/* * Copyright (c) 2013, Google Inc. * * SPDX-License-Identifier: GPL-2.0+ */ #include #include #include #include #include #include #include /** * struct rsa_public_key - holder for a public key * * An RSA public key consists of a modulus (typically called N), the inverse * and R^2, where R is 2^(# key bits). */ struct rsa_public_key { uint len; /* Length of modulus[] in number of uint32_t */ uint32_t n0inv; /* -1 / modulus[0] mod 2^32 */ uint32_t *modulus; /* modulus as little endian array */ uint32_t *rr; /* R^2 as little endian array */ }; #define UINT64_MULT32(v, multby) (((uint64_t)(v)) * ((uint32_t)(multby))) #define RSA2048_BYTES (2048 / 8) /* This is the minimum/maximum key size we support, in bits */ #define RSA_MIN_KEY_BITS 2048 #define RSA_MAX_KEY_BITS 2048 /* This is the maximum signature length that we support, in bits */ #define RSA_MAX_SIG_BITS 2048 static const uint8_t padding_sha1_rsa2048[RSA2048_BYTES - SHA1_SUM_LEN] = { 0x00, 0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, 0x30, 0x21, 0x30, 0x09, 0x06, 0x05, 0x2b, 0x0e, 0x03, 0x02, 0x1a, 0x05, 0x00, 0x04, 0x14 }; /** * subtract_modulus() - subtract modulus from the given value * * @key: Key containing modulus to subtract * @num: Number to subtract modulus from, as little endian word array */ static void subtract_modulus(const struct rsa_public_key *key, uint32_t num[]) { int64_t acc = 0; uint i; for (i = 0; i < key->len; i++) { acc += (uint64_t)num[i] - key->modulus[i]; num[i] = (uint32_t)acc; acc >>= 32; } } /** * greater_equal_modulus() - check if a value is >= modulus * * @key: Key containing modulus to check * @num: Number to check against modulus, as little endian word array * @return 0 if num < modulus, 1 if num >= modulus */ static int greater_equal_modulus(const struct rsa_public_key *key, uint32_t num[]) { uint32_t i; for (i = key->len - 1; i >= 0; i--) { if (num[i] < key->modulus[i]) return 0; if (num[i] > key->modulus[i]) return 1; } return 1; /* equal */ } /** * montgomery_mul_add_step() - Perform montgomery multiply-add step * * Operation: montgomery result[] += a * b[] / n0inv % modulus * * @key: RSA key * @result: Place to put result, as little endian word array * @a: Multiplier * @b: Multiplicand, as little endian word array */ static void montgomery_mul_add_step(const struct rsa_public_key *key, uint32_t result[], const uint32_t a, const uint32_t b[]) { uint64_t acc_a, acc_b; uint32_t d0; uint i; acc_a = (uint64_t)a * b[0] + result[0]; d0 = (uint32_t)acc_a * key->n0inv; acc_b = (uint64_t)d0 * key->modulus[0] + (uint32_t)acc_a; for (i = 1; i < key->len; i++) { acc_a = (acc_a >> 32) + (uint64_t)a * b[i] + result[i]; acc_b = (acc_b >> 32) + (uint64_t)d0 * key->modulus[i] + (uint32_t)acc_a; result[i - 1] = (uint32_t)acc_b; } acc_a = (acc_a >> 32) + (acc_b >> 32); result[i - 1] = (uint32_t)acc_a; if (acc_a >> 32) subtract_modulus(key, result); } /** * montgomery_mul() - Perform montgomery mutitply * * Operation: montgomery result[] = a[] * b[] / n0inv % modulus * * @key: RSA key * @result: Place to put result, as little endian word array * @a: Multiplier, as little endian word array * @b: Multiplicand, as little endian word array */ static void montgomery_mul(const struct rsa_public_key *key, uint32_t result[], uint32_t a[], const uint32_t b[]) { uint i; for (i = 0; i < key->len; ++i) result[i] = 0; for (i = 0; i < key->len; ++i) montgomery_mul_add_step(key, result, a[i], b); } /** * pow_mod() - in-place public exponentiation * * @key: RSA key * @inout: Big-endian word array containing value and result */ static int pow_mod(const struct rsa_public_key *key, uint32_t *inout) { uint32_t *result, *ptr; uint i; /* Sanity check for stack size - key->len is in 32-bit words */ if (key->len > RSA_MAX_KEY_BITS / 32) { debug("RSA key words %u exceeds maximum %d\n", key->len, RSA_MAX_KEY_BITS / 32); return -EINVAL; } uint32_t val[key->len], acc[key->len], tmp[key->len]; result = tmp; /* Re-use location. */ /* Convert from big endian byte array to little endian word array. */ for (i = 0, ptr = inout + key->len - 1; i < key->len; i++, ptr--) val[i] = get_unaligned_be32(ptr); montgomery_mul(key, acc, val, key->rr); /* axx = a * RR / R mod M */ for (i = 0; i < 16; i += 2) { montgomery_mul(key, tmp, acc, acc); /* tmp = acc^2 / R mod M */ montgomery_mul(key, acc, tmp, tmp); /* acc = tmp^2 / R mod M */ } montgomery_mul(key, result, acc, val); /* result = XX * a / R mod M */ /* Make sure result < mod; result is at most 1x mod too large. */ if (greater_equal_modulus(key, result)) subtract_modulus(key, result); /* Convert to bigendian byte array */ for (i = key->len - 1, ptr = inout; (int)i >= 0; i--, ptr++) put_unaligned_be32(result[i], ptr); return 0; } static int rsa_verify_key(const struct rsa_public_key *key, const uint8_t *sig, const uint32_t sig_len, const uint8_t *hash) { const uint8_t *padding; int pad_len; int ret; if (!key || !sig || !hash) return -EIO; if (sig_len != (key->len * sizeof(uint32_t))) { debug("Signature is of incorrect length %d\n", sig_len); return -EINVAL; } /* Sanity check for stack size */ if (sig_len > RSA_MAX_SIG_BITS / 8) { debug("Signature length %u exceeds maximum %d\n", sig_len, RSA_MAX_SIG_BITS / 8); return -EINVAL; } uint32_t buf[sig_len / sizeof(uint32_t)]; memcpy(buf, sig, sig_len); ret = pow_mod(key, buf); if (ret) return ret; /* Determine padding to use depending on the signature type. */ padding = padding_sha1_rsa2048; pad_len = RSA2048_BYTES - SHA1_SUM_LEN; /* Check pkcs1.5 padding bytes. */ if (memcmp(buf, padding, pad_len)) { debug("In RSAVerify(): Padding check failed!\n"); return -EINVAL; } /* Check hash. */ if (memcmp((uint8_t *)buf + pad_len, hash, sig_len - pad_len)) { debug("In RSAVerify(): Hash check failed!\n"); return -EACCES; } return 0; } static void rsa_convert_big_endian(uint32_t *dst, const uint32_t *src, int len) { int i; for (i = 0; i < len; i++) dst[i] = fdt32_to_cpu(src[len - 1 - i]); } static int rsa_verify_with_keynode(struct image_sign_info *info, const void *hash, uint8_t *sig, uint sig_len, int node) { const void *blob = info->fdt_blob; struct rsa_public_key key; const void *modulus, *rr; int ret; if (node < 0) { debug("%s: Skipping invalid node", __func__); return -EBADF; } if (!fdt_getprop(blob, node, "rsa,n0-inverse", NULL)) { debug("%s: Missing rsa,n0-inverse", __func__); return -EFAULT; } key.len = fdtdec_get_int(blob, node, "rsa,num-bits", 0); key.n0inv = fdtdec_get_int(blob, node, "rsa,n0-inverse", 0); modulus = fdt_getprop(blob, node, "rsa,modulus", NULL); rr = fdt_getprop(blob, node, "rsa,r-squared", NULL); if (!key.len || !modulus || !rr) { debug("%s: Missing RSA key info", __func__); return -EFAULT; } /* Sanity check for stack size */ if (key.len > RSA_MAX_KEY_BITS || key.len < RSA_MIN_KEY_BITS) { debug("RSA key bits %u outside allowed range %d..%d\n", key.len, RSA_MIN_KEY_BITS, RSA_MAX_KEY_BITS); return -EFAULT; } key.len /= sizeof(uint32_t) * 8; uint32_t key1[key.len], key2[key.len]; key.modulus = key1; key.rr = key2; rsa_convert_big_endian(key.modulus, modulus, key.len); rsa_convert_big_endian(key.rr, rr, key.len); if (!key.modulus || !key.rr) { debug("%s: Out of memory", __func__); return -ENOMEM; } debug("key length %d\n", key.len); ret = rsa_verify_key(&key, sig, sig_len, hash); if (ret) { printf("%s: RSA failed to verify: %d\n", __func__, ret); return ret; } return 0; } int rsa_verify(struct image_sign_info *info, const struct image_region region[], int region_count, uint8_t *sig, uint sig_len) { const void *blob = info->fdt_blob; uint8_t hash[SHA1_SUM_LEN]; int ndepth, noffset; int sig_node, node; char name[100]; sha1_context ctx; int ret, i; sig_node = fdt_subnode_offset(blob, 0, FIT_SIG_NODENAME); if (sig_node < 0) { debug("%s: No signature node found\n", __func__); return -ENOENT; } sha1_starts(&ctx); for (i = 0; i < region_count; i++) sha1_update(&ctx, region[i].data, region[i].size); sha1_finish(&ctx, hash); /* See if we must use a particular key */ if (info->required_keynode != -1) { ret = rsa_verify_with_keynode(info, hash, sig, sig_len, info->required_keynode); if (!ret) return ret; } /* Look for a key that matches our hint */ snprintf(name, sizeof(name), "key-%s", info->keyname); node = fdt_subnode_offset(blob, sig_node, name); ret = rsa_verify_with_keynode(info, hash, sig, sig_len, node); if (!ret) return ret; /* No luck, so try each of the keys in turn */ for (ndepth = 0, noffset = fdt_next_node(info->fit, sig_node, &ndepth); (noffset >= 0) && (ndepth > 0); noffset = fdt_next_node(info->fit, noffset, &ndepth)) { if (ndepth == 1 && noffset != node) { ret = rsa_verify_with_keynode(info, hash, sig, sig_len, noffset); if (!ret) break; } } return ret; }