vboot_reference: Add support for 2048-bit exponent 3 keys

This also adds the required tests (keys, testcases).

BRANCH=none
BUG=chromium:684354
TEST=make runtests

Change-Id: I5e148f8792ea325f813d76089271f3c4bcc2935d
Reviewed-on: https://chromium-review.googlesource.com/438951
Commit-Ready: Nicolas Boichat <drinkcat@chromium.org>
Tested-by: Nicolas Boichat <drinkcat@chromium.org>
Reviewed-by: Randall Spangler <rspangler@chromium.org>
diff --git a/firmware/2lib/2rsa.c b/firmware/2lib/2rsa.c
index 7862b13..48e1ec3 100644
--- a/firmware/2lib/2rsa.c
+++ b/firmware/2lib/2rsa.c
@@ -73,6 +73,25 @@
 }
 
 /**
+ * Montgomery c[] += 0 * b[] / R % mod
+ */
+static void montMulAdd0(const struct vb2_public_key *key,
+			uint32_t *c,
+			const uint32_t *b)
+{
+	uint32_t d0 = c[0] * key->n0inv;
+	uint64_t B = (uint64_t)d0 * key->n[0] + c[0];
+	uint32_t i;
+
+	for (i = 1; i < key->arrsize; ++i) {
+		B = (B >> 32) + (uint64_t)d0 * key->n[i] + c[i];
+		c[i - 1] = (uint32_t)B;
+	}
+
+	c[i - 1] = B >> 32;
+}
+
+/**
  * Montgomery c[] = a[] * b[] / R % mod
  */
 static void montMul(const struct vb2_public_key *key,
@@ -89,16 +108,32 @@
 	}
 }
 
+/* Montgomery c[] = a[] * 1 / R % key. */
+static void montMul1(const struct vb2_public_key *key,
+		     uint32_t *c,
+		     const uint32_t *a)
+{
+	int i;
+
+	for (i = 0; i < key->arrsize; ++i)
+		c[i] = 0;
+
+	montMulAdd(key, c, 1, a);
+	for (i = 1; i < key->arrsize; ++i)
+		montMulAdd0(key, c, a);
+}
+
 /**
- * In-place public exponentiation. (65537}
+ * In-place public exponentiation.
  *
  * @param key		Key to use in signing
  * @param inout		Input and output big-endian byte array
  * @param workbuf32	Work buffer; caller must verify this is
  *			(3 * key->arrsize) elements long.
+ * @param exp		RSA public exponent: either 65537 (F4) or 3
  */
-static void modpowF4(const struct vb2_public_key *key, uint8_t *inout,
-		    uint32_t *workbuf32)
+static void modpow(const struct vb2_public_key *key, uint8_t *inout,
+		uint32_t *workbuf32, int exp)
 {
 	uint32_t *a = workbuf32;
 	uint32_t *aR = a + key->arrsize;
@@ -117,12 +152,18 @@
 	}
 
 	montMul(key, aR, a, key->rr);  /* aR = a * RR / R mod M   */
-	for (i = 0; i < 16; i+=2) {
-		montMul(key, aaR, aR, aR);  /* aaR = aR * aR / R mod M */
-		montMul(key, aR, aaR, aaR);  /* aR = aaR * aaR / R mod M */
+	if (exp == 3) {
+		montMul(key, aaR, aR, aR); /* aaR = aR * aR / R mod M */
+		montMul(key, a, aaR, aR); /* a = aaR * aR / R mod M */
+		montMul1(key, aaa, a); /* aaa = a * 1 / R mod M */
+	} else {
+		/* Exponent 65537 */
+		for (i = 0; i < 16; i+=2) {
+			montMul(key, aaR, aR, aR);  /* aaR = aR * aR / R mod M */
+			montMul(key, aR, aaR, aaR);  /* aR = aaR * aaR / R mod M */
+		}
+		montMul(key, aaa, aR, a);  /* aaa = aR * a / R mod M */
 	}
-	montMul(key, aaa, aR, a);  /* aaa = aR * a / R mod M */
-
 
 	/* Make sure aaa < mod; aaa is at most 1x mod too large. */
 	if (vb2_mont_ge(key, aaa)) {
@@ -153,6 +194,9 @@
 	VB2_SIG_RSA8192,
 	VB2_SIG_RSA8192,
 	VB2_SIG_RSA8192,
+	VB2_SIG_RSA2048_EXP3,
+	VB2_SIG_RSA2048_EXP3,
+	VB2_SIG_RSA2048_EXP3,
 };
 
 /**
@@ -178,6 +222,7 @@
 	case VB2_SIG_RSA1024:
 		return 1024 / 8;
 	case VB2_SIG_RSA2048:
+	case VB2_SIG_RSA2048_EXP3:
 		return 2048 / 8;
 	case VB2_SIG_RSA4096:
 		return 4096 / 8;
@@ -188,6 +233,27 @@
 	}
 }
 
+/**
+ * Return the exponent used by an RSA algorithm
+ *
+ * @param sig_alg	Signature algorithm
+ * @return The exponent to use (3 or 65537(F4)), or 0 if error.
+ */
+static uint32_t vb2_rsa_exponent(enum vb2_signature_algorithm sig_alg)
+{
+	switch (sig_alg) {
+	case VB2_SIG_RSA1024:
+	case VB2_SIG_RSA2048:
+	case VB2_SIG_RSA4096:
+	case VB2_SIG_RSA8192:
+		return 65537;
+	case VB2_SIG_RSA2048_EXP3:
+		return 3;
+	default:
+		return 0;
+	}
+}
+
 uint32_t vb2_packed_key_size(enum vb2_signature_algorithm sig_alg)
 {
 	uint32_t sig_size = vb2_rsa_sig_size(sig_alg);
@@ -298,13 +364,15 @@
 	uint32_t key_bytes;
 	int sig_size;
 	int pad_size;
+	int exp;
 	int rv;
 
 	if (!key || !sig || !digest)
 		return VB2_ERROR_RSA_VERIFY_PARAM;
 
 	sig_size = vb2_rsa_sig_size(key->sig_alg);
-	if (!sig_size) {
+	exp = vb2_rsa_exponent(key->sig_alg);
+	if (!sig_size || !exp) {
 		VB2_DEBUG("Invalid signature type!\n");
 		return VB2_ERROR_RSA_VERIFY_ALGORITHM;
 	}
@@ -322,7 +390,7 @@
 		return VB2_ERROR_RSA_VERIFY_WORKBUF;
 	}
 
-	modpowF4(key, sig, workbuf32);
+	modpow(key, sig, workbuf32, exp);
 
 	vb2_workbuf_free(&wblocal, 3 * key_bytes);
 
diff --git a/firmware/2lib/2sha_utility.c b/firmware/2lib/2sha_utility.c
index dd74f29..7193091 100644
--- a/firmware/2lib/2sha_utility.c
+++ b/firmware/2lib/2sha_utility.c
@@ -40,6 +40,9 @@
 	CTH_SHA1,
 	CTH_SHA256,
 	CTH_SHA512,
+	CTH_SHA1,
+	CTH_SHA256,
+	CTH_SHA512,
 };
 
 enum vb2_hash_algorithm vb2_crypto_to_hash(uint32_t algorithm)
diff --git a/firmware/2lib/include/2crypto.h b/firmware/2lib/include/2crypto.h
index da1c2dd..a33b536 100644
--- a/firmware/2lib/include/2crypto.h
+++ b/firmware/2lib/include/2crypto.h
@@ -23,7 +23,9 @@
 	VB2_ALG_RSA8192_SHA1   = 9,
 	VB2_ALG_RSA8192_SHA256 = 10,
 	VB2_ALG_RSA8192_SHA512 = 11,
-
+	VB2_ALG_RSA2048_EXP3_SHA1   = 12,
+	VB2_ALG_RSA2048_EXP3_SHA256 = 13,
+	VB2_ALG_RSA2048_EXP3_SHA512 = 14,
 	/* Number of algorithms */
 	VB2_ALG_COUNT
 };
@@ -44,6 +46,7 @@
 	VB2_SIG_RSA2048 = 3,
 	VB2_SIG_RSA4096 = 4,
 	VB2_SIG_RSA8192 = 5,
+	VB2_SIG_RSA2048_EXP3 = 6,
 
 	/* Last index. Don't add anything below. */
 	VB2_SIG_ALG_COUNT,
diff --git a/futility/file_type_usbpd1.c b/futility/file_type_usbpd1.c
index 8143085..131e003 100644
--- a/futility/file_type_usbpd1.c
+++ b/futility/file_type_usbpd1.c
@@ -256,6 +256,7 @@
  */
 static enum vb2_signature_algorithm sigs[] = {
 	VB2_SIG_RSA2048,
+	VB2_SIG_RSA2048_EXP3,
 	VB2_SIG_RSA1024,
 	VB2_SIG_RSA4096,
 	VB2_SIG_RSA8192,
@@ -277,6 +278,7 @@
 	case VB2_SIG_RSA1024:
 		return 272;
 	case VB2_SIG_RSA2048:
+	case VB2_SIG_RSA2048_EXP3:
 		return 528;
 	case VB2_SIG_RSA4096:
 		return 1040;
diff --git a/host/lib21/host_key.c b/host/lib21/host_key.c
index ecb7328..be36df7 100644
--- a/host/lib21/host_key.c
+++ b/host/lib21/host_key.c
@@ -23,6 +23,7 @@
 	{"RSA2048", VB2_SIG_RSA2048},
 	{"RSA4096", VB2_SIG_RSA4096},
 	{"RSA8192", VB2_SIG_RSA8192},
+	{"RSA2048EXP3", VB2_SIG_RSA2048_EXP3},
 	{0, 0}
 };
 
@@ -403,7 +404,10 @@
 	if (vb2_read_file(filename, &key_data, &key_size))
 		return VB2_ERROR_READ_KEYB_DATA;
 
-	/* Guess the signature algorithm from the key size */
+	/* Guess the signature algorithm from the key size
+	 * Note: This only considers exponent F4 keys, as there is no way to
+	 * distinguish between exp 3 and F4 based on size. Vboot API 2.1 is
+	 * required to make proper use of exp 3 keys. */
 	for (sig_alg = VB2_SIG_RSA1024; sig_alg <= VB2_SIG_RSA8192; sig_alg++) {
 		if (key_size == vb2_packed_key_size(sig_alg))
 			break;
@@ -560,17 +564,27 @@
 
 enum vb2_signature_algorithm vb2_rsa_sig_alg(struct rsa_st *rsa)
 {
+	int exp = BN_get_word(rsa->e);
 	int bits = BN_num_bits(rsa->n);
 
-	switch (bits) {
-	case 1024:
-		return VB2_SIG_RSA1024;
-	case 2048:
-		return VB2_SIG_RSA2048;
-	case 4096:
-		return VB2_SIG_RSA4096;
-	case 8192:
-		return VB2_SIG_RSA8192;
+	switch (exp) {
+	case RSA_3:
+		switch (bits) {
+		case 2048:
+			return VB2_SIG_RSA2048_EXP3;
+		}
+		break;
+	case RSA_F4:
+		switch (bits) {
+		case 1024:
+			return VB2_SIG_RSA1024;
+		case 2048:
+			return VB2_SIG_RSA2048;
+		case 4096:
+			return VB2_SIG_RSA4096;
+		case 8192:
+			return VB2_SIG_RSA8192;
+		}
 	}
 
 	/* no clue */
diff --git a/tests/common.sh b/tests/common.sh
index 2b017cc..78a47fa 100644
--- a/tests/common.sh
+++ b/tests/common.sh
@@ -28,7 +28,7 @@
 COL_STOP='\E[0;m'
 
 hash_algos=( sha1 sha256 sha512 )
-key_lengths=( 1024 2048 4096 8192 )
+key_lengths=( 1024 2048 4096 8192 2048_exp3 )
 
 function happy {
   echo -e "${COL_GREEN}$*${COL_STOP}" 1>&2
diff --git a/tests/futility/test_show_rwsig.sh b/tests/futility/test_show_rwsig.sh
index 7ff2557..915842d 100755
--- a/tests/futility/test_show_rwsig.sh
+++ b/tests/futility/test_show_rwsig.sh
@@ -13,7 +13,7 @@
 TESTKEYS=${SRCDIR}/tests/testkeys
 
 # Do not test 8192 as the signature length is > 1024 bytes
-SIGS="1024 2048 4096"
+SIGS="1024 2048 4096 2048_exp3"
 HASHES="SHA1 SHA256 SHA512"
 
 set -o pipefail
diff --git a/tests/gen_test_keys.sh b/tests/gen_test_keys.sh
index dbb1741..04315ac 100755
--- a/tests/gen_test_keys.sh
+++ b/tests/gen_test_keys.sh
@@ -25,7 +25,15 @@
       continue
     fi
 
-    openssl genrsa -F4 -out ${key_base}.pem $i
+    # Extract exponent from key_length name, if necessary
+    exp="F4"
+    bits=$i
+    if [ "${i##*_exp}" != "${i}" ]; then
+        exp="${i##*_exp}"
+        bits="${i%%_exp${exp}}"
+    fi
+
+    openssl genrsa -${exp} -out ${key_base}.pem ${bits}
     # Generate self-signed certificate from key.
     openssl req -batch -new -x509 -key ${key_base}.pem \
       -out ${key_base}.crt
diff --git a/tests/testcases/test_file.rsa2048_exp3_sha1.sig b/tests/testcases/test_file.rsa2048_exp3_sha1.sig
new file mode 100644
index 0000000..75cd3ba
--- /dev/null
+++ b/tests/testcases/test_file.rsa2048_exp3_sha1.sig
Binary files differ
diff --git a/tests/testcases/test_file.rsa2048_exp3_sha256.sig b/tests/testcases/test_file.rsa2048_exp3_sha256.sig
new file mode 100644
index 0000000..1192c8e
--- /dev/null
+++ b/tests/testcases/test_file.rsa2048_exp3_sha256.sig
@@ -0,0 +1,2 @@
+Û »_ñ#ٌ%:ê¥a¨olÂlnLN¨„A¤UÊ©u4yÑ·_é02úÛmÔ©Ê*aÿ¶.Ъ‚ÒÉøçõ§aÎÝ-¸ÂÍf@9Á+‰é"×ýù+|+»Yx¡H4¸ðê~ÒƛVWÄ<vO5:–óùç@8€ébp'äXzéLóÈLñ©Qß÷èýÙ4
+J¡©ÕÉ~6º ÙiËQƒ¢C9]SìÖa qOnˆÜ³lÚî_x-iÉënƒuy¤zѶKi2|xä½ùԂÉÏý¹IVgº–·=Âݬ»~ÉØGΰŽ^Ü u¤ƒ7T•È˜ =Kk,à%¹¥*…ÐË
\ No newline at end of file
diff --git a/tests/testcases/test_file.rsa2048_exp3_sha512.sig b/tests/testcases/test_file.rsa2048_exp3_sha512.sig
new file mode 100644
index 0000000..155474a
--- /dev/null
+++ b/tests/testcases/test_file.rsa2048_exp3_sha512.sig
Binary files differ
diff --git a/tests/testkeys/key_rsa2048_exp3.crt b/tests/testkeys/key_rsa2048_exp3.crt
new file mode 100644
index 0000000..1c88aea
--- /dev/null
+++ b/tests/testkeys/key_rsa2048_exp3.crt
@@ -0,0 +1,20 @@
+-----BEGIN CERTIFICATE-----
+MIIDWzCCAkOgAwIBAgIJAO+pvxf/+8DVMA0GCSqGSIb3DQEBCwUAMEUxCzAJBgNV
+BAYTAkFVMRMwEQYDVQQIDApTb21lLVN0YXRlMSEwHwYDVQQKDBhJbnRlcm5ldCBX
+aWRnaXRzIFB0eSBMdGQwHhcNMTcwMjA3MDgzNTQ5WhcNMTcwMzA5MDgzNTQ5WjBF
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+OhQyX0YFNTXIXJkuFy2KEClSpQ0yglrFaPzBmpmJY4LMR2Dbxze/f+i94HaeQDFd
+Sze8VyJxnqagBNX6QgxWEhUvIs/OVwkkJ2ZoK7JkhX9gDzxUZ01EvFkoszQNxDgy
+ETFxBf/pbZspKiyOVoWCm4OzKXIAqRqWX1Gg2BFUdxLof6XbD/F96xcsUgZkTBuu
+thBMQrCxGwmbZhwnfoZ0PgcagCdqlLkUUsOJuj4AGDK+4X8Rdzlc5wbjPBAgt9U=
+-----END CERTIFICATE-----
diff --git a/tests/testkeys/key_rsa2048_exp3.keyb b/tests/testkeys/key_rsa2048_exp3.keyb
new file mode 100644
index 0000000..3f8c564
--- /dev/null
+++ b/tests/testkeys/key_rsa2048_exp3.keyb
Binary files differ
diff --git a/tests/testkeys/key_rsa2048_exp3.pem b/tests/testkeys/key_rsa2048_exp3.pem
new file mode 100644
index 0000000..ca3127c
--- /dev/null
+++ b/tests/testkeys/key_rsa2048_exp3.pem
@@ -0,0 +1,27 @@
+-----BEGIN RSA PRIVATE KEY-----
+MIIEpAIBAAKCAQEA3UvKSmYs87zzCjmpwlSJlOdsoz+7JFekYTbUizUwf+k20mz9
+d042zL3XPFenwKsNwrqS0+iJ+zwLMXmDG5+Jnh/4k1xCpjz9gAoIuTHYSR+nFfvJ
+BocdZhiXLAZW1RSbqYaZJn67JR4GgajrmhJkk1nOhY1y4kPqEwuVbWFX5V50ZiDt
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+iPsEh7j4oKlMys7Ty2NXxxo12f6orz0vJn3zcaj2XFgQZNZF56W5N5VjXIiDPNYo
+NArDICXmBhhtAYRh+tGGsUotNKiC4k4hufEvVQIBAwKCAQEAk4fcMZlzTSiiBtEb
+1uMGY0TzF3/SGDptliSNsiN1qpt54Z3+T4l53dPk0uUagHIJLHxh4psGp31cy6ZX
+Z7+xFBVQYj2BxCipAAawe3aQML/EuVKGBFoTmWW6HVmPOLhnxlm7bv8nbhQEVnCd
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+bOZwxFrFnLMJcmZZPmnfR1jvUCIbk1ytVwwRM9DdnCZmK907/VhUqZXj5zP7L8Ou
+uYL8uywEvwRbJV6LDRtEqcDpASrEfEE4fzyECP/KbIs/WUawSpnkBhCXX6MUDGaz
+tMqjXleLEQYLgjMwGRTgNwKBgQCUdYHr5tivt2JfKtJ+sj6zCBI6WMHd6NeYbgmP
+GK67Uy4efLlhZ4NJn08Wfv7Reme7KuekNz3p1ZHNLt1Cu5dEMCirEgQsBIEEg/8G
+T6Y+SFlLYbbNYG9Jo3qwe9TuEMTs3UTcaKLuNe+8Xqx9TnzVxAJGyWYhTnNXQ4Si
+C8kdzwKBgQCmfbKHyzXa0E1dFQKU59hXBhSKBp6ZvD/pF5Ed4tZW0ubdCVs7665p
+cdi5ljpJsjqHzWTn8TLdbXZ2jYPPNTC89wZ8F1lrPHCYz/Ifnoahlcbp7OIiIcWx
+S6YTzuFdpxAAdwstY91LMxzzMZm47hZUw/KzEVfzIpdyLbeCouohzg==
+-----END RSA PRIVATE KEY-----
diff --git a/tests/testkeys/key_rsa2048_exp3.sha1.vbprivk b/tests/testkeys/key_rsa2048_exp3.sha1.vbprivk
new file mode 100644
index 0000000..357a53a
--- /dev/null
+++ b/tests/testkeys/key_rsa2048_exp3.sha1.vbprivk
Binary files differ
diff --git a/tests/testkeys/key_rsa2048_exp3.sha1.vbpubk b/tests/testkeys/key_rsa2048_exp3.sha1.vbpubk
new file mode 100644
index 0000000..8f17ce9
--- /dev/null
+++ b/tests/testkeys/key_rsa2048_exp3.sha1.vbpubk
Binary files differ
diff --git a/tests/testkeys/key_rsa2048_exp3.sha256.vbprivk b/tests/testkeys/key_rsa2048_exp3.sha256.vbprivk
new file mode 100644
index 0000000..eb10c73
--- /dev/null
+++ b/tests/testkeys/key_rsa2048_exp3.sha256.vbprivk
Binary files differ
diff --git a/tests/testkeys/key_rsa2048_exp3.sha256.vbpubk b/tests/testkeys/key_rsa2048_exp3.sha256.vbpubk
new file mode 100644
index 0000000..70bfcf6
--- /dev/null
+++ b/tests/testkeys/key_rsa2048_exp3.sha256.vbpubk
Binary files differ
diff --git a/tests/testkeys/key_rsa2048_exp3.sha512.vbprivk b/tests/testkeys/key_rsa2048_exp3.sha512.vbprivk
new file mode 100644
index 0000000..0e1f862
--- /dev/null
+++ b/tests/testkeys/key_rsa2048_exp3.sha512.vbprivk
Binary files differ
diff --git a/tests/testkeys/key_rsa2048_exp3.sha512.vbpubk b/tests/testkeys/key_rsa2048_exp3.sha512.vbpubk
new file mode 100644
index 0000000..429d2c3
--- /dev/null
+++ b/tests/testkeys/key_rsa2048_exp3.sha512.vbpubk
Binary files differ
diff --git a/utility/dumpRSAPublicKey.c b/utility/dumpRSAPublicKey.c
index b3b7b96..fc238d7 100644
--- a/utility/dumpRSAPublicKey.c
+++ b/utility/dumpRSAPublicKey.c
@@ -23,8 +23,9 @@
   int public_exponent = BN_get_word(key->e);
   int modulus = BN_num_bits(key->n);
 
-  if (public_exponent != 65537) {
-    fprintf(stderr, "WARNING: Public exponent should be 65537 (but is %d).\n",
+  if (public_exponent != 3 && public_exponent != 65537) {
+    fprintf(stderr,
+            "WARNING: Public exponent should be 3 or 65537 (but is %d).\n",
             public_exponent);
   }