Commit 83325a68 authored by Andy Polyakov's avatar Andy Polyakov
Browse files

ecdsa/ecs_ossl.c: revert blinding in ECDSA signature.



Originally suggested solution for "Return Of the Hidden Number Problem"
is arguably too expensive. While it has marginal impact on slower
curves, none to ~6%, optimized implementations suffer real penalties.
Most notably sign with P-256 went more than 2 times[!] slower. Instead,
just implement constant-time BN_mod_add_quick.

Reviewed-by: default avatarRich Salz <rsalz@openssl.org>
(Merged from https://github.com/openssl/openssl/pull/6810)

(cherry picked from commit 3fc7a9b9)

Resolved onflicts:
	crypto/ec/ecdsa_ossl.c
	crypto/include/internal/bn_int.h
parent c9046a05
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+60 −6
Original line number Diff line number Diff line
@@ -149,18 +149,72 @@ int BN_mod_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m,

/*
 * BN_mod_add variant that may be used if both a and b are non-negative and
 * less than m
 * less than m. The original algorithm was
 *
 *    if (!BN_uadd(r, a, b))
 *       return 0;
 *    if (BN_ucmp(r, m) >= 0)
 *       return BN_usub(r, r, m);
 *
 * which is replaced with addition, subtracting modulus, and conditional
 * move depending on whether or not subtraction borrowed.
 */
int BN_mod_add_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
int bn_mod_add_fixed_top(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
                         const BIGNUM *m)
{
    if (!BN_uadd(r, a, b))
    size_t i, ai, bi, mtop = m->top;
    BN_ULONG storage[1024 / BN_BITS2];
    BN_ULONG carry, temp, mask, *rp, *tp = storage;
    const BN_ULONG *ap, *bp;

    if (bn_wexpand(r, m->top) == NULL)
        return 0;

    if (mtop > sizeof(storage) / sizeof(storage[0])
        && (tp = OPENSSL_malloc(mtop * sizeof(BN_ULONG))) == NULL)
	return 0;
    if (BN_ucmp(r, m) >= 0)
        return BN_usub(r, r, m);

    ap = a->d != NULL ? a->d : tp;
    bp = b->d != NULL ? b->d : tp;

    for (i = 0, ai = 0, bi = 0, carry = 0; i < mtop;) {
        mask = (BN_ULONG)0 - ((i - a->top) >> (8 * sizeof(i) - 1));
        temp = ((ap[ai] & mask) + carry) & BN_MASK2;
        carry = (temp < carry);

        mask = (BN_ULONG)0 - ((i - b->top) >> (8 * sizeof(i) - 1));
        tp[i] = ((bp[bi] & mask) + temp) & BN_MASK2;
        carry += (tp[i] < temp);

        i++;
        ai += (i - a->dmax) >> (8 * sizeof(i) - 1);
        bi += (i - b->dmax) >> (8 * sizeof(i) - 1);
    }
    rp = r->d;
    carry -= bn_sub_words(rp, tp, m->d, mtop);
    for (i = 0; i < mtop; i++) {
        rp[i] = (carry & tp[i]) | (~carry & rp[i]);
        ((volatile BN_ULONG *)tp)[i] = 0;
    }
    r->top = mtop;

    if (tp != storage)
        OPENSSL_free(tp);

    return 1;
}

int BN_mod_add_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
                     const BIGNUM *m)
{
    int ret = bn_mod_add_fixed_top(r, a, b, m);

    if (ret)
        bn_correct_top(r);

    return ret;
}

int BN_mod_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m,
               BN_CTX *ctx)
{
+2 −0
Original line number Diff line number Diff line
@@ -9,3 +9,5 @@ int bn_mul_mont_fixed_top(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
                          BN_MONT_CTX *mont, BN_CTX *ctx);
int bn_to_mont_fixed_top(BIGNUM *r, const BIGNUM *a, BN_MONT_CTX *mont,
                         BN_CTX *ctx);
int bn_mod_add_fixed_top(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
                         const BIGNUM *m);
+15 −67
Original line number Diff line number Diff line
@@ -252,7 +252,6 @@ static ECDSA_SIG *ecdsa_do_sign(const unsigned char *dgst, int dgst_len,
{
    int ok = 0, i;
    BIGNUM *kinv = NULL, *s, *m = NULL, *tmp = NULL, *order = NULL;
    BIGNUM *blind = NULL, *blindm = NULL;
    const BIGNUM *ckinv;
    BN_CTX *ctx = NULL;
    const EC_GROUP *group;
@@ -270,25 +269,14 @@ static ECDSA_SIG *ecdsa_do_sign(const unsigned char *dgst, int dgst_len,
    }

    ret = ECDSA_SIG_new();
    if (ret == NULL) {
    if (!ret) {
        ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_MALLOC_FAILURE);
        return NULL;
    }
    s = ret->s;

    ctx = BN_CTX_new();
    if (ctx == NULL) {
        ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_MALLOC_FAILURE);
        goto err;
    }

    BN_CTX_start(ctx);
    order = BN_CTX_get(ctx);
    tmp = BN_CTX_get(ctx);
    m = BN_CTX_get(ctx);
    blind = BN_CTX_get(ctx);
    blindm = BN_CTX_get(ctx);
    if (blindm == NULL) {
    if ((ctx = BN_CTX_new()) == NULL || (order = BN_new()) == NULL ||
        (tmp = BN_new()) == NULL || (m = BN_new()) == NULL) {
        ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_MALLOC_FAILURE);
        goto err;
    }
@@ -327,70 +315,26 @@ static ECDSA_SIG *ecdsa_do_sign(const unsigned char *dgst, int dgst_len,
            }
        }

        /*
         * The normal signature calculation is:
         *
         *   s := k^-1 * (m + r * priv_key) mod order
         *
         * We will blind this to protect against side channel attacks
         *
         *   s := blind^-1 * k^-1 * (blind * m + blind * r * priv_key) mod order
         */

        /* Generate a blinding value */
        do {
            if (!BN_rand(blind, BN_num_bits(order) - 1, -1, 0))
                goto err;
        } while (BN_is_zero(blind));
        BN_set_flags(blind, BN_FLG_CONSTTIME);
        BN_set_flags(blindm, BN_FLG_CONSTTIME);
        BN_set_flags(tmp, BN_FLG_CONSTTIME);

        /* tmp := blind * priv_key * r mod order */
        if (!BN_mod_mul(tmp, blind, priv_key, order, ctx)) {
            ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_BN_LIB);
            goto err;
        }
        if (!BN_mod_mul(tmp, tmp, ret->r, order, ctx)) {
            ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_BN_LIB);
            goto err;
        }

        /* blindm := blind * m mod order */
        if (!BN_mod_mul(blindm, blind, m, order, ctx)) {
        if (!BN_mod_mul(tmp, priv_key, ret->r, order, ctx)) {
            ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_BN_LIB);
            goto err;
        }

        /* s : = (blind * priv_key * r) + (blind * m) mod order */
        if (!BN_mod_add_quick(s, tmp, blindm, order)) {
        if (!BN_mod_add_quick(s, tmp, m, order)) {
            ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_BN_LIB);
            goto err;
        }

        /* s := s * k^-1 mod order */
        if (!BN_mod_mul(s, s, ckinv, order, ctx)) {
            ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_BN_LIB);
            goto err;
        }

        /* s:= s * blind^-1 mod order */
        if (BN_mod_inverse(blind, blind, order, ctx) == NULL) {
            ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_BN_LIB);
            goto err;
        }
        if (!BN_mod_mul(s, s, blind, order, ctx)) {
            ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_BN_LIB);
            goto err;
        }

        if (BN_is_zero(s)) {
            /*
             * if kinv and r have been supplied by the caller don't to
             * generate new kinv and r values
             */
            if (in_kinv != NULL && in_r != NULL) {
                ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ECDSA_R_NEED_NEW_SETUP_VALUES);
                ECDSAerr(ECDSA_F_ECDSA_DO_SIGN,
                         ECDSA_R_NEED_NEW_SETUP_VALUES);
                goto err;
            }
        } else
@@ -405,11 +349,15 @@ static ECDSA_SIG *ecdsa_do_sign(const unsigned char *dgst, int dgst_len,
        ECDSA_SIG_free(ret);
        ret = NULL;
    }
    if (ctx != NULL) {
        BN_CTX_end(ctx);
    if (ctx)
        BN_CTX_free(ctx);
    }
    if (kinv != NULL)
    if (m)
        BN_clear_free(m);
    if (tmp)
        BN_clear_free(tmp);
    if (order)
        BN_free(order);
    if (kinv)
        BN_clear_free(kinv);
    return ret;
}