提交 7793f30e 编写于 作者: B Bodo Möller

add support for elliptic curves over binary fields

Submitted by: Duglas Stebila <douglas.stebila@sun.com>,
              Sheueling Chang <sheueling.chang@sun.com>

(CHANGES entries by Bodo Moeller)
上级 714df32e
......@@ -4,6 +4,70 @@
Changes between 0.9.7 and 0.9.8 [xx XXX 2002]
*) Add named elliptic curves over binary fields from X9.62, SECG,
and WAP/WTLS; add OIDs that were still missing.
[Sheueling Chang Shantz and Douglas Stebila
(Sun Microsystems Laboratories)]
*) Extend the EC library for elliptic curves over binary fields
(new files ec2_smpl.c, ec2_smpt.c, ec2_mult.c in crypto/ec/).
New EC_METHOD:
EC_GF2m_simple_method
New API functions:
EC_GROUP_new_curve_GF2m
EC_GROUP_set_curve_GF2m
EC_GROUP_get_curve_GF2m
EC_POINT_set_Jprojective_coordinates_GF2m
EC_POINT_get_Jprojective_coordinates_GF2m
EC_POINT_set_affine_coordinates_GF2m
EC_POINT_get_affine_coordinates_GF2m
EC_POINT_set_compressed_coordinates_GF2m
Point compression for binary fields is disabled by default for
patent reasons (compile with OPENSSL_EC_BIN_PT_COMP defined to
enable it).
As binary polynomials are represented as BIGNUMs, various members
of the EC_GROUP and EC_POINT data structures can be shared
between the implementations for prime fields and binary fields;
the above ..._GF2m functions (except for EX_GROUP_new_curve_GF2m)
are essentially identical to their ..._GFp counterparts.
(For simplicity, '..._GFp' prefix has been dropped from various
internal method names.)
An internal 'field_div' method (similar to 'field_mul' and
'field_sqr') has been added; this is used only for binary fields.
[Sheueling Chang Shantz and Douglas Stebila
(Sun Microsystems Laboratories)]
*) Optionally dispatch EC_PONT_mul(), EC_POINT_precompute_mult()
through methods ('mul', 'precompute_mult').
The generic implementations (now internally called 'ec_wNAF_mul'
and 'ec_wNAF_precomputed_mult') remain the default if these
methods are undefined.
[Sheueling Chang Shantz and Douglas Stebila
(Sun Microsystems Laboratories)]
*) New function EC_GROUP_get_degree, which is defined through
EC_METHOD. For curves over prime fields, this returns the bit
length of the modulus.
[Sheueling Chang Shantz and Douglas Stebila
(Sun Microsystems Laboratories)]
*) New functions EC_GROUP_dup, EC_POINT_dup.
(These simply call ..._new and ..._copy).
[Sheueling Chang Shantz and Douglas Stebila
(Sun Microsystems Laboratories)]
*) Add binary polynomial arithmetic software in crypto/bn/bn_gf2m.c.
Polynomials are represented as BIGNUMs (where the sign bit is not
used) in the following functions [macros]:
......@@ -56,9 +120,6 @@ TBD ... OPENSSL_NO_SUN_DIV ... --Bodo
[Sheueling Chang Shantz and Douglas Stebila
(Sun Microsystems Laboratories)]
*) Add more WAP/WTLS elliptic curve OIDs.
[Douglas Stebila <douglas.stebila@sun.com>]
*) Add new error code 'ERR_R_DISABLED' that can be used when some
functionality is disabled at compile-time.
[Douglas Stebila <douglas.stebila@sun.com>]
......
......@@ -24,10 +24,10 @@ APPS=
LIB=$(TOP)/libcrypto.a
LIBSRC= ec_lib.c ecp_smpl.c ecp_mont.c ecp_recp.c ecp_nist.c ec_cvt.c ec_mult.c \
ec_err.c ec_curve.c ec_check.c ec_print.c ec_asn1.c
ec_err.c ec_curve.c ec_check.c ec_print.c ec_asn1.c ec2_smpl.c ec2_mult.c
LIBOBJ= ec_lib.o ecp_smpl.o ecp_mont.o ecp_recp.o ecp_nist.o ec_cvt.o ec_mult.o \
ec_err.o ec_curve.o ec_check.o ec_print.o ec_asn1.o
ec_err.o ec_curve.o ec_check.o ec_print.o ec_asn1.o ec2_smpl.o ec2_mult.o
SRC= $(LIBSRC)
......@@ -176,3 +176,17 @@ ecp_smpl.o: ../../include/openssl/obj_mac.h ../../include/openssl/opensslconf.h
ecp_smpl.o: ../../include/openssl/opensslv.h ../../include/openssl/ossl_typ.h
ecp_smpl.o: ../../include/openssl/safestack.h ../../include/openssl/stack.h
ecp_smpl.o: ../../include/openssl/symhacks.h ec_lcl.h ecp_smpl.c
ec2_smpl.o: ../../include/openssl/bio.h ../../include/openssl/bn.h
ec2_smpl.o: ../../include/openssl/crypto.h ../../include/openssl/e_os2.h
ec2_smpl.o: ../../include/openssl/ec.h ../../include/openssl/err.h
ec2_smpl.o: ../../include/openssl/lhash.h ../../include/openssl/opensslconf.h
ec2_smpl.o: ../../include/openssl/opensslv.h ../../include/openssl/safestack.h
ec2_smpl.o: ../../include/openssl/stack.h ../../include/openssl/symhacks.h
ec2_smpl.o: ec_lcl.h ec2_smpl.c ec2_smpt.c
ec2_mult.o: ../../include/openssl/bio.h ../../include/openssl/bn.h
ec2_mult.o: ../../include/openssl/crypto.h ../../include/openssl/e_os2.h
ec2_mult.o: ../../include/openssl/ec.h ../../include/openssl/err.h
ec2_mult.o: ../../include/openssl/lhash.h ../../include/openssl/opensslconf.h
ec2_mult.o: ../../include/openssl/opensslv.h ../../include/openssl/safestack.h
ec2_mult.o: ../../include/openssl/stack.h ../../include/openssl/symhacks.h
ec2_mult.o: ec_lcl.h ec2_mult.c
......@@ -52,6 +52,32 @@
* Hudson (tjh@cryptsoft.com).
*
*/
/* ====================================================================
* Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
*
* Portions of the attached software ("Contribution") are developed by
* SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
*
* The Contribution is licensed pursuant to the OpenSSL open source
* license provided above.
*
* In addition, Sun covenants to all licensees who provide a reciprocal
* covenant with respect to their own patents if any, not to sue under
* current and future patent claims necessarily infringed by the making,
* using, practicing, selling, offering for sale and/or otherwise
* disposing of the Contribution as delivered hereunder
* (or portions thereof), provided that such covenant shall not apply:
* 1) for code that a licensee deletes from the Contribution;
* 2) separates from the Contribution; or
* 3) for infringements caused by:
* i) the modification of the Contribution or
* ii) the combination of the Contribution with other software or
* devices where such combination causes the infringement.
*
* The elliptic curve binary polynomial software is originally written by
* Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
*
*/
#ifndef HEADER_EC_H
#define HEADER_EC_H
......@@ -103,11 +129,17 @@ const EC_METHOD *EC_GFp_recp_method(void); /* TODO */
const EC_METHOD *EC_GFp_nist_method(void); /* TODO */
#endif
/* EC_METHODs for curves over GF(2^m).
* EC_GF2m_simple_method provides the basis for the optimized methods.
*/
const EC_METHOD *EC_GF2m_simple_method(void);
EC_GROUP *EC_GROUP_new(const EC_METHOD *);
void EC_GROUP_free(EC_GROUP *);
void EC_GROUP_clear_free(EC_GROUP *);
int EC_GROUP_copy(EC_GROUP *, const EC_GROUP *);
EC_GROUP *EC_GROUP_dup(const EC_GROUP *);
const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *);
int EC_METHOD_get_field_type(const EC_METHOD *);
......@@ -130,12 +162,12 @@ unsigned char *EC_GROUP_get0_seed(const EC_GROUP *);
size_t EC_GROUP_get_seed_len(const EC_GROUP *);
size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len);
/* We don't have types for field specifications and field elements in general.
* Otherwise we could declare
* int EC_GROUP_set_curve(EC_GROUP *, .....);
*/
int EC_GROUP_set_curve_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
int EC_GROUP_get_curve_GFp(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
int EC_GROUP_set_curve_GF2m(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
int EC_GROUP_get_curve_GF2m(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
int EC_GROUP_get_degree(const EC_GROUP *);
/* EC_GROUP_check() returns 1 if 'group' defines a valid group, 0 otherwise */
int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx);
......@@ -143,9 +175,10 @@ int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx);
* elliptic curve is not zero, 0 otherwise */
int EC_GROUP_check_discriminant(const EC_GROUP *, BN_CTX *);
/* EC_GROUP_new_GFp() calls EC_GROUP_new() and EC_GROUP_set_GFp()
/* EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*()
* after choosing an appropriate EC_METHOD */
EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
/* EC_GROUP_new_by_nid() and EC_GROUP_new_by_name() also set
* generator and order */
......@@ -181,15 +214,66 @@ EC_GROUP *EC_GROUP_new_by_name(int name);
#define EC_GROUP_SECG_PRIME_384R1 NID_secp384r1
#define EC_GROUP_SECG_PRIME_521R1 NID_secp521r1
#define EC_GROUP_WTLS_6 NID_wap_wsg_idm_ecid_wtls6
#define EC_GROUP_WTLS_7 NID_secp160r1
#define EC_GROUP_WTLS_7 NID_wap_wsg_idm_ecid_wtls7
#define EC_GROUP_WTLS_8 NID_wap_wsg_idm_ecid_wtls8
#define EC_GROUP_WTLS_9 NID_wap_wsg_idm_ecid_wtls9
#define EC_GROUP_WTLS_12 NID_secp224r1
#define EC_GROUP_WTLS_12 NID_wap_wsg_idm_ecid_wtls12
#define EC_GROUP_NIST_CHAR2_K163 NID_sect163k1
#define EC_GROUP_NIST_CHAR2_B163 NID_sect163r2
#define EC_GROUP_NIST_CHAR2_K233 NID_sect233k1
#define EC_GROUP_NIST_CHAR2_B233 NID_sect233r1
#define EC_GROUP_NIST_CHAR2_K283 NID_sect283k1
#define EC_GROUP_NIST_CHAR2_B283 NID_sect283r1
#define EC_GROUP_NIST_CHAR2_K409 NID_sect409k1
#define EC_GROUP_NIST_CHAR2_B409 NID_sect409r1
#define EC_GROUP_NIST_CHAR2_K571 NID_sect571k1
#define EC_GROUP_NIST_CHAR2_B571 NID_sect571r1
#define EC_GROUP_X9_62_CHAR2_163V1 NID_X9_62_c2pnb163v1
#define EC_GROUP_X9_62_CHAR2_163V2 NID_X9_62_c2pnb163v2
#define EC_GROUP_X9_62_CHAR2_163V3 NID_X9_62_c2pnb163v3
#define EC_GROUP_X9_62_CHAR2_176V1 NID_X9_62_c2pnb176v1
#define EC_GROUP_X9_62_CHAR2_191V1 NID_X9_62_c2tnb191v1
#define EC_GROUP_X9_62_CHAR2_191V2 NID_X9_62_c2tnb191v2
#define EC_GROUP_X9_62_CHAR2_191V3 NID_X9_62_c2tnb191v3
#define EC_GROUP_X9_62_CHAR2_208W1 NID_X9_62_c2pnb208w1
#define EC_GROUP_X9_62_CHAR2_239V1 NID_X9_62_c2tnb239v1
#define EC_GROUP_X9_62_CHAR2_239V2 NID_X9_62_c2tnb239v2
#define EC_GROUP_X9_62_CHAR2_239V3 NID_X9_62_c2tnb239v3
#define EC_GROUP_X9_62_CHAR2_272W1 NID_X9_62_c2pnb272w1
#define EC_GROUP_X9_62_CHAR2_304W1 NID_X9_62_c2pnb304w1
#define EC_GROUP_X9_62_CHAR2_359V1 NID_X9_62_c2tnb359v1
#define EC_GROUP_X9_62_CHAR2_368W1 NID_X9_62_c2pnb368w1
#define EC_GROUP_X9_62_CHAR2_431R1 NID_X9_62_c2tnb431r1
#define EC_GROUP_SECG_CHAR2_113R1 NID_sect113r1
#define EC_GROUP_SECG_CHAR2_113R2 NID_sect113r2
#define EC_GROUP_SECG_CHAR2_131R1 NID_sect131r1
#define EC_GROUP_SECG_CHAR2_131R2 NID_sect131r2
#define EC_GROUP_SECG_CHAR2_163K1 NID_sect163k1
#define EC_GROUP_SECG_CHAR2_163R1 NID_sect163r1
#define EC_GROUP_SECG_CHAR2_163R2 NID_sect163r2
#define EC_GROUP_SECG_CHAR2_193R1 NID_sect193r1
#define EC_GROUP_SECG_CHAR2_193R2 NID_sect193r2
#define EC_GROUP_SECG_CHAR2_233K1 NID_sect233k1
#define EC_GROUP_SECG_CHAR2_233R1 NID_sect233r1
#define EC_GROUP_SECG_CHAR2_239K1 NID_sect239k1
#define EC_GROUP_SECG_CHAR2_283K1 NID_sect283k1
#define EC_GROUP_SECG_CHAR2_283R1 NID_sect283r1
#define EC_GROUP_SECG_CHAR2_409K1 NID_sect409k1
#define EC_GROUP_SECG_CHAR2_409R1 NID_sect409r1
#define EC_GROUP_SECG_CHAR2_571K1 NID_sect571k1
#define EC_GROUP_SECG_CHAR2_571R1 NID_sect571r1
#define EC_GROUP_WTLS_1 NID_wap_wsg_idm_ecid_wtls1
#define EC_GROUP_WTLS_3 NID_wap_wsg_idm_ecid_wtls3
#define EC_GROUP_WTLS_4 NID_wap_wsg_idm_ecid_wtls4
#define EC_GROUP_WTLS_5 NID_wap_wsg_idm_ecid_wtls5
#define EC_GROUP_WTLS_10 NID_wap_wsg_idm_ecid_wtls10
#define EC_GROUP_WTLS_11 NID_wap_wsg_idm_ecid_wtls11
EC_POINT *EC_POINT_new(const EC_GROUP *);
void EC_POINT_free(EC_POINT *);
void EC_POINT_clear_free(EC_POINT *);
int EC_POINT_copy(EC_POINT *, const EC_POINT *);
EC_POINT *EC_POINT_dup(const EC_POINT *, const EC_GROUP *);
const EC_METHOD *EC_POINT_method_of(const EC_POINT *);
......@@ -205,6 +289,17 @@ int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *, const EC_POINT *,
int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *, EC_POINT *,
const BIGNUM *x, int y_bit, BN_CTX *);
int EC_POINT_set_Jprojective_coordinates_GF2m(const EC_GROUP *, EC_POINT *,
const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *);
int EC_POINT_get_Jprojective_coordinates_GF2m(const EC_GROUP *, const EC_POINT *,
BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *);
int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *, EC_POINT *,
const BIGNUM *x, const BIGNUM *y, BN_CTX *);
int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *, const EC_POINT *,
BIGNUM *x, BIGNUM *y, BN_CTX *);
int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *, EC_POINT *,
const BIGNUM *x, int y_bit, BN_CTX *);
size_t EC_POINT_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form,
unsigned char *buf, size_t len, BN_CTX *);
int EC_POINT_oct2point(const EC_GROUP *, EC_POINT *,
......@@ -309,6 +404,12 @@ void ERR_load_EC_strings(void);
#define EC_F_EC_ASN1_GROUP2PKPARAMETERS 162
#define EC_F_EC_ASN1_PARAMETERS2GROUP 157
#define EC_F_EC_ASN1_PKPARAMETERS2GROUP 163
#define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT 168
#define EC_F_EC_GF2M_SIMPLE_OCT2POINT 169
#define EC_F_EC_GF2M_SIMPLE_POINT2OCT 170
#define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES_GF2M 171
#define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES_GF2M 172
#define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES_GF2M 185
#define EC_F_EC_GFP_MONT_FIELD_DECODE 133
#define EC_F_EC_GFP_MONT_FIELD_ENCODE 134
#define EC_F_EC_GFP_MONT_FIELD_MUL 131
......@@ -328,15 +429,19 @@ void ERR_load_EC_strings(void);
#define EC_F_EC_GROUP_COPY 106
#define EC_F_EC_GROUP_GET0_GENERATOR 139
#define EC_F_EC_GROUP_GET_COFACTOR 140
#define EC_F_EC_GROUP_GET_CURVE_GF2M 173
#define EC_F_EC_GROUP_GET_CURVE_GFP 130
#define EC_F_EC_GROUP_GET_DEGREE 174
#define EC_F_EC_GROUP_GET_EXTRA_DATA 107
#define EC_F_EC_GROUP_GET_ORDER 141
#define EC_F_EC_GROUP_GROUP2NID 147
#define EC_F_EC_GROUP_NEW 108
#define EC_F_EC_GROUP_NEW_BY_NAME 144
#define EC_F_EC_GROUP_NEW_BY_NID 146
#define EC_F_EC_GROUP_NEW_GF2M_FROM_HEX 175
#define EC_F_EC_GROUP_NEW_GFP_FROM_HEX 148
#define EC_F_EC_GROUP_PRECOMPUTE_MULT 142
#define EC_F_EC_GROUP_SET_CURVE_GF2M 176
#define EC_F_EC_GROUP_SET_CURVE_GFP 109
#define EC_F_EC_GROUP_SET_EXTRA_DATA 110
#define EC_F_EC_GROUP_SET_GENERATOR 111
......@@ -346,18 +451,26 @@ void ERR_load_EC_strings(void);
#define EC_F_EC_POINT_CMP 113
#define EC_F_EC_POINT_COPY 114
#define EC_F_EC_POINT_DBL 115
#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M 177
#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116
#define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GF2M 178
#define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117
#define EC_F_EC_POINT_IS_AT_INFINITY 118
#define EC_F_EC_POINT_IS_ON_CURVE 119
#define EC_F_EC_POINT_MAKE_AFFINE 120
#define EC_F_EC_POINT_MUL 179
#define EC_F_EC_POINT_NEW 121
#define EC_F_EC_POINT_OCT2POINT 122
#define EC_F_EC_POINT_POINT2OCT 123
#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M 180
#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124
#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M 181
#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125
#define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GF2M 182
#define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126
#define EC_F_EC_POINT_SET_TO_INFINITY 127
#define EC_F_EC_WNAF_MUL 183
#define EC_F_EC_WNAF_PRECOMPUTE_MULT 184
#define EC_F_GFP_MONT_GROUP_SET_CURVE_GFP 135
#define EC_F_I2D_ECDSAPARAMETERS 158
#define EC_F_I2D_ECPARAMETERS 164
......
/* crypto/ec/ec2_mult.c */
/* ====================================================================
* Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
*
* The Elliptic Curve Public-Key Crypto Library (ECC Code) included
* herein is developed by SUN MICROSYSTEMS, INC., and is contributed
* to the OpenSSL project.
*
* The ECC Code is licensed pursuant to the OpenSSL open source
* license provided below.
*
* In addition, Sun covenants to all licensees who provide a reciprocal
* covenant with respect to their own patents if any, not to sue under
* current and future patent claims necessarily infringed by the making,
* using, practicing, selling, offering for sale and/or otherwise
* disposing of the ECC Code as delivered hereunder (or portions thereof),
* provided that such covenant shall not apply:
* 1) for code that a licensee deletes from the ECC Code;
* 2) separates from the ECC Code; or
* 3) for infringements caused by:
* i) the modification of the ECC Code or
* ii) the combination of the ECC Code with other software or
* devices where such combination causes the infringement.
*
* The software is originally written by Sheueling Chang Shantz and
* Douglas Stebila of Sun Microsystems Laboratories.
*
*/
/* ====================================================================
* 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).
*
*/
#include <openssl/err.h>
#include "ec_lcl.h"
/* Compute the x-coordinate x/z for the point 2*(x/z) in Montgomery projective
* coordinates.
* Uses algorithm Mdouble in appendix of
* Lopez, J. and Dahab, R. "Fast multiplication on elliptic curves over
* GF(2^m) without precomputation".
* modified to not require precomputation of c=b^{2^{m-1}}.
*/
static int Mdouble(const EC_GROUP *group, BIGNUM *x, BIGNUM *z, BN_CTX *ctx)
{
BIGNUM *t1;
int ret = 0;
/* Since Mdouble is static we can guarantee that ctx != NULL. */
BN_CTX_start(ctx);
t1 = BN_CTX_get(ctx);
if (t1 == NULL) goto err;
if (!group->meth->field_sqr(group, x, x, ctx)) goto err;
if (!group->meth->field_sqr(group, t1, z, ctx)) goto err;
if (!group->meth->field_mul(group, z, x, t1, ctx)) goto err;
if (!group->meth->field_sqr(group, x, x, ctx)) goto err;
if (!group->meth->field_sqr(group, t1, t1, ctx)) goto err;
if (!group->meth->field_mul(group, t1, &group->b, t1, ctx)) goto err;
if (!BN_GF2m_add(x, x, t1)) goto err;
ret = 1;
err:
BN_CTX_end(ctx);
return ret;
}
/* Compute the x-coordinate x1/z1 for the point (x1/z1)+(x2/x2) in Montgomery
* projective coordinates.
* Uses algorithm Madd in appendix of
* Lopex, J. and Dahab, R. "Fast multiplication on elliptic curves over
* GF(2^m) without precomputation".
*/
static int Madd(const EC_GROUP *group, const BIGNUM *x, BIGNUM *x1, BIGNUM *z1,
const BIGNUM *x2, const BIGNUM *z2, BN_CTX *ctx)
{
BIGNUM *t1, *t2;
int ret = 0;
/* Since Madd is static we can guarantee that ctx != NULL. */
BN_CTX_start(ctx);
t1 = BN_CTX_get(ctx);
t2 = BN_CTX_get(ctx);
if (t2 == NULL) goto err;
if (!BN_copy(t1, x)) goto err;
if (!group->meth->field_mul(group, x1, x1, z2, ctx)) goto err;
if (!group->meth->field_mul(group, z1, z1, x2, ctx)) goto err;
if (!group->meth->field_mul(group, t2, x1, z1, ctx)) goto err;
if (!BN_GF2m_add(z1, z1, x1)) goto err;
if (!group->meth->field_sqr(group, z1, z1, ctx)) goto err;
if (!group->meth->field_mul(group, x1, z1, t1, ctx)) goto err;
if (!BN_GF2m_add(x1, x1, t2)) goto err;
ret = 1;
err:
BN_CTX_end(ctx);
return ret;
}
/* Compute the affine coordinates x2, y2=z2 for the point (x1/z1) and (x2/x2) in
* Montgomery projective coordinates.
* Uses algorithm Mxy in appendix of
* Lopex, J. and Dahab, R. "Fast multiplication on elliptic curves over
* GF(2^m) without precomputation".
* Returns:
* 0 on error
* 1 if return value should be the point at infinity
* 2 otherwise
*/
static int Mxy(const EC_GROUP *group, const BIGNUM *x, const BIGNUM *y, BIGNUM *x1,
BIGNUM *z1, BIGNUM *x2, BIGNUM *z2, BN_CTX *ctx)
{
BIGNUM *t3, *t4, *t5;
int ret = 0;
if (BN_is_zero(z1))
{
if (!BN_zero(x2)) return 0;
if (!BN_zero(z2)) return 0;
return 1;
}
if (BN_is_zero(z2))
{
if (!BN_copy(x2, x)) return 0;
if (!BN_GF2m_add(z2, x, y)) return 0;
return 2;
}
/* Since Mxy is static we can guarantee that ctx != NULL. */
BN_CTX_start(ctx);
t3 = BN_CTX_get(ctx);
t4 = BN_CTX_get(ctx);
t5 = BN_CTX_get(ctx);
if (t5 == NULL) goto err;
if (!BN_one(t5)) goto err;
if (!group->meth->field_mul(group, t3, z1, z2, ctx)) goto err;
if (!group->meth->field_mul(group, z1, z1, x, ctx)) goto err;
if (!BN_GF2m_add(z1, z1, x1)) goto err;
if (!group->meth->field_mul(group, z2, z2, x, ctx)) goto err;
if (!group->meth->field_mul(group, x1, z2, x1, ctx)) goto err;
if (!BN_GF2m_add(z2, z2, x2)) goto err;
if (!group->meth->field_mul(group, z2, z2, z1, ctx)) goto err;
if (!group->meth->field_sqr(group, t4, x, ctx)) goto err;
if (!BN_GF2m_add(t4, t4, y)) goto err;
if (!group->meth->field_mul(group, t4, t4, t3, ctx)) goto err;
if (!BN_GF2m_add(t4, t4, z2)) goto err;
if (!group->meth->field_mul(group, t3, t3, x, ctx)) goto err;
if (!group->meth->field_div(group, t3, t5, t3, ctx)) goto err;
if (!group->meth->field_mul(group, t4, t3, t4, ctx)) goto err;
if (!group->meth->field_mul(group, x2, x1, t3, ctx)) goto err;
if (!BN_GF2m_add(z2, x2, x)) goto err;
if (!group->meth->field_mul(group, z2, z2, t4, ctx)) goto err;
if (!BN_GF2m_add(z2, z2, y)) goto err;
ret = 2;
err:
BN_CTX_end(ctx);
return ret;
}
/* Computes scalar*point and stores the result in r.
* point can not equal r.
* Uses algorithm 2P of
* Lopex, J. and Dahab, R. "Fast multiplication on elliptic curves over
* GF(2^m) without precomputation".
*/
static int point_multiply(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
const EC_POINT *point, BN_CTX *ctx)
{
BIGNUM *x1, *x2, *z1, *z2;
int ret = 0, i, j;
BN_ULONG mask;
if (r == point)
{
ECerr(EC_F_EC_POINT_MUL, EC_R_INVALID_ARGUMENT);
return 0;
}
/* if result should be point at infinity */
if ((scalar == NULL) || BN_is_zero(scalar) || (point == NULL) ||
EC_POINT_is_at_infinity(group, point))
{
return EC_POINT_set_to_infinity(group, r);
}
/* only support affine coordinates */
if (!point->Z_is_one) return 0;
/* Since point_multiply is static we can guarantee that ctx != NULL. */
BN_CTX_start(ctx);
x1 = BN_CTX_get(ctx);
z1 = BN_CTX_get(ctx);
if (z1 == NULL) goto err;
x2 = &r->X;
z2 = &r->Y;
if (!BN_GF2m_mod_arr(x1, &point->X, group->poly)) goto err; /* x1 = x */
if (!BN_one(z1)) goto err; /* z1 = 1 */
if (!group->meth->field_sqr(group, z2, x1, ctx)) goto err; /* z2 = x1^2 = x^2 */
if (!group->meth->field_sqr(group, x2, z2, ctx)) goto err;
if (!BN_GF2m_add(x2, x2, &group->b)) goto err; /* x2 = x^4 + b */
/* find top most bit and go one past it */
i = scalar->top - 1; j = BN_BITS2 - 1;
mask = BN_TBIT;
while (!(scalar->d[i] & mask)) { mask >>= 1; j--; }
mask >>= 1; j--;
/* if top most bit was at word break, go to next word */
if (!mask)
{
i--; j = BN_BITS2 - 1;
mask = BN_TBIT;
}
for (; i >= 0; i--)
{
for (; j >= 0; j--)
{
if (scalar->d[i] & mask)
{
if (!Madd(group, &point->X, x1, z1, x2, z2, ctx)) goto err;
if (!Mdouble(group, x2, z2, ctx)) goto err;
}
else
{
if (!Madd(group, &point->X, x2, z2, x1, z1, ctx)) goto err;
if (!Mdouble(group, x1, z1, ctx)) goto err;
}
mask >>= 1;
}
j = BN_BITS2 - 1;
mask = BN_TBIT;
}
/* convert out of "projective" coordinates */
i = Mxy(group, &point->X, &point->Y, x1, z1, x2, z2, ctx);
if (i == 0) goto err;
else if (i == 1)
{
if (!EC_POINT_set_to_infinity(group, r)) goto err;
}
else
{
if (!BN_one(&r->Z)) goto err;
r->Z_is_one = 1;
}
/* GF(2^m) field elements should always have BIGNUM::neg = 0 */
r->X.neg = 0;
r->Y.neg = 0;
ret = 1;
err:
BN_CTX_end(ctx);
return ret;
}
/* Computes the sum
* scalar*group->generator + scalars[0]*points[0] + ... + scalars[num-1]*points[num-1]
* gracefully ignoring NULL scalar values.
*/
int ec_GF2m_mont_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *ctx)
{
BN_CTX *new_ctx = NULL;
int ret = 0, i;
EC_POINT *p=NULL;
if (ctx == NULL)
{
ctx = new_ctx = BN_CTX_new();
if (ctx == NULL)
return 0;
}
/* This implementation is more efficient than the wNAF implementation for 2
* or fewer points. Use the ec_wNAF_mul implementation 3 or more points.
*/
if ((scalar && (num > 1)) || (num > 2))
{
ret = ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx);
goto err;
}
if ((p = EC_POINT_new(group)) == NULL) goto err;
if (!EC_POINT_set_to_infinity(group, r)) goto err;
if (scalar)
{
if (!point_multiply(group, p, scalar, group->generator, ctx)) goto err;
if (scalar->neg) if (!group->meth->invert(group, p, ctx)) goto err;
if (!group->meth->add(group, r, r, p, ctx)) goto err;
}
for (i = 0; i < num; i++)
{
if (!point_multiply(group, p, scalars[i], points[i], ctx)) goto err;
if (scalars[i]->neg) if (!group->meth->invert(group, p, ctx)) goto err;
if (!group->meth->add(group, r, r, p, ctx)) goto err;
}
ret = 1;
err:
if (p) EC_POINT_free(p);
if (new_ctx != NULL)
BN_CTX_free(new_ctx);
return ret;
}
/* Precomputation for point multiplication. */
int ec_GF2m_mont_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
{
/* There is no precomputation to do for Montgomery scalar multiplication but
* since this implementation falls back to the wNAF multiplication for more than
* two points, call the wNAF implementation's precompute.
*/
return ec_wNAF_precompute_mult(group, ctx);
}
此差异已折叠。
/* crypto/ec/ec2_smpt.c */
/* This code was originally written by Douglas Stebila
* <dstebila@student.math.uwaterloo.ca> 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).
*
*/
/* Calaculates 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.
*
* This algorithm is patented by Certicom Corp. under US Patent 6,141,420.
* This function is disabled by default and can be enabled by defining the
* preprocessor macro OPENSSL_EC_BIN_PT_COMP at Configure-time.
*/
int ec_GF2m_simple_set_compressed_coordinates_GF2m(const EC_GROUP *group, EC_POINT *point,
const BIGNUM *x_, int y_bit, BN_CTX *ctx)
{
#ifndef OPENSSL_EC_BIN_PT_COMP
ECerr(EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES_GF2M, ERR_R_DISABLED);
return 0;
#else
BN_CTX *new_ctx = NULL;
BIGNUM *tmp, *x, *y, *z;
int ret = 0, z0;
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)) 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;
#endif
}
此差异已折叠。
......@@ -52,6 +52,32 @@
* Hudson (tjh@cryptsoft.com).
*
*/
/* ====================================================================
* Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
*
* Portions of the attached software ("Contribution") are developed by
* SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
*
* The Contribution is licensed pursuant to the OpenSSL open source
* license provided above.
*
* In addition, Sun covenants to all licensees who provide a reciprocal
* covenant with respect to their own patents if any, not to sue under
* current and future patent claims necessarily infringed by the making,
* using, practicing, selling, offering for sale and/or otherwise
* disposing of the Contribution as delivered hereunder
* (or portions thereof), provided that such covenant shall not apply:
* 1) for code that a licensee deletes from the Contribution;
* 2) separates from the Contribution; or
* 3) for infringements caused by:
* i) the modification of the Contribution or
* ii) the combination of the Contribution with other software or
* devices where such combination causes the infringement.
*
* The elliptic curve binary polynomial software is originally written by
* Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
*
*/
#include "ec_lcl.h"
......@@ -78,3 +104,23 @@ EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM
return ret;
}
EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
{
const EC_METHOD *meth;
EC_GROUP *ret;
meth = EC_GF2m_simple_method();
ret = EC_GROUP_new(meth);
if (ret == NULL)
return NULL;
if (!EC_GROUP_set_curve_GF2m(ret, p, a, b, ctx))
{
EC_GROUP_clear_free(ret);
return NULL;
}
return ret;
}
......@@ -78,6 +78,12 @@ static ERR_STRING_DATA EC_str_functs[]=
{ERR_PACK(0,EC_F_EC_ASN1_GROUP2PKPARAMETERS,0), "EC_ASN1_group2pkparameters"},
{ERR_PACK(0,EC_F_EC_ASN1_PARAMETERS2GROUP,0), "EC_ASN1_PARAMETERS2GROUP"},
{ERR_PACK(0,EC_F_EC_ASN1_PKPARAMETERS2GROUP,0), "EC_ASN1_pkparameters2group"},
{ERR_PACK(0,EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT,0), "ec_GF2m_simple_group_check_discriminant"},
{ERR_PACK(0,EC_F_EC_GF2M_SIMPLE_OCT2POINT,0), "ec_GF2m_simple_oct2point"},
{ERR_PACK(0,EC_F_EC_GF2M_SIMPLE_POINT2OCT,0), "ec_GF2m_simple_point2oct"},
{ERR_PACK(0,EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES_GF2M,0), "ec_GF2m_simple_point_get_affine_coordinates_GF2m"},
{ERR_PACK(0,EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES_GF2M,0), "ec_GF2m_simple_point_set_affine_coordinates_GF2m"},
{ERR_PACK(0,EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES_GF2M,0), "ec_GF2m_simple_set_compressed_coordinates_GF2m"},
{ERR_PACK(0,EC_F_EC_GFP_MONT_FIELD_DECODE,0), "ec_GFp_mont_field_decode"},
{ERR_PACK(0,EC_F_EC_GFP_MONT_FIELD_ENCODE,0), "ec_GFp_mont_field_encode"},
{ERR_PACK(0,EC_F_EC_GFP_MONT_FIELD_MUL,0), "ec_GFp_mont_field_mul"},
......@@ -97,15 +103,19 @@ static ERR_STRING_DATA EC_str_functs[]=
{ERR_PACK(0,EC_F_EC_GROUP_COPY,0), "EC_GROUP_copy"},
{ERR_PACK(0,EC_F_EC_GROUP_GET0_GENERATOR,0), "EC_GROUP_get0_generator"},
{ERR_PACK(0,EC_F_EC_GROUP_GET_COFACTOR,0), "EC_GROUP_get_cofactor"},
{ERR_PACK(0,EC_F_EC_GROUP_GET_CURVE_GF2M,0), "EC_GROUP_get_curve_GF2m"},
{ERR_PACK(0,EC_F_EC_GROUP_GET_CURVE_GFP,0), "EC_GROUP_get_curve_GFp"},
{ERR_PACK(0,EC_F_EC_GROUP_GET_DEGREE,0), "EC_GROUP_get_degree"},
{ERR_PACK(0,EC_F_EC_GROUP_GET_EXTRA_DATA,0), "EC_GROUP_get_extra_data"},
{ERR_PACK(0,EC_F_EC_GROUP_GET_ORDER,0), "EC_GROUP_get_order"},
{ERR_PACK(0,EC_F_EC_GROUP_GROUP2NID,0), "EC_GROUP_GROUP2NID"},
{ERR_PACK(0,EC_F_EC_GROUP_NEW,0), "EC_GROUP_new"},
{ERR_PACK(0,EC_F_EC_GROUP_NEW_BY_NAME,0), "EC_GROUP_new_by_name"},
{ERR_PACK(0,EC_F_EC_GROUP_NEW_BY_NID,0), "EC_GROUP_new_by_nid"},
{ERR_PACK(0,EC_F_EC_GROUP_NEW_GF2M_FROM_HEX,0), "EC_GROUP_NEW_GF2M_FROM_HEX"},
{ERR_PACK(0,EC_F_EC_GROUP_NEW_GFP_FROM_HEX,0), "EC_GROUP_NEW_GFP_FROM_HEX"},
{ERR_PACK(0,EC_F_EC_GROUP_PRECOMPUTE_MULT,0), "EC_GROUP_precompute_mult"},
{ERR_PACK(0,EC_F_EC_GROUP_SET_CURVE_GF2M,0), "EC_GROUP_set_curve_GF2m"},
{ERR_PACK(0,EC_F_EC_GROUP_SET_CURVE_GFP,0), "EC_GROUP_set_curve_GFp"},
{ERR_PACK(0,EC_F_EC_GROUP_SET_EXTRA_DATA,0), "EC_GROUP_set_extra_data"},
{ERR_PACK(0,EC_F_EC_GROUP_SET_GENERATOR,0), "EC_GROUP_set_generator"},
......@@ -115,18 +125,26 @@ static ERR_STRING_DATA EC_str_functs[]=
{ERR_PACK(0,EC_F_EC_POINT_CMP,0), "EC_POINT_cmp"},
{ERR_PACK(0,EC_F_EC_POINT_COPY,0), "EC_POINT_copy"},
{ERR_PACK(0,EC_F_EC_POINT_DBL,0), "EC_POINT_dbl"},
{ERR_PACK(0,EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M,0), "EC_POINT_get_affine_coordinates_GF2m"},
{ERR_PACK(0,EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP,0), "EC_POINT_get_affine_coordinates_GFp"},
{ERR_PACK(0,EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GF2M,0), "EC_POINT_get_Jprojective_coordinates_GF2m"},
{ERR_PACK(0,EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP,0), "EC_POINT_get_Jprojective_coordinates_GFp"},
{ERR_PACK(0,EC_F_EC_POINT_IS_AT_INFINITY,0), "EC_POINT_is_at_infinity"},
{ERR_PACK(0,EC_F_EC_POINT_IS_ON_CURVE,0), "EC_POINT_is_on_curve"},
{ERR_PACK(0,EC_F_EC_POINT_MAKE_AFFINE,0), "EC_POINT_make_affine"},
{ERR_PACK(0,EC_F_EC_POINT_MUL,0), "EC_POINT_mul"},
{ERR_PACK(0,EC_F_EC_POINT_NEW,0), "EC_POINT_new"},
{ERR_PACK(0,EC_F_EC_POINT_OCT2POINT,0), "EC_POINT_oct2point"},
{ERR_PACK(0,EC_F_EC_POINT_POINT2OCT,0), "EC_POINT_point2oct"},
{ERR_PACK(0,EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M,0), "EC_POINT_set_affine_coordinates_GF2m"},
{ERR_PACK(0,EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP,0), "EC_POINT_set_affine_coordinates_GFp"},
{ERR_PACK(0,EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M,0), "EC_POINT_set_compressed_coordinates_GF2m"},
{ERR_PACK(0,EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP,0), "EC_POINT_set_compressed_coordinates_GFp"},
{ERR_PACK(0,EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GF2M,0), "EC_POINT_set_Jprojective_coordinates_GF2m"},
{ERR_PACK(0,EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP,0), "EC_POINT_set_Jprojective_coordinates_GFp"},
{ERR_PACK(0,EC_F_EC_POINT_SET_TO_INFINITY,0), "EC_POINT_set_to_infinity"},
{ERR_PACK(0,EC_F_EC_WNAF_MUL,0), "ec_wNAF_mul"},
{ERR_PACK(0,EC_F_EC_WNAF_PRECOMPUTE_MULT,0), "ec_wNAF_precompute_mult"},
{ERR_PACK(0,EC_F_GFP_MONT_GROUP_SET_CURVE_GFP,0), "GFP_MONT_GROUP_SET_CURVE_GFP"},
{ERR_PACK(0,EC_F_I2D_ECDSAPARAMETERS,0), "i2d_ECDSAParameters"},
{ERR_PACK(0,EC_F_I2D_ECPARAMETERS,0), "i2d_ECParameters"},
......
......@@ -52,6 +52,32 @@
* Hudson (tjh@cryptsoft.com).
*
*/
/* ====================================================================
* Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
*
* Portions of the attached software ("Contribution") are developed by
* SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
*
* The Contribution is licensed pursuant to the OpenSSL open source
* license provided above.
*
* In addition, Sun covenants to all licensees who provide a reciprocal
* covenant with respect to their own patents if any, not to sue under
* current and future patent claims necessarily infringed by the making,
* using, practicing, selling, offering for sale and/or otherwise
* disposing of the Contribution as delivered hereunder
* (or portions thereof), provided that such covenant shall not apply:
* 1) for code that a licensee deletes from the Contribution;
* 2) separates from the Contribution; or
* 3) for infringements caused by:
* i) the modification of the Contribution or
* ii) the combination of the Contribution with other software or
* devices where such combination causes the infringement.
*
* The elliptic curve binary polynomial software is originally written by
* Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
*
*/
#include <stdlib.h>
......@@ -73,9 +99,13 @@ struct ec_method_st {
void (*group_clear_finish)(EC_GROUP *);
int (*group_copy)(EC_GROUP *, const EC_GROUP *);
/* used by EC_GROUP_set_curve_GFp and EC_GROUP_get_curve_GFp: */
int (*group_set_curve_GFp)(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
int (*group_get_curve_GFp)(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
/* used by EC_GROUP_set_curve_GFp, EC_GROUP_get_curve_GFp, */
/* EC_GROUP_set_curve_GF2m, and EC_GROUP_get_curve_GF2m: */
int (*group_set_curve)(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
int (*group_get_curve)(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
/* used by EC_GROUP_get_degree: */
int (*group_get_degree)(const EC_GROUP *);
/* used by EC_GROUP_check: */
int (*group_check_discriminant)(const EC_GROUP *, BN_CTX *);
......@@ -89,18 +119,20 @@ struct ec_method_st {
/* used by EC_POINT_set_to_infinity,
* EC_POINT_set_Jprojective_coordinates_GFp, EC_POINT_get_Jprojective_coordinates_GFp,
* EC_POINT_set_affine_coordinates_GFp, EC_POINT_get_affine_coordinates_GFp,
* EC_POINT_set_compressed_coordinates_GFp:
* EC_POINT_set_compressed_coordinates_GFp, EC_POINT_set_Jprojective_coordinates_GF2m,
* EC_POINT_get_Jprojective_coordinates_GF2m, EC_POINT_set_affine_coordinates_GF2m,
* EC_POINT_get_affine_coordinates_GF2m, and EC_POINT_set_compressed_coordinates_GF2m:
*/
int (*point_set_to_infinity)(const EC_GROUP *, EC_POINT *);
int (*point_set_Jprojective_coordinates_GFp)(const EC_GROUP *, EC_POINT *,
int (*point_set_Jprojective_coordinates)(const EC_GROUP *, EC_POINT *,
const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *);
int (*point_get_Jprojective_coordinates_GFp)(const EC_GROUP *, const EC_POINT *,
int (*point_get_Jprojective_coordinates)(const EC_GROUP *, const EC_POINT *,
BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *);
int (*point_set_affine_coordinates_GFp)(const EC_GROUP *, EC_POINT *,
int (*point_set_affine_coordinates)(const EC_GROUP *, EC_POINT *,
const BIGNUM *x, const BIGNUM *y, BN_CTX *);
int (*point_get_affine_coordinates_GFp)(const EC_GROUP *, const EC_POINT *,
int (*point_get_affine_coordinates)(const EC_GROUP *, const EC_POINT *,
BIGNUM *x, BIGNUM *y, BN_CTX *);
int (*point_set_compressed_coordinates_GFp)(const EC_GROUP *, EC_POINT *,
int (*point_set_compressed_coordinates)(const EC_GROUP *, EC_POINT *,
const BIGNUM *x, int y_bit, BN_CTX *);
/* used by EC_POINT_point2oct, EC_POINT_oct2point: */
......@@ -114,6 +146,11 @@ struct ec_method_st {
int (*dbl)(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
int (*invert)(const EC_GROUP *, EC_POINT *, BN_CTX *);
/* used by EC_POINTs_mul, EC_POINT_mul, EC_POINT_precompute_mult: */
int (*mul)(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *);
int (*precompute_mult)(EC_GROUP *group, BN_CTX *);
/* used by EC_POINT_is_at_infinity, EC_POINT_is_on_curve, EC_POINT_cmp: */
int (*is_at_infinity)(const EC_GROUP *, const EC_POINT *);
int (*is_on_curve)(const EC_GROUP *, const EC_POINT *, BN_CTX *);
......@@ -126,11 +163,12 @@ struct ec_method_st {
/* internal functions */
/* 'field_mul' and 'field_sqr' can be used by 'add' and 'dbl' so that
/* 'field_mul', 'field_sqr', and 'field_div' can be used by 'add' and 'dbl' so that
* the same implementations of point operations can be used with different
* optimized implementations of expensive field operations: */
int (*field_mul)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
int (*field_sqr)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
int (*field_div)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
int (*field_encode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); /* e.g. to Montgomery */
int (*field_decode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); /* e.g. from Montgomery */
......@@ -165,6 +203,12 @@ struct ec_group_st {
* irreducible polynomial defining the field.
*/
unsigned int poly[5]; /* Field specification for curves over GF(2^m).
* The irreducible f(t) is then of the form:
* t^poly[0] + t^poly[1] + ... + t^poly[k]
* where m = poly[0] > poly[1] > ... > poly[k] = 0.
*/
BIGNUM a, b; /* Curve coefficients.
* (Here the assumption is that BIGNUMs can be used
* or abused for all kinds of fields, not just GF(p).)
......@@ -213,6 +257,11 @@ struct ec_point_st {
/* method functions in ec_mult.c */
int ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *);
int ec_wNAF_precompute_mult(EC_GROUP *group, BN_CTX *);
/* method functions in ecp_smpl.c */
int ec_GFp_simple_group_init(EC_GROUP *);
void ec_GFp_simple_group_finish(EC_GROUP *);
......@@ -220,6 +269,7 @@ void ec_GFp_simple_group_clear_finish(EC_GROUP *);
int ec_GFp_simple_group_copy(EC_GROUP *, const EC_GROUP *);
int ec_GFp_simple_group_set_curve_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
int ec_GFp_simple_group_get_curve_GFp(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
int ec_GFp_simple_group_get_degree(const EC_GROUP *);
int ec_GFp_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *);
int ec_GFp_simple_point_init(EC_POINT *);
void ec_GFp_simple_point_finish(EC_POINT *);
......@@ -283,3 +333,46 @@ void ec_GFp_nist_group_clear_finish(EC_GROUP *);
int ec_GFp_nist_group_copy(EC_GROUP *, const EC_GROUP *);
int ec_GFp_nist_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
int ec_GFp_nist_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
/* method functions in ec2_smpl.c */
int ec_GF2m_simple_group_init(EC_GROUP *);
void ec_GF2m_simple_group_finish(EC_GROUP *);
void ec_GF2m_simple_group_clear_finish(EC_GROUP *);
int ec_GF2m_simple_group_copy(EC_GROUP *, const EC_GROUP *);
int ec_GF2m_simple_group_set_curve_GF2m(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
int ec_GF2m_simple_group_get_curve_GF2m(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
int ec_GF2m_simple_group_get_degree(const EC_GROUP *);
int ec_GF2m_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *);
int ec_GF2m_simple_point_init(EC_POINT *);
void ec_GF2m_simple_point_finish(EC_POINT *);
void ec_GF2m_simple_point_clear_finish(EC_POINT *);
int ec_GF2m_simple_point_copy(EC_POINT *, const EC_POINT *);
int ec_GF2m_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *);
int ec_GF2m_simple_point_set_affine_coordinates_GF2m(const EC_GROUP *, EC_POINT *,
const BIGNUM *x, const BIGNUM *y, BN_CTX *);
int ec_GF2m_simple_point_get_affine_coordinates_GF2m(const EC_GROUP *, const EC_POINT *,
BIGNUM *x, BIGNUM *y, BN_CTX *);
int ec_GF2m_simple_set_compressed_coordinates_GF2m(const EC_GROUP *, EC_POINT *,
const BIGNUM *x, int y_bit, BN_CTX *);
size_t ec_GF2m_simple_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form,
unsigned char *buf, size_t len, BN_CTX *);
int ec_GF2m_simple_oct2point(const EC_GROUP *, EC_POINT *,
const unsigned char *buf, size_t len, BN_CTX *);
int ec_GF2m_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
int ec_GF2m_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
int ec_GF2m_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
int ec_GF2m_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *);
int ec_GF2m_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
int ec_GF2m_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
int ec_GF2m_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
int ec_GF2m_simple_points_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *);
int ec_GF2m_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
int ec_GF2m_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
int ec_GF2m_simple_field_div(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
/* method functions in ec2_mult.c */
int ec_GF2m_mont_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *);
int ec_GF2m_mont_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
......@@ -52,6 +52,11 @@
* 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>
......@@ -243,6 +248,28 @@ int EC_GROUP_copy(EC_GROUP *dest, const EC_GROUP *src)
}
EC_GROUP *EC_GROUP_dup(const EC_GROUP *a)
{
EC_GROUP *t = NULL;
int ok = 0;
if (a == NULL) return NULL;
if ((t = EC_GROUP_new(a->meth)) == NULL) return(NULL);
if (!EC_GROUP_copy(t, a)) goto err;
ok = 1;
err:
if (!ok)
{
if (t) EC_GROUP_free(t);
return NULL;
}
else return t;
}
const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group)
{
return group->meth;
......@@ -380,23 +407,56 @@ size_t EC_GROUP_get_seed_len(const EC_GROUP *group)
int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
{
if (group->meth->group_set_curve_GFp == 0)
if (group->meth->group_set_curve == 0)
{
ECerr(EC_F_EC_GROUP_SET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
return group->meth->group_set_curve_GFp(group, p, a, b, ctx);
return group->meth->group_set_curve(group, p, a, b, ctx);
}
int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx)
{
if (group->meth->group_get_curve_GFp == 0)
if (group->meth->group_get_curve == 0)
{
ECerr(EC_F_EC_GROUP_GET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
return group->meth->group_get_curve_GFp(group, p, a, b, ctx);
return group->meth->group_get_curve(group, p, a, b, ctx);
}
int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
{
if (group->meth->group_set_curve == 0)
{
ECerr(EC_F_EC_GROUP_SET_CURVE_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
return group->meth->group_set_curve(group, p, a, b, ctx);
}
int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx)
{
if (group->meth->group_get_curve == 0)
{
ECerr(EC_F_EC_GROUP_GET_CURVE_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
return group->meth->group_get_curve(group, p, a, b, ctx);
}
int EC_GROUP_get_degree(const EC_GROUP *group)
{
if (group->meth->group_get_degree == 0)
{
ECerr(EC_F_EC_GROUP_GET_DEGREE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
return group->meth->group_get_degree(group);
}
......@@ -551,6 +611,25 @@ int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src)
}
EC_POINT *EC_POINT_dup(const EC_POINT *a, const EC_GROUP *group)
{
EC_POINT *t;
int r;
if (a == NULL) return NULL;
t = EC_POINT_new(group);
if (t == NULL) return(NULL);
r = EC_POINT_copy(t, a);
if (!r)
{
EC_POINT_free(t);
return NULL;
}
else return t;
}
const EC_METHOD *EC_POINT_method_of(const EC_POINT *point)
{
return point->meth;
......@@ -576,7 +655,7 @@ int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point)
int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx)
{
if (group->meth->point_set_Jprojective_coordinates_GFp == 0)
if (group->meth->point_set_Jprojective_coordinates == 0)
{
ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
......@@ -586,14 +665,14 @@ int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *po
ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
return group->meth->point_set_Jprojective_coordinates_GFp(group, point, x, y, z, ctx);
return group->meth->point_set_Jprojective_coordinates(group, point, x, y, z, ctx);
}
int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group, const EC_POINT *point,
BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx)
{
if (group->meth->point_get_Jprojective_coordinates_GFp == 0)
if (group->meth->point_get_Jprojective_coordinates == 0)
{
ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
......@@ -603,14 +682,14 @@ int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group, const EC_POI
ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
return group->meth->point_get_Jprojective_coordinates_GFp(group, point, x, y, z, ctx);
return group->meth->point_get_Jprojective_coordinates(group, point, x, y, z, ctx);
}
int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx)
{
if (group->meth->point_set_affine_coordinates_GFp == 0)
if (group->meth->point_set_affine_coordinates == 0)
{
ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
......@@ -620,14 +699,14 @@ int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
return group->meth->point_set_affine_coordinates_GFp(group, point, x, y, ctx);
return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
}
int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group, const EC_POINT *point,
BIGNUM *x, BIGNUM *y, BN_CTX *ctx)
{
if (group->meth->point_get_affine_coordinates_GFp == 0)
if (group->meth->point_get_affine_coordinates == 0)
{
ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
......@@ -637,14 +716,14 @@ int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group, const EC_POINT *p
ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
return group->meth->point_get_affine_coordinates_GFp(group, point, x, y, ctx);
return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
}
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_GFp == 0)
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;
......@@ -654,7 +733,92 @@ int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *poi
ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
return group->meth->point_set_compressed_coordinates_GFp(group, point, x, y_bit, ctx);
return group->meth->point_set_compressed_coordinates(group, point, x, y_bit, ctx);
}
int EC_POINT_set_Jprojective_coordinates_GF2m(const EC_GROUP *group, EC_POINT *point,
const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx)
{
if (group->meth->point_set_Jprojective_coordinates == 0)
{
ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
if (group->meth != point->meth)
{
ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GF2M, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
return group->meth->point_set_Jprojective_coordinates(group, point, x, y, z, ctx);
}
int EC_POINT_get_Jprojective_coordinates_GF2m(const EC_GROUP *group, const EC_POINT *point,
BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx)
{
if (group->meth->point_get_Jprojective_coordinates == 0)
{
ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
if (group->meth != point->meth)
{
ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GF2M, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
return group->meth->point_get_Jprojective_coordinates(group, point, x, y, z, ctx);
}
int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *point,
const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx)
{
if (group->meth->point_set_affine_coordinates == 0)
{
ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
if (group->meth != point->meth)
{
ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
}
int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group, const EC_POINT *point,
BIGNUM *x, BIGNUM *y, BN_CTX *ctx)
{
if (group->meth->point_get_affine_coordinates == 0)
{
ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
if (group->meth != point->meth)
{
ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
}
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);
}
......
......@@ -52,6 +52,11 @@
* 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>
......@@ -209,7 +214,7 @@ static signed char *compute_wNAF(const BIGNUM *scalar, int w, size_t *ret_len)
* scalar*generator
* in the addition if scalar != NULL
*/
int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
int ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *ctx)
{
BN_CTX *new_ctx = NULL;
......@@ -235,7 +240,7 @@ int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
generator = EC_GROUP_get0_generator(group);
if (generator == NULL)
{
ECerr(EC_F_EC_POINTS_MUL, EC_R_UNDEFINED_GENERATOR);
ECerr(EC_F_EC_WNAF_MUL, EC_R_UNDEFINED_GENERATOR);
return 0;
}
}
......@@ -244,7 +249,7 @@ int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
{
if (group->meth != points[i]->meth)
{
ECerr(EC_F_EC_POINTS_MUL, EC_R_INCOMPATIBLE_OBJECTS);
ECerr(EC_F_EC_WNAF_MUL, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
}
......@@ -294,7 +299,7 @@ int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
}
if (!(v == val + num_val))
{
ECerr(EC_F_EC_POINTS_MUL, ERR_R_INTERNAL_ERROR);
ECerr(EC_F_EC_WNAF_MUL, ERR_R_INTERNAL_ERROR);
goto err;
}
......@@ -438,6 +443,20 @@ int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
}
/* Generic multiplication method.
* If group->meth does not provide a multiplication method, default to ec_wNAF_mul;
* otherwise use the group->meth's multiplication.
*/
int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *ctx)
{
if (group->meth->mul == 0)
return ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx);
else
return group->meth->mul(group, r, scalar, num, points, scalars, ctx);
}
int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *g_scalar, const EC_POINT *point, const BIGNUM *p_scalar, BN_CTX *ctx)
{
const EC_POINT *points[1];
......@@ -450,7 +469,7 @@ int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *g_scalar, con
}
int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
int ec_wNAF_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
{
const EC_POINT *generator;
BN_CTX *new_ctx = NULL;
......@@ -460,7 +479,7 @@ int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
generator = EC_GROUP_get0_generator(group);
if (generator == NULL)
{
ECerr(EC_F_EC_GROUP_PRECOMPUTE_MULT, EC_R_UNDEFINED_GENERATOR);
ECerr(EC_F_EC_WNAF_PRECOMPUTE_MULT, EC_R_UNDEFINED_GENERATOR);
return 0;
}
......@@ -478,7 +497,7 @@ int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
if (!EC_GROUP_get_order(group, order, ctx)) return 0;
if (BN_is_zero(order))
{
ECerr(EC_F_EC_GROUP_PRECOMPUTE_MULT, EC_R_UNKNOWN_ORDER);
ECerr(EC_F_EC_WNAF_PRECOMPUTE_MULT, EC_R_UNKNOWN_ORDER);
goto err;
}
......@@ -492,3 +511,18 @@ int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
BN_CTX_free(new_ctx);
return ret;
}
/* Generic multiplicaiton precomputation method.
* If group->meth does not provide a multiplication method, default to ec_wNAF_mul and do its
* precomputation; otherwise use the group->meth's precomputation if it exists.
*/
int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
{
if (group->meth->mul == 0)
return ec_wNAF_precompute_mult(group, ctx);
else if (group->meth->precompute_mult != 0)
return group->meth->precompute_mult(group, ctx);
else
return 1;
}
......@@ -52,6 +52,11 @@
* 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>
......@@ -68,6 +73,7 @@ const EC_METHOD *EC_GFp_mont_method(void)
ec_GFp_mont_group_copy,
ec_GFp_mont_group_set_curve_GFp,
ec_GFp_simple_group_get_curve_GFp,
ec_GFp_simple_group_get_degree,
ec_GFp_simple_group_check_discriminant,
ec_GFp_simple_point_init,
ec_GFp_simple_point_finish,
......@@ -84,6 +90,8 @@ const EC_METHOD *EC_GFp_mont_method(void)
ec_GFp_simple_add,
ec_GFp_simple_dbl,
ec_GFp_simple_invert,
0 /* mul */,
0 /* precompute_mult */,
ec_GFp_simple_is_at_infinity,
ec_GFp_simple_is_on_curve,
ec_GFp_simple_cmp,
......@@ -91,6 +99,7 @@ const EC_METHOD *EC_GFp_mont_method(void)
ec_GFp_simple_points_make_affine,
ec_GFp_mont_field_mul,
ec_GFp_mont_field_sqr,
0 /* field_div */,
ec_GFp_mont_field_encode,
ec_GFp_mont_field_decode,
ec_GFp_mont_field_set_to_one };
......
......@@ -52,6 +52,11 @@
* 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 "ec_lcl.h"
......@@ -65,6 +70,7 @@ const EC_METHOD *EC_GFp_nist_method(void)
ec_GFp_nist_group_copy,
ec_GFp_nist_group_set_curve_GFp,
ec_GFp_simple_group_get_curve_GFp,
ec_GFp_simple_group_get_degree,
ec_GFp_simple_group_set_generator,
ec_GFp_simple_group_get0_generator,
ec_GFp_simple_group_get_order,
......@@ -85,6 +91,8 @@ const EC_METHOD *EC_GFp_nist_method(void)
ec_GFp_simple_add,
ec_GFp_simple_dbl,
ec_GFp_simple_invert,
0 /* mul */,
0 /* precompute_mult */,
ec_GFp_simple_is_at_infinity,
ec_GFp_simple_is_on_curve,
ec_GFp_simple_cmp,
......@@ -92,6 +100,7 @@ const EC_METHOD *EC_GFp_nist_method(void)
ec_GFp_simple_points_make_affine,
ec_GFp_nist_field_mul,
ec_GFp_nist_field_sqr,
0 /* field_div */,
0 /* field_encode */,
0 /* field_decode */,
0 /* field_set_to_one */ };
......
......@@ -52,6 +52,11 @@
* 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 "ec_lcl.h"
......@@ -65,6 +70,7 @@ const EC_METHOD *EC_GFp_recp_method(void)
ec_GFp_recp_group_copy,
ec_GFp_recp_group_set_curve_GFp,
ec_GFp_simple_group_get_curve_GFp,
ec_GFp_simple_group_get_degree,
ec_GFp_simple_group_set_generator,
ec_GFp_simple_group_get0_generator,
ec_GFp_simple_group_get_order,
......@@ -85,6 +91,8 @@ const EC_METHOD *EC_GFp_recp_method(void)
ec_GFp_simple_add,
ec_GFp_simple_dbl,
ec_GFp_simple_invert,
0 /* mul */,
0 /* precompute_mult */,
ec_GFp_simple_is_at_infinity,
ec_GFp_simple_is_on_curve,
ec_GFp_simple_cmp,
......@@ -92,6 +100,7 @@ const EC_METHOD *EC_GFp_recp_method(void)
ec_GFp_simple_points_make_affine,
ec_GFp_recp_field_mul,
ec_GFp_recp_field_sqr,
0 /* field_div */,
0 /* field_encode */,
0 /* field_decode */,
0 /* field_set_to_one */ };
......
......@@ -54,6 +54,11 @@
* 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>
......@@ -70,6 +75,7 @@ const EC_METHOD *EC_GFp_simple_method(void)
ec_GFp_simple_group_copy,
ec_GFp_simple_group_set_curve_GFp,
ec_GFp_simple_group_get_curve_GFp,
ec_GFp_simple_group_get_degree,
ec_GFp_simple_group_check_discriminant,
ec_GFp_simple_point_init,
ec_GFp_simple_point_finish,
......@@ -86,6 +92,8 @@ const EC_METHOD *EC_GFp_simple_method(void)
ec_GFp_simple_add,
ec_GFp_simple_dbl,
ec_GFp_simple_invert,
0 /* mul */,
0 /* precompute_mult */,
ec_GFp_simple_is_at_infinity,
ec_GFp_simple_is_on_curve,
ec_GFp_simple_cmp,
......@@ -93,6 +101,7 @@ const EC_METHOD *EC_GFp_simple_method(void)
ec_GFp_simple_points_make_affine,
ec_GFp_simple_field_mul,
ec_GFp_simple_field_sqr,
0 /* field_div */,
0 /* field_encode */,
0 /* field_decode */,
0 /* field_set_to_one */ };
......@@ -245,6 +254,12 @@ int ec_GFp_simple_group_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *
}
int ec_GFp_simple_group_get_degree(const EC_GROUP *group)
{
return BN_num_bits(&group->field);
}
int ec_GFp_simple_group_check_discriminant(const EC_GROUP *group, BN_CTX *ctx)
{
int ret = 0;
......
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