📄 sshdss.c
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PUT_32BIT(p, 7);
p += 4;
memcpy(p, "ssh-dss", 7);
p += 7;
PUT_32BIT(p, plen);
p += 4;
for (i = plen; i--;)
*p++ = bignum_byte(dss->p, i);
PUT_32BIT(p, qlen);
p += 4;
for (i = qlen; i--;)
*p++ = bignum_byte(dss->q, i);
PUT_32BIT(p, glen);
p += 4;
for (i = glen; i--;)
*p++ = bignum_byte(dss->g, i);
PUT_32BIT(p, ylen);
p += 4;
for (i = ylen; i--;)
*p++ = bignum_byte(dss->y, i);
assert(p == blob + bloblen);
*len = bloblen;
return blob;
}
static unsigned char *dss_private_blob(void *key, int *len)
{
struct dss_key *dss = (struct dss_key *) key;
int xlen, bloblen;
int i;
unsigned char *blob, *p;
xlen = (bignum_bitcount(dss->x) + 8) / 8;
/*
* mpint x, string[20] the SHA of p||q||g. Total 4 + xlen.
*/
bloblen = 4 + xlen;
blob = snewn(bloblen, unsigned char);
p = blob;
PUT_32BIT(p, xlen);
p += 4;
for (i = xlen; i--;)
*p++ = bignum_byte(dss->x, i);
assert(p == blob + bloblen);
*len = bloblen;
return blob;
}
static void *dss_createkey(unsigned char *pub_blob, int pub_len,
unsigned char *priv_blob, int priv_len)
{
struct dss_key *dss;
char *pb = (char *) priv_blob;
char *hash;
int hashlen;
SHA_State s;
unsigned char digest[20];
Bignum ytest;
dss = dss_newkey((char *) pub_blob, pub_len);
dss->x = getmp(&pb, &priv_len);
/*
* Check the obsolete hash in the old DSS key format.
*/
hashlen = -1;
getstring(&pb, &priv_len, &hash, &hashlen);
if (hashlen == 20) {
SHA_Init(&s);
sha_mpint(&s, dss->p);
sha_mpint(&s, dss->q);
sha_mpint(&s, dss->g);
SHA_Final(&s, digest);
if (0 != memcmp(hash, digest, 20)) {
dss_freekey(dss);
return NULL;
}
}
/*
* Now ensure g^x mod p really is y.
*/
ytest = modpow(dss->g, dss->x, dss->p);
if (0 != bignum_cmp(ytest, dss->y)) {
dss_freekey(dss);
return NULL;
}
freebn(ytest);
return dss;
}
static void *dss_openssh_createkey(unsigned char **blob, int *len)
{
char **b = (char **) blob;
struct dss_key *dss;
dss = snew(struct dss_key);
if (!dss)
return NULL;
dss->p = getmp(b, len);
dss->q = getmp(b, len);
dss->g = getmp(b, len);
dss->y = getmp(b, len);
dss->x = getmp(b, len);
if (!dss->p || !dss->q || !dss->g || !dss->y || !dss->x) {
sfree(dss->p);
sfree(dss->q);
sfree(dss->g);
sfree(dss->y);
sfree(dss->x);
sfree(dss);
return NULL;
}
return dss;
}
static int dss_openssh_fmtkey(void *key, unsigned char *blob, int len)
{
struct dss_key *dss = (struct dss_key *) key;
int bloblen, i;
bloblen =
ssh2_bignum_length(dss->p) +
ssh2_bignum_length(dss->q) +
ssh2_bignum_length(dss->g) +
ssh2_bignum_length(dss->y) +
ssh2_bignum_length(dss->x);
if (bloblen > len)
return bloblen;
bloblen = 0;
#define ENC(x) \
PUT_32BIT(blob+bloblen, ssh2_bignum_length((x))-4); bloblen += 4; \
for (i = ssh2_bignum_length((x))-4; i-- ;) blob[bloblen++]=bignum_byte((x),i);
ENC(dss->p);
ENC(dss->q);
ENC(dss->g);
ENC(dss->y);
ENC(dss->x);
return bloblen;
}
static int dss_pubkey_bits(void *blob, int len)
{
struct dss_key *dss;
int ret;
dss = dss_newkey((char *) blob, len);
ret = bignum_bitcount(dss->p);
dss_freekey(dss);
return ret;
}
static unsigned char *dss_sign(void *key, char *data, int datalen, int *siglen)
{
/*
* The basic DSS signing algorithm is:
*
* - invent a random k between 1 and q-1 (exclusive).
* - Compute r = (g^k mod p) mod q.
* - Compute s = k^-1 * (hash + x*r) mod q.
*
* This has the dangerous properties that:
*
* - if an attacker in possession of the public key _and_ the
* signature (for example, the host you just authenticated
* to) can guess your k, he can reverse the computation of s
* and work out x = r^-1 * (s*k - hash) mod q. That is, he
* can deduce the private half of your key, and masquerade
* as you for as long as the key is still valid.
*
* - since r is a function purely of k and the public key, if
* the attacker only has a _range of possibilities_ for k
* it's easy for him to work through them all and check each
* one against r; he'll never be unsure of whether he's got
* the right one.
*
* - if you ever sign two different hashes with the same k, it
* will be immediately obvious because the two signatures
* will have the same r, and moreover an attacker in
* possession of both signatures (and the public key of
* course) can compute k = (hash1-hash2) * (s1-s2)^-1 mod q,
* and from there deduce x as before.
*
* - the Bleichenbacher attack on DSA makes use of methods of
* generating k which are significantly non-uniformly
* distributed; in particular, generating a 160-bit random
* number and reducing it mod q is right out.
*
* For this reason we must be pretty careful about how we
* generate our k. Since this code runs on Windows, with no
* particularly good system entropy sources, we can't trust our
* RNG itself to produce properly unpredictable data. Hence, we
* use a totally different scheme instead.
*
* What we do is to take a SHA-512 (_big_) hash of the private
* key x, and then feed this into another SHA-512 hash that
* also includes the message hash being signed. That is:
*
* proto_k = SHA512 ( SHA512(x) || SHA160(message) )
*
* This number is 512 bits long, so reducing it mod q won't be
* noticeably non-uniform. So
*
* k = proto_k mod q
*
* This has the interesting property that it's _deterministic_:
* signing the same hash twice with the same key yields the
* same signature.
*
* Despite this determinism, it's still not predictable to an
* attacker, because in order to repeat the SHA-512
* construction that created it, the attacker would have to
* know the private key value x - and by assumption he doesn't,
* because if he knew that he wouldn't be attacking k!
*
* (This trick doesn't, _per se_, protect against reuse of k.
* Reuse of k is left to chance; all it does is prevent
* _excessively high_ chances of reuse of k due to entropy
* problems.)
*
* Thanks to Colin Plumb for the general idea of using x to
* ensure k is hard to guess, and to the Cambridge University
* Computer Security Group for helping to argue out all the
* fine details.
*/
struct dss_key *dss = (struct dss_key *) key;
SHA512_State ss;
unsigned char digest[20], digest512[64];
Bignum proto_k, k, gkp, hash, kinv, hxr, r, s;
unsigned char *bytes;
int nbytes, i;
SHA_Simple(data, datalen, digest);
/*
* Hash some identifying text plus x.
*/
SHA512_Init(&ss);
SHA512_Bytes(&ss, "DSA deterministic k generator", 30);
sha512_mpint(&ss, dss->x);
SHA512_Final(&ss, digest512);
/*
* Now hash that digest plus the message hash.
*/
SHA512_Init(&ss);
SHA512_Bytes(&ss, digest512, sizeof(digest512));
SHA512_Bytes(&ss, digest, sizeof(digest));
SHA512_Final(&ss, digest512);
memset(&ss, 0, sizeof(ss));
/*
* Now convert the result into a bignum, and reduce it mod q.
*/
proto_k = bignum_from_bytes(digest512, 64);
k = bigmod(proto_k, dss->q);
freebn(proto_k);
memset(digest512, 0, sizeof(digest512));
/*
* Now we have k, so just go ahead and compute the signature.
*/
gkp = modpow(dss->g, k, dss->p); /* g^k mod p */
r = bigmod(gkp, dss->q); /* r = (g^k mod p) mod q */
freebn(gkp);
hash = bignum_from_bytes(digest, 20);
kinv = modinv(k, dss->q); /* k^-1 mod q */
hxr = bigmuladd(dss->x, r, hash); /* hash + x*r */
s = modmul(kinv, hxr, dss->q); /* s = k^-1 * (hash + x*r) mod q */
freebn(hxr);
freebn(kinv);
freebn(hash);
/*
* Signature blob is
*
* string "ssh-dss"
* string two 20-byte numbers r and s, end to end
*
* i.e. 4+7 + 4+40 bytes.
*/
nbytes = 4 + 7 + 4 + 40;
bytes = snewn(nbytes, unsigned char);
PUT_32BIT(bytes, 7);
memcpy(bytes + 4, "ssh-dss", 7);
PUT_32BIT(bytes + 4 + 7, 40);
for (i = 0; i < 20; i++) {
bytes[4 + 7 + 4 + i] = bignum_byte(r, 19 - i);
bytes[4 + 7 + 4 + 20 + i] = bignum_byte(s, 19 - i);
}
freebn(r);
freebn(s);
*siglen = nbytes;
return bytes;
}
const struct ssh_signkey ssh_dss = {
dss_newkey,
dss_freekey,
dss_fmtkey,
dss_public_blob,
dss_private_blob,
dss_createkey,
dss_openssh_createkey,
dss_openssh_fmtkey,
dss_pubkey_bits,
dss_fingerprint,
dss_verifysig,
dss_sign,
"ssh-dss",
"dss"
};
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