Update pre9
This commit is contained in:
+114
-81
@@ -108,10 +108,9 @@ void EC_ec_pre_comp_free(EC_PRE_COMP *pre)
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} while(0)
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/*-
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* This functions computes (in constant time) a point multiplication over the
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* EC group.
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*
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* At a high level, it is Montgomery ladder with conditional swaps.
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* This functions computes a single point multiplication over the EC group,
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* using, at a high level, a Montgomery ladder with conditional swaps, with
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* various timing attack defenses.
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*
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* It performs either a fixed point multiplication
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* (scalar * generator)
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@@ -119,51 +118,85 @@ void EC_ec_pre_comp_free(EC_PRE_COMP *pre)
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* (scalar * point)
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* when point is not NULL.
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*
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* scalar should be in the range [0,n) otherwise all constant time bets are off.
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* `scalar` cannot be NULL and should be in the range [0,n) otherwise all
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* constant time bets are off (where n is the cardinality of the EC group).
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*
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* NB: This says nothing about EC_POINT_add and EC_POINT_dbl,
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* which of course are not constant time themselves.
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* This function expects `group->order` and `group->cardinality` to be well
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* defined and non-zero: it fails with an error code otherwise.
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*
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* The product is stored in r.
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* NB: This says nothing about the constant-timeness of the ladder step
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* implementation (i.e., the default implementation is based on EC_POINT_add and
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* EC_POINT_dbl, which of course are not constant time themselves) or the
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* underlying multiprecision arithmetic.
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*
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* The product is stored in `r`.
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*
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* This is an internal function: callers are in charge of ensuring that the
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* input parameters `group`, `r`, `scalar` and `ctx` are not NULL.
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*
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* Returns 1 on success, 0 otherwise.
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*/
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static int ec_mul_consttime(const EC_GROUP *group, EC_POINT *r,
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const BIGNUM *scalar, const EC_POINT *point,
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BN_CTX *ctx)
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int ec_scalar_mul_ladder(const EC_GROUP *group, EC_POINT *r,
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const BIGNUM *scalar, const EC_POINT *point,
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BN_CTX *ctx)
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{
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int i, cardinality_bits, group_top, kbit, pbit, Z_is_one;
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EC_POINT *p = NULL;
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EC_POINT *s = NULL;
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BIGNUM *k = NULL;
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BIGNUM *lambda = NULL;
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BIGNUM *cardinality = NULL;
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BN_CTX *new_ctx = NULL;
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int ret = 0;
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if (ctx == NULL && (ctx = new_ctx = BN_CTX_secure_new()) == NULL)
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/* early exit if the input point is the point at infinity */
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if (point != NULL && EC_POINT_is_at_infinity(group, point))
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return EC_POINT_set_to_infinity(group, r);
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if (BN_is_zero(group->order)) {
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ECerr(EC_F_EC_SCALAR_MUL_LADDER, EC_R_UNKNOWN_ORDER);
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return 0;
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}
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if (BN_is_zero(group->cofactor)) {
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ECerr(EC_F_EC_SCALAR_MUL_LADDER, EC_R_UNKNOWN_COFACTOR);
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return 0;
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}
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BN_CTX_start(ctx);
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s = EC_POINT_new(group);
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if (s == NULL)
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if (((p = EC_POINT_new(group)) == NULL)
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|| ((s = EC_POINT_new(group)) == NULL)) {
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ECerr(EC_F_EC_SCALAR_MUL_LADDER, ERR_R_MALLOC_FAILURE);
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goto err;
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if (point == NULL) {
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if (!EC_POINT_copy(s, group->generator))
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goto err;
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} else {
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if (!EC_POINT_copy(s, point))
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goto err;
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}
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if (point == NULL) {
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if (!EC_POINT_copy(p, group->generator)) {
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ECerr(EC_F_EC_SCALAR_MUL_LADDER, ERR_R_EC_LIB);
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goto err;
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}
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} else {
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if (!EC_POINT_copy(p, point)) {
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ECerr(EC_F_EC_SCALAR_MUL_LADDER, ERR_R_EC_LIB);
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goto err;
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}
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}
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EC_POINT_BN_set_flags(p, BN_FLG_CONSTTIME);
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EC_POINT_BN_set_flags(r, BN_FLG_CONSTTIME);
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EC_POINT_BN_set_flags(s, BN_FLG_CONSTTIME);
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cardinality = BN_CTX_get(ctx);
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lambda = BN_CTX_get(ctx);
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k = BN_CTX_get(ctx);
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if (k == NULL || !BN_mul(cardinality, group->order, group->cofactor, ctx))
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if (k == NULL) {
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ECerr(EC_F_EC_SCALAR_MUL_LADDER, ERR_R_MALLOC_FAILURE);
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goto err;
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}
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if (!BN_mul(cardinality, group->order, group->cofactor, ctx)) {
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ECerr(EC_F_EC_SCALAR_MUL_LADDER, ERR_R_BN_LIB);
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goto err;
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}
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/*
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* Group cardinalities are often on a word boundary.
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@@ -174,11 +207,15 @@ static int ec_mul_consttime(const EC_GROUP *group, EC_POINT *r,
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cardinality_bits = BN_num_bits(cardinality);
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group_top = bn_get_top(cardinality);
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if ((bn_wexpand(k, group_top + 1) == NULL)
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|| (bn_wexpand(lambda, group_top + 1) == NULL))
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|| (bn_wexpand(lambda, group_top + 1) == NULL)) {
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ECerr(EC_F_EC_SCALAR_MUL_LADDER, ERR_R_BN_LIB);
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goto err;
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}
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if (!BN_copy(k, scalar))
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if (!BN_copy(k, scalar)) {
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ECerr(EC_F_EC_SCALAR_MUL_LADDER, ERR_R_BN_LIB);
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goto err;
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}
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BN_set_flags(k, BN_FLG_CONSTTIME);
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@@ -187,15 +224,21 @@ static int ec_mul_consttime(const EC_GROUP *group, EC_POINT *r,
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* this is an unusual input, and we don't guarantee
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* constant-timeness
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*/
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if (!BN_nnmod(k, k, cardinality, ctx))
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if (!BN_nnmod(k, k, cardinality, ctx)) {
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ECerr(EC_F_EC_SCALAR_MUL_LADDER, ERR_R_BN_LIB);
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goto err;
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}
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}
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if (!BN_add(lambda, k, cardinality))
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if (!BN_add(lambda, k, cardinality)) {
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ECerr(EC_F_EC_SCALAR_MUL_LADDER, ERR_R_BN_LIB);
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goto err;
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}
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BN_set_flags(lambda, BN_FLG_CONSTTIME);
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if (!BN_add(k, lambda, cardinality))
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if (!BN_add(k, lambda, cardinality)) {
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ECerr(EC_F_EC_SCALAR_MUL_LADDER, ERR_R_BN_LIB);
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goto err;
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}
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/*
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* lambda := scalar + cardinality
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* k := scalar + 2*cardinality
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@@ -209,8 +252,13 @@ static int ec_mul_consttime(const EC_GROUP *group, EC_POINT *r,
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|| (bn_wexpand(s->Z, group_top) == NULL)
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|| (bn_wexpand(r->X, group_top) == NULL)
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|| (bn_wexpand(r->Y, group_top) == NULL)
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|| (bn_wexpand(r->Z, group_top) == NULL))
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|| (bn_wexpand(r->Z, group_top) == NULL)
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|| (bn_wexpand(p->X, group_top) == NULL)
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|| (bn_wexpand(p->Y, group_top) == NULL)
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|| (bn_wexpand(p->Z, group_top) == NULL)) {
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ECerr(EC_F_EC_SCALAR_MUL_LADDER, ERR_R_BN_LIB);
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goto err;
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}
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/*-
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* Apply coordinate blinding for EC_POINT.
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@@ -220,19 +268,19 @@ static int ec_mul_consttime(const EC_GROUP *group, EC_POINT *r,
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* success or if coordinate blinding is not implemented for this
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* group.
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*/
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if (!ec_point_blind_coordinates(group, s, ctx))
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if (!ec_point_blind_coordinates(group, p, ctx)) {
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ECerr(EC_F_EC_SCALAR_MUL_LADDER, EC_R_POINT_COORDINATES_BLIND_FAILURE);
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goto err;
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}
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/* Initialize the Montgomery ladder */
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if (!ec_point_ladder_pre(group, r, s, p, ctx)) {
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ECerr(EC_F_EC_SCALAR_MUL_LADDER, EC_R_LADDER_PRE_FAILURE);
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goto err;
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}
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/* top bit is a 1, in a fixed pos */
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if (!EC_POINT_copy(r, s))
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goto err;
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EC_POINT_BN_set_flags(r, BN_FLG_CONSTTIME);
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if (!EC_POINT_dbl(group, s, s, ctx))
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goto err;
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pbit = 0;
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pbit = 1;
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#define EC_POINT_CSWAP(c, a, b, w, t) do { \
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BN_consttime_swap(c, (a)->X, (b)->X, w); \
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@@ -304,10 +352,12 @@ static int ec_mul_consttime(const EC_GROUP *group, EC_POINT *r,
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for (i = cardinality_bits - 1; i >= 0; i--) {
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kbit = BN_is_bit_set(k, i) ^ pbit;
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EC_POINT_CSWAP(kbit, r, s, group_top, Z_is_one);
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if (!EC_POINT_add(group, s, r, s, ctx))
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goto err;
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if (!EC_POINT_dbl(group, r, r, ctx))
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/* Perform a single step of the Montgomery ladder */
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if (!ec_point_ladder_step(group, r, s, p, ctx)) {
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ECerr(EC_F_EC_SCALAR_MUL_LADDER, EC_R_LADDER_STEP_FAILURE);
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goto err;
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}
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/*
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* pbit logic merges this cswap with that of the
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* next iteration
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@@ -318,12 +368,18 @@ static int ec_mul_consttime(const EC_GROUP *group, EC_POINT *r,
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EC_POINT_CSWAP(pbit, r, s, group_top, Z_is_one);
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#undef EC_POINT_CSWAP
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/* Finalize ladder (and recover full point coordinates) */
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if (!ec_point_ladder_post(group, r, s, p, ctx)) {
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ECerr(EC_F_EC_SCALAR_MUL_LADDER, EC_R_LADDER_POST_FAILURE);
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goto err;
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}
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ret = 1;
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err:
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EC_POINT_free(p);
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EC_POINT_free(s);
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BN_CTX_end(ctx);
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BN_CTX_free(new_ctx);
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return ret;
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}
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@@ -355,7 +411,6 @@ int ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
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size_t num, const EC_POINT *points[], const BIGNUM *scalars[],
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BN_CTX *ctx)
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{
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BN_CTX *new_ctx = NULL;
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const EC_POINT *generator = NULL;
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EC_POINT *tmp = NULL;
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size_t totalnum;
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@@ -380,56 +435,35 @@ int ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
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* precomputation is not available */
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int ret = 0;
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if (!ec_point_is_compat(r, group)) {
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ECerr(EC_F_EC_WNAF_MUL, EC_R_INCOMPATIBLE_OBJECTS);
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return 0;
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}
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if ((scalar == NULL) && (num == 0)) {
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return EC_POINT_set_to_infinity(group, r);
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}
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if (!BN_is_zero(group->order) && !BN_is_zero(group->cofactor)) {
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/*-
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* Handle the common cases where the scalar is secret, enforcing a constant
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* time scalar multiplication algorithm.
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* Handle the common cases where the scalar is secret, enforcing a
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* scalar multiplication implementation based on a Montgomery ladder,
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* with various timing attack defenses.
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*/
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if ((scalar != NULL) && (num == 0)) {
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/*-
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* In this case we want to compute scalar * GeneratorPoint: this
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* codepath is reached most prominently by (ephemeral) key generation
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* of EC cryptosystems (i.e. ECDSA keygen and sign setup, ECDH
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* keygen/first half), where the scalar is always secret. This is why
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* we ignore if BN_FLG_CONSTTIME is actually set and we always call the
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* constant time version.
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* codepath is reached most prominently by (ephemeral) key
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* generation of EC cryptosystems (i.e. ECDSA keygen and sign setup,
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* ECDH keygen/first half), where the scalar is always secret. This
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* is why we ignore if BN_FLG_CONSTTIME is actually set and we
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* always call the ladder version.
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*/
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return ec_mul_consttime(group, r, scalar, NULL, ctx);
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return ec_scalar_mul_ladder(group, r, scalar, NULL, ctx);
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}
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if ((scalar == NULL) && (num == 1)) {
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/*-
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* In this case we want to compute scalar * GenericPoint: this codepath
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* is reached most prominently by the second half of ECDH, where the
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* secret scalar is multiplied by the peer's public point. To protect
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* the secret scalar, we ignore if BN_FLG_CONSTTIME is actually set and
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* we always call the constant time version.
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* In this case we want to compute scalar * VariablePoint: this
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* codepath is reached most prominently by the second half of ECDH,
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* where the secret scalar is multiplied by the peer's public point.
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* To protect the secret scalar, we ignore if BN_FLG_CONSTTIME is
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* actually set and we always call the ladder version.
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*/
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return ec_mul_consttime(group, r, scalars[0], points[0], ctx);
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return ec_scalar_mul_ladder(group, r, scalars[0], points[0], ctx);
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}
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}
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for (i = 0; i < num; i++) {
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if (!ec_point_is_compat(points[i], group)) {
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ECerr(EC_F_EC_WNAF_MUL, EC_R_INCOMPATIBLE_OBJECTS);
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return 0;
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}
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}
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if (ctx == NULL) {
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ctx = new_ctx = BN_CTX_new();
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if (ctx == NULL)
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goto err;
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}
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if (scalar != NULL) {
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generator = EC_GROUP_get0_generator(group);
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if (generator == NULL) {
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@@ -736,7 +770,6 @@ int ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
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ret = 1;
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err:
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BN_CTX_free(new_ctx);
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EC_POINT_free(tmp);
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OPENSSL_free(wsize);
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OPENSSL_free(wNAF_len);
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