openssl/crypto/ec/ecp_nist.c
Billy Brumley 48e82c8e22 SCA hardening for mod. field inversion in EC_GROUP
This commit adds a dedicated function in `EC_METHOD` to access a modular
field inversion implementation suitable for the specifics of the
implemented curve, featuring SCA countermeasures.

The new pointer is defined as:
`int (*field_inv)(const EC_GROUP*, BIGNUM *r, const BIGNUM *a, BN_CTX*)`
and computes the multiplicative inverse of `a` in the underlying field,
storing the result in `r`.

Three implementations are included, each including specific SCA
countermeasures:
  - `ec_GFp_simple_field_inv()`, featuring SCA hardening through
    blinding.
  - `ec_GFp_mont_field_inv()`, featuring SCA hardening through Fermat's
    Little Theorem (FLT) inversion.
  - `ec_GF2m_simple_field_inv()`, that uses `BN_GF2m_mod_inv()` which
    already features SCA hardening through blinding.

From a security point of view, this also helps addressing a leakage
previously affecting conversions from projective to affine coordinates.

This commit also adds a new error reason code (i.e.,
`EC_R_CANNOT_INVERT`) to improve consistency between the three
implementations as all of them could fail for the same reason but
through different code paths resulting in inconsistent error stack
states.

Co-authored-by: Nicola Tuveri <nic.tuv@gmail.com>

(cherry picked from commit e0033efc30)

Reviewed-by: Matt Caswell <matt@openssl.org>
Reviewed-by: Nicola Tuveri <nic.tuv@gmail.com>
(Merged from https://github.com/openssl/openssl/pull/8262)
2019-02-20 19:54:19 +02:00

168 lines
4.8 KiB
C

/*
* Copyright 2001-2019 The OpenSSL Project Authors. All Rights Reserved.
* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <limits.h>
#include <openssl/err.h>
#include <openssl/obj_mac.h>
#include "ec_lcl.h"
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,
ec_GFp_simple_group_clear_finish,
ec_GFp_nist_group_copy,
ec_GFp_nist_group_set_curve,
ec_GFp_simple_group_get_curve,
ec_GFp_simple_group_get_degree,
ec_group_simple_order_bits,
ec_GFp_simple_group_check_discriminant,
ec_GFp_simple_point_init,
ec_GFp_simple_point_finish,
ec_GFp_simple_point_clear_finish,
ec_GFp_simple_point_copy,
ec_GFp_simple_point_set_to_infinity,
ec_GFp_simple_set_Jprojective_coordinates_GFp,
ec_GFp_simple_get_Jprojective_coordinates_GFp,
ec_GFp_simple_point_set_affine_coordinates,
ec_GFp_simple_point_get_affine_coordinates,
0, 0, 0,
ec_GFp_simple_add,
ec_GFp_simple_dbl,
ec_GFp_simple_invert,
ec_GFp_simple_is_at_infinity,
ec_GFp_simple_is_on_curve,
ec_GFp_simple_cmp,
ec_GFp_simple_make_affine,
ec_GFp_simple_points_make_affine,
0 /* mul */ ,
0 /* precompute_mult */ ,
0 /* have_precompute_mult */ ,
ec_GFp_nist_field_mul,
ec_GFp_nist_field_sqr,
0 /* field_div */ ,
ec_GFp_simple_field_inv,
0 /* field_encode */ ,
0 /* field_decode */ ,
0, /* field_set_to_one */
ec_key_simple_priv2oct,
ec_key_simple_oct2priv,
0, /* set private */
ec_key_simple_generate_key,
ec_key_simple_check_key,
ec_key_simple_generate_public_key,
0, /* keycopy */
0, /* keyfinish */
ecdh_simple_compute_key,
0, /* field_inverse_mod_ord */
ec_GFp_simple_blind_coordinates,
ec_GFp_simple_ladder_pre,
ec_GFp_simple_ladder_step,
ec_GFp_simple_ladder_post
};
return &ret;
}
int ec_GFp_nist_group_copy(EC_GROUP *dest, const EC_GROUP *src)
{
dest->field_mod_func = src->field_mod_func;
return ec_GFp_simple_group_copy(dest, src);
}
int ec_GFp_nist_group_set_curve(EC_GROUP *group, const BIGNUM *p,
const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
{
int ret = 0;
BN_CTX *new_ctx = NULL;
if (ctx == NULL)
if ((ctx = new_ctx = BN_CTX_new()) == NULL)
return 0;
BN_CTX_start(ctx);
if (BN_ucmp(BN_get0_nist_prime_192(), p) == 0)
group->field_mod_func = BN_nist_mod_192;
else if (BN_ucmp(BN_get0_nist_prime_224(), p) == 0)
group->field_mod_func = BN_nist_mod_224;
else if (BN_ucmp(BN_get0_nist_prime_256(), p) == 0)
group->field_mod_func = BN_nist_mod_256;
else if (BN_ucmp(BN_get0_nist_prime_384(), p) == 0)
group->field_mod_func = BN_nist_mod_384;
else if (BN_ucmp(BN_get0_nist_prime_521(), p) == 0)
group->field_mod_func = BN_nist_mod_521;
else {
ECerr(EC_F_EC_GFP_NIST_GROUP_SET_CURVE, EC_R_NOT_A_NIST_PRIME);
goto err;
}
ret = ec_GFp_simple_group_set_curve(group, p, a, b, ctx);
err:
BN_CTX_end(ctx);
BN_CTX_free(new_ctx);
return ret;
}
int ec_GFp_nist_field_mul(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
const BIGNUM *b, BN_CTX *ctx)
{
int ret = 0;
BN_CTX *ctx_new = NULL;
if (!group || !r || !a || !b) {
ECerr(EC_F_EC_GFP_NIST_FIELD_MUL, ERR_R_PASSED_NULL_PARAMETER);
goto err;
}
if (!ctx)
if ((ctx_new = ctx = BN_CTX_new()) == NULL)
goto err;
if (!BN_mul(r, a, b, ctx))
goto err;
if (!group->field_mod_func(r, r, group->field, ctx))
goto err;
ret = 1;
err:
BN_CTX_free(ctx_new);
return ret;
}
int ec_GFp_nist_field_sqr(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
BN_CTX *ctx)
{
int ret = 0;
BN_CTX *ctx_new = NULL;
if (!group || !r || !a) {
ECerr(EC_F_EC_GFP_NIST_FIELD_SQR, EC_R_PASSED_NULL_PARAMETER);
goto err;
}
if (!ctx)
if ((ctx_new = ctx = BN_CTX_new()) == NULL)
goto err;
if (!BN_sqr(r, a, ctx))
goto err;
if (!group->field_mod_func(r, r, group->field, ctx))
goto err;
ret = 1;
err:
BN_CTX_free(ctx_new);
return ret;
}