📄 sshrsa.c
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/*
* RSA implementation for PuTTY.
*/
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <assert.h>
#include "ssh.h"
#include "misc.h"
#define GET_32BIT(cp) \
(((unsigned long)(unsigned char)(cp)[0] << 24) | \
((unsigned long)(unsigned char)(cp)[1] << 16) | \
((unsigned long)(unsigned char)(cp)[2] << 8) | \
((unsigned long)(unsigned char)(cp)[3]))
#define PUT_32BIT(cp, value) { \
(cp)[0] = (unsigned char)((value) >> 24); \
(cp)[1] = (unsigned char)((value) >> 16); \
(cp)[2] = (unsigned char)((value) >> 8); \
(cp)[3] = (unsigned char)(value); }
int makekey(unsigned char *data, struct RSAKey *result,
unsigned char **keystr, int order)
{
unsigned char *p = data;
int i;
if (result) {
result->bits = 0;
for (i = 0; i < 4; i++)
result->bits = (result->bits << 8) + *p++;
} else
p += 4;
/*
* order=0 means exponent then modulus (the keys sent by the
* server). order=1 means modulus then exponent (the keys
* stored in a keyfile).
*/
if (order == 0)
p += ssh1_read_bignum(p, result ? &result->exponent : NULL);
if (result)
result->bytes = (((p[0] << 8) + p[1]) + 7) / 8;
if (keystr)
*keystr = p + 2;
p += ssh1_read_bignum(p, result ? &result->modulus : NULL);
if (order == 1)
p += ssh1_read_bignum(p, result ? &result->exponent : NULL);
return p - data;
}
int makeprivate(unsigned char *data, struct RSAKey *result)
{
return ssh1_read_bignum(data, &result->private_exponent);
}
void rsaencrypt(unsigned char *data, int length, struct RSAKey *key)
{
Bignum b1, b2;
int i;
unsigned char *p;
memmove(data + key->bytes - length, data, length);
data[0] = 0;
data[1] = 2;
for (i = 2; i < key->bytes - length - 1; i++) {
do {
data[i] = random_byte();
} while (data[i] == 0);
}
data[key->bytes - length - 1] = 0;
b1 = bignum_from_bytes(data, key->bytes);
b2 = modpow(b1, key->exponent, key->modulus);
p = data;
for (i = key->bytes; i--;) {
*p++ = bignum_byte(b2, i);
}
freebn(b1);
freebn(b2);
}
static void sha512_mpint(SHA512_State * s, Bignum b)
{
unsigned char lenbuf[4];
int len;
len = (bignum_bitcount(b) + 8) / 8;
PUT_32BIT(lenbuf, len);
SHA512_Bytes(s, lenbuf, 4);
while (len-- > 0) {
lenbuf[0] = bignum_byte(b, len);
SHA512_Bytes(s, lenbuf, 1);
}
memset(lenbuf, 0, sizeof(lenbuf));
}
/*
* This function is a wrapper on modpow(). It has the same effect
* as modpow(), but employs RSA blinding to protect against timing
* attacks.
*/
static Bignum rsa_privkey_op(Bignum input, struct RSAKey *key)
{
Bignum random, random_encrypted, random_inverse;
Bignum input_blinded, ret_blinded;
Bignum ret;
SHA512_State ss;
unsigned char digest512[64];
int digestused = lenof(digest512);
int hashseq = 0;
/*
* Start by inventing a random number chosen uniformly from the
* range 2..modulus-1. (We do this by preparing a random number
* of the right length and retrying if it's greater than the
* modulus, to prevent any potential Bleichenbacher-like
* attacks making use of the uneven distribution within the
* range that would arise from just reducing our number mod n.
* There are timing implications to the potential retries, of
* course, but all they tell you is the modulus, which you
* already knew.)
*
* To preserve determinism and avoid Pageant needing to share
* the random number pool, we actually generate this `random'
* number by hashing stuff with the private key.
*/
while (1) {
int bits, byte, bitsleft, v;
random = copybn(key->modulus);
/*
* Find the topmost set bit. (This function will return its
* index plus one.) Then we'll set all bits from that one
* downwards randomly.
*/
bits = bignum_bitcount(random);
byte = 0;
bitsleft = 0;
while (bits--) {
if (bitsleft <= 0) {
bitsleft = 8;
/*
* Conceptually the following few lines are equivalent to
* byte = random_byte();
*/
if (digestused >= lenof(digest512)) {
unsigned char seqbuf[4];
PUT_32BIT(seqbuf, hashseq);
SHA512_Init(&ss);
SHA512_Bytes(&ss, "RSA deterministic blinding", 26);
SHA512_Bytes(&ss, seqbuf, sizeof(seqbuf));
sha512_mpint(&ss, key->private_exponent);
SHA512_Final(&ss, digest512);
hashseq++;
/*
* Now hash that digest plus the signature
* input.
*/
SHA512_Init(&ss);
SHA512_Bytes(&ss, digest512, sizeof(digest512));
sha512_mpint(&ss, input);
SHA512_Final(&ss, digest512);
digestused = 0;
}
byte = digest512[digestused++];
}
v = byte & 1;
byte >>= 1;
bitsleft--;
bignum_set_bit(random, bits, v);
}
/*
* Now check that this number is strictly greater than
* zero, and strictly less than modulus.
*/
if (bignum_cmp(random, Zero) <= 0 ||
bignum_cmp(random, key->modulus) >= 0) {
freebn(random);
continue;
} else {
break;
}
}
/*
* RSA blinding relies on the fact that (xy)^d mod n is equal
* to (x^d mod n) * (y^d mod n) mod n. We invent a random pair
* y and y^d; then we multiply x by y, raise to the power d mod
* n as usual, and divide by y^d to recover x^d. Thus an
* attacker can't correlate the timing of the modpow with the
* input, because they don't know anything about the number
* that was input to the actual modpow.
*
* The clever bit is that we don't have to do a huge modpow to
* get y and y^d; we will use the number we just invented as
* _y^d_, and use the _public_ exponent to compute (y^d)^e = y
* from it, which is much faster to do.
*/
random_encrypted = modpow(random, key->exponent, key->modulus);
random_inverse = modinv(random, key->modulus);
input_blinded = modmul(input, random_encrypted, key->modulus);
ret_blinded = modpow(input_blinded, key->private_exponent, key->modulus);
ret = modmul(ret_blinded, random_inverse, key->modulus);
freebn(ret_blinded);
freebn(input_blinded);
freebn(random_inverse);
freebn(random_encrypted);
freebn(random);
return ret;
}
Bignum rsadecrypt(Bignum input, struct RSAKey *key)
{
return rsa_privkey_op(input, key);
}
int rsastr_len(struct RSAKey *key)
{
Bignum md, ex;
int mdlen, exlen;
md = key->modulus;
ex = key->exponent;
mdlen = (bignum_bitcount(md) + 15) / 16;
exlen = (bignum_bitcount(ex) + 15) / 16;
return 4 * (mdlen + exlen) + 20;
}
void rsastr_fmt(char *str, struct RSAKey *key)
{
Bignum md, ex;
int len = 0, i, nibbles;
static const char hex[] = "0123456789abcdef";
md = key->modulus;
ex = key->exponent;
len += sprintf(str + len, "0x");
nibbles = (3 + bignum_bitcount(ex)) / 4;
if (nibbles < 1)
nibbles = 1;
for (i = nibbles; i--;)
str[len++] = hex[(bignum_byte(ex, i / 2) >> (4 * (i % 2))) & 0xF];
len += sprintf(str + len, ",0x");
nibbles = (3 + bignum_bitcount(md)) / 4;
if (nibbles < 1)
nibbles = 1;
for (i = nibbles; i--;)
str[len++] = hex[(bignum_byte(md, i / 2) >> (4 * (i % 2))) & 0xF];
str[len] = '\0';
}
/*
* Generate a fingerprint string for the key. Compatible with the
* OpenSSH fingerprint code.
*/
void rsa_fingerprint(char *str, int len, struct RSAKey *key)
{
struct MD5Context md5c;
unsigned char digest[16];
char buffer[16 * 3 + 40];
int numlen, slen, i;
MD5Init(&md5c);
numlen = ssh1_bignum_length(key->modulus) - 2;
for (i = numlen; i--;) {
unsigned char c = bignum_byte(key->modulus, i);
MD5Update(&md5c, &c, 1);
}
numlen = ssh1_bignum_length(key->exponent) - 2;
for (i = numlen; i--;) {
unsigned char c = bignum_byte(key->exponent, i);
MD5Update(&md5c, &c, 1);
}
MD5Final(digest, &md5c);
sprintf(buffer, "%d ", bignum_bitcount(key->modulus));
for (i = 0; i < 16; i++)
sprintf(buffer + strlen(buffer), "%s%02x", i ? ":" : "",
digest[i]);
strncpy(str, buffer, len);
str[len - 1] = '\0';
slen = strlen(str);
if (key->comment && slen < len - 1) {
str[slen] = ' ';
strncpy(str + slen + 1, key->comment, len - slen - 1);
str[len - 1] = '\0';
}
}
/*
* Verify that the public data in an RSA key matches the private
* data. We also check the private data itself: we ensure that p >
* q and that iqmp really is the inverse of q mod p.
*/
int rsa_verify(struct RSAKey *key)
{
Bignum n, ed, pm1, qm1;
int cmp;
/* n must equal pq. */
n = bigmul(key->p, key->q);
cmp = bignum_cmp(n, key->modulus);
freebn(n);
if (cmp != 0)
return 0;
/* e * d must be congruent to 1, modulo (p-1) and modulo (q-1). */
pm1 = copybn(key->p);
decbn(pm1);
ed = modmul(key->exponent, key->private_exponent, pm1);
cmp = bignum_cmp(ed, One);
sfree(ed);
if (cmp != 0)
return 0;
qm1 = copybn(key->q);
decbn(qm1);
ed = modmul(key->exponent, key->private_exponent, qm1);
cmp = bignum_cmp(ed, One);
sfree(ed);
if (cmp != 0)
return 0;
/*
* Ensure p > q.
*/
if (bignum_cmp(key->p, key->q) <= 0)
return 0;
/*
* Ensure iqmp * q is congruent to 1, modulo p.
*/
n = modmul(key->iqmp, key->q, key->p);
cmp = bignum_cmp(n, One);
sfree(n);
if (cmp != 0)
return 0;
return 1;
}
/* Public key blob as used by Pageant: exponent before modulus. */
unsigned char *rsa_public_blob(struct RSAKey *key, int *len)
{
int length, pos;
unsigned char *ret;
length = (ssh1_bignum_length(key->modulus) +
ssh1_bignum_length(key->exponent) + 4);
ret = snewn(length, unsigned char);
PUT_32BIT(ret, bignum_bitcount(key->modulus));
pos = 4;
pos += ssh1_write_bignum(ret + pos, key->exponent);
pos += ssh1_write_bignum(ret + pos, key->modulus);
*len = length;
return ret;
}
/* Given a public blob, determine its length. */
int rsa_public_blob_len(void *data)
{
unsigned char *p = (unsigned char *)data;
p += 4; /* length word */
p += ssh1_read_bignum(p, NULL); /* exponent */
p += ssh1_read_bignum(p, NULL); /* modulus */
return p - (unsigned char *)data;
}
void freersakey(struct RSAKey *key)
{
if (key->modulus)
freebn(key->modulus);
if (key->exponent)
freebn(key->exponent);
if (key->private_exponent)
freebn(key->private_exponent);
if (key->comment)
sfree(key->comment);
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