Update pre9
This commit is contained in:
+271
-57
@@ -15,63 +15,6 @@
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#ifndef OPENSSL_NO_EC2M
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const EC_METHOD *EC_GF2m_simple_method(void)
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{
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static const EC_METHOD ret = {
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EC_FLAGS_DEFAULT_OCT,
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NID_X9_62_characteristic_two_field,
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ec_GF2m_simple_group_init,
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ec_GF2m_simple_group_finish,
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ec_GF2m_simple_group_clear_finish,
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ec_GF2m_simple_group_copy,
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ec_GF2m_simple_group_set_curve,
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ec_GF2m_simple_group_get_curve,
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ec_GF2m_simple_group_get_degree,
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ec_group_simple_order_bits,
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ec_GF2m_simple_group_check_discriminant,
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ec_GF2m_simple_point_init,
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ec_GF2m_simple_point_finish,
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ec_GF2m_simple_point_clear_finish,
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ec_GF2m_simple_point_copy,
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ec_GF2m_simple_point_set_to_infinity,
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0 /* set_Jprojective_coordinates_GFp */ ,
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0 /* get_Jprojective_coordinates_GFp */ ,
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ec_GF2m_simple_point_set_affine_coordinates,
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ec_GF2m_simple_point_get_affine_coordinates,
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0, 0, 0,
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ec_GF2m_simple_add,
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ec_GF2m_simple_dbl,
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ec_GF2m_simple_invert,
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ec_GF2m_simple_is_at_infinity,
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ec_GF2m_simple_is_on_curve,
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ec_GF2m_simple_cmp,
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ec_GF2m_simple_make_affine,
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ec_GF2m_simple_points_make_affine,
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0 /* mul */,
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0 /* precompute_mul */,
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0 /* have_precompute_mul */,
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ec_GF2m_simple_field_mul,
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ec_GF2m_simple_field_sqr,
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ec_GF2m_simple_field_div,
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0 /* field_encode */ ,
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0 /* field_decode */ ,
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0, /* field_set_to_one */
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ec_key_simple_priv2oct,
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ec_key_simple_oct2priv,
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0, /* set private */
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ec_key_simple_generate_key,
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ec_key_simple_check_key,
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ec_key_simple_generate_public_key,
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0, /* keycopy */
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0, /* keyfinish */
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ecdh_simple_compute_key,
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0, /* field_inverse_mod_ord */
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0 /* blind_coordinates */
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};
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return &ret;
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}
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/*
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* Initialize a GF(2^m)-based EC_GROUP structure. Note that all other members
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* are handled by EC_GROUP_new.
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@@ -737,4 +680,275 @@ int ec_GF2m_simple_field_div(const EC_GROUP *group, BIGNUM *r,
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return BN_GF2m_mod_div(r, a, b, group->field, ctx);
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}
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/*-
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* Lopez-Dahab ladder, pre step.
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* See e.g. "Guide to ECC" Alg 3.40.
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* Modified to blind s and r independently.
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* s:= p, r := 2p
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*/
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static
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int ec_GF2m_simple_ladder_pre(const EC_GROUP *group,
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EC_POINT *r, EC_POINT *s,
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EC_POINT *p, BN_CTX *ctx)
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{
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/* if p is not affine, something is wrong */
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if (p->Z_is_one == 0)
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return 0;
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/* s blinding: make sure lambda (s->Z here) is not zero */
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do {
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if (!BN_priv_rand(s->Z, BN_num_bits(group->field) - 1,
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BN_RAND_TOP_ANY, BN_RAND_BOTTOM_ANY)) {
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ECerr(EC_F_EC_GF2M_SIMPLE_LADDER_PRE, ERR_R_BN_LIB);
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return 0;
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}
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} while (BN_is_zero(s->Z));
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/* if field_encode defined convert between representations */
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if ((group->meth->field_encode != NULL
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&& !group->meth->field_encode(group, s->Z, s->Z, ctx))
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|| !group->meth->field_mul(group, s->X, p->X, s->Z, ctx))
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return 0;
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/* r blinding: make sure lambda (r->Y here for storage) is not zero */
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do {
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if (!BN_priv_rand(r->Y, BN_num_bits(group->field) - 1,
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BN_RAND_TOP_ANY, BN_RAND_BOTTOM_ANY)) {
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ECerr(EC_F_EC_GF2M_SIMPLE_LADDER_PRE, ERR_R_BN_LIB);
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return 0;
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}
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} while (BN_is_zero(r->Y));
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if ((group->meth->field_encode != NULL
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&& !group->meth->field_encode(group, r->Y, r->Y, ctx))
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|| !group->meth->field_sqr(group, r->Z, p->X, ctx)
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|| !group->meth->field_sqr(group, r->X, r->Z, ctx)
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|| !BN_GF2m_add(r->X, r->X, group->b)
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|| !group->meth->field_mul(group, r->Z, r->Z, r->Y, ctx)
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|| !group->meth->field_mul(group, r->X, r->X, r->Y, ctx))
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return 0;
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s->Z_is_one = 0;
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r->Z_is_one = 0;
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return 1;
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}
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/*-
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* Ladder step: differential addition-and-doubling, mixed Lopez-Dahab coords.
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* http://www.hyperelliptic.org/EFD/g12o/auto-code/shortw/xz/ladder/mladd-2003-s.op3
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* s := r + s, r := 2r
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*/
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static
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int ec_GF2m_simple_ladder_step(const EC_GROUP *group,
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EC_POINT *r, EC_POINT *s,
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EC_POINT *p, BN_CTX *ctx)
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{
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if (!group->meth->field_mul(group, r->Y, r->Z, s->X, ctx)
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|| !group->meth->field_mul(group, s->X, r->X, s->Z, ctx)
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|| !group->meth->field_sqr(group, s->Y, r->Z, ctx)
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|| !group->meth->field_sqr(group, r->Z, r->X, ctx)
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|| !BN_GF2m_add(s->Z, r->Y, s->X)
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|| !group->meth->field_sqr(group, s->Z, s->Z, ctx)
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|| !group->meth->field_mul(group, s->X, r->Y, s->X, ctx)
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|| !group->meth->field_mul(group, r->Y, s->Z, p->X, ctx)
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|| !BN_GF2m_add(s->X, s->X, r->Y)
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|| !group->meth->field_sqr(group, r->Y, r->Z, ctx)
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|| !group->meth->field_mul(group, r->Z, r->Z, s->Y, ctx)
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|| !group->meth->field_sqr(group, s->Y, s->Y, ctx)
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|| !group->meth->field_mul(group, s->Y, s->Y, group->b, ctx)
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|| !BN_GF2m_add(r->X, r->Y, s->Y))
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return 0;
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return 1;
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}
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/*-
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* Recover affine (x,y) result from Lopez-Dahab r and s, affine p.
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* See e.g. "Fast Multiplication on Elliptic Curves over GF(2**m)
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* without Precomputation" (Lopez and Dahab, CHES 1999),
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* Appendix Alg Mxy.
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*/
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static
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int ec_GF2m_simple_ladder_post(const EC_GROUP *group,
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EC_POINT *r, EC_POINT *s,
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EC_POINT *p, BN_CTX *ctx)
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{
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int ret = 0;
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BIGNUM *t0, *t1, *t2 = NULL;
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if (BN_is_zero(r->Z))
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return EC_POINT_set_to_infinity(group, r);
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if (BN_is_zero(s->Z)) {
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if (!EC_POINT_copy(r, p)
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|| !EC_POINT_invert(group, r, ctx)) {
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ECerr(EC_F_EC_GF2M_SIMPLE_LADDER_POST, ERR_R_EC_LIB);
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return 0;
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}
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return 1;
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}
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BN_CTX_start(ctx);
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t0 = BN_CTX_get(ctx);
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t1 = BN_CTX_get(ctx);
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t2 = BN_CTX_get(ctx);
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if (t2 == NULL) {
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ECerr(EC_F_EC_GF2M_SIMPLE_LADDER_POST, ERR_R_MALLOC_FAILURE);
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goto err;
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}
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if (!group->meth->field_mul(group, t0, r->Z, s->Z, ctx)
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|| !group->meth->field_mul(group, t1, p->X, r->Z, ctx)
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|| !BN_GF2m_add(t1, r->X, t1)
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|| !group->meth->field_mul(group, t2, p->X, s->Z, ctx)
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|| !group->meth->field_mul(group, r->Z, r->X, t2, ctx)
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|| !BN_GF2m_add(t2, t2, s->X)
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|| !group->meth->field_mul(group, t1, t1, t2, ctx)
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|| !group->meth->field_sqr(group, t2, p->X, ctx)
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|| !BN_GF2m_add(t2, p->Y, t2)
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|| !group->meth->field_mul(group, t2, t2, t0, ctx)
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|| !BN_GF2m_add(t1, t2, t1)
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|| !group->meth->field_mul(group, t2, p->X, t0, ctx)
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|| !BN_GF2m_mod_inv(t2, t2, group->field, ctx)
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|| !group->meth->field_mul(group, t1, t1, t2, ctx)
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|| !group->meth->field_mul(group, r->X, r->Z, t2, ctx)
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|| !BN_GF2m_add(t2, p->X, r->X)
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|| !group->meth->field_mul(group, t2, t2, t1, ctx)
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|| !BN_GF2m_add(r->Y, p->Y, t2)
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|| !BN_one(r->Z))
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goto err;
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r->Z_is_one = 1;
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/* GF(2^m) field elements should always have BIGNUM::neg = 0 */
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BN_set_negative(r->X, 0);
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BN_set_negative(r->Y, 0);
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ret = 1;
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err:
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BN_CTX_end(ctx);
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return ret;
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}
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static
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int ec_GF2m_simple_points_mul(const EC_GROUP *group, EC_POINT *r,
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const BIGNUM *scalar, size_t num,
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const EC_POINT *points[],
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const BIGNUM *scalars[],
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BN_CTX *ctx)
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{
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int ret = 0;
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EC_POINT *t = NULL;
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/*-
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* We limit use of the ladder only to the following cases:
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* - r := scalar * G
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* Fixed point mul: scalar != NULL && num == 0;
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* - r := scalars[0] * points[0]
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* Variable point mul: scalar == NULL && num == 1;
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* - r := scalar * G + scalars[0] * points[0]
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* used, e.g., in ECDSA verification: scalar != NULL && num == 1
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*
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* In any other case (num > 1) we use the default wNAF implementation.
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*
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* We also let the default implementation handle degenerate cases like group
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* order or cofactor set to 0.
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*/
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if (num > 1 || BN_is_zero(group->order) || BN_is_zero(group->cofactor))
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return ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx);
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if (scalar != NULL && num == 0)
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/* Fixed point multiplication */
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return ec_scalar_mul_ladder(group, r, scalar, NULL, ctx);
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if (scalar == NULL && num == 1)
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/* Variable point multiplication */
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return ec_scalar_mul_ladder(group, r, scalars[0], points[0], ctx);
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/*-
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* Double point multiplication:
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* r := scalar * G + scalars[0] * points[0]
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*/
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if ((t = EC_POINT_new(group)) == NULL) {
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ECerr(EC_F_EC_GF2M_SIMPLE_POINTS_MUL, ERR_R_MALLOC_FAILURE);
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return 0;
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}
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if (!ec_scalar_mul_ladder(group, t, scalar, NULL, ctx)
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|| !ec_scalar_mul_ladder(group, r, scalars[0], points[0], ctx)
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|| !EC_POINT_add(group, r, t, r, ctx))
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goto err;
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ret = 1;
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err:
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EC_POINT_free(t);
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return ret;
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}
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const EC_METHOD *EC_GF2m_simple_method(void)
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{
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static const EC_METHOD ret = {
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EC_FLAGS_DEFAULT_OCT,
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NID_X9_62_characteristic_two_field,
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ec_GF2m_simple_group_init,
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ec_GF2m_simple_group_finish,
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ec_GF2m_simple_group_clear_finish,
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ec_GF2m_simple_group_copy,
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ec_GF2m_simple_group_set_curve,
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ec_GF2m_simple_group_get_curve,
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ec_GF2m_simple_group_get_degree,
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ec_group_simple_order_bits,
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ec_GF2m_simple_group_check_discriminant,
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ec_GF2m_simple_point_init,
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ec_GF2m_simple_point_finish,
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ec_GF2m_simple_point_clear_finish,
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ec_GF2m_simple_point_copy,
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ec_GF2m_simple_point_set_to_infinity,
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0, /* set_Jprojective_coordinates_GFp */
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0, /* get_Jprojective_coordinates_GFp */
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ec_GF2m_simple_point_set_affine_coordinates,
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ec_GF2m_simple_point_get_affine_coordinates,
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0, /* point_set_compressed_coordinates */
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0, /* point2oct */
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0, /* oct2point */
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ec_GF2m_simple_add,
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ec_GF2m_simple_dbl,
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ec_GF2m_simple_invert,
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ec_GF2m_simple_is_at_infinity,
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ec_GF2m_simple_is_on_curve,
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ec_GF2m_simple_cmp,
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ec_GF2m_simple_make_affine,
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ec_GF2m_simple_points_make_affine,
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ec_GF2m_simple_points_mul,
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0, /* precompute_mult */
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0, /* have_precompute_mult */
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ec_GF2m_simple_field_mul,
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ec_GF2m_simple_field_sqr,
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ec_GF2m_simple_field_div,
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0, /* field_encode */
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0, /* field_decode */
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0, /* field_set_to_one */
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ec_key_simple_priv2oct,
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ec_key_simple_oct2priv,
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0, /* set private */
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ec_key_simple_generate_key,
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ec_key_simple_check_key,
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ec_key_simple_generate_public_key,
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0, /* keycopy */
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0, /* keyfinish */
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ecdh_simple_compute_key,
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0, /* field_inverse_mod_ord */
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0, /* blind_coordinates */
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ec_GF2m_simple_ladder_pre,
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ec_GF2m_simple_ladder_step,
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ec_GF2m_simple_ladder_post
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};
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return &ret;
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}
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#endif
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