Add blinding to an ECDSA signature

mattcaswell · mattcaswell · commit 0c27d793745c · 2018-06-13T16:23:54.000+01:00
Keegan Ryan (NCC Group) has demonstrated a side channel attack on an
ECDSA signature operation. During signing the signer calculates:

s:= k^-1 * (m + r * priv_key) mod order

The addition operation above provides a sufficient signal for a
flush+reload attack to derive the private key given sufficient signature
operations.

As a mitigation (based on a suggestion from Keegan) we add blinding to
the operation so that:

s := k^-1 * blind^-1 (blind * m + blind * r * priv_key) mod order

Since this attack is a localhost side channel only no CVE is assigned.

Reviewed-by: Rich Salz &lt;rsalz@openssl.org&gt;
diff --git a/CHANGES b/CHANGES
@@ -9,6 +9,10 @@
 
  Changes between 1.1.0h and 1.1.0i [xx XXX xxxx]
 
+  *) Add blinding to an ECDSA signature to protect against side channel attacks
+     discovered by Keegan Ryan (NCC Group).
+     [Matt Caswell]
+
   *) When unlocking a pass phrase protected PEM file or PKCS#8 container, we
      now allow empty (zero character) pass phrases.
      [Richard Levitte]
diff --git a/crypto/ec/ecdsa_ossl.c b/crypto/ec/ecdsa_ossl.c
@@ -210,7 +210,8 @@ ECDSA_SIG *ossl_ecdsa_sign_sig(const unsigned char *dgst, int dgst_len,
                                EC_KEY *eckey)
 {
     int ok = 0, i;
-    BIGNUM *kinv = NULL, *s, *m = NULL, *tmp = NULL;
+    BIGNUM *kinv = NULL, *s, *m = NULL, *tmp = NULL, *blind = NULL;
+    BIGNUM *blindm = NULL;
     const BIGNUM *order, *ckinv;
     BN_CTX *ctx = NULL;
     const EC_GROUP *group;
@@ -243,8 +244,18 @@ ECDSA_SIG *ossl_ecdsa_sign_sig(const unsigned char *dgst, int dgst_len,
     }
     s = ret->s;
 
-    if ((ctx = BN_CTX_new()) == NULL ||
-        (tmp = BN_new()) == NULL || (m = BN_new()) == NULL) {
+    ctx = BN_CTX_secure_new();
+    if (ctx == NULL) {
+        ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_MALLOC_FAILURE);
+        goto err;
+    }
+
+    BN_CTX_start(ctx);
+    tmp = BN_CTX_get(ctx);
+    m = BN_CTX_get(ctx);
+    blind = BN_CTX_get(ctx);
+    blindm = BN_CTX_get(ctx);
+    if (blindm == NULL) {
         ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_MALLOC_FAILURE);
         goto err;
     }
@@ -284,18 +295,64 @@ ECDSA_SIG *ossl_ecdsa_sign_sig(const unsigned char *dgst, int dgst_len,
             }
         }
 
-        if (!BN_mod_mul(tmp, priv_key, ret->r, order, ctx)) {
+        /*
+         * 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 := k^-1 * blind^-1 * (blind * m + blind * r * priv_key) mod order
+         */
+
+        /* Generate a blinding value */
+        do {
+            if (!BN_rand(blind, BN_num_bits(order) - 1, BN_RAND_TOP_ANY,
+                         BN_RAND_BOTTOM_ANY))
+                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)) {
             ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_BN_LIB);
             goto err;
         }
-        if (!BN_mod_add_quick(s, tmp, m, order)) {
+        if (!BN_mod_mul(tmp, tmp, ret->r, order, ctx)) {
             ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_BN_LIB);
             goto err;
         }
+
+        /* blindm := blind * m mod order */
+        if (!BN_mod_mul(blindm, blind, m, order, ctx)) {
+            ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_BN_LIB);
+            goto err;
+        }
+
+        /* s : = (blind * priv_key * r) + (blind * m) mod order */
+        if (!BN_mod_add_quick(s, tmp, blindm, order)) {
+            ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_BN_LIB);
+            goto err;
+        }
+
+        /* s:= s * blind^-1 mod order */
+        if (BN_mod_inverse(blind, blind, order, ctx) == NULL) {
+            ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_BN_LIB);
+            goto err;
+        }
+        if (!BN_mod_mul(s, s, blind, order, ctx)) {
+            ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_BN_LIB);
+            goto err;
+        }
+
+        /* s := s * k^-1 mod order */
         if (!BN_mod_mul(s, s, ckinv, order, ctx)) {
             ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_BN_LIB);
             goto err;
         }
+
         if (BN_is_zero(s)) {
             /*
              * if kinv and r have been supplied by the caller don't to
@@ -317,9 +374,8 @@ ECDSA_SIG *ossl_ecdsa_sign_sig(const unsigned char *dgst, int dgst_len,
         ECDSA_SIG_free(ret);
         ret = NULL;
     }
+    BN_CTX_end(ctx);
     BN_CTX_free(ctx);
-    BN_clear_free(m);
-    BN_clear_free(tmp);
     BN_clear_free(kinv);
     return ret;
 }
