Boot: Add RSA-3072 support to MCUBoot
PSA TBSA-M recommends to use RSA signature for firmware
authentication with at least 3072 bits length key size.
This patch introduces:
- add an example RSA-3072 key
- add configurable RSA-3072 support (RSA-2048 still available)
- set RSA-3072 to default
This change is based on:
https://github.com/JuulLabs-OSS/mcuboot/pull/476
authored by Fabio Utzig <utzig@apache.org>
Change-Id: Ic8d188f64d0dbe54aebf28c2778fb932e1afeeb9
Signed-off-by: Tamas Ban <tamas.ban@arm.com>
diff --git a/CommonConfig.cmake b/CommonConfig.cmake
index c75cc79..668906b 100644
--- a/CommonConfig.cmake
+++ b/CommonConfig.cmake
@@ -230,7 +230,7 @@
message(FATAL_ERROR "MCUBoot only supports RSA-2048 and RSA-3072 signature")
endif()
if (NOT DEFINED MCUBOOT_SIGNATURE_TYPE)
- set(MCUBOOT_SIGNATURE_TYPE "RSA-2048")
+ set(MCUBOOT_SIGNATURE_TYPE "RSA-3072")
endif()
if (NOT ${MCUBOOT_UPGRADE_STRATEGY} STREQUAL "OVERWRITE_ONLY" AND
NOT ${MCUBOOT_UPGRADE_STRATEGY} STREQUAL "SWAP" AND
diff --git a/bl2/ext/mcuboot/bootutil/include/bootutil/image.h b/bl2/ext/mcuboot/bootutil/include/bootutil/image.h
index 643997a..b9954f0 100644
--- a/bl2/ext/mcuboot/bootutil/include/bootutil/image.h
+++ b/bl2/ext/mcuboot/bootutil/include/bootutil/image.h
@@ -67,6 +67,7 @@
#define IMAGE_TLV_KEYHASH 0x01 /* hash of the public key */
#define IMAGE_TLV_SHA256 0x10 /* SHA256 of image hdr and body */
#define IMAGE_TLV_RSA2048_PSS 0x20 /* RSA2048 of hash output */
+#define IMAGE_TLV_RSA3072_PSS 0x23 /* RSA3072 of hash output */
#define IMAGE_TLV_SEC_CNT 0x50 /* security counter */
#define IMAGE_VER_MAJOR_LENGTH 8
diff --git a/bl2/ext/mcuboot/bootutil/src/image_rsa.c b/bl2/ext/mcuboot/bootutil/src/image_rsa.c
index 3ab03ce..a9f2393 100644
--- a/bl2/ext/mcuboot/bootutil/src/image_rsa.c
+++ b/bl2/ext/mcuboot/bootutil/src/image_rsa.c
@@ -38,13 +38,13 @@
/*
* Constants for this particular constrained implementation of
- * RSA-PSS. In particular, we support RSA 2048, with a SHA256 hash,
- * and a 32-byte salt. A signature with different parameters will be
+ * RSA-PSS. In particular, we support RSA 2048 and RSA 3072, with a SHA256
+ * hash, and a 32-byte salt. A signature with different parameters will be
* rejected as invalid.
*/
/* The size, in octets, of the message. */
-#define PSS_EMLEN 256
+#define PSS_EMLEN (MCUBOOT_SIGN_RSA_LEN / 8)
/* The size of the hash function. For SHA256, this is 32 bytes. */
#define PSS_HLEN 32
@@ -53,7 +53,7 @@
#define PSS_SLEN 32
/* The length of the mask: emLen - hLen - 1. */
-#define PSS_MASK_LEN (256 - PSS_HLEN - 1)
+#define PSS_MASK_LEN (PSS_EMLEN - PSS_HLEN - 1)
#define PSS_HASH_OFFSET PSS_MASK_LEN
diff --git a/bl2/ext/mcuboot/bootutil/src/image_validate.c b/bl2/ext/mcuboot/bootutil/src/image_validate.c
index b9db6de..036d242 100644
--- a/bl2/ext/mcuboot/bootutil/src/image_validate.c
+++ b/bl2/ext/mcuboot/bootutil/src/image_validate.c
@@ -106,9 +106,19 @@
* call. List the type of TLV we are expecting. If we aren't
* configured for any signature, don't define this macro.
*/
+
#if defined(MCUBOOT_SIGN_RSA)
-# define EXPECTED_SIG_TLV IMAGE_TLV_RSA2048_PSS
-# define EXPECTED_SIG_LEN(x) ((x) == 256) /* 2048 bits */
+# if MCUBOOT_SIGN_RSA_LEN == 2048
+# define EXPECTED_SIG_TLV IMAGE_TLV_RSA2048_PSS
+# elif MCUBOOT_SIGN_RSA_LEN == 3072
+# define EXPECTED_SIG_TLV IMAGE_TLV_RSA3072_PSS
+# else
+# error "Unsupported RSA signature length"
+# endif
+# define SIG_BUF_SIZE (MCUBOOT_SIGN_RSA_LEN / 8)
+# define EXPECTED_SIG_LEN(x) ((x) == SIG_BUF_SIZE)
+#else
+# define SIG_BUF_SIZE 32 /* no signing, sha256 digest only */
#endif
#ifdef EXPECTED_SIG_TLV
@@ -320,7 +330,7 @@
int key_id = -1;
#endif
struct image_tlv tlv;
- uint8_t buf[256];
+ uint8_t buf[SIG_BUF_SIZE];
uint8_t hash[32] = {0};
uint32_t security_cnt;
uint32_t img_security_cnt;
diff --git a/bl2/ext/mcuboot/include/config-boot.h b/bl2/ext/mcuboot/include/config-boot.h
index b8cb25a..3fd8cc0 100644
--- a/bl2/ext/mcuboot/include/config-boot.h
+++ b/bl2/ext/mcuboot/include/config-boot.h
@@ -3,6 +3,8 @@
*
* Copyright (C) 2006-2015, ARM Limited, All Rights Reserved
* Copyright (C) 2016, Linaro Ltd
+ * Copyright (c) 2019, Arm Limited.
+ *
* SPDX-License-Identifier: Apache-2.0
*
* Licensed under the Apache License, Version 2.0 (the "License"); you may
@@ -29,31 +31,18 @@
#ifndef MBEDTLS_CONFIG_BOOT_H
#define MBEDTLS_CONFIG_BOOT_H
-/* TODO: Configure this between app and target. Really, we want the
- * config to come from the app. */
-#define CONFIG_BOOT_VERIFY_RSA_SIGNATURE
-
/* System support */
#define MBEDTLS_PLATFORM_C
#define MBEDTLS_PLATFORM_MEMORY
#define MBEDTLS_MEMORY_BUFFER_ALLOC_C
-#define MBEDTLS_PLATFORM_EXIT_ALT
#define MBEDTLS_NO_PLATFORM_ENTROPY
#define MBEDTLS_NO_DEFAULT_ENTROPY_SOURCES
+
+#define MBEDTLS_PLATFORM_EXIT_ALT
#define MBEDTLS_PLATFORM_PRINTF_ALT
-#if defined(CONFIG_MBEDTLS_TEST)
-#define MBEDTLS_SELF_TEST
-#define MBEDTLS_DEBUG_C
-#else
-#define MBEDTLS_ENTROPY_C
-#define MBEDTLS_TEST_NULL_ENTROPY
-#endif
-
-#ifdef CONFIG_BOOT_VERIFY_RSA_SIGNATURE
#define MBEDTLS_RSA_C
#define MBEDTLS_PKCS1_V15
-#endif
/* mbed TLS modules */
#define MBEDTLS_ASN1_PARSE_C
@@ -64,12 +53,10 @@
#define MBEDTLS_SHA256_C
/* Save RAM by adjusting to our exact needs */
-#ifdef CONFIG_BOOT_VERIFY_RSA_SIGNATURE
-#define MBEDTLS_ECP_MAX_BITS 2048
+#if MCUBOOT_SIGN_RSA_LEN == 3072
+#define MBEDTLS_MPI_MAX_SIZE 384
+#else /* RSA2048 */
#define MBEDTLS_MPI_MAX_SIZE 256
-#else
-#define MBEDTLS_ECP_MAX_BITS 256
-#define MBEDTLS_MPI_MAX_SIZE 32 // 256 bits is 32 bytes
#endif
#define MBEDTLS_SSL_MAX_CONTENT_LEN 1024
diff --git a/bl2/ext/mcuboot/keys.c b/bl2/ext/mcuboot/keys.c
index 7bad135..f051f81 100644
--- a/bl2/ext/mcuboot/keys.c
+++ b/bl2/ext/mcuboot/keys.c
@@ -17,44 +17,120 @@
* under the License.
*/
+/*
+ * Original code taken from mcuboot project at:
+ * https://github.com/JuulLabs-OSS/mcuboot
+ * Git SHA of the original version: 178be54bd6e5f035cc60e98205535682acd26e64
+ * Modifications are Copyright (c) 2019 Arm Limited.
+ */
+
#include <bootutil/sign_key.h>
#if defined(MCUBOOT_SIGN_RSA)
-const unsigned char root_pub_der[] = {
- 0x30, 0x82, 0x01, 0x0a, 0x02, 0x82, 0x01, 0x01, 0x00, 0xd1, 0x06, 0x08,
- 0x1a, 0x18, 0x44, 0x2c, 0x18, 0xe8, 0xfb, 0xfd, 0xf7, 0x0d, 0xa3, 0x4f,
- 0x1f, 0xbb, 0xee, 0x5e, 0xf9, 0xaa, 0xd2, 0x4b, 0x18, 0xd3, 0x5a, 0xe9,
- 0x6d, 0x18, 0x80, 0x19, 0xf9, 0xf0, 0x9c, 0x34, 0x1b, 0xcb, 0xf3, 0xbc,
- 0x74, 0xdb, 0x42, 0xe7, 0x8c, 0x7f, 0x10, 0x53, 0x7e, 0x43, 0x5e, 0x0d,
- 0x57, 0x2c, 0x44, 0xd1, 0x67, 0x08, 0x0f, 0x0d, 0xbb, 0x5c, 0xee, 0xec,
- 0xb3, 0x99, 0xdf, 0xe0, 0x4d, 0x84, 0x0b, 0xaa, 0x77, 0x41, 0x60, 0xed,
- 0x15, 0x28, 0x49, 0xa7, 0x01, 0xb4, 0x3c, 0x10, 0xe6, 0x69, 0x8c, 0x2f,
- 0x5f, 0xac, 0x41, 0x4d, 0x9e, 0x5c, 0x14, 0xdf, 0xf2, 0xf8, 0xcf, 0x3d,
- 0x1e, 0x6f, 0xe7, 0x5b, 0xba, 0xb4, 0xa9, 0xc8, 0x88, 0x7e, 0x47, 0x3c,
- 0x94, 0xc3, 0x77, 0x67, 0x54, 0x4b, 0xaa, 0x8d, 0x38, 0x35, 0xca, 0x62,
- 0x61, 0x7e, 0xb7, 0xe1, 0x15, 0xdb, 0x77, 0x73, 0xd4, 0xbe, 0x7b, 0x72,
- 0x21, 0x89, 0x69, 0x24, 0xfb, 0xf8, 0x65, 0x6e, 0x64, 0x3e, 0xc8, 0x0e,
- 0xd7, 0x85, 0xd5, 0x5c, 0x4a, 0xe4, 0x53, 0x0d, 0x2f, 0xff, 0xb7, 0xfd,
- 0xf3, 0x13, 0x39, 0x83, 0x3f, 0xa3, 0xae, 0xd2, 0x0f, 0xa7, 0x6a, 0x9d,
- 0xf9, 0xfe, 0xb8, 0xce, 0xfa, 0x2a, 0xbe, 0xaf, 0xb8, 0xe0, 0xfa, 0x82,
- 0x37, 0x54, 0xf4, 0x3e, 0xe1, 0x2b, 0xd0, 0xd3, 0x08, 0x58, 0x18, 0xf6,
- 0x5e, 0x4c, 0xc8, 0x88, 0x81, 0x31, 0xad, 0x5f, 0xb0, 0x82, 0x17, 0xf2,
- 0x8a, 0x69, 0x27, 0x23, 0xf3, 0xab, 0x87, 0x3e, 0x93, 0x1a, 0x1d, 0xfe,
- 0xe8, 0xf8, 0x1a, 0x24, 0x66, 0x59, 0xf8, 0x1c, 0xab, 0xdc, 0xce, 0x68,
- 0x1b, 0x66, 0x64, 0x35, 0xec, 0xfa, 0x0d, 0x11, 0x9d, 0xaf, 0x5c, 0x3a,
- 0xa7, 0xd1, 0x67, 0xc6, 0x47, 0xef, 0xb1, 0x4b, 0x2c, 0x62, 0xe1, 0xd1,
- 0xc9, 0x02, 0x03, 0x01, 0x00, 0x01
+#if MCUBOOT_SIGN_RSA_LEN == 2048
+#define HAVE_KEYS
+const unsigned char rsa_pub_key[] = {
+ 0x30, 0x82, 0x01, 0x0a, 0x02, 0x82, 0x01, 0x01,
+ 0x00, 0xd1, 0x06, 0x08, 0x1a, 0x18, 0x44, 0x2c,
+ 0x18, 0xe8, 0xfb, 0xfd, 0xf7, 0x0d, 0xa3, 0x4f,
+ 0x1f, 0xbb, 0xee, 0x5e, 0xf9, 0xaa, 0xd2, 0x4b,
+ 0x18, 0xd3, 0x5a, 0xe9, 0x6d, 0x18, 0x80, 0x19,
+ 0xf9, 0xf0, 0x9c, 0x34, 0x1b, 0xcb, 0xf3, 0xbc,
+ 0x74, 0xdb, 0x42, 0xe7, 0x8c, 0x7f, 0x10, 0x53,
+ 0x7e, 0x43, 0x5e, 0x0d, 0x57, 0x2c, 0x44, 0xd1,
+ 0x67, 0x08, 0x0f, 0x0d, 0xbb, 0x5c, 0xee, 0xec,
+ 0xb3, 0x99, 0xdf, 0xe0, 0x4d, 0x84, 0x0b, 0xaa,
+ 0x77, 0x41, 0x60, 0xed, 0x15, 0x28, 0x49, 0xa7,
+ 0x01, 0xb4, 0x3c, 0x10, 0xe6, 0x69, 0x8c, 0x2f,
+ 0x5f, 0xac, 0x41, 0x4d, 0x9e, 0x5c, 0x14, 0xdf,
+ 0xf2, 0xf8, 0xcf, 0x3d, 0x1e, 0x6f, 0xe7, 0x5b,
+ 0xba, 0xb4, 0xa9, 0xc8, 0x88, 0x7e, 0x47, 0x3c,
+ 0x94, 0xc3, 0x77, 0x67, 0x54, 0x4b, 0xaa, 0x8d,
+ 0x38, 0x35, 0xca, 0x62, 0x61, 0x7e, 0xb7, 0xe1,
+ 0x15, 0xdb, 0x77, 0x73, 0xd4, 0xbe, 0x7b, 0x72,
+ 0x21, 0x89, 0x69, 0x24, 0xfb, 0xf8, 0x65, 0x6e,
+ 0x64, 0x3e, 0xc8, 0x0e, 0xd7, 0x85, 0xd5, 0x5c,
+ 0x4a, 0xe4, 0x53, 0x0d, 0x2f, 0xff, 0xb7, 0xfd,
+ 0xf3, 0x13, 0x39, 0x83, 0x3f, 0xa3, 0xae, 0xd2,
+ 0x0f, 0xa7, 0x6a, 0x9d, 0xf9, 0xfe, 0xb8, 0xce,
+ 0xfa, 0x2a, 0xbe, 0xaf, 0xb8, 0xe0, 0xfa, 0x82,
+ 0x37, 0x54, 0xf4, 0x3e, 0xe1, 0x2b, 0xd0, 0xd3,
+ 0x08, 0x58, 0x18, 0xf6, 0x5e, 0x4c, 0xc8, 0x88,
+ 0x81, 0x31, 0xad, 0x5f, 0xb0, 0x82, 0x17, 0xf2,
+ 0x8a, 0x69, 0x27, 0x23, 0xf3, 0xab, 0x87, 0x3e,
+ 0x93, 0x1a, 0x1d, 0xfe, 0xe8, 0xf8, 0x1a, 0x24,
+ 0x66, 0x59, 0xf8, 0x1c, 0xab, 0xdc, 0xce, 0x68,
+ 0x1b, 0x66, 0x64, 0x35, 0xec, 0xfa, 0x0d, 0x11,
+ 0x9d, 0xaf, 0x5c, 0x3a, 0xa7, 0xd1, 0x67, 0xc6,
+ 0x47, 0xef, 0xb1, 0x4b, 0x2c, 0x62, 0xe1, 0xd1,
+ 0xc9, 0x02, 0x03, 0x01, 0x00, 0x01,
};
-const unsigned int root_pub_der_len = 270;
+const unsigned int rsa_pub_key_len = 270;
+#elif MCUBOOT_SIGN_RSA_LEN == 3072
+#define HAVE_KEYS
+const unsigned char rsa_pub_key[] = {
+ 0x30, 0x82, 0x01, 0x8a, 0x02, 0x82, 0x01, 0x81,
+ 0x00, 0x9c, 0xba, 0xc2, 0x5a, 0xbf, 0xcc, 0xc5,
+ 0x4f, 0x20, 0x0c, 0x4f, 0x6f, 0x6c, 0x51, 0x4f,
+ 0x5c, 0x0a, 0xab, 0x80, 0xb8, 0x6b, 0x10, 0xc4,
+ 0x9b, 0x2b, 0xc4, 0x52, 0x32, 0x09, 0x4b, 0x3b,
+ 0x27, 0x94, 0x6a, 0x1d, 0xd5, 0x4c, 0xa8, 0x5c,
+ 0xa0, 0xc0, 0x76, 0x95, 0x7b, 0x26, 0x04, 0xb1,
+ 0x13, 0x7e, 0x78, 0x27, 0xd6, 0x0c, 0xb4, 0xe8,
+ 0xb0, 0x2d, 0x92, 0x52, 0x8a, 0xfb, 0x69, 0xff,
+ 0x42, 0x10, 0xaa, 0x56, 0x0c, 0x83, 0xc8, 0x65,
+ 0x6e, 0xba, 0x0d, 0x5f, 0x8e, 0xf7, 0x2b, 0x29,
+ 0x92, 0xfc, 0x42, 0x2d, 0x2d, 0xf9, 0x80, 0xf5,
+ 0x85, 0x21, 0x87, 0xea, 0xac, 0x40, 0xa8, 0xcb,
+ 0xd0, 0xa8, 0x3b, 0xe2, 0xd2, 0xec, 0xf0, 0x14,
+ 0x48, 0x0e, 0xcf, 0x2b, 0x8a, 0x4b, 0xa4, 0xcd,
+ 0xa1, 0x05, 0x5b, 0x17, 0x66, 0x1d, 0xde, 0x6e,
+ 0x44, 0xfe, 0x46, 0xa3, 0x0d, 0xd0, 0x69, 0xbf,
+ 0x8c, 0xad, 0xa9, 0x16, 0x68, 0x51, 0xeb, 0x79,
+ 0x91, 0x20, 0xe6, 0x81, 0x03, 0x07, 0x89, 0x40,
+ 0x55, 0x4b, 0xeb, 0xcf, 0x67, 0xf8, 0x31, 0xc7,
+ 0x1c, 0x54, 0x4e, 0x52, 0x0b, 0x60, 0xe8, 0xa2,
+ 0x50, 0x07, 0xd1, 0xcf, 0xce, 0x12, 0x26, 0xcd,
+ 0x8e, 0x82, 0x8d, 0x4e, 0x64, 0xa9, 0xf7, 0xc7,
+ 0x21, 0x99, 0x25, 0x07, 0xdd, 0xc5, 0xd5, 0x5f,
+ 0xf4, 0x63, 0xfa, 0xcc, 0x2b, 0xda, 0x06, 0x5c,
+ 0x59, 0x67, 0xb0, 0x06, 0x35, 0xe9, 0xaa, 0x92,
+ 0x45, 0x35, 0xe5, 0xa0, 0x03, 0xff, 0x1c, 0x02,
+ 0xb5, 0xc7, 0x4e, 0x94, 0x4b, 0x6e, 0xad, 0x73,
+ 0x9d, 0xce, 0x6f, 0x09, 0xb3, 0xb1, 0x8f, 0x60,
+ 0x6c, 0xa2, 0xfa, 0xcd, 0x77, 0x0f, 0xcc, 0x27,
+ 0xe6, 0x36, 0x58, 0xb3, 0x52, 0xf7, 0x8f, 0xbe,
+ 0x49, 0x98, 0xb7, 0xe9, 0x60, 0xfd, 0x97, 0x57,
+ 0xcd, 0xea, 0xd3, 0x0b, 0xdf, 0xa2, 0x42, 0xf7,
+ 0x44, 0xd3, 0x87, 0xde, 0xe0, 0x10, 0x03, 0x94,
+ 0xda, 0xfc, 0xbc, 0xdd, 0xbe, 0x93, 0xb3, 0x4a,
+ 0x2b, 0x58, 0xdc, 0x96, 0x12, 0xf2, 0x6f, 0x23,
+ 0xba, 0x3b, 0x37, 0xfe, 0xfc, 0x18, 0x1f, 0x75,
+ 0x7d, 0x54, 0x01, 0x0e, 0xbe, 0x3d, 0x18, 0x13,
+ 0xb3, 0x28, 0xb9, 0x34, 0x2c, 0xd5, 0xfb, 0xc5,
+ 0x33, 0xbd, 0x87, 0xbd, 0x3b, 0xe4, 0x1d, 0xd7,
+ 0x02, 0x3d, 0x1c, 0x72, 0x65, 0x72, 0x43, 0x43,
+ 0x36, 0xa8, 0xfa, 0xe6, 0x73, 0x2d, 0xa4, 0x61,
+ 0xe8, 0x02, 0x9c, 0x3a, 0x56, 0x4d, 0x1c, 0xd1,
+ 0x76, 0x9c, 0x8c, 0xaa, 0x5f, 0x1b, 0xeb, 0x1c,
+ 0x4a, 0xf5, 0xb9, 0xb8, 0x6f, 0x41, 0x4b, 0x27,
+ 0x87, 0xde, 0xf6, 0x94, 0x1f, 0xdd, 0xe6, 0xf1,
+ 0xa9, 0xc2, 0x02, 0xc2, 0x4f, 0xa3, 0xfc, 0xa4,
+ 0x03, 0x5a, 0xd9, 0x6f, 0x78, 0xfd, 0x84, 0xf0,
+ 0xe5, 0xfd, 0x3d, 0xa5, 0x4d, 0x1b, 0xad, 0x5b,
+ 0x4b, 0x02, 0x03, 0x01, 0x00, 0x01,
+};
+const unsigned int rsa_pub_key_len = 398;
+#endif
#else
#error "No public key available for given signing algorithm."
#endif
-#if defined(MCUBOOT_SIGN_RSA)
+#if defined(HAVE_KEYS)
const struct bootutil_key bootutil_keys[] = {
{
- .key = root_pub_der,
- .len = &root_pub_der_len,
+ .key = rsa_pub_key,
+ .len = &rsa_pub_key_len,
},
};
const int bootutil_key_cnt = 1;
diff --git a/bl2/ext/mcuboot/root-rsa-3072.pem b/bl2/ext/mcuboot/root-rsa-3072.pem
new file mode 100644
index 0000000..8f58c69
--- /dev/null
+++ b/bl2/ext/mcuboot/root-rsa-3072.pem
@@ -0,0 +1,39 @@
+-----BEGIN RSA PRIVATE KEY-----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+-----END RSA PRIVATE KEY-----
\ No newline at end of file