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<?xml version="1.0" ?> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> <html xmlns="http://www.w3.org/1999/xhtml"> <head> <title>BN_mod_mul_montgomery</title> <meta http-equiv="content-type" content="text/html; charset=utf-8" /> <link rev="made" href="mailto:root@localhost" /> </head> <body> <ul id="index"> <li><a href="#NAME">NAME</a></li> <li><a href="#SYNOPSIS">SYNOPSIS</a></li> <li><a href="#DESCRIPTION">DESCRIPTION</a></li> <li><a href="#RETURN-VALUES">RETURN VALUES</a></li> <li><a href="#WARNINGS">WARNINGS</a></li> <li><a href="#SEE-ALSO">SEE ALSO</a></li> <li><a href="#HISTORY">HISTORY</a></li> <li><a href="#COPYRIGHT">COPYRIGHT</a></li> </ul> <h1 id="NAME">NAME</h1> BN_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 <h1 id="SYNOPSIS">SYNOPSIS</h1> <pre><code> #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);</code></pre> <h1 id="DESCRIPTION">DESCRIPTION</h1> These functions implement Montgomery multiplication. They are used automatically when <a href="../man3/BN_mod_exp.html">BN_mod_exp(3)</a> 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. <h1 id="RETURN-VALUES">RETURN VALUES</h1> 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 <a href="../man3/ERR_get_error.html">ERR_get_error(3)</a>. <h1 id="WARNINGS">WARNINGS</h1> The inputs must be reduced modulo m, otherwise the result will be outside the expected range. <h1 id="SEE-ALSO">SEE ALSO</h1> <a href="../man3/ERR_get_error.html">ERR_get_error(3)</a>, <a href="../man3/BN_add.html">BN_add(3)</a>, <a href="../man3/BN_CTX_new.html">BN_CTX_new(3)</a> <h1 id="HISTORY">HISTORY</h1> BN_MONT_CTX_init() was removed in OpenSSL 1.1.0 <h1 id="COPYRIGHT">COPYRIGHT</h1> Copyright 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 <a href="https://www.openssl.org/source/license.html">https://www.openssl.org/source/license.html</a>. </body> </html>