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+.\" ========================================================================
+.\"
+.IX Title "EC_GFP_SIMPLE_METHOD 3"
+.TH EC_GFP_SIMPLE_METHOD 3 "2019-09-10" "1.1.1d" "OpenSSL"
+.\" For nroff, turn off justification. Always turn off hyphenation; it makes
+.\" way too many mistakes in technical documents.
+.if n .ad l
+.nh
+.SH "NAME"
+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
+.SH "SYNOPSIS"
+.IX Header "SYNOPSIS"
+.Vb 1
+\& #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);
+.Ve
+.SH "DESCRIPTION"
+.IX Header "DESCRIPTION"
+The Elliptic Curve library provides a number of different implementations through a single common interface.
+When constructing a curve using EC_GROUP_new (see \fBEC_GROUP_new\fR\|(3)) an
+implementation method must be provided. The functions described here all return a const pointer to an
+\&\fB\s-1EC_METHOD\s0\fR structure that can be passed to \s-1EC_GROUP_NEW.\s0 It is important that the correct implementation
+type for the form of curve selected is used.
+.PP
+For F2^m curves there is only one implementation choice, i.e. EC_GF2_simple_method.
+.PP
+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 \fBBN_mod_mul_montgomery\fR\|(3)). EC_GFp_nist_method
+offers an implementation optimised for use with \s-1NIST\s0 recommended curves (\s-1NIST\s0 curves are available through
+EC_GROUP_new_by_curve_name as described in \fBEC_GROUP_new\fR\|(3)).
+.PP
+The functions EC_GFp_nistp224_method, EC_GFp_nistp256_method and EC_GFp_nistp521_method offer 64 bit
+optimised implementations for the \s-1NIST P224, P256\s0 and P521 curves respectively. Note, however, that these
+implementations are not available on all platforms.
+.PP
+EC_METHOD_get_field_type identifies what type of field the \s-1EC_METHOD\s0 structure supports, which will be either
+F2^m or Fp. If the field type is Fp then the value \fBNID_X9_62_prime_field\fR is returned. If the field type is
+F2^m then the value \fBNID_X9_62_characteristic_two_field\fR is returned. These values are defined in the
+obj_mac.h header file.
+.SH "RETURN VALUES"
+.IX Header "RETURN VALUES"
+All EC_GFp* functions and EC_GF2m_simple_method always return a const pointer to an \s-1EC_METHOD\s0 structure.
+.PP
+EC_METHOD_get_field_type returns an integer that identifies the type of field the \s-1EC_METHOD\s0 structure supports.
+.SH "SEE ALSO"
+.IX Header "SEE ALSO"
+\&\fBcrypto\fR\|(7), \fBEC_GROUP_new\fR\|(3), \fBEC_GROUP_copy\fR\|(3),
+\&\fBEC_POINT_new\fR\|(3), \fBEC_POINT_add\fR\|(3), \fBEC_KEY_new\fR\|(3),
+\&\fBd2i_ECPKParameters\fR\|(3),
+\&\fBBN_mod_mul_montgomery\fR\|(3)
+.SH "COPYRIGHT"
+.IX Header "COPYRIGHT"
+Copyright 2013\-2017 The OpenSSL Project Authors. All Rights Reserved.
+.PP
+Licensed under the OpenSSL license (the \*(L"License\*(R"). You may not use
+this file except in compliance with the License. You can obtain a copy
+in the file \s-1LICENSE\s0 in the source distribution or at
+<https://www.openssl.org/source/license.html>.