openssl/crypto/bn/bn_const.c

/*
 * Copyright 2005-2020 The OpenSSL Project Authors. All Rights Reserved.
 *
 * Licensed under the Apache License 2.0 (the "License").  You may not use
 * this file except in compliance with the License.  You can obtain a copy
 * in the file LICENSE in the source distribution or at
 * https://www.openssl.org/source/license.html
 */

#include <openssl/bn.h>
#include "crypto/bn_dh.h"

#define COPY_BN(dst, src) (dst != NULL) ? BN_copy(dst, &src) : BN_dup(&src)


/*-
 * "First Oakley Default Group" from RFC2409, section 6.1.
 *
 * The prime is: 2^768 - 2 ^704 - 1 + 2^64 * { [2^638 pi] + 149686 }
 *
 * RFC2409 specifies a generator of 2.
 * RFC2412 specifies a generator of of 22.
 */

BIGNUM *BN_get_rfc2409_prime_768(BIGNUM *bn)
{
    static const unsigned char RFC2409_PRIME_768[] = {
        0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
        0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
        0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
        0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
        0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
        0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
        0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
        0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
        0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
        0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
        0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x3A, 0x36, 0x20,
        0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    };
    return BN_bin2bn(RFC2409_PRIME_768, sizeof(RFC2409_PRIME_768), bn);
}

/*-
 * "Second Oakley Default Group" from RFC2409, section 6.2.
 *
 * The prime is: 2^1024 - 2^960 - 1 + 2^64 * { [2^894 pi] + 129093 }.
 *
 * RFC2409 specifies a generator of 2.
 * RFC2412 specifies a generator of 22.
 */

BIGNUM *BN_get_rfc2409_prime_1024(BIGNUM *bn)
{
    static const unsigned char RFC2409_PRIME_1024[] = {
        0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
        0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
        0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
        0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
        0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
        0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
        0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
        0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
        0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
        0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
        0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
        0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
        0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
        0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
        0x49, 0x28, 0x66, 0x51, 0xEC, 0xE6, 0x53, 0x81,
        0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    };
    return BN_bin2bn(RFC2409_PRIME_1024, sizeof(RFC2409_PRIME_1024), bn);
}

/*-
 * "1536-bit MODP Group" from RFC3526, Section 2.
 *
 * The prime is: 2^1536 - 2^1472 - 1 + 2^64 * { [2^1406 pi] + 741804 }
 *
 * RFC3526 specifies a generator of 2.
 * RFC2312 specifies a generator of 22.
 */

BIGNUM *BN_get_rfc3526_prime_1536(BIGNUM *bn)
{
    return COPY_BN(bn, _bignum_modp_1536_p);
}

/*-
 * "2048-bit MODP Group" from RFC3526, Section 3.
 *
 * The prime is: 2^2048 - 2^1984 - 1 + 2^64 * { [2^1918 pi] + 124476 }
 *
 * RFC3526 specifies a generator of 2.
 */

BIGNUM *BN_get_rfc3526_prime_2048(BIGNUM *bn)
{
    return COPY_BN(bn, _bignum_modp_2048_p);
}

/*-
 * "3072-bit MODP Group" from RFC3526, Section 4.
 *
 * The prime is: 2^3072 - 2^3008 - 1 + 2^64 * { [2^2942 pi] + 1690314 }
 *
 * RFC3526 specifies a generator of 2.
 */

BIGNUM *BN_get_rfc3526_prime_3072(BIGNUM *bn)
{
    return COPY_BN(bn, _bignum_modp_3072_p);
}

/*-
 * "4096-bit MODP Group" from RFC3526, Section 5.
 *
 * The prime is: 2^4096 - 2^4032 - 1 + 2^64 * { [2^3966 pi] + 240904 }
 *
 * RFC3526 specifies a generator of 2.
 */

BIGNUM *BN_get_rfc3526_prime_4096(BIGNUM *bn)
{
    return COPY_BN(bn, _bignum_modp_4096_p);
}

/*-
 * "6144-bit MODP Group" from RFC3526, Section 6.
 *
 * The prime is: 2^6144 - 2^6080 - 1 + 2^64 * { [2^6014 pi] + 929484 }
 *
 * RFC3526 specifies a generator of 2.
 */

BIGNUM *BN_get_rfc3526_prime_6144(BIGNUM *bn)
{
    return COPY_BN(bn, _bignum_modp_6144_p);
}

/*-
 * "8192-bit MODP Group" from RFC3526, Section 7.
 *
 * The prime is: 2^8192 - 2^8128 - 1 + 2^64 * { [2^8062 pi] + 4743158 }
 *
 * RFC3526 specifies a generator of 2.
 */

BIGNUM *BN_get_rfc3526_prime_8192(BIGNUM *bn)
{
    return COPY_BN(bn, _bignum_modp_8192_p);
}