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- /* rsa_e_3.c
- **
- ** Copyright 2008, The Android Open Source Project
- **
- ** Redistribution and use in source and binary forms, with or without
- ** modification, are permitted provided that the following conditions are met:
- ** * Redistributions of source code must retain the above copyright
- ** notice, this list of conditions and the following disclaimer.
- ** * Redistributions in binary form must reproduce the above copyright
- ** notice, this list of conditions and the following disclaimer in the
- ** documentation and/or other materials provided with the distribution.
- ** * Neither the name of Google Inc. nor the names of its contributors may
- ** be used to endorse or promote products derived from this software
- ** without specific prior written permission.
- **
- ** THIS SOFTWARE IS PROVIDED BY Google Inc. ``AS IS'' AND ANY EXPRESS OR
- ** IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
- ** MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO
- ** EVENT SHALL Google Inc. BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
- ** SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
- ** PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS;
- ** OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY,
- ** WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR
- ** OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
- ** ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
- */
- #include "mincrypt/rsa.h"
- #include "mincrypt/sha.h"
- /* a[] -= mod */
- static void subM(const RSAPublicKey *key, uint32_t *a) {
- int64_t A = 0;
- int i;
- for (i = 0; i < key->len; ++i) {
- A += (uint64_t)a[i] - key->n[i];
- a[i] = (uint32_t)A;
- A >>= 32;
- }
- }
- /* return a[] >= mod */
- static int geM(const RSAPublicKey *key, const uint32_t *a) {
- int i;
- for (i = key->len; i;) {
- --i;
- if (a[i] < key->n[i]) return 0;
- if (a[i] > key->n[i]) return 1;
- }
- return 1; /* equal */
- }
- /* montgomery c[] += a * b[] / R % mod */
- static void montMulAdd(const RSAPublicKey *key,
- uint32_t* c,
- const uint32_t a,
- const uint32_t* b) {
- uint64_t A = (uint64_t)a * b[0] + c[0];
- uint32_t d0 = (uint32_t)A * key->n0inv;
- uint64_t B = (uint64_t)d0 * key->n[0] + (uint32_t)A;
- int i;
- for (i = 1; i < key->len; ++i) {
- A = (A >> 32) + (uint64_t)a * b[i] + c[i];
- B = (B >> 32) + (uint64_t)d0 * key->n[i] + (uint32_t)A;
- c[i - 1] = (uint32_t)B;
- }
- A = (A >> 32) + (B >> 32);
- c[i - 1] = (uint32_t)A;
- if (A >> 32) {
- subM(key, c);
- }
- }
- /* montgomery c[] = a[] * b[] / R % mod */
- static void montMul(const RSAPublicKey *key,
- uint32_t* c,
- const uint32_t* a,
- const uint32_t* b) {
- int i;
- for (i = 0; i < key->len; ++i) {
- c[i] = 0;
- }
- for (i = 0; i < key->len; ++i) {
- montMulAdd(key, c, a[i], b);
- }
- }
- /* In-place public exponentiation.
- ** Input and output big-endian byte array in inout.
- */
- static void modpow3(const RSAPublicKey *key,
- uint8_t* inout) {
- uint32_t a[RSANUMWORDS];
- uint32_t aR[RSANUMWORDS];
- uint32_t aaR[RSANUMWORDS];
- uint32_t *aaa = aR; /* Re-use location. */
- int i;
- /* Convert from big endian byte array to little endian word array. */
- for (i = 0; i < key->len; ++i) {
- uint32_t tmp =
- (inout[((key->len - 1 - i) * 4) + 0] << 24) |
- (inout[((key->len - 1 - i) * 4) + 1] << 16) |
- (inout[((key->len - 1 - i) * 4) + 2] << 8) |
- (inout[((key->len - 1 - i) * 4) + 3] << 0);
- a[i] = tmp;
- }
- montMul(key, aR, a, key->rr); /* aR = a * RR / R mod M */
- montMul(key, aaR, aR, aR); /* aaR = aR * aR / R mod M */
- montMul(key, aaa, aaR, a); /* aaa = aaR * a / R mod M */
- /* Make sure aaa < mod; aaa is at most 1x mod too large. */
- if (geM(key, aaa)) {
- subM(key, aaa);
- }
- /* Convert to bigendian byte array */
- for (i = key->len - 1; i >= 0; --i) {
- uint32_t tmp = aaa[i];
- *inout++ = tmp >> 24;
- *inout++ = tmp >> 16;
- *inout++ = tmp >> 8;
- *inout++ = tmp >> 0;
- }
- }
- /* Expected PKCS1.5 signature padding bytes, for a keytool RSA signature.
- ** Has the 0-length optional parameter encoded in the ASN1 (as opposed to the
- ** other flavor which omits the optional parameter entirely). This code does not
- ** accept signatures without the optional parameter.
- */
- static const uint8_t padding[RSANUMBYTES - SHA_DIGEST_SIZE] = {
- 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
- };
- /* Verify a 2048 bit RSA e=3 PKCS1.5 signature against an expected SHA-1 hash.
- ** Returns 0 on failure, 1 on success.
- */
- int RSA_e_3_verify(const RSAPublicKey *key,
- const uint8_t *signature,
- const int len,
- const uint8_t *sha) {
- uint8_t buf[RSANUMBYTES];
- int i;
- if (key->len != RSANUMWORDS) {
- return 0; /* Wrong key passed in. */
- }
- if (len != sizeof(buf)) {
- return 0; /* Wrong input length. */
- }
- if (key->exponent != 3) {
- return 0; // Wrong exponent.
- }
- for (i = 0; i < len; ++i) {
- buf[i] = signature[i];
- }
- modpow3(key, buf);
- /* Check pkcs1.5 padding bytes. */
- for (i = 0; i < (int) sizeof(padding); ++i) {
- if (buf[i] != padding[i]) {
- return 0;
- }
- }
- /* Check sha digest matches. */
- for (; i < len; ++i) {
- if (buf[i] != *sha++) {
- return 0;
- }
- }
- return 1;
- }
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