Update pre9

This commit is contained in:
2018-07-19 21:47:35 +09:00
parent 1914ae9055
commit 46f6b5e2fe
84 changed files with 2388 additions and 962 deletions
+271 -57
View File
@@ -15,63 +15,6 @@
#ifndef OPENSSL_NO_EC2M
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,
ec_GF2m_simple_group_clear_finish,
ec_GF2m_simple_group_copy,
ec_GF2m_simple_group_set_curve,
ec_GF2m_simple_group_get_curve,
ec_GF2m_simple_group_get_degree,
ec_group_simple_order_bits,
ec_GF2m_simple_group_check_discriminant,
ec_GF2m_simple_point_init,
ec_GF2m_simple_point_finish,
ec_GF2m_simple_point_clear_finish,
ec_GF2m_simple_point_copy,
ec_GF2m_simple_point_set_to_infinity,
0 /* set_Jprojective_coordinates_GFp */ ,
0 /* get_Jprojective_coordinates_GFp */ ,
ec_GF2m_simple_point_set_affine_coordinates,
ec_GF2m_simple_point_get_affine_coordinates,
0, 0, 0,
ec_GF2m_simple_add,
ec_GF2m_simple_dbl,
ec_GF2m_simple_invert,
ec_GF2m_simple_is_at_infinity,
ec_GF2m_simple_is_on_curve,
ec_GF2m_simple_cmp,
ec_GF2m_simple_make_affine,
ec_GF2m_simple_points_make_affine,
0 /* mul */,
0 /* precompute_mul */,
0 /* have_precompute_mul */,
ec_GF2m_simple_field_mul,
ec_GF2m_simple_field_sqr,
ec_GF2m_simple_field_div,
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 */
0 /* blind_coordinates */
};
return &ret;
}
/*
* Initialize a GF(2^m)-based EC_GROUP structure. Note that all other members
* are handled by EC_GROUP_new.
@@ -737,4 +680,275 @@ int ec_GF2m_simple_field_div(const EC_GROUP *group, BIGNUM *r,
return BN_GF2m_mod_div(r, a, b, group->field, ctx);
}
/*-
* Lopez-Dahab ladder, pre step.
* See e.g. "Guide to ECC" Alg 3.40.
* Modified to blind s and r independently.
* s:= p, r := 2p
*/
static
int ec_GF2m_simple_ladder_pre(const EC_GROUP *group,
EC_POINT *r, EC_POINT *s,
EC_POINT *p, BN_CTX *ctx)
{
/* if p is not affine, something is wrong */
if (p->Z_is_one == 0)
return 0;
/* s blinding: make sure lambda (s->Z here) is not zero */
do {
if (!BN_priv_rand(s->Z, BN_num_bits(group->field) - 1,
BN_RAND_TOP_ANY, BN_RAND_BOTTOM_ANY)) {
ECerr(EC_F_EC_GF2M_SIMPLE_LADDER_PRE, ERR_R_BN_LIB);
return 0;
}
} while (BN_is_zero(s->Z));
/* if field_encode defined convert between representations */
if ((group->meth->field_encode != NULL
&& !group->meth->field_encode(group, s->Z, s->Z, ctx))
|| !group->meth->field_mul(group, s->X, p->X, s->Z, ctx))
return 0;
/* r blinding: make sure lambda (r->Y here for storage) is not zero */
do {
if (!BN_priv_rand(r->Y, BN_num_bits(group->field) - 1,
BN_RAND_TOP_ANY, BN_RAND_BOTTOM_ANY)) {
ECerr(EC_F_EC_GF2M_SIMPLE_LADDER_PRE, ERR_R_BN_LIB);
return 0;
}
} while (BN_is_zero(r->Y));
if ((group->meth->field_encode != NULL
&& !group->meth->field_encode(group, r->Y, r->Y, ctx))
|| !group->meth->field_sqr(group, r->Z, p->X, ctx)
|| !group->meth->field_sqr(group, r->X, r->Z, ctx)
|| !BN_GF2m_add(r->X, r->X, group->b)
|| !group->meth->field_mul(group, r->Z, r->Z, r->Y, ctx)
|| !group->meth->field_mul(group, r->X, r->X, r->Y, ctx))
return 0;
s->Z_is_one = 0;
r->Z_is_one = 0;
return 1;
}
/*-
* Ladder step: differential addition-and-doubling, mixed Lopez-Dahab coords.
* http://www.hyperelliptic.org/EFD/g12o/auto-code/shortw/xz/ladder/mladd-2003-s.op3
* s := r + s, r := 2r
*/
static
int ec_GF2m_simple_ladder_step(const EC_GROUP *group,
EC_POINT *r, EC_POINT *s,
EC_POINT *p, BN_CTX *ctx)
{
if (!group->meth->field_mul(group, r->Y, r->Z, s->X, ctx)
|| !group->meth->field_mul(group, s->X, r->X, s->Z, ctx)
|| !group->meth->field_sqr(group, s->Y, r->Z, ctx)
|| !group->meth->field_sqr(group, r->Z, r->X, ctx)
|| !BN_GF2m_add(s->Z, r->Y, s->X)
|| !group->meth->field_sqr(group, s->Z, s->Z, ctx)
|| !group->meth->field_mul(group, s->X, r->Y, s->X, ctx)
|| !group->meth->field_mul(group, r->Y, s->Z, p->X, ctx)
|| !BN_GF2m_add(s->X, s->X, r->Y)
|| !group->meth->field_sqr(group, r->Y, r->Z, ctx)
|| !group->meth->field_mul(group, r->Z, r->Z, s->Y, ctx)
|| !group->meth->field_sqr(group, s->Y, s->Y, ctx)
|| !group->meth->field_mul(group, s->Y, s->Y, group->b, ctx)
|| !BN_GF2m_add(r->X, r->Y, s->Y))
return 0;
return 1;
}
/*-
* Recover affine (x,y) result from Lopez-Dahab r and s, affine p.
* See e.g. "Fast Multiplication on Elliptic Curves over GF(2**m)
* without Precomputation" (Lopez and Dahab, CHES 1999),
* Appendix Alg Mxy.
*/
static
int ec_GF2m_simple_ladder_post(const EC_GROUP *group,
EC_POINT *r, EC_POINT *s,
EC_POINT *p, BN_CTX *ctx)
{
int ret = 0;
BIGNUM *t0, *t1, *t2 = NULL;
if (BN_is_zero(r->Z))
return EC_POINT_set_to_infinity(group, r);
if (BN_is_zero(s->Z)) {
if (!EC_POINT_copy(r, p)
|| !EC_POINT_invert(group, r, ctx)) {
ECerr(EC_F_EC_GF2M_SIMPLE_LADDER_POST, ERR_R_EC_LIB);
return 0;
}
return 1;
}
BN_CTX_start(ctx);
t0 = BN_CTX_get(ctx);
t1 = BN_CTX_get(ctx);
t2 = BN_CTX_get(ctx);
if (t2 == NULL) {
ECerr(EC_F_EC_GF2M_SIMPLE_LADDER_POST, ERR_R_MALLOC_FAILURE);
goto err;
}
if (!group->meth->field_mul(group, t0, r->Z, s->Z, ctx)
|| !group->meth->field_mul(group, t1, p->X, r->Z, ctx)
|| !BN_GF2m_add(t1, r->X, t1)
|| !group->meth->field_mul(group, t2, p->X, s->Z, ctx)
|| !group->meth->field_mul(group, r->Z, r->X, t2, ctx)
|| !BN_GF2m_add(t2, t2, s->X)
|| !group->meth->field_mul(group, t1, t1, t2, ctx)
|| !group->meth->field_sqr(group, t2, p->X, ctx)
|| !BN_GF2m_add(t2, p->Y, t2)
|| !group->meth->field_mul(group, t2, t2, t0, ctx)
|| !BN_GF2m_add(t1, t2, t1)
|| !group->meth->field_mul(group, t2, p->X, t0, ctx)
|| !BN_GF2m_mod_inv(t2, t2, group->field, ctx)
|| !group->meth->field_mul(group, t1, t1, t2, ctx)
|| !group->meth->field_mul(group, r->X, r->Z, t2, ctx)
|| !BN_GF2m_add(t2, p->X, r->X)
|| !group->meth->field_mul(group, t2, t2, t1, ctx)
|| !BN_GF2m_add(r->Y, p->Y, t2)
|| !BN_one(r->Z))
goto err;
r->Z_is_one = 1;
/* GF(2^m) field elements should always have BIGNUM::neg = 0 */
BN_set_negative(r->X, 0);
BN_set_negative(r->Y, 0);
ret = 1;
err:
BN_CTX_end(ctx);
return ret;
}
static
int ec_GF2m_simple_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)
{
int ret = 0;
EC_POINT *t = NULL;
/*-
* We limit use of the ladder only to the following cases:
* - r := scalar * G
* Fixed point mul: scalar != NULL && num == 0;
* - r := scalars[0] * points[0]
* Variable point mul: scalar == NULL && num == 1;
* - r := scalar * G + scalars[0] * points[0]
* used, e.g., in ECDSA verification: scalar != NULL && num == 1
*
* In any other case (num > 1) we use the default wNAF implementation.
*
* We also let the default implementation handle degenerate cases like group
* order or cofactor set to 0.
*/
if (num > 1 || BN_is_zero(group->order) || BN_is_zero(group->cofactor))
return ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx);
if (scalar != NULL && num == 0)
/* Fixed point multiplication */
return ec_scalar_mul_ladder(group, r, scalar, NULL, ctx);
if (scalar == NULL && num == 1)
/* Variable point multiplication */
return ec_scalar_mul_ladder(group, r, scalars[0], points[0], ctx);
/*-
* Double point multiplication:
* r := scalar * G + scalars[0] * points[0]
*/
if ((t = EC_POINT_new(group)) == NULL) {
ECerr(EC_F_EC_GF2M_SIMPLE_POINTS_MUL, ERR_R_MALLOC_FAILURE);
return 0;
}
if (!ec_scalar_mul_ladder(group, t, scalar, NULL, ctx)
|| !ec_scalar_mul_ladder(group, r, scalars[0], points[0], ctx)
|| !EC_POINT_add(group, r, t, r, ctx))
goto err;
ret = 1;
err:
EC_POINT_free(t);
return ret;
}
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,
ec_GF2m_simple_group_clear_finish,
ec_GF2m_simple_group_copy,
ec_GF2m_simple_group_set_curve,
ec_GF2m_simple_group_get_curve,
ec_GF2m_simple_group_get_degree,
ec_group_simple_order_bits,
ec_GF2m_simple_group_check_discriminant,
ec_GF2m_simple_point_init,
ec_GF2m_simple_point_finish,
ec_GF2m_simple_point_clear_finish,
ec_GF2m_simple_point_copy,
ec_GF2m_simple_point_set_to_infinity,
0, /* set_Jprojective_coordinates_GFp */
0, /* get_Jprojective_coordinates_GFp */
ec_GF2m_simple_point_set_affine_coordinates,
ec_GF2m_simple_point_get_affine_coordinates,
0, /* point_set_compressed_coordinates */
0, /* point2oct */
0, /* oct2point */
ec_GF2m_simple_add,
ec_GF2m_simple_dbl,
ec_GF2m_simple_invert,
ec_GF2m_simple_is_at_infinity,
ec_GF2m_simple_is_on_curve,
ec_GF2m_simple_cmp,
ec_GF2m_simple_make_affine,
ec_GF2m_simple_points_make_affine,
ec_GF2m_simple_points_mul,
0, /* precompute_mult */
0, /* have_precompute_mult */
ec_GF2m_simple_field_mul,
ec_GF2m_simple_field_sqr,
ec_GF2m_simple_field_div,
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 */
0, /* blind_coordinates */
ec_GF2m_simple_ladder_pre,
ec_GF2m_simple_ladder_step,
ec_GF2m_simple_ladder_post
};
return &ret;
}
#endif