Update pre9

This commit is contained in:
2018-08-01 15:34:01 +09:00
parent 46f6b5e2fe
commit 0961fd12de
113 changed files with 2568 additions and 901 deletions
+225 -7
View File
@@ -65,9 +65,9 @@ const EC_METHOD *EC_GFp_simple_method(void)
ecdh_simple_compute_key,
0, /* field_inverse_mod_ord */
ec_GFp_simple_blind_coordinates,
0, /* ladder_pre */
0, /* ladder_step */
0 /* ladder_post */
ec_GFp_simple_ladder_pre,
ec_GFp_simple_ladder_step,
ec_GFp_simple_ladder_post
};
return &ret;
@@ -1181,9 +1181,9 @@ int ec_GFp_simple_make_affine(const EC_GROUP *group, EC_POINT *point,
if (y == NULL)
goto err;
if (!EC_POINT_get_affine_coordinates_GFp(group, point, x, y, ctx))
if (!EC_POINT_get_affine_coordinates(group, point, x, y, ctx))
goto err;
if (!EC_POINT_set_affine_coordinates_GFp(group, point, x, y, ctx))
if (!EC_POINT_set_affine_coordinates(group, point, x, y, ctx))
goto err;
if (!point->Z_is_one) {
ECerr(EC_F_EC_GFP_SIMPLE_MAKE_AFFINE, ERR_R_INTERNAL_ERROR);
@@ -1418,6 +1418,224 @@ int ec_GFp_simple_blind_coordinates(const EC_GROUP *group, EC_POINT *p,
ret = 1;
err:
BN_CTX_end(ctx);
return ret;
BN_CTX_end(ctx);
return ret;
}
/*-
* Set s := p, r := 2p.
*
* For doubling we use Formula 3 from Izu-Takagi "A fast parallel elliptic curve
* multiplication resistant against side channel attacks" appendix, as described
* at
* https://hyperelliptic.org/EFD/g1p/auto-shortw-xz.html#doubling-dbl-2002-it-2
*
* The input point p will be in randomized Jacobian projective coords:
* x = X/Z**2, y=Y/Z**3
*
* The output points p, s, and r are converted to standard (homogeneous)
* projective coords:
* x = X/Z, y=Y/Z
*/
int ec_GFp_simple_ladder_pre(const EC_GROUP *group,
EC_POINT *r, EC_POINT *s,
EC_POINT *p, BN_CTX *ctx)
{
BIGNUM *t1, *t2, *t3, *t4, *t5, *t6 = NULL;
t1 = r->Z;
t2 = r->Y;
t3 = s->X;
t4 = r->X;
t5 = s->Y;
t6 = s->Z;
/* convert p: (X,Y,Z) -> (XZ,Y,Z**3) */
if (!group->meth->field_mul(group, p->X, p->X, p->Z, ctx)
|| !group->meth->field_sqr(group, t1, p->Z, ctx)
|| !group->meth->field_mul(group, p->Z, p->Z, t1, ctx)
/* r := 2p */
|| !group->meth->field_sqr(group, t2, p->X, ctx)
|| !group->meth->field_sqr(group, t3, p->Z, ctx)
|| !group->meth->field_mul(group, t4, t3, group->a, ctx)
|| !BN_mod_sub_quick(t5, t2, t4, group->field)
|| !BN_mod_add_quick(t2, t2, t4, group->field)
|| !group->meth->field_sqr(group, t5, t5, ctx)
|| !group->meth->field_mul(group, t6, t3, group->b, ctx)
|| !group->meth->field_mul(group, t1, p->X, p->Z, ctx)
|| !group->meth->field_mul(group, t4, t1, t6, ctx)
|| !BN_mod_lshift_quick(t4, t4, 3, group->field)
/* r->X coord output */
|| !BN_mod_sub_quick(r->X, t5, t4, group->field)
|| !group->meth->field_mul(group, t1, t1, t2, ctx)
|| !group->meth->field_mul(group, t2, t3, t6, ctx)
|| !BN_mod_add_quick(t1, t1, t2, group->field)
/* r->Z coord output */
|| !BN_mod_lshift_quick(r->Z, t1, 2, group->field)
|| !EC_POINT_copy(s, p))
return 0;
r->Z_is_one = 0;
s->Z_is_one = 0;
p->Z_is_one = 0;
return 1;
}
/*-
* Differential addition-and-doubling using Eq. (8) and (10) from Izu-Takagi
* "A fast parallel elliptic curve multiplication resistant against side channel
* attacks", as described at
* https://hyperelliptic.org/EFD/g1p/auto-shortw-xz.html#ladder-ladd-2002-it-3
*/
int ec_GFp_simple_ladder_step(const EC_GROUP *group,
EC_POINT *r, EC_POINT *s,
EC_POINT *p, BN_CTX *ctx)
{
int ret = 0;
BIGNUM *t0, *t1, *t2, *t3, *t4, *t5, *t6, *t7 = NULL;
BN_CTX_start(ctx);
t0 = BN_CTX_get(ctx);
t1 = BN_CTX_get(ctx);
t2 = BN_CTX_get(ctx);
t3 = BN_CTX_get(ctx);
t4 = BN_CTX_get(ctx);
t5 = BN_CTX_get(ctx);
t6 = BN_CTX_get(ctx);
t7 = BN_CTX_get(ctx);
if (t7 == NULL
|| !group->meth->field_mul(group, t0, r->X, s->X, ctx)
|| !group->meth->field_mul(group, t1, r->Z, s->Z, ctx)
|| !group->meth->field_mul(group, t2, r->X, s->Z, ctx)
|| !group->meth->field_mul(group, t3, r->Z, s->X, ctx)
|| !group->meth->field_mul(group, t4, group->a, t1, ctx)
|| !BN_mod_sub_quick(t4, t0, t4, group->field)
|| !BN_mod_add_quick(t5, t3, t2, group->field)
|| !group->meth->field_sqr(group, t4, t4, ctx)
|| !group->meth->field_mul(group, t5, t1, t5, ctx)
|| !BN_mod_lshift_quick(t0, group->b, 2, group->field)
|| !group->meth->field_mul(group, t5, t0, t5, ctx)
|| !BN_mod_sub_quick(t5, t4, t5, group->field)
/* s->X coord output */
|| !group->meth->field_mul(group, s->X, t5, p->Z, ctx)
|| !BN_mod_sub_quick(t3, t2, t3, group->field)
|| !group->meth->field_sqr(group, t3, t3, ctx)
/* s->Z coord output */
|| !group->meth->field_mul(group, s->Z, t3, p->X, ctx)
|| !group->meth->field_sqr(group, t2, r->X, ctx)
|| !group->meth->field_sqr(group, t4, r->Z, ctx)
|| !group->meth->field_mul(group, t1, t4, group->a, ctx)
|| !BN_mod_add_quick(t6, r->X, r->Z, group->field)
|| !group->meth->field_sqr(group, t6, t6, ctx)
|| !BN_mod_sub_quick(t6, t6, t2, group->field)
|| !BN_mod_sub_quick(t6, t6, t4, group->field)
|| !BN_mod_sub_quick(t7, t2, t1, group->field)
|| !group->meth->field_sqr(group, t7, t7, ctx)
|| !group->meth->field_mul(group, t5, t4, t6, ctx)
|| !group->meth->field_mul(group, t5, t0, t5, ctx)
/* r->X coord output */
|| !BN_mod_sub_quick(r->X, t7, t5, group->field)
|| !BN_mod_add_quick(t2, t2, t1, group->field)
|| !group->meth->field_sqr(group, t5, t4, ctx)
|| !group->meth->field_mul(group, t5, t5, t0, ctx)
|| !group->meth->field_mul(group, t6, t6, t2, ctx)
|| !BN_mod_lshift1_quick(t6, t6, group->field)
/* r->Z coord output */
|| !BN_mod_add_quick(r->Z, t5, t6, group->field))
goto err;
ret = 1;
err:
BN_CTX_end(ctx);
return ret;
}
/*-
* Recovers the y-coordinate of r using Eq. (8) from Brier-Joye, "Weierstrass
* Elliptic Curves and Side-Channel Attacks", modified to work in projective
* coordinates and return r in Jacobian projective coordinates.
*
* X4 = two*Y1*X2*Z3*Z2*Z1;
* Y4 = two*b*Z3*SQR(Z2*Z1) + Z3*(a*Z2*Z1+X1*X2)*(X1*Z2+X2*Z1) - X3*SQR(X1*Z2-X2*Z1);
* Z4 = two*Y1*Z3*SQR(Z2)*Z1;
*
* Z4 != 0 because:
* - Z1==0 implies p is at infinity, which would have caused an early exit in
* the caller;
* - Z2==0 implies r is at infinity (handled by the BN_is_zero(r->Z) branch);
* - Z3==0 implies s is at infinity (handled by the BN_is_zero(s->Z) branch);
* - Y1==0 implies p has order 2, so either r or s are infinity and handled by
* one of the BN_is_zero(...) branches.
*/
int ec_GFp_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, *t3, *t4, *t5, *t6 = NULL;
if (BN_is_zero(r->Z))
return EC_POINT_set_to_infinity(group, r);
if (BN_is_zero(s->Z)) {
/* (X,Y,Z) -> (XZ,YZ**2,Z) */
if (!group->meth->field_mul(group, r->X, p->X, p->Z, ctx)
|| !group->meth->field_sqr(group, r->Z, p->Z, ctx)
|| !group->meth->field_mul(group, r->Y, p->Y, r->Z, ctx)
|| !BN_copy(r->Z, p->Z)
|| !EC_POINT_invert(group, r, ctx))
return 0;
return 1;
}
BN_CTX_start(ctx);
t0 = BN_CTX_get(ctx);
t1 = BN_CTX_get(ctx);
t2 = BN_CTX_get(ctx);
t3 = BN_CTX_get(ctx);
t4 = BN_CTX_get(ctx);
t5 = BN_CTX_get(ctx);
t6 = BN_CTX_get(ctx);
if (t6 == NULL
|| !BN_mod_lshift1_quick(t0, p->Y, group->field)
|| !group->meth->field_mul(group, t1, r->X, p->Z, ctx)
|| !group->meth->field_mul(group, t2, r->Z, s->Z, ctx)
|| !group->meth->field_mul(group, t2, t1, t2, ctx)
|| !group->meth->field_mul(group, t3, t2, t0, ctx)
|| !group->meth->field_mul(group, t2, r->Z, p->Z, ctx)
|| !group->meth->field_sqr(group, t4, t2, ctx)
|| !BN_mod_lshift1_quick(t5, group->b, group->field)
|| !group->meth->field_mul(group, t4, t4, t5, ctx)
|| !group->meth->field_mul(group, t6, t2, group->a, ctx)
|| !group->meth->field_mul(group, t5, r->X, p->X, ctx)
|| !BN_mod_add_quick(t5, t6, t5, group->field)
|| !group->meth->field_mul(group, t6, r->Z, p->X, ctx)
|| !BN_mod_add_quick(t2, t6, t1, group->field)
|| !group->meth->field_mul(group, t5, t5, t2, ctx)
|| !BN_mod_sub_quick(t6, t6, t1, group->field)
|| !group->meth->field_sqr(group, t6, t6, ctx)
|| !group->meth->field_mul(group, t6, t6, s->X, ctx)
|| !BN_mod_add_quick(t4, t5, t4, group->field)
|| !group->meth->field_mul(group, t4, t4, s->Z, ctx)
|| !BN_mod_sub_quick(t4, t4, t6, group->field)
|| !group->meth->field_sqr(group, t5, r->Z, ctx)
|| !group->meth->field_mul(group, r->Z, p->Z, s->Z, ctx)
|| !group->meth->field_mul(group, r->Z, t5, r->Z, ctx)
|| !group->meth->field_mul(group, r->Z, r->Z, t0, ctx)
/* t3 := X, t4 := Y */
/* (X,Y,Z) -> (XZ,YZ**2,Z) */
|| !group->meth->field_mul(group, r->X, t3, r->Z, ctx)
|| !group->meth->field_sqr(group, t3, r->Z, ctx)
|| !group->meth->field_mul(group, r->Y, t4, t3, ctx))
goto err;
ret = 1;
err:
BN_CTX_end(ctx);
return ret;
}