B600F9F08BB4A8E860F3298CE04A5798",
+ "6FA4539C2DADDDD6BAB5167D61B436E1D92BB16A562C",
+ "00010092537397ECA4F6145799D62B0A19CE06FE26AD", 0xFF6E,
+ NULL, 0,
+ "176 bit binary curve from X9.62"
+ };
+
+static const unsigned char _EC_X9_62_CHAR2_191V1_SEED[] = {
+ 0x4E,0x13,0xCA,0x54,0x27,0x44,0xD6,0x96,0xE6,0x76,
+ 0x87,0x56,0x15,0x17,0x55,0x2F,0x27,0x9A,0x8C,0x84};
+static const EC_CURVE_DATA _EC_X9_62_CHAR2_191V1 = {
+ NID_X9_62_characteristic_two_field,
+ "800000000000000000000000000000000000000000000201",
+ "2866537B676752636A68F56554E12640276B649EF7526267",
+ "2E45EF571F00786F67B0081B9495A3D95462F5DE0AA185EC",
+ "36B3DAF8A23206F9C4F299D7B21A9C369137F2C84AE1AA0D",
+ "765BE73433B3F95E332932E70EA245CA2418EA0EF98018FB",
+ "40000000000000000000000004A20E90C39067C893BBB9A5", 2,
+ _EC_X9_62_CHAR2_191V1_SEED, 20,
+ "191 bit binary curve from X9.62"
+ };
+
+static const unsigned char _EC_X9_62_CHAR2_191V2_SEED[] = {
+ 0x08,0x71,0xEF,0x2F,0xEF,0x24,0xD6,0x96,0xE6,0x76,
+ 0x87,0x56,0x15,0x17,0x58,0xBE,0xE0,0xD9,0x5C,0x15};
+static const EC_CURVE_DATA _EC_X9_62_CHAR2_191V2 = {
+ NID_X9_62_characteristic_two_field,
+ "800000000000000000000000000000000000000000000201",
+ "401028774D7777C7B7666D1366EA432071274F89FF01E718",
+ "0620048D28BCBD03B6249C99182B7C8CD19700C362C46A01",
+ "3809B2B7CC1B28CC5A87926AAD83FD28789E81E2C9E3BF10",
+ "17434386626D14F3DBF01760D9213A3E1CF37AEC437D668A",
+ "20000000000000000000000050508CB89F652824E06B8173", 4,
+ _EC_X9_62_CHAR2_191V2_SEED, 20,
+ "191 bit binary curve from X9.62"
+ };
+
+static const unsigned char _EC_X9_62_CHAR2_191V3_SEED[] = {
+ 0xE0,0x53,0x51,0x2D,0xC6,0x84,0xD6,0x96,0xE6,0x76,
+ 0x87,0x56,0x15,0x17,0x50,0x67,0xAE,0x78,0x6D,0x1F};
+static const EC_CURVE_DATA _EC_X9_62_CHAR2_191V3 = {
+ NID_X9_62_characteristic_two_field,
+ "800000000000000000000000000000000000000000000201",
+ "6C01074756099122221056911C77D77E77A777E7E7E77FCB",
+ "71FE1AF926CF847989EFEF8DB459F66394D90F32AD3F15E8",
+ "375D4CE24FDE434489DE8746E71786015009E66E38A926DD",
+ "545A39176196575D985999366E6AD34CE0A77CD7127B06BE",
+ "155555555555555555555555610C0B196812BFB6288A3EA3", 6,
+ _EC_X9_62_CHAR2_191V3_SEED, 20,
+ "191 bit binary curve from X9.62"
+ };
+
+static const EC_CURVE_DATA _EC_X9_62_CHAR2_208W1 = {
+ NID_X9_62_characteristic_two_field,
+ "010000000000000000000000000000000800000000000000000007",
+ "0000000000000000000000000000000000000000000000000000",
+ "C8619ED45A62E6212E1160349E2BFA844439FAFC2A3FD1638F9E",
+ "89FDFBE4ABE193DF9559ECF07AC0CE78554E2784EB8C1ED1A57A",
+ "0F55B51A06E78E9AC38A035FF520D8B01781BEB1A6BB08617DE3",
+ "000101BAF95C9723C57B6C21DA2EFF2D5ED588BDD5717E212F9D", 0xFE48,
+ NULL, 0,
+ "208 bit binary curve from X9.62"
+ };
+
+static const unsigned char _EC_X9_62_CHAR2_239V1_SEED[] = {
+ 0xD3,0x4B,0x9A,0x4D,0x69,0x6E,0x67,0x68,0x75,0x61,
+ 0x51,0x75,0xCA,0x71,0xB9,0x20,0xBF,0xEF,0xB0,0x5D};
+static const EC_CURVE_DATA _EC_X9_62_CHAR2_239V1 = {
+ NID_X9_62_characteristic_two_field,
+ "800000000000000000000000000000000000000000000000001000000001",
+ "32010857077C5431123A46B808906756F543423E8D27877578125778AC76",
+ "790408F2EEDAF392B012EDEFB3392F30F4327C0CA3F31FC383C422AA8C16",
+ "57927098FA932E7C0A96D3FD5B706EF7E5F5C156E16B7E7C86038552E91D",
+ "61D8EE5077C33FECF6F1A16B268DE469C3C7744EA9A971649FC7A9616305",
+ "2000000000000000000000000000000F4D42FFE1492A4993F1CAD666E447", 4,
+ _EC_X9_62_CHAR2_239V1_SEED, 20,
+ "239 bit binary curve from X9.62"
+ };
+
+static const unsigned char _EC_X9_62_CHAR2_239V2_SEED[] = {
+ 0x2A,0xA6,0x98,0x2F,0xDF,0xA4,0xD6,0x96,0xE6,0x76,
+ 0x87,0x56,0x15,0x17,0x5D,0x26,0x67,0x27,0x27,0x7D};
+static const EC_CURVE_DATA _EC_X9_62_CHAR2_239V2 = {
+ NID_X9_62_characteristic_two_field,
+ "800000000000000000000000000000000000000000000000001000000001",
+ "4230017757A767FAE42398569B746325D45313AF0766266479B75654E65F",
+ "5037EA654196CFF0CD82B2C14A2FCF2E3FF8775285B545722F03EACDB74B",
+ "28F9D04E900069C8DC47A08534FE76D2B900B7D7EF31F5709F200C4CA205",
+ "5667334C45AFF3B5A03BAD9DD75E2C71A99362567D5453F7FA6E227EC833",
+ "1555555555555555555555555555553C6F2885259C31E3FCDF154624522D", 6,
+ _EC_X9_62_CHAR2_239V2_SEED, 20,
+ "239 bit binary curve from X9.62"
+ };
+
+static const unsigned char _EC_X9_62_CHAR2_239V3_SEED[] = {
+ 0x9E,0x07,0x6F,0x4D,0x69,0x6E,0x67,0x68,0x75,0x61,
+ 0x51,0x75,0xE1,0x1E,0x9F,0xDD,0x77,0xF9,0x20,0x41};
+static const EC_CURVE_DATA _EC_X9_62_CHAR2_239V3 = {
+ NID_X9_62_characteristic_two_field,
+ "800000000000000000000000000000000000000000000000001000000001",
+ "01238774666A67766D6676F778E676B66999176666E687666D8766C66A9F",
+ "6A941977BA9F6A435199ACFC51067ED587F519C5ECB541B8E44111DE1D40",
+ "70F6E9D04D289C4E89913CE3530BFDE903977D42B146D539BF1BDE4E9C92",
+ "2E5A0EAF6E5E1305B9004DCE5C0ED7FE59A35608F33837C816D80B79F461",
+ "0CCCCCCCCCCCCCCCCCCCCCCCCCCCCCAC4912D2D9DF903EF9888B8A0E4CFF", 0xA,
+ _EC_X9_62_CHAR2_239V3_SEED, 20,
+ "239 bit binary curve from X9.62"
+ };
+
+static const EC_CURVE_DATA _EC_X9_62_CHAR2_272W1 = {
+ NID_X9_62_characteristic_two_field,
+ "010000000000000000000000000000000000000000000000000000010000000000000"
+ "B",
+ "91A091F03B5FBA4AB2CCF49C4EDD220FB028712D42BE752B2C40094DBACDB586FB20",
+ "7167EFC92BB2E3CE7C8AAAFF34E12A9C557003D7C73A6FAF003F99F6CC8482E540F7",
+ "6108BABB2CEEBCF787058A056CBE0CFE622D7723A289E08A07AE13EF0D10D171DD8D",
+ "10C7695716851EEF6BA7F6872E6142FBD241B830FF5EFCACECCAB05E02005DDE9D23",
+ "000100FAF51354E0E39E4892DF6E319C72C8161603FA45AA7B998A167B8F1E629521",
+ 0xFF06,
+ NULL, 0,
+ "272 bit binary curve from X9.62"
+ };
+
+static const EC_CURVE_DATA _EC_X9_62_CHAR2_304W1 = {
+ NID_X9_62_characteristic_two_field,
+ "010000000000000000000000000000000000000000000000000000000000000000000"
+ "000000807",
+ "FD0D693149A118F651E6DCE6802085377E5F882D1B510B44160074C1288078365A039"
+ "6C8E681",
+ "BDDB97E555A50A908E43B01C798EA5DAA6788F1EA2794EFCF57166B8C14039601E558"
+ "27340BE",
+ "197B07845E9BE2D96ADB0F5F3C7F2CFFBD7A3EB8B6FEC35C7FD67F26DDF6285A644F7"
+ "40A2614",
+ "E19FBEB76E0DA171517ECF401B50289BF014103288527A9B416A105E80260B549FDC1"
+ "B92C03B",
+ "000101D556572AABAC800101D556572AABAC8001022D5C91DD173F8FB561DA6899164"
+ "443051D", 0xFE2E,
+ NULL, 0,
+ "304 bit binary curve from X9.62"
+ };
+
+static const unsigned char _EC_X9_62_CHAR2_359V1_SEED[] = {
+ 0x2B,0x35,0x49,0x20,0xB7,0x24,0xD6,0x96,0xE6,0x76,
+ 0x87,0x56,0x15,0x17,0x58,0x5B,0xA1,0x33,0x2D,0xC6};
+static const EC_CURVE_DATA _EC_X9_62_CHAR2_359V1 = {
+ NID_X9_62_characteristic_two_field,
+ "800000000000000000000000000000000000000000000000000000000000000000000"
+ "000100000000000000001",
+ "5667676A654B20754F356EA92017D946567C46675556F19556A04616B567D223A5E05"
+ "656FB549016A96656A557",
+ "2472E2D0197C49363F1FE7F5B6DB075D52B6947D135D8CA445805D39BC34562608968"
+ "7742B6329E70680231988",
+ "3C258EF3047767E7EDE0F1FDAA79DAEE3841366A132E163ACED4ED2401DF9C6BDCDE9"
+ "8E8E707C07A2239B1B097",
+ "53D7E08529547048121E9C95F3791DD804963948F34FAE7BF44EA82365DC7868FE57E"
+ "4AE2DE211305A407104BD",
+ "01AF286BCA1AF286BCA1AF286BCA1AF286BCA1AF286BC9FB8F6B85C556892C20A7EB9"
+ "64FE7719E74F490758D3B", 0x4C,
+ _EC_X9_62_CHAR2_359V1_SEED, 20,
+ "359 bit binary curve from X9.62"
+ };
+
+static const EC_CURVE_DATA _EC_X9_62_CHAR2_368W1 = {
+ NID_X9_62_characteristic_two_field,
+ "010000000000000000000000000000000000000000000000000000000000000000000"
+ "0002000000000000000000007",
+ "E0D2EE25095206F5E2A4F9ED229F1F256E79A0E2B455970D8D0D865BD94778C576D62"
+ "F0AB7519CCD2A1A906AE30D",
+ "FC1217D4320A90452C760A58EDCD30C8DD069B3C34453837A34ED50CB54917E1C2112"
+ "D84D164F444F8F74786046A",
+ "1085E2755381DCCCE3C1557AFA10C2F0C0C2825646C5B34A394CBCFA8BC16B22E7E78"
+ "9E927BE216F02E1FB136A5F",
+ "7B3EB1BDDCBA62D5D8B2059B525797FC73822C59059C623A45FF3843CEE8F87CD1855"
+ "ADAA81E2A0750B80FDA2310",
+ "00010090512DA9AF72B08349D98A5DD4C7B0532ECA51CE03E2D10F3B7AC579BD87E90"
+ "9AE40A6F131E9CFCE5BD967", 0xFF70,
+ NULL, 0,
+ "368 bit binary curve from X9.62"
+ };
+
+static const EC_CURVE_DATA _EC_X9_62_CHAR2_431R1 = {
+ NID_X9_62_characteristic_two_field,
+ "800000000000000000000000000000000000000000000000000000000000000000000"
+ "000000001000000000000000000000000000001",
+ "1A827EF00DD6FC0E234CAF046C6A5D8A85395B236CC4AD2CF32A0CADBDC9DDF620B0E"
+ "B9906D0957F6C6FEACD615468DF104DE296CD8F",
+ "10D9B4A3D9047D8B154359ABFB1B7F5485B04CEB868237DDC9DEDA982A679A5A919B6"
+ "26D4E50A8DD731B107A9962381FB5D807BF2618",
+ "120FC05D3C67A99DE161D2F4092622FECA701BE4F50F4758714E8A87BBF2A658EF8C2"
+ "1E7C5EFE965361F6C2999C0C247B0DBD70CE6B7",
+ "20D0AF8903A96F8D5FA2C255745D3C451B302C9346D9B7E485E7BCE41F6B591F3E8F6"
+ "ADDCBB0BC4C2F947A7DE1A89B625D6A598B3760",
+ "0340340340340340340340340340340340340340340340340340340323C313FAB5058"
+ "9703B5EC68D3587FEC60D161CC149C1AD4A91", 0x2760,
+ NULL, 0,
+ "431 bit binary curve from X9.62"
+ };
+
+static const EC_CURVE_DATA _EC_WTLS_1 = {
+ NID_X9_62_characteristic_two_field,
+ "020000000000000000000000000201",
+ "1",
+ "1",
+ "01667979A40BA497E5D5C270780617",
+ "00F44B4AF1ECC2630E08785CEBCC15",
+ "00FFFFFFFFFFFFFFFDBF91AF6DEA73", 2,
+ NULL, 0,
+ "113 bit binary curve from the WTLS standard"
+ };
+
+typedef struct _ec_list_element_st {
+ int nid;
+ const EC_CURVE_DATA *data;
+ } ec_list_element;
+
+static const ec_list_element curve_list[] = {
+ /* prime field curves */
+ /* secg curves */
+ { NID_secp112r1, &_EC_SECG_PRIME_112R1},
+ { NID_secp112r2, &_EC_SECG_PRIME_112R2},
+ { NID_secp128r1, &_EC_SECG_PRIME_128R1},
+ { NID_secp128r2, &_EC_SECG_PRIME_128R2},
+ { NID_secp160k1, &_EC_SECG_PRIME_160K1},
+ { NID_secp160r1, &_EC_SECG_PRIME_160R1},
+ { NID_secp160r2, &_EC_SECG_PRIME_160R2},
+ /* SECG secp192r1 is the same as X9.62 prime192v1 and hence omitted */
+ { NID_secp192k1, &_EC_SECG_PRIME_192K1},
+ { NID_secp224k1, &_EC_SECG_PRIME_224K1},
+ { NID_secp224r1, &_EC_NIST_PRIME_224},
+ { NID_secp256k1, &_EC_SECG_PRIME_256K1},
+ /* SECG secp256r1 is the same as X9.62 prime256v1 and hence omitted */
+ { NID_secp384r1, &_EC_NIST_PRIME_384},
+ { NID_secp521r1, &_EC_NIST_PRIME_521},
+ /* X9.62 curves */
+ { NID_X9_62_prime192v1, &_EC_NIST_PRIME_192},
+ { NID_X9_62_prime192v2, &_EC_X9_62_PRIME_192V2},
+ { NID_X9_62_prime192v3, &_EC_X9_62_PRIME_192V3},
+ { NID_X9_62_prime239v1, &_EC_X9_62_PRIME_239V1},
+ { NID_X9_62_prime239v2, &_EC_X9_62_PRIME_239V2},
+ { NID_X9_62_prime239v3, &_EC_X9_62_PRIME_239V3},
+ { NID_X9_62_prime256v1, &_EC_X9_62_PRIME_256V1},
+ /* characteristic two field curves */
+ /* secg curves */
+ { NID_sect113r1, &_EC_SECG_CHAR2_113R1},
+ { NID_sect113r2, &_EC_SECG_CHAR2_113R2},
+ { NID_sect131r1, &_EC_SECG_CHAR2_131R1},
+ { NID_sect131r2, &_EC_SECG_CHAR2_131R2},
+ { NID_sect163k1, &_EC_SECG_CHAR2_163K1},
+ { NID_sect163r1, &_EC_SECG_CHAR2_163R1},
+ { NID_sect163r2, &_EC_SECG_CHAR2_163R2},
+ { NID_sect193r1, &_EC_SECG_CHAR2_193R1},
+ { NID_sect193r2, &_EC_SECG_CHAR2_193R2},
+ { NID_sect233k1, &_EC_SECG_CHAR2_233K1},
+ { NID_sect233r1, &_EC_SECG_CHAR2_233R1},
+ { NID_sect239k1, &_EC_SECG_CHAR2_239K1},
+ { NID_sect283k1, &_EC_SECG_CHAR2_283K1},
+ { NID_sect283r1, &_EC_SECG_CHAR2_283R1},
+ { NID_sect409k1, &_EC_SECG_CHAR2_409K1},
+ { NID_sect409r1, &_EC_SECG_CHAR2_409R1},
+ { NID_sect571k1, &_EC_SECG_CHAR2_571K1},
+ { NID_sect571r1, &_EC_SECG_CHAR2_571R1},
+ /* X9.62 curves */
+ { NID_X9_62_c2pnb163v1, &_EC_X9_62_CHAR2_163V1},
+ { NID_X9_62_c2pnb163v2, &_EC_X9_62_CHAR2_163V2},
+ { NID_X9_62_c2pnb163v3, &_EC_X9_62_CHAR2_163V3},
+ { NID_X9_62_c2pnb176v1, &_EC_X9_62_CHAR2_176V1},
+ { NID_X9_62_c2tnb191v1, &_EC_X9_62_CHAR2_191V1},
+ { NID_X9_62_c2tnb191v2, &_EC_X9_62_CHAR2_191V2},
+ { NID_X9_62_c2tnb191v3, &_EC_X9_62_CHAR2_191V3},
+ { NID_X9_62_c2pnb208w1, &_EC_X9_62_CHAR2_208W1},
+ { NID_X9_62_c2tnb239v1, &_EC_X9_62_CHAR2_239V1},
+ { NID_X9_62_c2tnb239v2, &_EC_X9_62_CHAR2_239V2},
+ { NID_X9_62_c2tnb239v3, &_EC_X9_62_CHAR2_239V3},
+ { NID_X9_62_c2pnb272w1, &_EC_X9_62_CHAR2_272W1},
+ { NID_X9_62_c2pnb304w1, &_EC_X9_62_CHAR2_304W1},
+ { NID_X9_62_c2tnb359v1, &_EC_X9_62_CHAR2_359V1},
+ { NID_X9_62_c2pnb368w1, &_EC_X9_62_CHAR2_368W1},
+ { NID_X9_62_c2tnb431r1, &_EC_X9_62_CHAR2_431R1},
+ /* the WAP/WTLS curves */
+ { NID_wap_wsg_idm_ecid_wtls1, &_EC_WTLS_1},
+ { NID_wap_wsg_idm_ecid_wtls3, &_EC_SECG_CHAR2_163K1},
+ { NID_wap_wsg_idm_ecid_wtls4, &_EC_SECG_CHAR2_113R1},
+ { NID_wap_wsg_idm_ecid_wtls5, &_EC_X9_62_CHAR2_163V1},
+ { NID_wap_wsg_idm_ecid_wtls6, &_EC_SECG_PRIME_112R1},
+ { NID_wap_wsg_idm_ecid_wtls7, &_EC_SECG_PRIME_160R2},
+ { NID_wap_wsg_idm_ecid_wtls8, &_EC_WTLS_8},
+ { NID_wap_wsg_idm_ecid_wtls9, &_EC_WTLS_9 },
+ { NID_wap_wsg_idm_ecid_wtls10, &_EC_SECG_CHAR2_233K1},
+ { NID_wap_wsg_idm_ecid_wtls11, &_EC_SECG_CHAR2_233R1},
+ { NID_wap_wsg_idm_ecid_wtls12, &_EC_WTLS_12},
+};
+
+static size_t curve_list_length = sizeof(curve_list)/sizeof(ec_list_element);
+
+static EC_GROUP *ec_group_new_from_data(const EC_CURVE_DATA *data)
{
EC_GROUP *group=NULL;
EC_POINT *P=NULL;
BN_CTX *ctx=NULL;
- BIGNUM *prime=NULL,*a=NULL,*b=NULL,*x=NULL,*order=NULL;
+ BIGNUM *p=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 || (order = BN_new()) == NULL) goto bn_err;
+ if ((ctx = BN_CTX_new()) == NULL)
+ {
+ ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+ if ((p = BN_new()) == NULL || (a = BN_new()) == NULL ||
+ (b = BN_new()) == NULL || (x = BN_new()) == NULL ||
+ (y = BN_new()) == NULL || (order = BN_new()) == NULL)
+ {
+ ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_MALLOC_FAILURE);
+ goto 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 (!BN_hex2bn(&p, data->p) || !BN_hex2bn(&a, data->a)
+ || !BN_hex2bn(&b, data->b))
+ {
+ ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB);
+ goto 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 (data->field_type == NID_X9_62_prime_field)
+ {
+ if ((group = EC_GROUP_new_curve_GFp(p, a, b, ctx)) == NULL)
+ {
+ ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
+ goto err;
+ }
+ }
+ else
+ { /* field_type == NID_X9_62_characteristic_two_field */
+ if ((group = EC_GROUP_new_curve_GF2m(p, a, b, ctx)) == NULL)
+ {
+ ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
+ goto err;
+ }
+ }
+
+ if ((P = EC_POINT_new(group)) == NULL)
+ {
+ ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
+ 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;
+ if (!BN_hex2bn(&x, data->x) || !BN_hex2bn(&y, data->y))
+ {
+ ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB);
+ goto err;
+ }
+ if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx))
+ {
+ ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
+ goto err;
+ }
+ if (!BN_hex2bn(&order, data->order) || !BN_set_word(x, data->cofactor))
+ {
+ ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB);
+ goto err;
+ }
+ if (!EC_GROUP_set_generator(group, P, order, x))
+ {
+ ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
+ goto err;
+ }
+ if (data->seed)
+ {
+ if (!EC_GROUP_set_seed(group, data->seed, data->seed_len))
+ {
+ ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
+ 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);
+ if (P)
+ EC_POINT_free(P);
+ if (ctx)
+ BN_CTX_free(ctx);
+ if (p)
+ BN_free(p);
+ 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 *EC_GROUP_new_by_nid(int nid)
{
+ size_t i;
EC_GROUP *ret = NULL;
- switch (name)
- {
- case EC_GROUP_NO_CURVE:
+
+ if (nid <= 0)
return NULL;
- /* some nist curves */
- case EC_GROUP_NIST_PRIME_224: /* EC_GROUP_NIST_PRIME_224 == EC_GROUP_SECG_PRIME_224R1 */
- ret = ec_group_new_GFp_from_hex(_EC_GROUP_NIST_PRIME_224);
- break;
-
- case EC_GROUP_NIST_PRIME_384: /* EC_GROUP_NIST_PRIME_384 == EC_GROUP_SECG_PRIME_384R1 */
- ret = ec_group_new_GFp_from_hex(_EC_GROUP_NIST_PRIME_384);
- break;
-
- case EC_GROUP_NIST_PRIME_521: /* EC_GROUP_NIST_PRIME_521 == EC_GROUP_SECG_PRIME_521R1 */
- ret = ec_group_new_GFp_from_hex(_EC_GROUP_NIST_PRIME_521);
- break;
- /* x9.62 prime curves */
- 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;
-
- 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;
-
- case EC_GROUP_X9_62_PRIME_256V1: /* == EC_GROUP_NIST_PRIME_256 == EC_GROUP_SECG_PRIME_256R1 */
- ret = ec_group_new_GFp_from_hex(_EC_GROUP_X9_62_PRIME_256V1);
- break;
- /* the remaining secg curves */
- case EC_GROUP_SECG_PRIME_112R1:
- 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_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;
- 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:
- ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_160R2);
- break;
- case EC_GROUP_SECG_PRIME_192K1:
- ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_192K1);
- break;
- case EC_GROUP_SECG_PRIME_224K1:
- ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_224K1);
- break;
- case EC_GROUP_SECG_PRIME_256K1:
- ret = ec_group_new_GFp_from_hex(_EC_GROUP_SECG_PRIME_256K1);
- break;
- /* some wap/wtls curves */
- case EC_GROUP_WTLS_6:
- ret = ec_group_new_GFp_from_hex(_EC_GROUP_WTLS_6);
- break;
- case EC_GROUP_WTLS_8:
- ret = ec_group_new_GFp_from_hex(_EC_GROUP_WTLS_8);
- break;
- case EC_GROUP_WTLS_9:
- ret = ec_group_new_GFp_from_hex(_EC_GROUP_WTLS_9);
- break;
- }
+ for (i=0; i<curve_list_length; i++)
+ if (curve_list[i].nid == nid)
+ {
+ ret = ec_group_new_from_data(curve_list[i].data);
+ break;
+ }
+
if (ret == NULL)
{
- ECerr(EC_F_EC_GROUP_NEW_BY_NAME, EC_R_UNKNOWN_GROUP);
+ ECerr(EC_F_EC_GROUP_NEW_BY_NID, EC_R_UNKNOWN_GROUP);
return NULL;
}
- EC_GROUP_set_nid(ret, name);
+
+ EC_GROUP_set_nid(ret, nid);
+
return ret;
}
-
-EC_GROUP *EC_GROUP_new_by_nid(int nid)
+size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems)
{
- return EC_GROUP_new_by_name(nid);
+ size_t i, min;
+
+ if (r == NULL || nitems == 0)
+ return curve_list_length;
+
+ min = nitems < curve_list_length ? nitems : curve_list_length;
+
+ for (i = 0; i < min; i++)
+ {
+ r[i].nid = curve_list[i].nid;
+ r[i].comment = curve_list[i].data->comment;
+ }
+
+ return curve_list_length;
}
projects / openssl.git / blobdiff