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<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="#SEE-ALSO">SEE ALSO</a></li>
<li><a href="#COPYRIGHT">COPYRIGHT</a></li>
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<h1 id="NAME">NAME</h1>
<p>EC_GFp_simple_method, EC_GFp_mont_method, EC_GFp_nist_method, EC_GFp_nistp224_method, EC_GFp_nistp256_method, EC_GFp_nistp521_method, EC_GF2m_simple_method, EC_METHOD_get_field_type - Functions for obtaining EC_METHOD objects</p>
<h1 id="SYNOPSIS">SYNOPSIS</h1>
<pre><code> #include <openssl/ec.h>
const EC_METHOD *EC_GFp_simple_method(void);
const EC_METHOD *EC_GFp_mont_method(void);
const EC_METHOD *EC_GFp_nist_method(void);
const EC_METHOD *EC_GFp_nistp224_method(void);
const EC_METHOD *EC_GFp_nistp256_method(void);
const EC_METHOD *EC_GFp_nistp521_method(void);
const EC_METHOD *EC_GF2m_simple_method(void);
int EC_METHOD_get_field_type(const EC_METHOD *meth);</code></pre>
<h1 id="DESCRIPTION">DESCRIPTION</h1>
<p>The Elliptic Curve library provides a number of different implementations through a single common interface. When constructing a curve using EC_GROUP_new (see <a href="../man3/EC_GROUP_new.html">EC_GROUP_new(3)</a>) an implementation method must be provided. The functions described here all return a const pointer to an <b>EC_METHOD</b> structure that can be passed to EC_GROUP_NEW. It is important that the correct implementation type for the form of curve selected is used.</p>
<p>For F2^m curves there is only one implementation choice, i.e. EC_GF2_simple_method.</p>
<p>For Fp curves the lowest common denominator implementation is the EC_GFp_simple_method implementation. All other implementations are based on this one. EC_GFp_mont_method builds on EC_GFp_simple_method but adds the use of montgomery multiplication (see <a href="../man3/BN_mod_mul_montgomery.html">BN_mod_mul_montgomery(3)</a>). EC_GFp_nist_method offers an implementation optimised for use with NIST recommended curves (NIST curves are available through EC_GROUP_new_by_curve_name as described in <a href="../man3/EC_GROUP_new.html">EC_GROUP_new(3)</a>).</p>
<p>The functions EC_GFp_nistp224_method, EC_GFp_nistp256_method and EC_GFp_nistp521_method offer 64 bit optimised implementations for the NIST P224, P256 and P521 curves respectively. Note, however, that these implementations are not available on all platforms.</p>
<p>EC_METHOD_get_field_type identifies what type of field the EC_METHOD structure supports, which will be either F2^m or Fp. If the field type is Fp then the value <b>NID_X9_62_prime_field</b> is returned. If the field type is F2^m then the value <b>NID_X9_62_characteristic_two_field</b> is returned. These values are defined in the obj_mac.h header file.</p>
<h1 id="RETURN-VALUES">RETURN VALUES</h1>
<p>All EC_GFp* functions and EC_GF2m_simple_method always return a const pointer to an EC_METHOD structure.</p>
<p>EC_METHOD_get_field_type returns an integer that identifies the type of field the EC_METHOD structure supports.</p>
<h1 id="SEE-ALSO">SEE ALSO</h1>
<p><a href="../man7/crypto.html">crypto(7)</a>, <a href="../man3/EC_GROUP_new.html">EC_GROUP_new(3)</a>, <a href="../man3/EC_GROUP_copy.html">EC_GROUP_copy(3)</a>, <a href="../man3/EC_POINT_new.html">EC_POINT_new(3)</a>, <a href="../man3/EC_POINT_add.html">EC_POINT_add(3)</a>, <a href="../man3/EC_KEY_new.html">EC_KEY_new(3)</a>, <a href="../man3/d2i_ECPKParameters.html">d2i_ECPKParameters(3)</a>, <a href="../man3/BN_mod_mul_montgomery.html">BN_mod_mul_montgomery(3)</a></p>
<h1 id="COPYRIGHT">COPYRIGHT</h1>
<p>Copyright 2013-2017 The OpenSSL Project Authors. All Rights Reserved.</p>
<p>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>.</p>
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