BN_MOD_MUL_MONTGOMERY - Online Linux Manual PageSection : 3
Updated : 2021-03-26
Source : 1.1.1k
Note : OpenSSL
NAMEBN_mod_mul_montgomery, BN_MONT_CTX_new, BN_MONT_CTX_free, BN_MONT_CTX_set, BN_MONT_CTX_copy, BN_from_montgomery, BN_to_montgomery − Montgomery multiplication
SYNOPSIS​ #include <openssl/bn.h> ​ ​ BN_MONT_CTX *BN_MONT_CTX_new(void); ​ void BN_MONT_CTX_free(BN_MONT_CTX *mont); ​ ​ int BN_MONT_CTX_set(BN_MONT_CTX *mont, const BIGNUM *m, BN_CTX *ctx); ​ BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to, BN_MONT_CTX *from); ​ ​ int BN_mod_mul_montgomery(BIGNUM *r, BIGNUM *a, BIGNUM *b, ​ BN_MONT_CTX *mont, BN_CTX *ctx); ​ ​ int BN_from_montgomery(BIGNUM *r, BIGNUM *a, BN_MONT_CTX *mont, ​ BN_CTX *ctx); ​ ​ int BN_to_montgomery(BIGNUM *r, BIGNUM *a, BN_MONT_CTX *mont, ​ BN_CTX *ctx);
DESCRIPTIONThese functions implement Montgomery multiplication. They are used automatically when BN_mod_exp (3) is called with suitable input, but they may be useful when several operations are to be performed using the same modulus. ​BN_MONT_CTX_new() allocates and initializes a BN_MONT_CTX structure. ​BN_MONT_CTX_set() sets up the mont structure from the modulus m by precomputing its inverse and a value R. ​BN_MONT_CTX_copy() copies the BN_MONT_CTX from to to. ​BN_MONT_CTX_free() frees the components of the BN_MONT_CTX, and, if it was created by BN_MONT_CTX_new(), also the structure itself. If mont is NULL, nothing is done. ​BN_mod_mul_montgomery() computes Mont(a,b):=a*b*R^−1 and places the result in r. ​BN_from_montgomery() performs the Montgomery reduction r = a*R^−1. ​BN_to_montgomery() computes Mont(a,R^2), i.e. a*R. Note that a must be nonnegative and smaller than the modulus. For all functions, ctx is a previously allocated BN_CTX used for temporary variables.
RETURN VALUES​BN_MONT_CTX_new() returns the newly allocated BN_MONT_CTX, and NULL on error. ​BN_MONT_CTX_free() has no return value. For the other functions, 1 is returned for success, 0 on error. The error codes can be obtained by ERR_get_error (3).
WARNINGSThe inputs must be reduced modulo m, otherwise the result will be outside the expected range.
SEE ALSO​ERR_get_error (3), BN_add (3), ​BN_CTX_new (3)
HISTORY​BN_MONT_CTX_init() was removed in OpenSSL 1.1.0
COPYRIGHTCopyright 2000−2020 The OpenSSL Project Authors. All Rights Reserved. Licensed under the OpenSSL license (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>. 0
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