1 /*
2  * Copyright (C) 2016 The Android Open Source Project
3  *
4  * Licensed under the Apache License, Version 2.0 (the "License");
5  * you may not use this file except in compliance with the License.
6  * You may obtain a copy of the License at
7  *
8  *      http://www.apache.org/licenses/LICENSE-2.0
9  *
10  * Unless required by applicable law or agreed to in writing, software
11  * distributed under the License is distributed on an "AS IS" BASIS,
12  * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
13  * See the License for the specific language governing permissions and
14  * limitations under the License.
15  */
16 
17 #include <crypto_utils/android_pubkey.h>
18 
19 #include <assert.h>
20 #include <stdlib.h>
21 #include <string.h>
22 
23 #include <openssl/bn.h>
24 
25 // Better safe than sorry.
26 #if (ANDROID_PUBKEY_MODULUS_SIZE % 4) != 0
27 #error RSA modulus size must be multiple of the word size!
28 #endif
29 
30 // Size of the RSA modulus in words.
31 #define ANDROID_PUBKEY_MODULUS_SIZE_WORDS (ANDROID_PUBKEY_MODULUS_SIZE / 4)
32 
33 // This file implements encoding and decoding logic for Android's custom RSA
34 // public key binary format. Public keys are stored as a sequence of
35 // little-endian 32 bit words. Note that Android only supports little-endian
36 // processors, so we don't do any byte order conversions when parsing the binary
37 // struct.
38 typedef struct RSAPublicKey {
39     // Modulus length. This must be ANDROID_PUBKEY_MODULUS_SIZE.
40     uint32_t modulus_size_words;
41 
42     // Precomputed montgomery parameter: -1 / n[0] mod 2^32
43     uint32_t n0inv;
44 
45     // RSA modulus as a little-endian array.
46     uint8_t modulus[ANDROID_PUBKEY_MODULUS_SIZE];
47 
48     // Montgomery parameter R^2 as a little-endian array of little-endian words.
49     uint8_t rr[ANDROID_PUBKEY_MODULUS_SIZE];
50 
51     // RSA modulus: 3 or 65537
52     uint32_t exponent;
53 } RSAPublicKey;
54 
55 // Reverses byte order in |buffer|.
reverse_bytes(uint8_t * buffer,size_t size)56 static void reverse_bytes(uint8_t* buffer, size_t size) {
57   for (size_t i = 0; i < (size + 1) / 2; ++i) {
58     uint8_t tmp = buffer[i];
59     buffer[i] = buffer[size - i - 1];
60     buffer[size - i - 1] = tmp;
61   }
62 }
63 
android_pubkey_decode(const uint8_t * key_buffer,size_t size,RSA ** key)64 bool android_pubkey_decode(const uint8_t* key_buffer, size_t size, RSA** key) {
65   const RSAPublicKey* key_struct = (RSAPublicKey*)key_buffer;
66   bool ret = false;
67   uint8_t modulus_buffer[ANDROID_PUBKEY_MODULUS_SIZE];
68   RSA* new_key = RSA_new();
69   if (!new_key) {
70     goto cleanup;
71   }
72 
73   // Check |size| is large enough and the modulus size is correct.
74   if (size < sizeof(RSAPublicKey)) {
75     goto cleanup;
76   }
77   if (key_struct->modulus_size_words != ANDROID_PUBKEY_MODULUS_SIZE_WORDS) {
78     goto cleanup;
79   }
80 
81   // Convert the modulus to big-endian byte order as expected by BN_bin2bn.
82   memcpy(modulus_buffer, key_struct->modulus, sizeof(modulus_buffer));
83   reverse_bytes(modulus_buffer, sizeof(modulus_buffer));
84   new_key->n = BN_bin2bn(modulus_buffer, sizeof(modulus_buffer), NULL);
85   if (!new_key->n) {
86     goto cleanup;
87   }
88 
89   // Read the exponent.
90   new_key->e = BN_new();
91   if (!new_key->e || !BN_set_word(new_key->e, key_struct->exponent)) {
92     goto cleanup;
93   }
94 
95   // Note that we don't extract the montgomery parameters n0inv and rr from
96   // the RSAPublicKey structure. They assume a word size of 32 bits, but
97   // BoringSSL may use a word size of 64 bits internally, so we're lacking the
98   // top 32 bits of n0inv in general. For now, we just ignore the parameters
99   // and have BoringSSL recompute them internally. More sophisticated logic can
100   // be added here if/when we want the additional speedup from using the
101   // pre-computed montgomery parameters.
102 
103   *key = new_key;
104   ret = true;
105 
106 cleanup:
107   if (!ret && new_key) {
108     RSA_free(new_key);
109   }
110   return ret;
111 }
112 
android_pubkey_encode_bignum(const BIGNUM * num,uint8_t * buffer)113 static bool android_pubkey_encode_bignum(const BIGNUM* num, uint8_t* buffer) {
114   if (!BN_bn2bin_padded(buffer, ANDROID_PUBKEY_MODULUS_SIZE, num)) {
115     return false;
116   }
117 
118   reverse_bytes(buffer, ANDROID_PUBKEY_MODULUS_SIZE);
119   return true;
120 }
121 
android_pubkey_encode(const RSA * key,uint8_t * key_buffer,size_t size)122 bool android_pubkey_encode(const RSA* key, uint8_t* key_buffer, size_t size) {
123   RSAPublicKey* key_struct = (RSAPublicKey*)key_buffer;
124   bool ret = false;
125   BN_CTX* ctx = BN_CTX_new();
126   BIGNUM* r32 = BN_new();
127   BIGNUM* n0inv = BN_new();
128   BIGNUM* rr = BN_new();
129 
130   if (sizeof(RSAPublicKey) > size ||
131       RSA_size(key) != ANDROID_PUBKEY_MODULUS_SIZE) {
132     goto cleanup;
133   }
134 
135   // Store the modulus size.
136   key_struct->modulus_size_words = ANDROID_PUBKEY_MODULUS_SIZE_WORDS;
137 
138   // Compute and store n0inv = -1 / N[0] mod 2^32.
139   if (!ctx || !r32 || !n0inv || !BN_set_bit(r32, 32) ||
140       !BN_mod(n0inv, key->n, r32, ctx) ||
141       !BN_mod_inverse(n0inv, n0inv, r32, ctx) || !BN_sub(n0inv, r32, n0inv)) {
142     goto cleanup;
143   }
144   key_struct->n0inv = (uint32_t)BN_get_word(n0inv);
145 
146   // Store the modulus.
147   if (!android_pubkey_encode_bignum(key->n, key_struct->modulus)) {
148     goto cleanup;
149   }
150 
151   // Compute and store rr = (2^(rsa_size)) ^ 2 mod N.
152   if (!ctx || !rr || !BN_set_bit(rr, ANDROID_PUBKEY_MODULUS_SIZE * 8) ||
153       !BN_mod_sqr(rr, rr, key->n, ctx) ||
154       !android_pubkey_encode_bignum(rr, key_struct->rr)) {
155     goto cleanup;
156   }
157 
158   // Store the exponent.
159   key_struct->exponent = (uint32_t)BN_get_word(key->e);
160 
161   ret = true;
162 
163 cleanup:
164   BN_free(rr);
165   BN_free(n0inv);
166   BN_free(r32);
167   BN_CTX_free(ctx);
168   return ret;
169 }
170