1335 lines
51 KiB
C
1335 lines
51 KiB
C
/* crypto/ec/ec_curve.c */
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/*
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* Written by Nils Larsch for the OpenSSL project.
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*/
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/* ====================================================================
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* Copyright (c) 1998-2004 The OpenSSL Project. All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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*
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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*
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in
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* the documentation and/or other materials provided with the
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* distribution.
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*
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* 3. All advertising materials mentioning features or use of this
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* software must display the following acknowledgment:
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* "This product includes software developed by the OpenSSL Project
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* for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
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*
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* 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
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* endorse or promote products derived from this software without
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* prior written permission. For written permission, please contact
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* openssl-core@openssl.org.
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*
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* 5. Products derived from this software may not be called "OpenSSL"
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* nor may "OpenSSL" appear in their names without prior written
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* permission of the OpenSSL Project.
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*
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* 6. Redistributions of any form whatsoever must retain the following
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* acknowledgment:
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* "This product includes software developed by the OpenSSL Project
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* for use in the OpenSSL Toolkit (http://www.openssl.org/)"
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*
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* THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
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* EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
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* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
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* ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
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* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
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* STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
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* OF THE POSSIBILITY OF SUCH DAMAGE.
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* ====================================================================
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*
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* This product includes cryptographic software written by Eric Young
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* (eay@cryptsoft.com). This product includes software written by Tim
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* Hudson (tjh@cryptsoft.com).
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*
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*/
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/* ====================================================================
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* Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
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*
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* Portions of the attached software ("Contribution") are developed by
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* SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
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*
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* The Contribution is licensed pursuant to the OpenSSL open source
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* license provided above.
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*
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* The elliptic curve binary polynomial software is originally written by
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* Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
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*
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*/
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#include "ec_lcl.h"
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#include <openssl/err.h>
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#include <openssl/obj_mac.h>
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typedef struct ec_curve_data_st {
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int field_type; /* either NID_X9_62_prime_field or
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* NID_X9_62_characteristic_two_field */
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const char *p; /* either a prime number or a polynomial */
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const char *a;
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const char *b;
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const char *x; /* the x coordinate of the generator */
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const char *y; /* the y coordinate of the generator */
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const char *order; /* the order of the group generated by the
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* generator */
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const BN_ULONG cofactor; /* the cofactor */
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const unsigned char *seed; /* the seed (optional) */
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size_t seed_len;
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const char *comment; /* a short description of the curve */
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} EC_CURVE_DATA;
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/* the nist prime curves */
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static const unsigned char _EC_NIST_PRIME_192_SEED[] = {
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0x30, 0x45, 0xAE, 0x6F, 0xC8, 0x42, 0x2F, 0x64, 0xED, 0x57,
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0x95, 0x28, 0xD3, 0x81, 0x20, 0xEA, 0xE1, 0x21, 0x96, 0xD5
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};
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static const EC_CURVE_DATA _EC_NIST_PRIME_192 = {
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NID_X9_62_prime_field,
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"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
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"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
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"64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1",
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"188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012",
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"07192b95ffc8da78631011ed6b24cdd573f977a11e794811",
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"FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831", 1,
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_EC_NIST_PRIME_192_SEED, 20,
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"NIST/X9.62/SECG curve over a 192 bit prime field"
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};
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static const unsigned char _EC_NIST_PRIME_224_SEED[] = {
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0xBD, 0x71, 0x34, 0x47, 0x99, 0xD5, 0xC7, 0xFC, 0xDC, 0x45,
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0xB5, 0x9F, 0xA3, 0xB9, 0xAB, 0x8F, 0x6A, 0x94, 0x8B, 0xC5
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};
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static const EC_CURVE_DATA _EC_NIST_PRIME_224 = {
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NID_X9_62_prime_field,
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"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
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"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
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"B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
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"B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",
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"bd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34",
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"FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", 1,
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_EC_NIST_PRIME_224_SEED, 20,
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"NIST/SECG curve over a 224 bit prime field"
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};
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static const unsigned char _EC_NIST_PRIME_384_SEED[] = {
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0xA3, 0x35, 0x92, 0x6A, 0xA3, 0x19, 0xA2, 0x7A, 0x1D, 0x00,
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0x89, 0x6A, 0x67, 0x73, 0xA4, 0x82, 0x7A, 0xCD, 0xAC, 0x73
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};
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static const EC_CURVE_DATA _EC_NIST_PRIME_384 = {
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NID_X9_62_prime_field,
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"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFF"
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"FFF0000000000000000FFFFFFFF",
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"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFF"
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"FFF0000000000000000FFFFFFFC",
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"B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC6563"
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"98D8A2ED19D2A85C8EDD3EC2AEF",
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"AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F"
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"25DBF55296C3A545E3872760AB7",
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"3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b"
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"1ce1d7e819d7a431d7c90ea0e5f",
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"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0"
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"DB248B0A77AECEC196ACCC52973", 1,
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_EC_NIST_PRIME_384_SEED, 20,
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"NIST/SECG curve over a 384 bit prime field"
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};
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static const unsigned char _EC_NIST_PRIME_521_SEED[] = {
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0xD0, 0x9E, 0x88, 0x00, 0x29, 0x1C, 0xB8, 0x53, 0x96, 0xCC,
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0x67, 0x17, 0x39, 0x32, 0x84, 0xAA, 0xA0, 0xDA, 0x64, 0xBA
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};
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static const EC_CURVE_DATA _EC_NIST_PRIME_521 = {
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NID_X9_62_prime_field,
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"1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
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"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
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"1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
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"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC",
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"051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156"
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"193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00",
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"C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14"
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"B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66",
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"011839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c9"
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"7ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650",
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"1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51"
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"868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409", 1,
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_EC_NIST_PRIME_521_SEED, 20,
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"NIST/SECG curve over a 521 bit prime field"
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};
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/* the x9.62 prime curves (minus the nist prime curves) */
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static const unsigned char _EC_X9_62_PRIME_192V2_SEED[] = {
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0x31, 0xA9, 0x2E, 0xE2, 0x02, 0x9F, 0xD1, 0x0D, 0x90, 0x1B,
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0x11, 0x3E, 0x99, 0x07, 0x10, 0xF0, 0xD2, 0x1A, 0xC6, 0xB6
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};
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static const EC_CURVE_DATA _EC_X9_62_PRIME_192V2 = {
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NID_X9_62_prime_field,
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"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
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"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
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"CC22D6DFB95C6B25E49C0D6364A4E5980C393AA21668D953",
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"EEA2BAE7E1497842F2DE7769CFE9C989C072AD696F48034A",
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"6574d11d69b6ec7a672bb82a083df2f2b0847de970b2de15",
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"FFFFFFFFFFFFFFFFFFFFFFFE5FB1A724DC80418648D8DD31", 1,
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_EC_X9_62_PRIME_192V2_SEED, 20,
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"X9.62 curve over a 192 bit prime field"
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};
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static const unsigned char _EC_X9_62_PRIME_192V3_SEED[] = {
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0xC4, 0x69, 0x68, 0x44, 0x35, 0xDE, 0xB3, 0x78, 0xC4, 0xB6,
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0x5C, 0xA9, 0x59, 0x1E, 0x2A, 0x57, 0x63, 0x05, 0x9A, 0x2E
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};
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static const EC_CURVE_DATA _EC_X9_62_PRIME_192V3 = {
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NID_X9_62_prime_field,
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"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
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"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
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"22123DC2395A05CAA7423DAECCC94760A7D462256BD56916",
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"7D29778100C65A1DA1783716588DCE2B8B4AEE8E228F1896",
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"38a90f22637337334b49dcb66a6dc8f9978aca7648a943b0",
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"FFFFFFFFFFFFFFFFFFFFFFFF7A62D031C83F4294F640EC13", 1,
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_EC_X9_62_PRIME_192V3_SEED, 20,
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"X9.62 curve over a 192 bit prime field"
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};
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static const unsigned char _EC_X9_62_PRIME_239V1_SEED[] = {
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0xE4, 0x3B, 0xB4, 0x60, 0xF0, 0xB8, 0x0C, 0xC0, 0xC0, 0xB0,
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0x75, 0x79, 0x8E, 0x94, 0x80, 0x60, 0xF8, 0x32, 0x1B, 0x7D
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};
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static const EC_CURVE_DATA _EC_X9_62_PRIME_239V1 = {
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NID_X9_62_prime_field,
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"7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",
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"7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",
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"6B016C3BDCF18941D0D654921475CA71A9DB2FB27D1D37796185C2942C0A",
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"0FFA963CDCA8816CCC33B8642BEDF905C3D358573D3F27FBBD3B3CB9AAAF",
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"7debe8e4e90a5dae6e4054ca530ba04654b36818ce226b39fccb7b02f1ae",
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"7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF9E5E9A9F5D9071FBD1522688909D0B", 1,
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_EC_X9_62_PRIME_239V1_SEED, 20,
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"X9.62 curve over a 239 bit prime field"
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};
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static const unsigned char _EC_X9_62_PRIME_239V2_SEED[] = {
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0xE8, 0xB4, 0x01, 0x16, 0x04, 0x09, 0x53, 0x03, 0xCA, 0x3B,
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0x80, 0x99, 0x98, 0x2B, 0xE0, 0x9F, 0xCB, 0x9A, 0xE6, 0x16
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};
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static const EC_CURVE_DATA _EC_X9_62_PRIME_239V2 = {
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NID_X9_62_prime_field,
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"7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",
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"7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",
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"617FAB6832576CBBFED50D99F0249C3FEE58B94BA0038C7AE84C8C832F2C",
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"38AF09D98727705120C921BB5E9E26296A3CDCF2F35757A0EAFD87B830E7",
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"5b0125e4dbea0ec7206da0fc01d9b081329fb555de6ef460237dff8be4ba",
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"7FFFFFFFFFFFFFFFFFFFFFFF800000CFA7E8594377D414C03821BC582063", 1,
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_EC_X9_62_PRIME_239V2_SEED, 20,
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"X9.62 curve over a 239 bit prime field"
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};
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static const unsigned char _EC_X9_62_PRIME_239V3_SEED[] = {
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0x7D, 0x73, 0x74, 0x16, 0x8F, 0xFE, 0x34, 0x71, 0xB6, 0x0A,
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0x85, 0x76, 0x86, 0xA1, 0x94, 0x75, 0xD3, 0xBF, 0xA2, 0xFF
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};
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static const EC_CURVE_DATA _EC_X9_62_PRIME_239V3 = {
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NID_X9_62_prime_field,
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"7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",
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"7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",
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"255705FA2A306654B1F4CB03D6A750A30C250102D4988717D9BA15AB6D3E",
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"6768AE8E18BB92CFCF005C949AA2C6D94853D0E660BBF854B1C9505FE95A",
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"1607e6898f390c06bc1d552bad226f3b6fcfe48b6e818499af18e3ed6cf3",
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"7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF975DEB41B3A6057C3C432146526551", 1,
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_EC_X9_62_PRIME_239V3_SEED, 20,
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"X9.62 curve over a 239 bit prime field"
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};
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static const unsigned char _EC_X9_62_PRIME_256V1_SEED[] = {
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0xC4, 0x9D, 0x36, 0x08, 0x86, 0xE7, 0x04, 0x93, 0x6A, 0x66,
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0x78, 0xE1, 0x13, 0x9D, 0x26, 0xB7, 0x81, 0x9F, 0x7E, 0x90
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};
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static const EC_CURVE_DATA _EC_X9_62_PRIME_256V1 = {
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NID_X9_62_prime_field,
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"FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF",
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"FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC",
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"5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B",
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"6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296",
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"4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5",
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"FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551", 1,
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_EC_X9_62_PRIME_256V1_SEED, 20,
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"X9.62/SECG curve over a 256 bit prime field"
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};
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/* the secg prime curves (minus the nist and x9.62 prime curves) */
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static const unsigned char _EC_SECG_PRIME_112R1_SEED[] = {
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0x00, 0xF5, 0x0B, 0x02, 0x8E, 0x4D, 0x69, 0x6E, 0x67, 0x68,
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0x75, 0x61, 0x51, 0x75, 0x29, 0x04, 0x72, 0x78, 0x3F, 0xB1
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};
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static const EC_CURVE_DATA _EC_SECG_PRIME_112R1 = {
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NID_X9_62_prime_field,
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"DB7C2ABF62E35E668076BEAD208B",
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"DB7C2ABF62E35E668076BEAD2088",
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"659EF8BA043916EEDE8911702B22",
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"09487239995A5EE76B55F9C2F098",
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"a89ce5af8724c0a23e0e0ff77500",
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"DB7C2ABF62E35E7628DFAC6561C5", 1,
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_EC_SECG_PRIME_112R1_SEED, 20,
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"SECG/WTLS curve over a 112 bit prime field"
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};
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static const unsigned char _EC_SECG_PRIME_112R2_SEED[] = {
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0x00, 0x27, 0x57, 0xA1, 0x11, 0x4D, 0x69, 0x6E, 0x67, 0x68,
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0x75, 0x61, 0x51, 0x75, 0x53, 0x16, 0xC0, 0x5E, 0x0B, 0xD4
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};
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static const EC_CURVE_DATA _EC_SECG_PRIME_112R2 = {
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NID_X9_62_prime_field,
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"DB7C2ABF62E35E668076BEAD208B",
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"6127C24C05F38A0AAAF65C0EF02C",
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"51DEF1815DB5ED74FCC34C85D709",
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"4BA30AB5E892B4E1649DD0928643",
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"adcd46f5882e3747def36e956e97",
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"36DF0AAFD8B8D7597CA10520D04B", 4,
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_EC_SECG_PRIME_112R2_SEED, 20,
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"SECG curve over a 112 bit prime field"
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};
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static const unsigned char _EC_SECG_PRIME_128R1_SEED[] = {
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0x00, 0x0E, 0x0D, 0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75, 0x61,
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0x51, 0x75, 0x0C, 0xC0, 0x3A, 0x44, 0x73, 0xD0, 0x36, 0x79
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};
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static const EC_CURVE_DATA _EC_SECG_PRIME_128R1 = {
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NID_X9_62_prime_field,
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"FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
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"FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC",
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"E87579C11079F43DD824993C2CEE5ED3",
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"161FF7528B899B2D0C28607CA52C5B86",
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"cf5ac8395bafeb13c02da292dded7a83",
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"FFFFFFFE0000000075A30D1B9038A115", 1,
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_EC_SECG_PRIME_128R1_SEED, 20,
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"SECG curve over a 128 bit prime field"
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};
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static const unsigned char _EC_SECG_PRIME_128R2_SEED[] = {
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0x00, 0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75, 0x61, 0x51, 0x75,
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0x12, 0xD8, 0xF0, 0x34, 0x31, 0xFC, 0xE6, 0x3B, 0x88, 0xF4
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};
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static const EC_CURVE_DATA _EC_SECG_PRIME_128R2 = {
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NID_X9_62_prime_field,
|
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"FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
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"D6031998D1B3BBFEBF59CC9BBFF9AEE1",
|
|
"5EEEFCA380D02919DC2C6558BB6D8A5D",
|
|
"7B6AA5D85E572983E6FB32A7CDEBC140",
|
|
"27b6916a894d3aee7106fe805fc34b44",
|
|
"3FFFFFFF7FFFFFFFBE0024720613B5A3", 4,
|
|
_EC_SECG_PRIME_128R2_SEED, 20,
|
|
"SECG 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 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 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 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 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 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 curve over a 256 bit prime field"
|
|
};
|
|
|
|
/* some wap/wtls curves */
|
|
static const EC_CURVE_DATA _EC_WTLS_8 = {
|
|
NID_X9_62_prime_field,
|
|
"FFFFFFFFFFFFFFFFFFFFFFFFFDE7",
|
|
"0",
|
|
"3",
|
|
"1",
|
|
"2",
|
|
"0100000000000001ECEA551AD837E9", 1,
|
|
NULL, 20,
|
|
"WTLS curve over a 112 bit prime field"
|
|
};
|
|
|
|
static const EC_CURVE_DATA _EC_WTLS_9 = {
|
|
NID_X9_62_prime_field,
|
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC808F",
|
|
"0",
|
|
"3",
|
|
"1",
|
|
"2",
|
|
"0100000000000000000001CDC98AE0E2DE574ABF33", 1,
|
|
NULL, 20,
|
|
"WTLS curve over a 160 bit prime field"
|
|
};
|
|
|
|
static const EC_CURVE_DATA _EC_WTLS_12 = {
|
|
NID_X9_62_prime_field,
|
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
|
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
|
|
"B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
|
|
"B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",
|
|
"bd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34",
|
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", 1,
|
|
NULL, 0,
|
|
"WTLS curvs over a 224 bit prime field"
|
|
};
|
|
|
|
/* 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 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 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 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 curve over a 131 bit binary field"
|
|
};
|
|
|
|
static const EC_CURVE_DATA _EC_NIST_CHAR2_163K = {
|
|
NID_X9_62_characteristic_two_field,
|
|
"0800000000000000000000000000000000000000C9",
|
|
"1",
|
|
"1",
|
|
"02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
|
|
"0289070FB05D38FF58321F2E800536D538CCDAA3D9",
|
|
"04000000000000000000020108A2E0CC0D99F8A5EF", 2,
|
|
NULL, 0,
|
|
"NIST/SECG/WTLS 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,
|
|
/*
|
|
* The algorithm used to derive the curve parameters from the seed used
|
|
* here is slightly different than the algorithm described in X9.62 .
|
|
*/
|
|
#if 0
|
|
_EC_SECG_CHAR2_163R1_SEED, 20,
|
|
#else
|
|
NULL, 0,
|
|
#endif
|
|
"SECG curve over a 163 bit binary field"
|
|
};
|
|
|
|
static const unsigned char _EC_NIST_CHAR2_163B_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_NIST_CHAR2_163B = {
|
|
NID_X9_62_characteristic_two_field,
|
|
"0800000000000000000000000000000000000000C9",
|
|
"1",
|
|
"020A601907B8C953CA1481EB10512F78744A3205FD",
|
|
"03F0EBA16286A2D57EA0991168D4994637E8343E36",
|
|
"00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
|
|
"040000000000000000000292FE77E70C12A4234C33", 2,
|
|
/*
|
|
* The seed here was used to created the curve parameters in normal basis
|
|
* representation (and not the polynomial representation used here)
|
|
*/
|
|
#if 0
|
|
_EC_NIST_CHAR2_163B_SEED, 20,
|
|
#else
|
|
NULL, 0,
|
|
#endif
|
|
"NIST/SECG 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 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 curve over a 193 bit binary field"
|
|
};
|
|
|
|
static const EC_CURVE_DATA _EC_NIST_CHAR2_233K = {
|
|
NID_X9_62_characteristic_two_field,
|
|
"020000000000000000000000000000000000000004000000000000000001",
|
|
"0",
|
|
"1",
|
|
"017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
|
|
"01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
|
|
"008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF", 4,
|
|
NULL, 0,
|
|
"NIST/SECG/WTLS curve over a 233 bit binary field"
|
|
};
|
|
|
|
static const unsigned char _EC_NIST_CHAR2_233B_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_NIST_CHAR2_233B = {
|
|
NID_X9_62_characteristic_two_field,
|
|
"020000000000000000000000000000000000000004000000000000000001",
|
|
"000000000000000000000000000000000000000000000000000000000001",
|
|
"0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
|
|
"00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
|
|
"01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
|
|
"01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7", 2,
|
|
_EC_NIST_CHAR2_233B_SEED, 20,
|
|
"NIST/SECG/WTLS 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 curve over a 239 bit binary field"
|
|
};
|
|
|
|
static const EC_CURVE_DATA _EC_NIST_CHAR2_283K = {
|
|
NID_X9_62_characteristic_two_field,
|
|
"080000000000000000000000000000000000000000000000000000000000000000001"
|
|
"0A1",
|
|
"0",
|
|
"1",
|
|
"0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492"
|
|
"836",
|
|
"01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2"
|
|
"259",
|
|
"01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163"
|
|
"C61", 4,
|
|
NULL, 20,
|
|
"NIST/SECG curve over a 283 bit binary field"
|
|
};
|
|
|
|
static const unsigned char _EC_NIST_CHAR2_283B_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_NIST_CHAR2_283B = {
|
|
NID_X9_62_characteristic_two_field,
|
|
"080000000000000000000000000000000000000000000000000000000000000000001"
|
|
"0A1",
|
|
"000000000000000000000000000000000000000000000000000000000000000000000"
|
|
"001",
|
|
"027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A"
|
|
"2F5",
|
|
"05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12"
|
|
"053",
|
|
"03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE811"
|
|
"2F4",
|
|
"03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB"
|
|
"307", 2,
|
|
_EC_NIST_CHAR2_283B_SEED, 20,
|
|
"NIST/SECG curve over a 283 bit binary field"
|
|
};
|
|
|
|
static const EC_CURVE_DATA _EC_NIST_CHAR2_409K = {
|
|
NID_X9_62_characteristic_two_field,
|
|
"020000000000000000000000000000000000000000000000000000000000000000000"
|
|
"00000000000008000000000000000000001",
|
|
"0",
|
|
"1",
|
|
"0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C4601"
|
|
"89EB5AAAA62EE222EB1B35540CFE9023746",
|
|
"01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6"
|
|
"C42E9C55215AA9CA27A5863EC48D8E0286B",
|
|
"007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400"
|
|
"EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF", 4,
|
|
NULL, 0,
|
|
"NIST/SECG curve over a 409 bit binary field"
|
|
};
|
|
|
|
static const unsigned char _EC_NIST_CHAR2_409B_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_NIST_CHAR2_409B = {
|
|
NID_X9_62_characteristic_two_field,
|
|
"020000000000000000000000000000000000000000000000000000000000000000000"
|
|
"00000000000008000000000000000000001",
|
|
"000000000000000000000000000000000000000000000000000000000000000000000"
|
|
"00000000000000000000000000000000001",
|
|
"0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A19"
|
|
"7B272822F6CD57A55AA4F50AE317B13545F",
|
|
"015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255"
|
|
"A868A1180515603AEAB60794E54BB7996A7",
|
|
"0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514"
|
|
"F1FDF4B4F40D2181B3681C364BA0273C706",
|
|
"010000000000000000000000000000000000000000000000000001E2AAD6A612F3330"
|
|
"7BE5FA47C3C9E052F838164CD37D9A21173", 2,
|
|
_EC_NIST_CHAR2_409B_SEED, 20,
|
|
"NIST/SECG curve over a 409 bit binary field"
|
|
};
|
|
|
|
static const EC_CURVE_DATA _EC_NIST_CHAR2_571K = {
|
|
NID_X9_62_characteristic_two_field,
|
|
"800000000000000000000000000000000000000000000000000000000000000000000"
|
|
"000000000000000000000000000000000000000000000000000000000000000000000"
|
|
"00425",
|
|
"0",
|
|
"1",
|
|
"026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA443709"
|
|
"58493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A0"
|
|
"1C8972",
|
|
"0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D497"
|
|
"9C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143E"
|
|
"F1C7A3",
|
|
"020000000000000000000000000000000000000000000000000000000000000000000"
|
|
"000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F63"
|
|
"7C1001", 4,
|
|
NULL, 0,
|
|
"NIST/SECG curve over a 571 bit binary field"
|
|
};
|
|
|
|
static const unsigned char _EC_NIST_CHAR2_571B_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_NIST_CHAR2_571B = {
|
|
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_NIST_CHAR2_571B_SEED, 20,
|
|
"NIST/SECG 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,
|
|
"X9.62 curve over a 163 bit binary field"
|
|
};
|
|
|
|
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,
|
|
"X9.62 curve over a 163 bit binary field"
|
|
};
|
|
|
|
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,
|
|
"X9.62 curve over a 163 bit binary field"
|
|
};
|
|
|
|
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,
|
|
"X9.62 curve over a 176 bit binary field"
|
|
};
|
|
|
|
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,
|
|
"X9.62 curve over a 191 bit binary field"
|
|
};
|
|
|
|
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,
|
|
"X9.62 curve over a 191 bit binary field"
|
|
};
|
|
|
|
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,
|
|
"X9.62 curve over a 191 bit binary field"
|
|
};
|
|
|
|
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,
|
|
"X9.62 curve over a 208 bit binary field"
|
|
};
|
|
|
|
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,
|
|
"X9.62 curve over a 239 bit binary field"
|
|
};
|
|
|
|
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,
|
|
"X9.62 curve over a 239 bit binary field"
|
|
};
|
|
|
|
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,
|
|
"X9.62 curve over a 239 bit binary field"
|
|
};
|
|
|
|
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,
|
|
"X9.62 curve over a 272 bit binary field"
|
|
};
|
|
|
|
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,
|
|
"X9.62 curve over a 304 bit binary field"
|
|
};
|
|
|
|
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,
|
|
"X9.62 curve over a 359 bit binary field"
|
|
};
|
|
|
|
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,
|
|
"X9.62 curve over a 368 bit binary field"
|
|
};
|
|
|
|
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,
|
|
"X9.62 curve over a 431 bit binary field"
|
|
};
|
|
|
|
static const EC_CURVE_DATA _EC_WTLS_1 = {
|
|
NID_X9_62_characteristic_two_field,
|
|
"020000000000000000000000000201",
|
|
"1",
|
|
"1",
|
|
"01667979A40BA497E5D5C270780617",
|
|
"00F44B4AF1ECC2630E08785CEBCC15",
|
|
"00FFFFFFFFFFFFFFFDBF91AF6DEA73", 2,
|
|
NULL, 0,
|
|
"WTLS curve over a 113 bit binary field"
|
|
};
|
|
|
|
/* IPSec curves */
|
|
/*
|
|
* NOTE: The of curves over a extension field of non prime degree is not
|
|
* recommended (Weil-descent). As the group order is not a prime this curve
|
|
* is not suitable for ECDSA.
|
|
*/
|
|
static const EC_CURVE_DATA _EC_IPSEC_155_ID3 = {
|
|
NID_X9_62_characteristic_two_field,
|
|
"0800000000000000000000004000000000000001",
|
|
"0",
|
|
"07338f",
|
|
"7b",
|
|
"1c8",
|
|
"2AAAAAAAAAAAAAAAAAAC7F3C7881BD0868FA86C", 3,
|
|
NULL, 0,
|
|
"\n\tIPSec/IKE/Oakley curve #3 over a 155 bit binary field.\n"
|
|
"\tNot suitable for ECDSA.\n\tQuestionable extension field!"
|
|
};
|
|
|
|
/*
|
|
* NOTE: The of curves over a extension field of non prime degree is not
|
|
* recommended (Weil-descent). As the group order is not a prime this curve
|
|
* is not suitable for ECDSA.
|
|
*/
|
|
static const EC_CURVE_DATA _EC_IPSEC_185_ID4 = {
|
|
NID_X9_62_characteristic_two_field,
|
|
"020000000000000000000000000000200000000000000001",
|
|
"0",
|
|
"1ee9",
|
|
"18",
|
|
"0d",
|
|
"FFFFFFFFFFFFFFFFFFFFFFEDF97C44DB9F2420BAFCA75E", 2,
|
|
NULL, 0,
|
|
"\n\tIPSec/IKE/Oakley curve #4 over a 185 bit binary field.\n"
|
|
"\tNot suitable for ECDSA.\n\tQuestionable extension field!"
|
|
};
|
|
|
|
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 */
|
|
/* NIST/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_NIST_CHAR2_163K},
|
|
{NID_sect163r1, &_EC_SECG_CHAR2_163R1},
|
|
{NID_sect163r2, &_EC_NIST_CHAR2_163B},
|
|
{NID_sect193r1, &_EC_SECG_CHAR2_193R1},
|
|
{NID_sect193r2, &_EC_SECG_CHAR2_193R2},
|
|
{NID_sect233k1, &_EC_NIST_CHAR2_233K},
|
|
{NID_sect233r1, &_EC_NIST_CHAR2_233B},
|
|
{NID_sect239k1, &_EC_SECG_CHAR2_239K1},
|
|
{NID_sect283k1, &_EC_NIST_CHAR2_283K},
|
|
{NID_sect283r1, &_EC_NIST_CHAR2_283B},
|
|
{NID_sect409k1, &_EC_NIST_CHAR2_409K},
|
|
{NID_sect409r1, &_EC_NIST_CHAR2_409B},
|
|
{NID_sect571k1, &_EC_NIST_CHAR2_571K},
|
|
{NID_sect571r1, &_EC_NIST_CHAR2_571B},
|
|
/* 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 [unlike SECG, spec has its own OIDs for curves
|
|
* from X9.62]
|
|
*/
|
|
{NID_wap_wsg_idm_ecid_wtls1, &_EC_WTLS_1},
|
|
{NID_wap_wsg_idm_ecid_wtls3, &_EC_NIST_CHAR2_163K},
|
|
{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_NIST_CHAR2_233K},
|
|
{NID_wap_wsg_idm_ecid_wtls11, &_EC_NIST_CHAR2_233B},
|
|
{NID_wap_wsg_idm_ecid_wtls12, &_EC_WTLS_12},
|
|
/* IPSec curves */
|
|
{NID_ipsec3, &_EC_IPSEC_155_ID3},
|
|
{NID_ipsec4, &_EC_IPSEC_185_ID4},
|
|
};
|
|
|
|
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 *p = NULL, *a = NULL, *b = NULL, *x = NULL, *y = NULL, *order =
|
|
NULL;
|
|
int ok = 0;
|
|
|
|
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(&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 (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, 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;
|
|
err:
|
|
if (!ok) {
|
|
EC_GROUP_free(group);
|
|
group = NULL;
|
|
}
|
|
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_curve_name(int nid)
|
|
{
|
|
size_t i;
|
|
EC_GROUP *ret = NULL;
|
|
|
|
if (nid <= 0)
|
|
return NULL;
|
|
|
|
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_CURVE_NAME, EC_R_UNKNOWN_GROUP);
|
|
return NULL;
|
|
}
|
|
|
|
EC_GROUP_set_curve_name(ret, nid);
|
|
|
|
return ret;
|
|
}
|
|
|
|
size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems)
|
|
{
|
|
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;
|
|
}
|