Reorganise ECC code for inclusion in FIPS module.
Move compression, point2oct and oct2point functions into separate files. Add a flags field to EC_METHOD. Add a flag EC_FLAGS_DEFAULT_OCT to use the default compession and oct functions (all existing methods do this). This removes dependencies from EC_METHOD while keeping original functionality.
This commit is contained in:
parent
bf2546f947
commit
84b08eee4b
@ -19,11 +19,13 @@ APPS=
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LIB=$(TOP)/libcrypto.a
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LIBSRC= ec_lib.c ecp_smpl.c ecp_mont.c ecp_nist.c ec_cvt.c ec_mult.c\
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ec_err.c ec_curve.c ec_check.c ec_print.c ec_asn1.c ec_key.c\
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ec2_smpl.c ec2_mult.c ec_ameth.c ec_pmeth.c eck_prn.c ecp_nistp224.c
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ec2_smpl.c ec2_mult.c ec_ameth.c ec_pmeth.c eck_prn.c \
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ecp_nistp224.c ecp_oct.c ec2_oct.c ec_oct.c
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LIBOBJ= ec_lib.o ecp_smpl.o ecp_mont.o ecp_nist.o ec_cvt.o ec_mult.o\
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ec_err.o ec_curve.o ec_check.o ec_print.o ec_asn1.o ec_key.o\
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ec2_smpl.o ec2_mult.o ec_ameth.o ec_pmeth.o eck_prn.o ecp_nistp224.o
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ec2_smpl.o ec2_mult.o ec_ameth.o ec_pmeth.o eck_prn.o \
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ecp_nistp224.o ecp_oct.o ec2_oct.o ec_oct.o
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SRC= $(LIBSRC)
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@ -67,6 +67,8 @@
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*
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*/
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#define OPENSSL_FIPSAPI
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#include <openssl/err.h>
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#include "ec_lcl.h"
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409
crypto/ec/ec2_oct.c
Normal file
409
crypto/ec/ec2_oct.c
Normal file
@ -0,0 +1,409 @@
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/* crypto/ec/ec2_oct.c */
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/* ====================================================================
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* Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
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*
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* The Elliptic Curve Public-Key Crypto Library (ECC Code) included
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* herein is developed by SUN MICROSYSTEMS, INC., and is contributed
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* to the OpenSSL project.
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*
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* The ECC Code is licensed pursuant to the OpenSSL open source
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* license provided below.
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*
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* The software is originally written by Sheueling Chang Shantz and
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* Douglas Stebila of Sun Microsystems Laboratories.
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*
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*/
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/* ====================================================================
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* Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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*
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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*
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in
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* the documentation and/or other materials provided with the
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* distribution.
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*
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* 3. All advertising materials mentioning features or use of this
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* software must display the following acknowledgment:
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* "This product includes software developed by the OpenSSL Project
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* for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
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*
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* 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
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* endorse or promote products derived from this software without
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* prior written permission. For written permission, please contact
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* openssl-core@openssl.org.
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*
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* 5. Products derived from this software may not be called "OpenSSL"
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* nor may "OpenSSL" appear in their names without prior written
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* permission of the OpenSSL Project.
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*
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* 6. Redistributions of any form whatsoever must retain the following
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* acknowledgment:
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* "This product includes software developed by the OpenSSL Project
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* for use in the OpenSSL Toolkit (http://www.openssl.org/)"
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*
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* THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
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* EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
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* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
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* ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
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* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
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* STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
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* OF THE POSSIBILITY OF SUCH DAMAGE.
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* ====================================================================
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*
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* This product includes cryptographic software written by Eric Young
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* (eay@cryptsoft.com). This product includes software written by Tim
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* Hudson (tjh@cryptsoft.com).
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*
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*/
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#define OPENSSL_FIPSAPI
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#include <openssl/err.h>
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#include "ec_lcl.h"
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#ifndef OPENSSL_NO_EC2M
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/* Calculates and sets the affine coordinates of an EC_POINT from the given
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* compressed coordinates. Uses algorithm 2.3.4 of SEC 1.
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* Note that the simple implementation only uses affine coordinates.
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*
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* The method is from the following publication:
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*
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* Harper, Menezes, Vanstone:
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* "Public-Key Cryptosystems with Very Small Key Lengths",
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* EUROCRYPT '92, Springer-Verlag LNCS 658,
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* published February 1993
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*
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* US Patents 6,141,420 and 6,618,483 (Vanstone, Mullin, Agnew) describe
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* the same method, but claim no priority date earlier than July 29, 1994
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* (and additionally fail to cite the EUROCRYPT '92 publication as prior art).
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*/
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int ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *group, EC_POINT *point,
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const BIGNUM *x_, int y_bit, BN_CTX *ctx)
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{
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BN_CTX *new_ctx = NULL;
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BIGNUM *tmp, *x, *y, *z;
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int ret = 0, z0;
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/* clear error queue */
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ERR_clear_error();
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if (ctx == NULL)
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{
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ctx = new_ctx = BN_CTX_new();
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if (ctx == NULL)
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return 0;
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}
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y_bit = (y_bit != 0) ? 1 : 0;
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BN_CTX_start(ctx);
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tmp = BN_CTX_get(ctx);
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x = BN_CTX_get(ctx);
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y = BN_CTX_get(ctx);
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z = BN_CTX_get(ctx);
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if (z == NULL) goto err;
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if (!BN_GF2m_mod_arr(x, x_, group->poly)) goto err;
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if (BN_is_zero(x))
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{
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if (!BN_GF2m_mod_sqrt_arr(y, &group->b, group->poly, ctx)) goto err;
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}
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else
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{
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if (!group->meth->field_sqr(group, tmp, x, ctx)) goto err;
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if (!group->meth->field_div(group, tmp, &group->b, tmp, ctx)) goto err;
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if (!BN_GF2m_add(tmp, &group->a, tmp)) goto err;
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if (!BN_GF2m_add(tmp, x, tmp)) goto err;
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if (!BN_GF2m_mod_solve_quad_arr(z, tmp, group->poly, ctx))
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{
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unsigned long err = ERR_peek_last_error();
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if (ERR_GET_LIB(err) == ERR_LIB_BN && ERR_GET_REASON(err) == BN_R_NO_SOLUTION)
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{
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ERR_clear_error();
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ECerr(EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES, EC_R_INVALID_COMPRESSED_POINT);
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}
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else
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ECerr(EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES, ERR_R_BN_LIB);
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goto err;
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}
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z0 = (BN_is_odd(z)) ? 1 : 0;
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if (!group->meth->field_mul(group, y, x, z, ctx)) goto err;
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if (z0 != y_bit)
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{
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if (!BN_GF2m_add(y, y, x)) goto err;
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}
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}
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if (!EC_POINT_set_affine_coordinates_GF2m(group, point, x, y, ctx)) goto err;
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ret = 1;
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err:
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BN_CTX_end(ctx);
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if (new_ctx != NULL)
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BN_CTX_free(new_ctx);
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return ret;
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}
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/* Converts an EC_POINT to an octet string.
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* If buf is NULL, the encoded length will be returned.
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* If the length len of buf is smaller than required an error will be returned.
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*/
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size_t ec_GF2m_simple_point2oct(const EC_GROUP *group, const EC_POINT *point, point_conversion_form_t form,
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unsigned char *buf, size_t len, BN_CTX *ctx)
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{
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size_t ret;
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BN_CTX *new_ctx = NULL;
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int used_ctx = 0;
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BIGNUM *x, *y, *yxi;
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size_t field_len, i, skip;
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if ((form != POINT_CONVERSION_COMPRESSED)
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&& (form != POINT_CONVERSION_UNCOMPRESSED)
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&& (form != POINT_CONVERSION_HYBRID))
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{
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ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_INVALID_FORM);
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goto err;
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}
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if (EC_POINT_is_at_infinity(group, point))
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{
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/* encodes to a single 0 octet */
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if (buf != NULL)
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{
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if (len < 1)
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{
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ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL);
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return 0;
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}
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buf[0] = 0;
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}
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return 1;
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}
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/* ret := required output buffer length */
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field_len = (EC_GROUP_get_degree(group) + 7) / 8;
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ret = (form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2*field_len;
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/* if 'buf' is NULL, just return required length */
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if (buf != NULL)
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{
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if (len < ret)
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{
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ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL);
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goto err;
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}
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if (ctx == NULL)
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{
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ctx = new_ctx = BN_CTX_new();
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if (ctx == NULL)
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return 0;
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}
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BN_CTX_start(ctx);
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used_ctx = 1;
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x = BN_CTX_get(ctx);
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y = BN_CTX_get(ctx);
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yxi = BN_CTX_get(ctx);
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if (yxi == NULL) goto err;
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if (!EC_POINT_get_affine_coordinates_GF2m(group, point, x, y, ctx)) goto err;
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buf[0] = form;
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if ((form != POINT_CONVERSION_UNCOMPRESSED) && !BN_is_zero(x))
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{
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if (!group->meth->field_div(group, yxi, y, x, ctx)) goto err;
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if (BN_is_odd(yxi)) buf[0]++;
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}
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i = 1;
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skip = field_len - BN_num_bytes(x);
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if (skip > field_len)
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{
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ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
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goto err;
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}
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while (skip > 0)
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{
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buf[i++] = 0;
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skip--;
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}
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skip = BN_bn2bin(x, buf + i);
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i += skip;
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if (i != 1 + field_len)
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{
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ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
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goto err;
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}
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if (form == POINT_CONVERSION_UNCOMPRESSED || form == POINT_CONVERSION_HYBRID)
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{
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skip = field_len - BN_num_bytes(y);
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if (skip > field_len)
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{
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ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
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goto err;
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}
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while (skip > 0)
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{
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buf[i++] = 0;
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skip--;
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}
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skip = BN_bn2bin(y, buf + i);
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i += skip;
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}
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if (i != ret)
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{
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ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
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goto err;
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}
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}
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if (used_ctx)
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BN_CTX_end(ctx);
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if (new_ctx != NULL)
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BN_CTX_free(new_ctx);
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return ret;
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err:
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if (used_ctx)
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BN_CTX_end(ctx);
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if (new_ctx != NULL)
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BN_CTX_free(new_ctx);
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return 0;
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}
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/* Converts an octet string representation to an EC_POINT.
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* Note that the simple implementation only uses affine coordinates.
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*/
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int ec_GF2m_simple_oct2point(const EC_GROUP *group, EC_POINT *point,
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const unsigned char *buf, size_t len, BN_CTX *ctx)
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{
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point_conversion_form_t form;
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int y_bit;
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BN_CTX *new_ctx = NULL;
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BIGNUM *x, *y, *yxi;
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size_t field_len, enc_len;
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int ret = 0;
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if (len == 0)
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{
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ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_BUFFER_TOO_SMALL);
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return 0;
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}
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form = buf[0];
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y_bit = form & 1;
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form = form & ~1U;
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if ((form != 0) && (form != POINT_CONVERSION_COMPRESSED)
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&& (form != POINT_CONVERSION_UNCOMPRESSED)
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&& (form != POINT_CONVERSION_HYBRID))
|
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{
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ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
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return 0;
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}
|
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if ((form == 0 || form == POINT_CONVERSION_UNCOMPRESSED) && y_bit)
|
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{
|
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ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
|
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return 0;
|
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}
|
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|
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if (form == 0)
|
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{
|
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if (len != 1)
|
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{
|
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ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
|
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return 0;
|
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}
|
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|
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return EC_POINT_set_to_infinity(group, point);
|
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}
|
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|
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field_len = (EC_GROUP_get_degree(group) + 7) / 8;
|
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enc_len = (form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2*field_len;
|
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|
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if (len != enc_len)
|
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{
|
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ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
|
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return 0;
|
||||
}
|
||||
|
||||
if (ctx == NULL)
|
||||
{
|
||||
ctx = new_ctx = BN_CTX_new();
|
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if (ctx == NULL)
|
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return 0;
|
||||
}
|
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|
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BN_CTX_start(ctx);
|
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x = BN_CTX_get(ctx);
|
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y = BN_CTX_get(ctx);
|
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yxi = BN_CTX_get(ctx);
|
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if (yxi == NULL) goto err;
|
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|
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if (!BN_bin2bn(buf + 1, field_len, x)) goto err;
|
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if (BN_ucmp(x, &group->field) >= 0)
|
||||
{
|
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ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
|
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goto err;
|
||||
}
|
||||
|
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if (form == POINT_CONVERSION_COMPRESSED)
|
||||
{
|
||||
if (!EC_POINT_set_compressed_coordinates_GF2m(group, point, x, y_bit, ctx)) goto err;
|
||||
}
|
||||
else
|
||||
{
|
||||
if (!BN_bin2bn(buf + 1 + field_len, field_len, y)) goto err;
|
||||
if (BN_ucmp(y, &group->field) >= 0)
|
||||
{
|
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ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
|
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goto err;
|
||||
}
|
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if (form == POINT_CONVERSION_HYBRID)
|
||||
{
|
||||
if (!group->meth->field_div(group, yxi, y, x, ctx)) goto err;
|
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if (y_bit != BN_is_odd(yxi))
|
||||
{
|
||||
ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
|
||||
goto err;
|
||||
}
|
||||
}
|
||||
|
||||
if (!EC_POINT_set_affine_coordinates_GF2m(group, point, x, y, ctx)) goto err;
|
||||
}
|
||||
|
||||
if (!EC_POINT_is_on_curve(group, point, ctx)) /* test required by X9.62 */
|
||||
{
|
||||
ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_POINT_IS_NOT_ON_CURVE);
|
||||
goto err;
|
||||
}
|
||||
|
||||
ret = 1;
|
||||
|
||||
err:
|
||||
BN_CTX_end(ctx);
|
||||
if (new_ctx != NULL)
|
||||
BN_CTX_free(new_ctx);
|
||||
return ret;
|
||||
}
|
||||
#endif
|
@ -67,6 +67,8 @@
|
||||
*
|
||||
*/
|
||||
|
||||
#define OPENSSL_FIPSAPI
|
||||
|
||||
#include <openssl/err.h>
|
||||
|
||||
#include "ec_lcl.h"
|
||||
@ -77,6 +79,7 @@
|
||||
const EC_METHOD *EC_GF2m_simple_method(void)
|
||||
{
|
||||
static const EC_METHOD ret = {
|
||||
EC_FLAGS_DEFAULT_OCT,
|
||||
NID_X9_62_characteristic_two_field,
|
||||
ec_GF2m_simple_group_init,
|
||||
ec_GF2m_simple_group_finish,
|
||||
@ -95,9 +98,7 @@ const EC_METHOD *EC_GF2m_simple_method(void)
|
||||
0 /* get_Jprojective_coordinates_GFp */,
|
||||
ec_GF2m_simple_point_set_affine_coordinates,
|
||||
ec_GF2m_simple_point_get_affine_coordinates,
|
||||
ec_GF2m_simple_set_compressed_coordinates,
|
||||
ec_GF2m_simple_point2oct,
|
||||
ec_GF2m_simple_oct2point,
|
||||
0,0,0,
|
||||
ec_GF2m_simple_add,
|
||||
ec_GF2m_simple_dbl,
|
||||
ec_GF2m_simple_invert,
|
||||
@ -407,340 +408,6 @@ int ec_GF2m_simple_point_get_affine_coordinates(const EC_GROUP *group, const EC_
|
||||
return ret;
|
||||
}
|
||||
|
||||
|
||||
/* Calculates and sets the affine coordinates of an EC_POINT from the given
|
||||
* compressed coordinates. Uses algorithm 2.3.4 of SEC 1.
|
||||
* Note that the simple implementation only uses affine coordinates.
|
||||
*
|
||||
* The method is from the following publication:
|
||||
*
|
||||
* Harper, Menezes, Vanstone:
|
||||
* "Public-Key Cryptosystems with Very Small Key Lengths",
|
||||
* EUROCRYPT '92, Springer-Verlag LNCS 658,
|
||||
* published February 1993
|
||||
*
|
||||
* US Patents 6,141,420 and 6,618,483 (Vanstone, Mullin, Agnew) describe
|
||||
* the same method, but claim no priority date earlier than July 29, 1994
|
||||
* (and additionally fail to cite the EUROCRYPT '92 publication as prior art).
|
||||
*/
|
||||
int ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *group, EC_POINT *point,
|
||||
const BIGNUM *x_, int y_bit, BN_CTX *ctx)
|
||||
{
|
||||
BN_CTX *new_ctx = NULL;
|
||||
BIGNUM *tmp, *x, *y, *z;
|
||||
int ret = 0, z0;
|
||||
|
||||
/* clear error queue */
|
||||
ERR_clear_error();
|
||||
|
||||
if (ctx == NULL)
|
||||
{
|
||||
ctx = new_ctx = BN_CTX_new();
|
||||
if (ctx == NULL)
|
||||
return 0;
|
||||
}
|
||||
|
||||
y_bit = (y_bit != 0) ? 1 : 0;
|
||||
|
||||
BN_CTX_start(ctx);
|
||||
tmp = BN_CTX_get(ctx);
|
||||
x = BN_CTX_get(ctx);
|
||||
y = BN_CTX_get(ctx);
|
||||
z = BN_CTX_get(ctx);
|
||||
if (z == NULL) goto err;
|
||||
|
||||
if (!BN_GF2m_mod_arr(x, x_, group->poly)) goto err;
|
||||
if (BN_is_zero(x))
|
||||
{
|
||||
if (!BN_GF2m_mod_sqrt_arr(y, &group->b, group->poly, ctx)) goto err;
|
||||
}
|
||||
else
|
||||
{
|
||||
if (!group->meth->field_sqr(group, tmp, x, ctx)) goto err;
|
||||
if (!group->meth->field_div(group, tmp, &group->b, tmp, ctx)) goto err;
|
||||
if (!BN_GF2m_add(tmp, &group->a, tmp)) goto err;
|
||||
if (!BN_GF2m_add(tmp, x, tmp)) goto err;
|
||||
if (!BN_GF2m_mod_solve_quad_arr(z, tmp, group->poly, ctx))
|
||||
{
|
||||
unsigned long err = ERR_peek_last_error();
|
||||
|
||||
if (ERR_GET_LIB(err) == ERR_LIB_BN && ERR_GET_REASON(err) == BN_R_NO_SOLUTION)
|
||||
{
|
||||
ERR_clear_error();
|
||||
ECerr(EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES, EC_R_INVALID_COMPRESSED_POINT);
|
||||
}
|
||||
else
|
||||
ECerr(EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES, ERR_R_BN_LIB);
|
||||
goto err;
|
||||
}
|
||||
z0 = (BN_is_odd(z)) ? 1 : 0;
|
||||
if (!group->meth->field_mul(group, y, x, z, ctx)) goto err;
|
||||
if (z0 != y_bit)
|
||||
{
|
||||
if (!BN_GF2m_add(y, y, x)) goto err;
|
||||
}
|
||||
}
|
||||
|
||||
if (!EC_POINT_set_affine_coordinates_GF2m(group, point, x, y, ctx)) goto err;
|
||||
|
||||
ret = 1;
|
||||
|
||||
err:
|
||||
BN_CTX_end(ctx);
|
||||
if (new_ctx != NULL)
|
||||
BN_CTX_free(new_ctx);
|
||||
return ret;
|
||||
}
|
||||
|
||||
|
||||
/* Converts an EC_POINT to an octet string.
|
||||
* If buf is NULL, the encoded length will be returned.
|
||||
* If the length len of buf is smaller than required an error will be returned.
|
||||
*/
|
||||
size_t ec_GF2m_simple_point2oct(const EC_GROUP *group, const EC_POINT *point, point_conversion_form_t form,
|
||||
unsigned char *buf, size_t len, BN_CTX *ctx)
|
||||
{
|
||||
size_t ret;
|
||||
BN_CTX *new_ctx = NULL;
|
||||
int used_ctx = 0;
|
||||
BIGNUM *x, *y, *yxi;
|
||||
size_t field_len, i, skip;
|
||||
|
||||
if ((form != POINT_CONVERSION_COMPRESSED)
|
||||
&& (form != POINT_CONVERSION_UNCOMPRESSED)
|
||||
&& (form != POINT_CONVERSION_HYBRID))
|
||||
{
|
||||
ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_INVALID_FORM);
|
||||
goto err;
|
||||
}
|
||||
|
||||
if (EC_POINT_is_at_infinity(group, point))
|
||||
{
|
||||
/* encodes to a single 0 octet */
|
||||
if (buf != NULL)
|
||||
{
|
||||
if (len < 1)
|
||||
{
|
||||
ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL);
|
||||
return 0;
|
||||
}
|
||||
buf[0] = 0;
|
||||
}
|
||||
return 1;
|
||||
}
|
||||
|
||||
|
||||
/* ret := required output buffer length */
|
||||
field_len = (EC_GROUP_get_degree(group) + 7) / 8;
|
||||
ret = (form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2*field_len;
|
||||
|
||||
/* if 'buf' is NULL, just return required length */
|
||||
if (buf != NULL)
|
||||
{
|
||||
if (len < ret)
|
||||
{
|
||||
ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL);
|
||||
goto err;
|
||||
}
|
||||
|
||||
if (ctx == NULL)
|
||||
{
|
||||
ctx = new_ctx = BN_CTX_new();
|
||||
if (ctx == NULL)
|
||||
return 0;
|
||||
}
|
||||
|
||||
BN_CTX_start(ctx);
|
||||
used_ctx = 1;
|
||||
x = BN_CTX_get(ctx);
|
||||
y = BN_CTX_get(ctx);
|
||||
yxi = BN_CTX_get(ctx);
|
||||
if (yxi == NULL) goto err;
|
||||
|
||||
if (!EC_POINT_get_affine_coordinates_GF2m(group, point, x, y, ctx)) goto err;
|
||||
|
||||
buf[0] = form;
|
||||
if ((form != POINT_CONVERSION_UNCOMPRESSED) && !BN_is_zero(x))
|
||||
{
|
||||
if (!group->meth->field_div(group, yxi, y, x, ctx)) goto err;
|
||||
if (BN_is_odd(yxi)) buf[0]++;
|
||||
}
|
||||
|
||||
i = 1;
|
||||
|
||||
skip = field_len - BN_num_bytes(x);
|
||||
if (skip > field_len)
|
||||
{
|
||||
ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
|
||||
goto err;
|
||||
}
|
||||
while (skip > 0)
|
||||
{
|
||||
buf[i++] = 0;
|
||||
skip--;
|
||||
}
|
||||
skip = BN_bn2bin(x, buf + i);
|
||||
i += skip;
|
||||
if (i != 1 + field_len)
|
||||
{
|
||||
ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
|
||||
goto err;
|
||||
}
|
||||
|
||||
if (form == POINT_CONVERSION_UNCOMPRESSED || form == POINT_CONVERSION_HYBRID)
|
||||
{
|
||||
skip = field_len - BN_num_bytes(y);
|
||||
if (skip > field_len)
|
||||
{
|
||||
ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
|
||||
goto err;
|
||||
}
|
||||
while (skip > 0)
|
||||
{
|
||||
buf[i++] = 0;
|
||||
skip--;
|
||||
}
|
||||
skip = BN_bn2bin(y, buf + i);
|
||||
i += skip;
|
||||
}
|
||||
|
||||
if (i != ret)
|
||||
{
|
||||
ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
|
||||
goto err;
|
||||
}
|
||||
}
|
||||
|
||||
if (used_ctx)
|
||||
BN_CTX_end(ctx);
|
||||
if (new_ctx != NULL)
|
||||
BN_CTX_free(new_ctx);
|
||||
return ret;
|
||||
|
||||
err:
|
||||
if (used_ctx)
|
||||
BN_CTX_end(ctx);
|
||||
if (new_ctx != NULL)
|
||||
BN_CTX_free(new_ctx);
|
||||
return 0;
|
||||
}
|
||||
|
||||
|
||||
/* Converts an octet string representation to an EC_POINT.
|
||||
* Note that the simple implementation only uses affine coordinates.
|
||||
*/
|
||||
int ec_GF2m_simple_oct2point(const EC_GROUP *group, EC_POINT *point,
|
||||
const unsigned char *buf, size_t len, BN_CTX *ctx)
|
||||
{
|
||||
point_conversion_form_t form;
|
||||
int y_bit;
|
||||
BN_CTX *new_ctx = NULL;
|
||||
BIGNUM *x, *y, *yxi;
|
||||
size_t field_len, enc_len;
|
||||
int ret = 0;
|
||||
|
||||
if (len == 0)
|
||||
{
|
||||
ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_BUFFER_TOO_SMALL);
|
||||
return 0;
|
||||
}
|
||||
form = buf[0];
|
||||
y_bit = form & 1;
|
||||
form = form & ~1U;
|
||||
if ((form != 0) && (form != POINT_CONVERSION_COMPRESSED)
|
||||
&& (form != POINT_CONVERSION_UNCOMPRESSED)
|
||||
&& (form != POINT_CONVERSION_HYBRID))
|
||||
{
|
||||
ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
|
||||
return 0;
|
||||
}
|
||||
if ((form == 0 || form == POINT_CONVERSION_UNCOMPRESSED) && y_bit)
|
||||
{
|
||||
ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
|
||||
return 0;
|
||||
}
|
||||
|
||||
if (form == 0)
|
||||
{
|
||||
if (len != 1)
|
||||
{
|
||||
ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
|
||||
return 0;
|
||||
}
|
||||
|
||||
return EC_POINT_set_to_infinity(group, point);
|
||||
}
|
||||
|
||||
field_len = (EC_GROUP_get_degree(group) + 7) / 8;
|
||||
enc_len = (form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2*field_len;
|
||||
|
||||
if (len != enc_len)
|
||||
{
|
||||
ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
|
||||
return 0;
|
||||
}
|
||||
|
||||
if (ctx == NULL)
|
||||
{
|
||||
ctx = new_ctx = BN_CTX_new();
|
||||
if (ctx == NULL)
|
||||
return 0;
|
||||
}
|
||||
|
||||
BN_CTX_start(ctx);
|
||||
x = BN_CTX_get(ctx);
|
||||
y = BN_CTX_get(ctx);
|
||||
yxi = BN_CTX_get(ctx);
|
||||
if (yxi == NULL) goto err;
|
||||
|
||||
if (!BN_bin2bn(buf + 1, field_len, x)) goto err;
|
||||
if (BN_ucmp(x, &group->field) >= 0)
|
||||
{
|
||||
ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
|
||||
goto err;
|
||||
}
|
||||
|
||||
if (form == POINT_CONVERSION_COMPRESSED)
|
||||
{
|
||||
if (!EC_POINT_set_compressed_coordinates_GF2m(group, point, x, y_bit, ctx)) goto err;
|
||||
}
|
||||
else
|
||||
{
|
||||
if (!BN_bin2bn(buf + 1 + field_len, field_len, y)) goto err;
|
||||
if (BN_ucmp(y, &group->field) >= 0)
|
||||
{
|
||||
ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
|
||||
goto err;
|
||||
}
|
||||
if (form == POINT_CONVERSION_HYBRID)
|
||||
{
|
||||
if (!group->meth->field_div(group, yxi, y, x, ctx)) goto err;
|
||||
if (y_bit != BN_is_odd(yxi))
|
||||
{
|
||||
ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
|
||||
goto err;
|
||||
}
|
||||
}
|
||||
|
||||
if (!EC_POINT_set_affine_coordinates_GF2m(group, point, x, y, ctx)) goto err;
|
||||
}
|
||||
|
||||
if (!EC_POINT_is_on_curve(group, point, ctx)) /* test required by X9.62 */
|
||||
{
|
||||
ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_POINT_IS_NOT_ON_CURVE);
|
||||
goto err;
|
||||
}
|
||||
|
||||
ret = 1;
|
||||
|
||||
err:
|
||||
BN_CTX_end(ctx);
|
||||
if (new_ctx != NULL)
|
||||
BN_CTX_free(new_ctx);
|
||||
return ret;
|
||||
}
|
||||
|
||||
|
||||
/* Computes a + b and stores the result in r. r could be a or b, a could be b.
|
||||
* Uses algorithm A.10.2 of IEEE P1363.
|
||||
*/
|
||||
|
@ -69,6 +69,8 @@
|
||||
*
|
||||
*/
|
||||
|
||||
#define OPENSSL_FIPSAPI
|
||||
|
||||
#include "ec_lcl.h"
|
||||
#include <openssl/err.h>
|
||||
#include <openssl/obj_mac.h>
|
||||
|
@ -61,6 +61,8 @@
|
||||
* contributed to the OpenSSL project.
|
||||
*/
|
||||
|
||||
#define OPENSSL_FIPSAPI
|
||||
|
||||
#include <string.h>
|
||||
#include "ec_lcl.h"
|
||||
#include <openssl/err.h>
|
||||
|
@ -82,10 +82,15 @@
|
||||
# endif
|
||||
#endif
|
||||
|
||||
/* Use default functions for poin2oct, oct2point and compressed coordinates */
|
||||
#define EC_FLAGS_DEFAULT_OCT 0x1
|
||||
|
||||
/* Structure details are not part of the exported interface,
|
||||
* so all this may change in future versions. */
|
||||
|
||||
struct ec_method_st {
|
||||
/* Various method flags */
|
||||
int flags;
|
||||
/* used by EC_METHOD_get_field_type: */
|
||||
int field_type; /* a NID */
|
||||
|
||||
|
@ -61,6 +61,8 @@
|
||||
* SUN MICROSYSTEMS, INC., and contributed to the OpenSSL project.
|
||||
*/
|
||||
|
||||
#define OPENSSL_FIPSAPI
|
||||
|
||||
#include <string.h>
|
||||
|
||||
#include <openssl/err.h>
|
||||
@ -908,74 +910,6 @@ int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group, const EC_POINT *
|
||||
}
|
||||
#endif
|
||||
|
||||
int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
|
||||
const BIGNUM *x, int y_bit, BN_CTX *ctx)
|
||||
{
|
||||
if (group->meth->point_set_compressed_coordinates == 0)
|
||||
{
|
||||
ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
|
||||
return 0;
|
||||
}
|
||||
if (group->meth != point->meth)
|
||||
{
|
||||
ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
|
||||
return 0;
|
||||
}
|
||||
return group->meth->point_set_compressed_coordinates(group, point, x, y_bit, ctx);
|
||||
}
|
||||
|
||||
#ifndef OPENSSL_NO_EC2M
|
||||
int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group, EC_POINT *point,
|
||||
const BIGNUM *x, int y_bit, BN_CTX *ctx)
|
||||
{
|
||||
if (group->meth->point_set_compressed_coordinates == 0)
|
||||
{
|
||||
ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
|
||||
return 0;
|
||||
}
|
||||
if (group->meth != point->meth)
|
||||
{
|
||||
ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M, EC_R_INCOMPATIBLE_OBJECTS);
|
||||
return 0;
|
||||
}
|
||||
return group->meth->point_set_compressed_coordinates(group, point, x, y_bit, ctx);
|
||||
}
|
||||
#endif
|
||||
|
||||
size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *point, point_conversion_form_t form,
|
||||
unsigned char *buf, size_t len, BN_CTX *ctx)
|
||||
{
|
||||
if (group->meth->point2oct == 0)
|
||||
{
|
||||
ECerr(EC_F_EC_POINT_POINT2OCT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
|
||||
return 0;
|
||||
}
|
||||
if (group->meth != point->meth)
|
||||
{
|
||||
ECerr(EC_F_EC_POINT_POINT2OCT, EC_R_INCOMPATIBLE_OBJECTS);
|
||||
return 0;
|
||||
}
|
||||
return group->meth->point2oct(group, point, form, buf, len, ctx);
|
||||
}
|
||||
|
||||
|
||||
int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *point,
|
||||
const unsigned char *buf, size_t len, BN_CTX *ctx)
|
||||
{
|
||||
if (group->meth->oct2point == 0)
|
||||
{
|
||||
ECerr(EC_F_EC_POINT_OCT2POINT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
|
||||
return 0;
|
||||
}
|
||||
if (group->meth != point->meth)
|
||||
{
|
||||
ECerr(EC_F_EC_POINT_OCT2POINT, EC_R_INCOMPATIBLE_OBJECTS);
|
||||
return 0;
|
||||
}
|
||||
return group->meth->oct2point(group, point, buf, len, ctx);
|
||||
}
|
||||
|
||||
|
||||
int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx)
|
||||
{
|
||||
if (group->meth->add == 0)
|
||||
|
@ -61,6 +61,8 @@
|
||||
* and contributed to the OpenSSL project.
|
||||
*/
|
||||
|
||||
#define OPENSSL_FIPSAPI
|
||||
|
||||
#include <string.h>
|
||||
|
||||
#include <openssl/err.h>
|
||||
|
178
crypto/ec/ec_oct.c
Normal file
178
crypto/ec/ec_oct.c
Normal file
@ -0,0 +1,178 @@
|
||||
/* crypto/ec/ec_lib.c */
|
||||
/*
|
||||
* Originally written by Bodo Moeller for the OpenSSL project.
|
||||
*/
|
||||
/* ====================================================================
|
||||
* Copyright (c) 1998-2003 The OpenSSL Project. All rights reserved.
|
||||
*
|
||||
* Redistribution and use in source and binary forms, with or without
|
||||
* modification, are permitted provided that the following conditions
|
||||
* are met:
|
||||
*
|
||||
* 1. Redistributions of source code must retain the above copyright
|
||||
* notice, this list of conditions and the following disclaimer.
|
||||
*
|
||||
* 2. Redistributions in binary form must reproduce the above copyright
|
||||
* notice, this list of conditions and the following disclaimer in
|
||||
* the documentation and/or other materials provided with the
|
||||
* distribution.
|
||||
*
|
||||
* 3. All advertising materials mentioning features or use of this
|
||||
* software must display the following acknowledgment:
|
||||
* "This product includes software developed by the OpenSSL Project
|
||||
* for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
|
||||
*
|
||||
* 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
|
||||
* endorse or promote products derived from this software without
|
||||
* prior written permission. For written permission, please contact
|
||||
* openssl-core@openssl.org.
|
||||
*
|
||||
* 5. Products derived from this software may not be called "OpenSSL"
|
||||
* nor may "OpenSSL" appear in their names without prior written
|
||||
* permission of the OpenSSL Project.
|
||||
*
|
||||
* 6. Redistributions of any form whatsoever must retain the following
|
||||
* acknowledgment:
|
||||
* "This product includes software developed by the OpenSSL Project
|
||||
* for use in the OpenSSL Toolkit (http://www.openssl.org/)"
|
||||
*
|
||||
* THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
|
||||
* EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
|
||||
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
|
||||
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
|
||||
* ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
|
||||
* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
|
||||
* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
|
||||
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
|
||||
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
|
||||
* STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
|
||||
* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
|
||||
* OF THE POSSIBILITY OF SUCH DAMAGE.
|
||||
* ====================================================================
|
||||
*
|
||||
* This product includes cryptographic software written by Eric Young
|
||||
* (eay@cryptsoft.com). This product includes software written by Tim
|
||||
* Hudson (tjh@cryptsoft.com).
|
||||
*
|
||||
*/
|
||||
/* ====================================================================
|
||||
* Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
|
||||
* Binary polynomial ECC support in OpenSSL originally developed by
|
||||
* SUN MICROSYSTEMS, INC., and contributed to the OpenSSL project.
|
||||
*/
|
||||
|
||||
#include <string.h>
|
||||
|
||||
#include <openssl/err.h>
|
||||
#include <openssl/opensslv.h>
|
||||
|
||||
#include "ec_lcl.h"
|
||||
|
||||
int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
|
||||
const BIGNUM *x, int y_bit, BN_CTX *ctx)
|
||||
{
|
||||
if (group->meth->point_set_compressed_coordinates == 0
|
||||
&& !(group->meth->flags & EC_FLAGS_DEFAULT_OCT))
|
||||
{
|
||||
ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
|
||||
return 0;
|
||||
}
|
||||
if (group->meth != point->meth)
|
||||
{
|
||||
ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
|
||||
return 0;
|
||||
}
|
||||
if(group->meth->flags & EC_FLAGS_DEFAULT_OCT)
|
||||
{
|
||||
if (group->meth->field_type == NID_X9_62_prime_field)
|
||||
return ec_GFp_simple_set_compressed_coordinates(
|
||||
group, point, x, y_bit, ctx);
|
||||
else
|
||||
return ec_GF2m_simple_set_compressed_coordinates(
|
||||
group, point, x, y_bit, ctx);
|
||||
}
|
||||
return group->meth->point_set_compressed_coordinates(group, point, x, y_bit, ctx);
|
||||
}
|
||||
|
||||
#ifndef OPENSSL_NO_EC2M
|
||||
int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group, EC_POINT *point,
|
||||
const BIGNUM *x, int y_bit, BN_CTX *ctx)
|
||||
{
|
||||
if (group->meth->point_set_compressed_coordinates == 0
|
||||
&& !(group->meth->flags & EC_FLAGS_DEFAULT_OCT))
|
||||
{
|
||||
ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
|
||||
return 0;
|
||||
}
|
||||
if (group->meth != point->meth)
|
||||
{
|
||||
ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M, EC_R_INCOMPATIBLE_OBJECTS);
|
||||
return 0;
|
||||
}
|
||||
if(group->meth->flags & EC_FLAGS_DEFAULT_OCT)
|
||||
{
|
||||
if (group->meth->field_type == NID_X9_62_prime_field)
|
||||
return ec_GFp_simple_set_compressed_coordinates(
|
||||
group, point, x, y_bit, ctx);
|
||||
else
|
||||
return ec_GF2m_simple_set_compressed_coordinates(
|
||||
group, point, x, y_bit, ctx);
|
||||
}
|
||||
return group->meth->point_set_compressed_coordinates(group, point, x, y_bit, ctx);
|
||||
}
|
||||
#endif
|
||||
|
||||
size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *point, point_conversion_form_t form,
|
||||
unsigned char *buf, size_t len, BN_CTX *ctx)
|
||||
{
|
||||
if (group->meth->point2oct == 0
|
||||
&& !(group->meth->flags & EC_FLAGS_DEFAULT_OCT))
|
||||
{
|
||||
ECerr(EC_F_EC_POINT_POINT2OCT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
|
||||
return 0;
|
||||
}
|
||||
if (group->meth != point->meth)
|
||||
{
|
||||
ECerr(EC_F_EC_POINT_POINT2OCT, EC_R_INCOMPATIBLE_OBJECTS);
|
||||
return 0;
|
||||
}
|
||||
if(group->meth->flags & EC_FLAGS_DEFAULT_OCT)
|
||||
{
|
||||
if (group->meth->field_type == NID_X9_62_prime_field)
|
||||
return ec_GFp_simple_point2oct(group, point,
|
||||
form, buf, len, ctx);
|
||||
else
|
||||
return ec_GF2m_simple_point2oct(group, point,
|
||||
form, buf, len, ctx);
|
||||
}
|
||||
|
||||
return group->meth->point2oct(group, point, form, buf, len, ctx);
|
||||
}
|
||||
|
||||
|
||||
int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *point,
|
||||
const unsigned char *buf, size_t len, BN_CTX *ctx)
|
||||
{
|
||||
if (group->meth->oct2point == 0
|
||||
&& !(group->meth->flags & EC_FLAGS_DEFAULT_OCT))
|
||||
{
|
||||
ECerr(EC_F_EC_POINT_OCT2POINT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
|
||||
return 0;
|
||||
}
|
||||
if (group->meth != point->meth)
|
||||
{
|
||||
ECerr(EC_F_EC_POINT_OCT2POINT, EC_R_INCOMPATIBLE_OBJECTS);
|
||||
return 0;
|
||||
}
|
||||
if(group->meth->flags & EC_FLAGS_DEFAULT_OCT)
|
||||
{
|
||||
if (group->meth->field_type == NID_X9_62_prime_field)
|
||||
return ec_GFp_simple_oct2point(group, point,
|
||||
buf, len, ctx);
|
||||
else
|
||||
return ec_GF2m_simple_oct2point(group, point,
|
||||
buf, len, ctx);
|
||||
}
|
||||
return group->meth->oct2point(group, point, buf, len, ctx);
|
||||
}
|
||||
|
@ -61,6 +61,8 @@
|
||||
* and contributed to the OpenSSL project.
|
||||
*/
|
||||
|
||||
#define OPENSSL_FIPSAPI
|
||||
|
||||
#include <openssl/err.h>
|
||||
|
||||
#include "ec_lcl.h"
|
||||
@ -69,6 +71,7 @@
|
||||
const EC_METHOD *EC_GFp_mont_method(void)
|
||||
{
|
||||
static const EC_METHOD ret = {
|
||||
EC_FLAGS_DEFAULT_OCT,
|
||||
NID_X9_62_prime_field,
|
||||
ec_GFp_mont_group_init,
|
||||
ec_GFp_mont_group_finish,
|
||||
@ -87,9 +90,7 @@ const EC_METHOD *EC_GFp_mont_method(void)
|
||||
ec_GFp_simple_get_Jprojective_coordinates_GFp,
|
||||
ec_GFp_simple_point_set_affine_coordinates,
|
||||
ec_GFp_simple_point_get_affine_coordinates,
|
||||
ec_GFp_simple_set_compressed_coordinates,
|
||||
ec_GFp_simple_point2oct,
|
||||
ec_GFp_simple_oct2point,
|
||||
0,0,0,
|
||||
ec_GFp_simple_add,
|
||||
ec_GFp_simple_dbl,
|
||||
ec_GFp_simple_invert,
|
||||
|
@ -61,6 +61,8 @@
|
||||
* and contributed to the OpenSSL project.
|
||||
*/
|
||||
|
||||
#define OPENSSL_FIPSAPI
|
||||
|
||||
#include <limits.h>
|
||||
|
||||
#include <openssl/err.h>
|
||||
@ -70,6 +72,7 @@
|
||||
const EC_METHOD *EC_GFp_nist_method(void)
|
||||
{
|
||||
static const EC_METHOD ret = {
|
||||
EC_FLAGS_DEFAULT_OCT,
|
||||
NID_X9_62_prime_field,
|
||||
ec_GFp_simple_group_init,
|
||||
ec_GFp_simple_group_finish,
|
||||
@ -88,9 +91,7 @@ const EC_METHOD *EC_GFp_nist_method(void)
|
||||
ec_GFp_simple_get_Jprojective_coordinates_GFp,
|
||||
ec_GFp_simple_point_set_affine_coordinates,
|
||||
ec_GFp_simple_point_get_affine_coordinates,
|
||||
ec_GFp_simple_set_compressed_coordinates,
|
||||
ec_GFp_simple_point2oct,
|
||||
ec_GFp_simple_oct2point,
|
||||
0,0,0,
|
||||
ec_GFp_simple_add,
|
||||
ec_GFp_simple_dbl,
|
||||
ec_GFp_simple_invert,
|
||||
|
433
crypto/ec/ecp_oct.c
Normal file
433
crypto/ec/ecp_oct.c
Normal file
@ -0,0 +1,433 @@
|
||||
/* crypto/ec/ecp_oct.c */
|
||||
/* Includes code written by Lenka Fibikova <fibikova@exp-math.uni-essen.de>
|
||||
* for the OpenSSL project.
|
||||
* Includes code written by Bodo Moeller for the OpenSSL project.
|
||||
*/
|
||||
/* ====================================================================
|
||||
* Copyright (c) 1998-2002 The OpenSSL Project. All rights reserved.
|
||||
*
|
||||
* Redistribution and use in source and binary forms, with or without
|
||||
* modification, are permitted provided that the following conditions
|
||||
* are met:
|
||||
*
|
||||
* 1. Redistributions of source code must retain the above copyright
|
||||
* notice, this list of conditions and the following disclaimer.
|
||||
*
|
||||
* 2. Redistributions in binary form must reproduce the above copyright
|
||||
* notice, this list of conditions and the following disclaimer in
|
||||
* the documentation and/or other materials provided with the
|
||||
* distribution.
|
||||
*
|
||||
* 3. All advertising materials mentioning features or use of this
|
||||
* software must display the following acknowledgment:
|
||||
* "This product includes software developed by the OpenSSL Project
|
||||
* for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
|
||||
*
|
||||
* 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
|
||||
* endorse or promote products derived from this software without
|
||||
* prior written permission. For written permission, please contact
|
||||
* openssl-core@openssl.org.
|
||||
*
|
||||
* 5. Products derived from this software may not be called "OpenSSL"
|
||||
* nor may "OpenSSL" appear in their names without prior written
|
||||
* permission of the OpenSSL Project.
|
||||
*
|
||||
* 6. Redistributions of any form whatsoever must retain the following
|
||||
* acknowledgment:
|
||||
* "This product includes software developed by the OpenSSL Project
|
||||
* for use in the OpenSSL Toolkit (http://www.openssl.org/)"
|
||||
*
|
||||
* THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
|
||||
* EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
|
||||
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
|
||||
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
|
||||
* ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
|
||||
* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
|
||||
* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
|
||||
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
|
||||
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
|
||||
* STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
|
||||
* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
|
||||
* OF THE POSSIBILITY OF SUCH DAMAGE.
|
||||
* ====================================================================
|
||||
*
|
||||
* This product includes cryptographic software written by Eric Young
|
||||
* (eay@cryptsoft.com). This product includes software written by Tim
|
||||
* Hudson (tjh@cryptsoft.com).
|
||||
*
|
||||
*/
|
||||
/* ====================================================================
|
||||
* Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
|
||||
* Portions of this software developed by SUN MICROSYSTEMS, INC.,
|
||||
* and contributed to the OpenSSL project.
|
||||
*/
|
||||
|
||||
#include <openssl/err.h>
|
||||
#include <openssl/symhacks.h>
|
||||
|
||||
#include "ec_lcl.h"
|
||||
|
||||
int ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *group, EC_POINT *point,
|
||||
const BIGNUM *x_, int y_bit, BN_CTX *ctx)
|
||||
{
|
||||
BN_CTX *new_ctx = NULL;
|
||||
BIGNUM *tmp1, *tmp2, *x, *y;
|
||||
int ret = 0;
|
||||
|
||||
/* clear error queue*/
|
||||
ERR_clear_error();
|
||||
|
||||
if (ctx == NULL)
|
||||
{
|
||||
ctx = new_ctx = BN_CTX_new();
|
||||
if (ctx == NULL)
|
||||
return 0;
|
||||
}
|
||||
|
||||
y_bit = (y_bit != 0);
|
||||
|
||||
BN_CTX_start(ctx);
|
||||
tmp1 = BN_CTX_get(ctx);
|
||||
tmp2 = BN_CTX_get(ctx);
|
||||
x = BN_CTX_get(ctx);
|
||||
y = BN_CTX_get(ctx);
|
||||
if (y == NULL) goto err;
|
||||
|
||||
/* Recover y. We have a Weierstrass equation
|
||||
* y^2 = x^3 + a*x + b,
|
||||
* so y is one of the square roots of x^3 + a*x + b.
|
||||
*/
|
||||
|
||||
/* tmp1 := x^3 */
|
||||
if (!BN_nnmod(x, x_, &group->field,ctx)) goto err;
|
||||
if (group->meth->field_decode == 0)
|
||||
{
|
||||
/* field_{sqr,mul} work on standard representation */
|
||||
if (!group->meth->field_sqr(group, tmp2, x_, ctx)) goto err;
|
||||
if (!group->meth->field_mul(group, tmp1, tmp2, x_, ctx)) goto err;
|
||||
}
|
||||
else
|
||||
{
|
||||
if (!BN_mod_sqr(tmp2, x_, &group->field, ctx)) goto err;
|
||||
if (!BN_mod_mul(tmp1, tmp2, x_, &group->field, ctx)) goto err;
|
||||
}
|
||||
|
||||
/* tmp1 := tmp1 + a*x */
|
||||
if (group->a_is_minus3)
|
||||
{
|
||||
if (!BN_mod_lshift1_quick(tmp2, x, &group->field)) goto err;
|
||||
if (!BN_mod_add_quick(tmp2, tmp2, x, &group->field)) goto err;
|
||||
if (!BN_mod_sub_quick(tmp1, tmp1, tmp2, &group->field)) goto err;
|
||||
}
|
||||
else
|
||||
{
|
||||
if (group->meth->field_decode)
|
||||
{
|
||||
if (!group->meth->field_decode(group, tmp2, &group->a, ctx)) goto err;
|
||||
if (!BN_mod_mul(tmp2, tmp2, x, &group->field, ctx)) goto err;
|
||||
}
|
||||
else
|
||||
{
|
||||
/* field_mul works on standard representation */
|
||||
if (!group->meth->field_mul(group, tmp2, &group->a, x, ctx)) goto err;
|
||||
}
|
||||
|
||||
if (!BN_mod_add_quick(tmp1, tmp1, tmp2, &group->field)) goto err;
|
||||
}
|
||||
|
||||
/* tmp1 := tmp1 + b */
|
||||
if (group->meth->field_decode)
|
||||
{
|
||||
if (!group->meth->field_decode(group, tmp2, &group->b, ctx)) goto err;
|
||||
if (!BN_mod_add_quick(tmp1, tmp1, tmp2, &group->field)) goto err;
|
||||
}
|
||||
else
|
||||
{
|
||||
if (!BN_mod_add_quick(tmp1, tmp1, &group->b, &group->field)) goto err;
|
||||
}
|
||||
|
||||
if (!BN_mod_sqrt(y, tmp1, &group->field, ctx))
|
||||
{
|
||||
unsigned long err = ERR_peek_last_error();
|
||||
|
||||
if (ERR_GET_LIB(err) == ERR_LIB_BN && ERR_GET_REASON(err) == BN_R_NOT_A_SQUARE)
|
||||
{
|
||||
ERR_clear_error();
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, EC_R_INVALID_COMPRESSED_POINT);
|
||||
}
|
||||
else
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, ERR_R_BN_LIB);
|
||||
goto err;
|
||||
}
|
||||
|
||||
if (y_bit != BN_is_odd(y))
|
||||
{
|
||||
if (BN_is_zero(y))
|
||||
{
|
||||
int kron;
|
||||
|
||||
kron = BN_kronecker(x, &group->field, ctx);
|
||||
if (kron == -2) goto err;
|
||||
|
||||
if (kron == 1)
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, EC_R_INVALID_COMPRESSION_BIT);
|
||||
else
|
||||
/* BN_mod_sqrt() should have cought this error (not a square) */
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, EC_R_INVALID_COMPRESSED_POINT);
|
||||
goto err;
|
||||
}
|
||||
if (!BN_usub(y, &group->field, y)) goto err;
|
||||
}
|
||||
if (y_bit != BN_is_odd(y))
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, ERR_R_INTERNAL_ERROR);
|
||||
goto err;
|
||||
}
|
||||
|
||||
if (!EC_POINT_set_affine_coordinates_GFp(group, point, x, y, ctx)) goto err;
|
||||
|
||||
ret = 1;
|
||||
|
||||
err:
|
||||
BN_CTX_end(ctx);
|
||||
if (new_ctx != NULL)
|
||||
BN_CTX_free(new_ctx);
|
||||
return ret;
|
||||
}
|
||||
|
||||
|
||||
size_t ec_GFp_simple_point2oct(const EC_GROUP *group, const EC_POINT *point, point_conversion_form_t form,
|
||||
unsigned char *buf, size_t len, BN_CTX *ctx)
|
||||
{
|
||||
size_t ret;
|
||||
BN_CTX *new_ctx = NULL;
|
||||
int used_ctx = 0;
|
||||
BIGNUM *x, *y;
|
||||
size_t field_len, i, skip;
|
||||
|
||||
if ((form != POINT_CONVERSION_COMPRESSED)
|
||||
&& (form != POINT_CONVERSION_UNCOMPRESSED)
|
||||
&& (form != POINT_CONVERSION_HYBRID))
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, EC_R_INVALID_FORM);
|
||||
goto err;
|
||||
}
|
||||
|
||||
if (EC_POINT_is_at_infinity(group, point))
|
||||
{
|
||||
/* encodes to a single 0 octet */
|
||||
if (buf != NULL)
|
||||
{
|
||||
if (len < 1)
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL);
|
||||
return 0;
|
||||
}
|
||||
buf[0] = 0;
|
||||
}
|
||||
return 1;
|
||||
}
|
||||
|
||||
|
||||
/* ret := required output buffer length */
|
||||
field_len = BN_num_bytes(&group->field);
|
||||
ret = (form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2*field_len;
|
||||
|
||||
/* if 'buf' is NULL, just return required length */
|
||||
if (buf != NULL)
|
||||
{
|
||||
if (len < ret)
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL);
|
||||
goto err;
|
||||
}
|
||||
|
||||
if (ctx == NULL)
|
||||
{
|
||||
ctx = new_ctx = BN_CTX_new();
|
||||
if (ctx == NULL)
|
||||
return 0;
|
||||
}
|
||||
|
||||
BN_CTX_start(ctx);
|
||||
used_ctx = 1;
|
||||
x = BN_CTX_get(ctx);
|
||||
y = BN_CTX_get(ctx);
|
||||
if (y == NULL) goto err;
|
||||
|
||||
if (!EC_POINT_get_affine_coordinates_GFp(group, point, x, y, ctx)) goto err;
|
||||
|
||||
if ((form == POINT_CONVERSION_COMPRESSED || form == POINT_CONVERSION_HYBRID) && BN_is_odd(y))
|
||||
buf[0] = form + 1;
|
||||
else
|
||||
buf[0] = form;
|
||||
|
||||
i = 1;
|
||||
|
||||
skip = field_len - BN_num_bytes(x);
|
||||
if (skip > field_len)
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
|
||||
goto err;
|
||||
}
|
||||
while (skip > 0)
|
||||
{
|
||||
buf[i++] = 0;
|
||||
skip--;
|
||||
}
|
||||
skip = BN_bn2bin(x, buf + i);
|
||||
i += skip;
|
||||
if (i != 1 + field_len)
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
|
||||
goto err;
|
||||
}
|
||||
|
||||
if (form == POINT_CONVERSION_UNCOMPRESSED || form == POINT_CONVERSION_HYBRID)
|
||||
{
|
||||
skip = field_len - BN_num_bytes(y);
|
||||
if (skip > field_len)
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
|
||||
goto err;
|
||||
}
|
||||
while (skip > 0)
|
||||
{
|
||||
buf[i++] = 0;
|
||||
skip--;
|
||||
}
|
||||
skip = BN_bn2bin(y, buf + i);
|
||||
i += skip;
|
||||
}
|
||||
|
||||
if (i != ret)
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
|
||||
goto err;
|
||||
}
|
||||
}
|
||||
|
||||
if (used_ctx)
|
||||
BN_CTX_end(ctx);
|
||||
if (new_ctx != NULL)
|
||||
BN_CTX_free(new_ctx);
|
||||
return ret;
|
||||
|
||||
err:
|
||||
if (used_ctx)
|
||||
BN_CTX_end(ctx);
|
||||
if (new_ctx != NULL)
|
||||
BN_CTX_free(new_ctx);
|
||||
return 0;
|
||||
}
|
||||
|
||||
|
||||
int ec_GFp_simple_oct2point(const EC_GROUP *group, EC_POINT *point,
|
||||
const unsigned char *buf, size_t len, BN_CTX *ctx)
|
||||
{
|
||||
point_conversion_form_t form;
|
||||
int y_bit;
|
||||
BN_CTX *new_ctx = NULL;
|
||||
BIGNUM *x, *y;
|
||||
size_t field_len, enc_len;
|
||||
int ret = 0;
|
||||
|
||||
if (len == 0)
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_BUFFER_TOO_SMALL);
|
||||
return 0;
|
||||
}
|
||||
form = buf[0];
|
||||
y_bit = form & 1;
|
||||
form = form & ~1U;
|
||||
if ((form != 0) && (form != POINT_CONVERSION_COMPRESSED)
|
||||
&& (form != POINT_CONVERSION_UNCOMPRESSED)
|
||||
&& (form != POINT_CONVERSION_HYBRID))
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
|
||||
return 0;
|
||||
}
|
||||
if ((form == 0 || form == POINT_CONVERSION_UNCOMPRESSED) && y_bit)
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
|
||||
return 0;
|
||||
}
|
||||
|
||||
if (form == 0)
|
||||
{
|
||||
if (len != 1)
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
|
||||
return 0;
|
||||
}
|
||||
|
||||
return EC_POINT_set_to_infinity(group, point);
|
||||
}
|
||||
|
||||
field_len = BN_num_bytes(&group->field);
|
||||
enc_len = (form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2*field_len;
|
||||
|
||||
if (len != enc_len)
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
|
||||
return 0;
|
||||
}
|
||||
|
||||
if (ctx == NULL)
|
||||
{
|
||||
ctx = new_ctx = BN_CTX_new();
|
||||
if (ctx == NULL)
|
||||
return 0;
|
||||
}
|
||||
|
||||
BN_CTX_start(ctx);
|
||||
x = BN_CTX_get(ctx);
|
||||
y = BN_CTX_get(ctx);
|
||||
if (y == NULL) goto err;
|
||||
|
||||
if (!BN_bin2bn(buf + 1, field_len, x)) goto err;
|
||||
if (BN_ucmp(x, &group->field) >= 0)
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
|
||||
goto err;
|
||||
}
|
||||
|
||||
if (form == POINT_CONVERSION_COMPRESSED)
|
||||
{
|
||||
if (!EC_POINT_set_compressed_coordinates_GFp(group, point, x, y_bit, ctx)) goto err;
|
||||
}
|
||||
else
|
||||
{
|
||||
if (!BN_bin2bn(buf + 1 + field_len, field_len, y)) goto err;
|
||||
if (BN_ucmp(y, &group->field) >= 0)
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
|
||||
goto err;
|
||||
}
|
||||
if (form == POINT_CONVERSION_HYBRID)
|
||||
{
|
||||
if (y_bit != BN_is_odd(y))
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
|
||||
goto err;
|
||||
}
|
||||
}
|
||||
|
||||
if (!EC_POINT_set_affine_coordinates_GFp(group, point, x, y, ctx)) goto err;
|
||||
}
|
||||
|
||||
if (!EC_POINT_is_on_curve(group, point, ctx)) /* test required by X9.62 */
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_POINT_IS_NOT_ON_CURVE);
|
||||
goto err;
|
||||
}
|
||||
|
||||
ret = 1;
|
||||
|
||||
err:
|
||||
BN_CTX_end(ctx);
|
||||
if (new_ctx != NULL)
|
||||
BN_CTX_free(new_ctx);
|
||||
return ret;
|
||||
}
|
||||
|
@ -62,6 +62,8 @@
|
||||
* and contributed to the OpenSSL project.
|
||||
*/
|
||||
|
||||
#define OPENSSL_FIPSAPI
|
||||
|
||||
#include <openssl/err.h>
|
||||
#include <openssl/symhacks.h>
|
||||
|
||||
@ -70,6 +72,7 @@
|
||||
const EC_METHOD *EC_GFp_simple_method(void)
|
||||
{
|
||||
static const EC_METHOD ret = {
|
||||
EC_FLAGS_DEFAULT_OCT,
|
||||
NID_X9_62_prime_field,
|
||||
ec_GFp_simple_group_init,
|
||||
ec_GFp_simple_group_finish,
|
||||
@ -88,9 +91,7 @@ const EC_METHOD *EC_GFp_simple_method(void)
|
||||
ec_GFp_simple_get_Jprojective_coordinates_GFp,
|
||||
ec_GFp_simple_point_set_affine_coordinates,
|
||||
ec_GFp_simple_point_get_affine_coordinates,
|
||||
ec_GFp_simple_set_compressed_coordinates,
|
||||
ec_GFp_simple_point2oct,
|
||||
ec_GFp_simple_oct2point,
|
||||
0,0,0,
|
||||
ec_GFp_simple_add,
|
||||
ec_GFp_simple_dbl,
|
||||
ec_GFp_simple_invert,
|
||||
@ -633,372 +634,6 @@ int ec_GFp_simple_point_get_affine_coordinates(const EC_GROUP *group, const EC_P
|
||||
return ret;
|
||||
}
|
||||
|
||||
|
||||
int ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *group, EC_POINT *point,
|
||||
const BIGNUM *x_, int y_bit, BN_CTX *ctx)
|
||||
{
|
||||
BN_CTX *new_ctx = NULL;
|
||||
BIGNUM *tmp1, *tmp2, *x, *y;
|
||||
int ret = 0;
|
||||
|
||||
/* clear error queue*/
|
||||
ERR_clear_error();
|
||||
|
||||
if (ctx == NULL)
|
||||
{
|
||||
ctx = new_ctx = BN_CTX_new();
|
||||
if (ctx == NULL)
|
||||
return 0;
|
||||
}
|
||||
|
||||
y_bit = (y_bit != 0);
|
||||
|
||||
BN_CTX_start(ctx);
|
||||
tmp1 = BN_CTX_get(ctx);
|
||||
tmp2 = BN_CTX_get(ctx);
|
||||
x = BN_CTX_get(ctx);
|
||||
y = BN_CTX_get(ctx);
|
||||
if (y == NULL) goto err;
|
||||
|
||||
/* Recover y. We have a Weierstrass equation
|
||||
* y^2 = x^3 + a*x + b,
|
||||
* so y is one of the square roots of x^3 + a*x + b.
|
||||
*/
|
||||
|
||||
/* tmp1 := x^3 */
|
||||
if (!BN_nnmod(x, x_, &group->field,ctx)) goto err;
|
||||
if (group->meth->field_decode == 0)
|
||||
{
|
||||
/* field_{sqr,mul} work on standard representation */
|
||||
if (!group->meth->field_sqr(group, tmp2, x_, ctx)) goto err;
|
||||
if (!group->meth->field_mul(group, tmp1, tmp2, x_, ctx)) goto err;
|
||||
}
|
||||
else
|
||||
{
|
||||
if (!BN_mod_sqr(tmp2, x_, &group->field, ctx)) goto err;
|
||||
if (!BN_mod_mul(tmp1, tmp2, x_, &group->field, ctx)) goto err;
|
||||
}
|
||||
|
||||
/* tmp1 := tmp1 + a*x */
|
||||
if (group->a_is_minus3)
|
||||
{
|
||||
if (!BN_mod_lshift1_quick(tmp2, x, &group->field)) goto err;
|
||||
if (!BN_mod_add_quick(tmp2, tmp2, x, &group->field)) goto err;
|
||||
if (!BN_mod_sub_quick(tmp1, tmp1, tmp2, &group->field)) goto err;
|
||||
}
|
||||
else
|
||||
{
|
||||
if (group->meth->field_decode)
|
||||
{
|
||||
if (!group->meth->field_decode(group, tmp2, &group->a, ctx)) goto err;
|
||||
if (!BN_mod_mul(tmp2, tmp2, x, &group->field, ctx)) goto err;
|
||||
}
|
||||
else
|
||||
{
|
||||
/* field_mul works on standard representation */
|
||||
if (!group->meth->field_mul(group, tmp2, &group->a, x, ctx)) goto err;
|
||||
}
|
||||
|
||||
if (!BN_mod_add_quick(tmp1, tmp1, tmp2, &group->field)) goto err;
|
||||
}
|
||||
|
||||
/* tmp1 := tmp1 + b */
|
||||
if (group->meth->field_decode)
|
||||
{
|
||||
if (!group->meth->field_decode(group, tmp2, &group->b, ctx)) goto err;
|
||||
if (!BN_mod_add_quick(tmp1, tmp1, tmp2, &group->field)) goto err;
|
||||
}
|
||||
else
|
||||
{
|
||||
if (!BN_mod_add_quick(tmp1, tmp1, &group->b, &group->field)) goto err;
|
||||
}
|
||||
|
||||
if (!BN_mod_sqrt(y, tmp1, &group->field, ctx))
|
||||
{
|
||||
unsigned long err = ERR_peek_last_error();
|
||||
|
||||
if (ERR_GET_LIB(err) == ERR_LIB_BN && ERR_GET_REASON(err) == BN_R_NOT_A_SQUARE)
|
||||
{
|
||||
ERR_clear_error();
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, EC_R_INVALID_COMPRESSED_POINT);
|
||||
}
|
||||
else
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, ERR_R_BN_LIB);
|
||||
goto err;
|
||||
}
|
||||
|
||||
if (y_bit != BN_is_odd(y))
|
||||
{
|
||||
if (BN_is_zero(y))
|
||||
{
|
||||
int kron;
|
||||
|
||||
kron = BN_kronecker(x, &group->field, ctx);
|
||||
if (kron == -2) goto err;
|
||||
|
||||
if (kron == 1)
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, EC_R_INVALID_COMPRESSION_BIT);
|
||||
else
|
||||
/* BN_mod_sqrt() should have cought this error (not a square) */
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, EC_R_INVALID_COMPRESSED_POINT);
|
||||
goto err;
|
||||
}
|
||||
if (!BN_usub(y, &group->field, y)) goto err;
|
||||
}
|
||||
if (y_bit != BN_is_odd(y))
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, ERR_R_INTERNAL_ERROR);
|
||||
goto err;
|
||||
}
|
||||
|
||||
if (!EC_POINT_set_affine_coordinates_GFp(group, point, x, y, ctx)) goto err;
|
||||
|
||||
ret = 1;
|
||||
|
||||
err:
|
||||
BN_CTX_end(ctx);
|
||||
if (new_ctx != NULL)
|
||||
BN_CTX_free(new_ctx);
|
||||
return ret;
|
||||
}
|
||||
|
||||
|
||||
size_t ec_GFp_simple_point2oct(const EC_GROUP *group, const EC_POINT *point, point_conversion_form_t form,
|
||||
unsigned char *buf, size_t len, BN_CTX *ctx)
|
||||
{
|
||||
size_t ret;
|
||||
BN_CTX *new_ctx = NULL;
|
||||
int used_ctx = 0;
|
||||
BIGNUM *x, *y;
|
||||
size_t field_len, i, skip;
|
||||
|
||||
if ((form != POINT_CONVERSION_COMPRESSED)
|
||||
&& (form != POINT_CONVERSION_UNCOMPRESSED)
|
||||
&& (form != POINT_CONVERSION_HYBRID))
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, EC_R_INVALID_FORM);
|
||||
goto err;
|
||||
}
|
||||
|
||||
if (EC_POINT_is_at_infinity(group, point))
|
||||
{
|
||||
/* encodes to a single 0 octet */
|
||||
if (buf != NULL)
|
||||
{
|
||||
if (len < 1)
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL);
|
||||
return 0;
|
||||
}
|
||||
buf[0] = 0;
|
||||
}
|
||||
return 1;
|
||||
}
|
||||
|
||||
|
||||
/* ret := required output buffer length */
|
||||
field_len = BN_num_bytes(&group->field);
|
||||
ret = (form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2*field_len;
|
||||
|
||||
/* if 'buf' is NULL, just return required length */
|
||||
if (buf != NULL)
|
||||
{
|
||||
if (len < ret)
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL);
|
||||
goto err;
|
||||
}
|
||||
|
||||
if (ctx == NULL)
|
||||
{
|
||||
ctx = new_ctx = BN_CTX_new();
|
||||
if (ctx == NULL)
|
||||
return 0;
|
||||
}
|
||||
|
||||
BN_CTX_start(ctx);
|
||||
used_ctx = 1;
|
||||
x = BN_CTX_get(ctx);
|
||||
y = BN_CTX_get(ctx);
|
||||
if (y == NULL) goto err;
|
||||
|
||||
if (!EC_POINT_get_affine_coordinates_GFp(group, point, x, y, ctx)) goto err;
|
||||
|
||||
if ((form == POINT_CONVERSION_COMPRESSED || form == POINT_CONVERSION_HYBRID) && BN_is_odd(y))
|
||||
buf[0] = form + 1;
|
||||
else
|
||||
buf[0] = form;
|
||||
|
||||
i = 1;
|
||||
|
||||
skip = field_len - BN_num_bytes(x);
|
||||
if (skip > field_len)
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
|
||||
goto err;
|
||||
}
|
||||
while (skip > 0)
|
||||
{
|
||||
buf[i++] = 0;
|
||||
skip--;
|
||||
}
|
||||
skip = BN_bn2bin(x, buf + i);
|
||||
i += skip;
|
||||
if (i != 1 + field_len)
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
|
||||
goto err;
|
||||
}
|
||||
|
||||
if (form == POINT_CONVERSION_UNCOMPRESSED || form == POINT_CONVERSION_HYBRID)
|
||||
{
|
||||
skip = field_len - BN_num_bytes(y);
|
||||
if (skip > field_len)
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
|
||||
goto err;
|
||||
}
|
||||
while (skip > 0)
|
||||
{
|
||||
buf[i++] = 0;
|
||||
skip--;
|
||||
}
|
||||
skip = BN_bn2bin(y, buf + i);
|
||||
i += skip;
|
||||
}
|
||||
|
||||
if (i != ret)
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
|
||||
goto err;
|
||||
}
|
||||
}
|
||||
|
||||
if (used_ctx)
|
||||
BN_CTX_end(ctx);
|
||||
if (new_ctx != NULL)
|
||||
BN_CTX_free(new_ctx);
|
||||
return ret;
|
||||
|
||||
err:
|
||||
if (used_ctx)
|
||||
BN_CTX_end(ctx);
|
||||
if (new_ctx != NULL)
|
||||
BN_CTX_free(new_ctx);
|
||||
return 0;
|
||||
}
|
||||
|
||||
|
||||
int ec_GFp_simple_oct2point(const EC_GROUP *group, EC_POINT *point,
|
||||
const unsigned char *buf, size_t len, BN_CTX *ctx)
|
||||
{
|
||||
point_conversion_form_t form;
|
||||
int y_bit;
|
||||
BN_CTX *new_ctx = NULL;
|
||||
BIGNUM *x, *y;
|
||||
size_t field_len, enc_len;
|
||||
int ret = 0;
|
||||
|
||||
if (len == 0)
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_BUFFER_TOO_SMALL);
|
||||
return 0;
|
||||
}
|
||||
form = buf[0];
|
||||
y_bit = form & 1;
|
||||
form = form & ~1U;
|
||||
if ((form != 0) && (form != POINT_CONVERSION_COMPRESSED)
|
||||
&& (form != POINT_CONVERSION_UNCOMPRESSED)
|
||||
&& (form != POINT_CONVERSION_HYBRID))
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
|
||||
return 0;
|
||||
}
|
||||
if ((form == 0 || form == POINT_CONVERSION_UNCOMPRESSED) && y_bit)
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
|
||||
return 0;
|
||||
}
|
||||
|
||||
if (form == 0)
|
||||
{
|
||||
if (len != 1)
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
|
||||
return 0;
|
||||
}
|
||||
|
||||
return EC_POINT_set_to_infinity(group, point);
|
||||
}
|
||||
|
||||
field_len = BN_num_bytes(&group->field);
|
||||
enc_len = (form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2*field_len;
|
||||
|
||||
if (len != enc_len)
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
|
||||
return 0;
|
||||
}
|
||||
|
||||
if (ctx == NULL)
|
||||
{
|
||||
ctx = new_ctx = BN_CTX_new();
|
||||
if (ctx == NULL)
|
||||
return 0;
|
||||
}
|
||||
|
||||
BN_CTX_start(ctx);
|
||||
x = BN_CTX_get(ctx);
|
||||
y = BN_CTX_get(ctx);
|
||||
if (y == NULL) goto err;
|
||||
|
||||
if (!BN_bin2bn(buf + 1, field_len, x)) goto err;
|
||||
if (BN_ucmp(x, &group->field) >= 0)
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
|
||||
goto err;
|
||||
}
|
||||
|
||||
if (form == POINT_CONVERSION_COMPRESSED)
|
||||
{
|
||||
if (!EC_POINT_set_compressed_coordinates_GFp(group, point, x, y_bit, ctx)) goto err;
|
||||
}
|
||||
else
|
||||
{
|
||||
if (!BN_bin2bn(buf + 1 + field_len, field_len, y)) goto err;
|
||||
if (BN_ucmp(y, &group->field) >= 0)
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
|
||||
goto err;
|
||||
}
|
||||
if (form == POINT_CONVERSION_HYBRID)
|
||||
{
|
||||
if (y_bit != BN_is_odd(y))
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
|
||||
goto err;
|
||||
}
|
||||
}
|
||||
|
||||
if (!EC_POINT_set_affine_coordinates_GFp(group, point, x, y, ctx)) goto err;
|
||||
}
|
||||
|
||||
if (!EC_POINT_is_on_curve(group, point, ctx)) /* test required by X9.62 */
|
||||
{
|
||||
ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_POINT_IS_NOT_ON_CURVE);
|
||||
goto err;
|
||||
}
|
||||
|
||||
ret = 1;
|
||||
|
||||
err:
|
||||
BN_CTX_end(ctx);
|
||||
if (new_ctx != NULL)
|
||||
BN_CTX_free(new_ctx);
|
||||
return ret;
|
||||
}
|
||||
|
||||
|
||||
int ec_GFp_simple_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx)
|
||||
{
|
||||
int (*field_mul)(const EC_GROUP *, BIGNUM *, const BIGNUM *, const BIGNUM *, BN_CTX *);
|
||||
|
Loading…
Reference in New Issue
Block a user