diff options
Diffstat (limited to 'tools/plink/sshdss.c')
-rw-r--r-- | tools/plink/sshdss.c | 1343 |
1 files changed, 700 insertions, 643 deletions
diff --git a/tools/plink/sshdss.c b/tools/plink/sshdss.c index dba1db1b4..84fcdac79 100644 --- a/tools/plink/sshdss.c +++ b/tools/plink/sshdss.c @@ -1,643 +1,700 @@ -/*
- * Digital Signature Standard implementation for PuTTY.
- */
-
-#include <stdio.h>
-#include <stdlib.h>
-#include <assert.h>
-
-#include "ssh.h"
-#include "misc.h"
-
-static void sha_mpint(SHA_State * s, Bignum b)
-{
- unsigned char lenbuf[4];
- int len;
- len = (bignum_bitcount(b) + 8) / 8;
- PUT_32BIT(lenbuf, len);
- SHA_Bytes(s, lenbuf, 4);
- while (len-- > 0) {
- lenbuf[0] = bignum_byte(b, len);
- SHA_Bytes(s, lenbuf, 1);
- }
- memset(lenbuf, 0, sizeof(lenbuf));
-}
-
-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));
-}
-
-static void getstring(char **data, int *datalen, char **p, int *length)
-{
- *p = NULL;
- if (*datalen < 4)
- return;
- *length = GET_32BIT(*data);
- *datalen -= 4;
- *data += 4;
- if (*datalen < *length)
- return;
- *p = *data;
- *data += *length;
- *datalen -= *length;
-}
-static Bignum getmp(char **data, int *datalen)
-{
- char *p;
- int length;
- Bignum b;
-
- getstring(data, datalen, &p, &length);
- if (!p)
- return NULL;
- if (p[0] & 0x80)
- return NULL; /* negative mp */
- b = bignum_from_bytes((unsigned char *)p, length);
- return b;
-}
-
-static Bignum get160(char **data, int *datalen)
-{
- Bignum b;
-
- b = bignum_from_bytes((unsigned char *)*data, 20);
- *data += 20;
- *datalen -= 20;
-
- return b;
-}
-
-static void *dss_newkey(char *data, int len)
-{
- char *p;
- int slen;
- struct dss_key *dss;
-
- dss = snew(struct dss_key);
- if (!dss)
- return NULL;
- getstring(&data, &len, &p, &slen);
-
-#ifdef DEBUG_DSS
- {
- int i;
- printf("key:");
- for (i = 0; i < len; i++)
- printf(" %02x", (unsigned char) (data[i]));
- printf("\n");
- }
-#endif
-
- if (!p || memcmp(p, "ssh-dss", 7)) {
- sfree(dss);
- return NULL;
- }
- dss->p = getmp(&data, &len);
- dss->q = getmp(&data, &len);
- dss->g = getmp(&data, &len);
- dss->y = getmp(&data, &len);
-
- return dss;
-}
-
-static void dss_freekey(void *key)
-{
- struct dss_key *dss = (struct dss_key *) key;
- freebn(dss->p);
- freebn(dss->q);
- freebn(dss->g);
- freebn(dss->y);
- sfree(dss);
-}
-
-static char *dss_fmtkey(void *key)
-{
- struct dss_key *dss = (struct dss_key *) key;
- char *p;
- int len, i, pos, nibbles;
- static const char hex[] = "0123456789abcdef";
- if (!dss->p)
- return NULL;
- len = 8 + 4 + 1; /* 4 x "0x", punctuation, \0 */
- len += 4 * (bignum_bitcount(dss->p) + 15) / 16;
- len += 4 * (bignum_bitcount(dss->q) + 15) / 16;
- len += 4 * (bignum_bitcount(dss->g) + 15) / 16;
- len += 4 * (bignum_bitcount(dss->y) + 15) / 16;
- p = snewn(len, char);
- if (!p)
- return NULL;
-
- pos = 0;
- pos += sprintf(p + pos, "0x");
- nibbles = (3 + bignum_bitcount(dss->p)) / 4;
- if (nibbles < 1)
- nibbles = 1;
- for (i = nibbles; i--;)
- p[pos++] =
- hex[(bignum_byte(dss->p, i / 2) >> (4 * (i % 2))) & 0xF];
- pos += sprintf(p + pos, ",0x");
- nibbles = (3 + bignum_bitcount(dss->q)) / 4;
- if (nibbles < 1)
- nibbles = 1;
- for (i = nibbles; i--;)
- p[pos++] =
- hex[(bignum_byte(dss->q, i / 2) >> (4 * (i % 2))) & 0xF];
- pos += sprintf(p + pos, ",0x");
- nibbles = (3 + bignum_bitcount(dss->g)) / 4;
- if (nibbles < 1)
- nibbles = 1;
- for (i = nibbles; i--;)
- p[pos++] =
- hex[(bignum_byte(dss->g, i / 2) >> (4 * (i % 2))) & 0xF];
- pos += sprintf(p + pos, ",0x");
- nibbles = (3 + bignum_bitcount(dss->y)) / 4;
- if (nibbles < 1)
- nibbles = 1;
- for (i = nibbles; i--;)
- p[pos++] =
- hex[(bignum_byte(dss->y, i / 2) >> (4 * (i % 2))) & 0xF];
- p[pos] = '\0';
- return p;
-}
-
-static char *dss_fingerprint(void *key)
-{
- struct dss_key *dss = (struct dss_key *) key;
- struct MD5Context md5c;
- unsigned char digest[16], lenbuf[4];
- char buffer[16 * 3 + 40];
- char *ret;
- int numlen, i;
-
- MD5Init(&md5c);
- MD5Update(&md5c, (unsigned char *)"\0\0\0\7ssh-dss", 11);
-
-#define ADD_BIGNUM(bignum) \
- numlen = (bignum_bitcount(bignum)+8)/8; \
- PUT_32BIT(lenbuf, numlen); MD5Update(&md5c, lenbuf, 4); \
- for (i = numlen; i-- ;) { \
- unsigned char c = bignum_byte(bignum, i); \
- MD5Update(&md5c, &c, 1); \
- }
- ADD_BIGNUM(dss->p);
- ADD_BIGNUM(dss->q);
- ADD_BIGNUM(dss->g);
- ADD_BIGNUM(dss->y);
-#undef ADD_BIGNUM
-
- MD5Final(digest, &md5c);
-
- sprintf(buffer, "ssh-dss %d ", bignum_bitcount(dss->p));
- for (i = 0; i < 16; i++)
- sprintf(buffer + strlen(buffer), "%s%02x", i ? ":" : "",
- digest[i]);
- ret = snewn(strlen(buffer) + 1, char);
- if (ret)
- strcpy(ret, buffer);
- return ret;
-}
-
-static int dss_verifysig(void *key, char *sig, int siglen,
- char *data, int datalen)
-{
- struct dss_key *dss = (struct dss_key *) key;
- char *p;
- int slen;
- char hash[20];
- Bignum r, s, w, gu1p, yu2p, gu1yu2p, u1, u2, sha, v;
- int ret;
-
- if (!dss->p)
- return 0;
-
-#ifdef DEBUG_DSS
- {
- int i;
- printf("sig:");
- for (i = 0; i < siglen; i++)
- printf(" %02x", (unsigned char) (sig[i]));
- printf("\n");
- }
-#endif
- /*
- * Commercial SSH (2.0.13) and OpenSSH disagree over the format
- * of a DSA signature. OpenSSH is in line with RFC 4253:
- * it uses a string "ssh-dss", followed by a 40-byte string
- * containing two 160-bit integers end-to-end. Commercial SSH
- * can't be bothered with the header bit, and considers a DSA
- * signature blob to be _just_ the 40-byte string containing
- * the two 160-bit integers. We tell them apart by measuring
- * the length: length 40 means the commercial-SSH bug, anything
- * else is assumed to be RFC-compliant.
- */
- if (siglen != 40) { /* bug not present; read admin fields */
- getstring(&sig, &siglen, &p, &slen);
- if (!p || slen != 7 || memcmp(p, "ssh-dss", 7)) {
- return 0;
- }
- sig += 4, siglen -= 4; /* skip yet another length field */
- }
- r = get160(&sig, &siglen);
- s = get160(&sig, &siglen);
- if (!r || !s)
- return 0;
-
- /*
- * Step 1. w <- s^-1 mod q.
- */
- w = modinv(s, dss->q);
-
- /*
- * Step 2. u1 <- SHA(message) * w mod q.
- */
- SHA_Simple(data, datalen, (unsigned char *)hash);
- p = hash;
- slen = 20;
- sha = get160(&p, &slen);
- u1 = modmul(sha, w, dss->q);
-
- /*
- * Step 3. u2 <- r * w mod q.
- */
- u2 = modmul(r, w, dss->q);
-
- /*
- * Step 4. v <- (g^u1 * y^u2 mod p) mod q.
- */
- gu1p = modpow(dss->g, u1, dss->p);
- yu2p = modpow(dss->y, u2, dss->p);
- gu1yu2p = modmul(gu1p, yu2p, dss->p);
- v = modmul(gu1yu2p, One, dss->q);
-
- /*
- * Step 5. v should now be equal to r.
- */
-
- ret = !bignum_cmp(v, r);
-
- freebn(w);
- freebn(sha);
- freebn(gu1p);
- freebn(yu2p);
- freebn(gu1yu2p);
- freebn(v);
- freebn(r);
- freebn(s);
-
- return ret;
-}
-
-static unsigned char *dss_public_blob(void *key, int *len)
-{
- struct dss_key *dss = (struct dss_key *) key;
- int plen, qlen, glen, ylen, bloblen;
- int i;
- unsigned char *blob, *p;
-
- plen = (bignum_bitcount(dss->p) + 8) / 8;
- qlen = (bignum_bitcount(dss->q) + 8) / 8;
- glen = (bignum_bitcount(dss->g) + 8) / 8;
- ylen = (bignum_bitcount(dss->y) + 8) / 8;
-
- /*
- * string "ssh-dss", mpint p, mpint q, mpint g, mpint y. Total
- * 27 + sum of lengths. (five length fields, 20+7=27).
- */
- bloblen = 27 + plen + qlen + glen + ylen;
- blob = snewn(bloblen, unsigned char);
- p = blob;
- 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"
-};
+/* + * Digital Signature Standard implementation for PuTTY. + */ + +#include <stdio.h> +#include <stdlib.h> +#include <assert.h> + +#include "ssh.h" +#include "misc.h" + +static void sha_mpint(SHA_State * s, Bignum b) +{ + unsigned char lenbuf[4]; + int len; + len = (bignum_bitcount(b) + 8) / 8; + PUT_32BIT(lenbuf, len); + SHA_Bytes(s, lenbuf, 4); + while (len-- > 0) { + lenbuf[0] = bignum_byte(b, len); + SHA_Bytes(s, lenbuf, 1); + } + smemclr(lenbuf, sizeof(lenbuf)); +} + +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); + } + smemclr(lenbuf, sizeof(lenbuf)); +} + +static void getstring(char **data, int *datalen, char **p, int *length) +{ + *p = NULL; + if (*datalen < 4) + return; + *length = toint(GET_32BIT(*data)); + if (*length < 0) + return; + *datalen -= 4; + *data += 4; + if (*datalen < *length) + return; + *p = *data; + *data += *length; + *datalen -= *length; +} +static Bignum getmp(char **data, int *datalen) +{ + char *p; + int length; + Bignum b; + + getstring(data, datalen, &p, &length); + if (!p) + return NULL; + if (p[0] & 0x80) + return NULL; /* negative mp */ + b = bignum_from_bytes((unsigned char *)p, length); + return b; +} + +static Bignum get160(char **data, int *datalen) +{ + Bignum b; + + if (*datalen < 20) + return NULL; + + b = bignum_from_bytes((unsigned char *)*data, 20); + *data += 20; + *datalen -= 20; + + return b; +} + +static void dss_freekey(void *key); /* forward reference */ + +static void *dss_newkey(char *data, int len) +{ + char *p; + int slen; + struct dss_key *dss; + + dss = snew(struct dss_key); + getstring(&data, &len, &p, &slen); + +#ifdef DEBUG_DSS + { + int i; + printf("key:"); + for (i = 0; i < len; i++) + printf(" %02x", (unsigned char) (data[i])); + printf("\n"); + } +#endif + + if (!p || slen != 7 || memcmp(p, "ssh-dss", 7)) { + sfree(dss); + return NULL; + } + dss->p = getmp(&data, &len); + dss->q = getmp(&data, &len); + dss->g = getmp(&data, &len); + dss->y = getmp(&data, &len); + dss->x = NULL; + + if (!dss->p || !dss->q || !dss->g || !dss->y || + !bignum_cmp(dss->q, Zero) || !bignum_cmp(dss->p, Zero)) { + /* Invalid key. */ + dss_freekey(dss); + return NULL; + } + + return dss; +} + +static void dss_freekey(void *key) +{ + struct dss_key *dss = (struct dss_key *) key; + if (dss->p) + freebn(dss->p); + if (dss->q) + freebn(dss->q); + if (dss->g) + freebn(dss->g); + if (dss->y) + freebn(dss->y); + if (dss->x) + freebn(dss->x); + sfree(dss); +} + +static char *dss_fmtkey(void *key) +{ + struct dss_key *dss = (struct dss_key *) key; + char *p; + int len, i, pos, nibbles; + static const char hex[] = "0123456789abcdef"; + if (!dss->p) + return NULL; + len = 8 + 4 + 1; /* 4 x "0x", punctuation, \0 */ + len += 4 * (bignum_bitcount(dss->p) + 15) / 16; + len += 4 * (bignum_bitcount(dss->q) + 15) / 16; + len += 4 * (bignum_bitcount(dss->g) + 15) / 16; + len += 4 * (bignum_bitcount(dss->y) + 15) / 16; + p = snewn(len, char); + if (!p) + return NULL; + + pos = 0; + pos += sprintf(p + pos, "0x"); + nibbles = (3 + bignum_bitcount(dss->p)) / 4; + if (nibbles < 1) + nibbles = 1; + for (i = nibbles; i--;) + p[pos++] = + hex[(bignum_byte(dss->p, i / 2) >> (4 * (i % 2))) & 0xF]; + pos += sprintf(p + pos, ",0x"); + nibbles = (3 + bignum_bitcount(dss->q)) / 4; + if (nibbles < 1) + nibbles = 1; + for (i = nibbles; i--;) + p[pos++] = + hex[(bignum_byte(dss->q, i / 2) >> (4 * (i % 2))) & 0xF]; + pos += sprintf(p + pos, ",0x"); + nibbles = (3 + bignum_bitcount(dss->g)) / 4; + if (nibbles < 1) + nibbles = 1; + for (i = nibbles; i--;) + p[pos++] = + hex[(bignum_byte(dss->g, i / 2) >> (4 * (i % 2))) & 0xF]; + pos += sprintf(p + pos, ",0x"); + nibbles = (3 + bignum_bitcount(dss->y)) / 4; + if (nibbles < 1) + nibbles = 1; + for (i = nibbles; i--;) + p[pos++] = + hex[(bignum_byte(dss->y, i / 2) >> (4 * (i % 2))) & 0xF]; + p[pos] = '\0'; + return p; +} + +static char *dss_fingerprint(void *key) +{ + struct dss_key *dss = (struct dss_key *) key; + struct MD5Context md5c; + unsigned char digest[16], lenbuf[4]; + char buffer[16 * 3 + 40]; + char *ret; + int numlen, i; + + MD5Init(&md5c); + MD5Update(&md5c, (unsigned char *)"\0\0\0\7ssh-dss", 11); + +#define ADD_BIGNUM(bignum) \ + numlen = (bignum_bitcount(bignum)+8)/8; \ + PUT_32BIT(lenbuf, numlen); MD5Update(&md5c, lenbuf, 4); \ + for (i = numlen; i-- ;) { \ + unsigned char c = bignum_byte(bignum, i); \ + MD5Update(&md5c, &c, 1); \ + } + ADD_BIGNUM(dss->p); + ADD_BIGNUM(dss->q); + ADD_BIGNUM(dss->g); + ADD_BIGNUM(dss->y); +#undef ADD_BIGNUM + + MD5Final(digest, &md5c); + + sprintf(buffer, "ssh-dss %d ", bignum_bitcount(dss->p)); + for (i = 0; i < 16; i++) + sprintf(buffer + strlen(buffer), "%s%02x", i ? ":" : "", + digest[i]); + ret = snewn(strlen(buffer) + 1, char); + if (ret) + strcpy(ret, buffer); + return ret; +} + +static int dss_verifysig(void *key, char *sig, int siglen, + char *data, int datalen) +{ + struct dss_key *dss = (struct dss_key *) key; + char *p; + int slen; + char hash[20]; + Bignum r, s, w, gu1p, yu2p, gu1yu2p, u1, u2, sha, v; + int ret; + + if (!dss->p) + return 0; + +#ifdef DEBUG_DSS + { + int i; + printf("sig:"); + for (i = 0; i < siglen; i++) + printf(" %02x", (unsigned char) (sig[i])); + printf("\n"); + } +#endif + /* + * Commercial SSH (2.0.13) and OpenSSH disagree over the format + * of a DSA signature. OpenSSH is in line with RFC 4253: + * it uses a string "ssh-dss", followed by a 40-byte string + * containing two 160-bit integers end-to-end. Commercial SSH + * can't be bothered with the header bit, and considers a DSA + * signature blob to be _just_ the 40-byte string containing + * the two 160-bit integers. We tell them apart by measuring + * the length: length 40 means the commercial-SSH bug, anything + * else is assumed to be RFC-compliant. + */ + if (siglen != 40) { /* bug not present; read admin fields */ + getstring(&sig, &siglen, &p, &slen); + if (!p || slen != 7 || memcmp(p, "ssh-dss", 7)) { + return 0; + } + sig += 4, siglen -= 4; /* skip yet another length field */ + } + r = get160(&sig, &siglen); + s = get160(&sig, &siglen); + if (!r || !s) { + if (r) + freebn(r); + if (s) + freebn(s); + return 0; + } + + if (!bignum_cmp(s, Zero)) { + freebn(r); + freebn(s); + return 0; + } + + /* + * Step 1. w <- s^-1 mod q. + */ + w = modinv(s, dss->q); + if (!w) { + freebn(r); + freebn(s); + return 0; + } + + /* + * Step 2. u1 <- SHA(message) * w mod q. + */ + SHA_Simple(data, datalen, (unsigned char *)hash); + p = hash; + slen = 20; + sha = get160(&p, &slen); + u1 = modmul(sha, w, dss->q); + + /* + * Step 3. u2 <- r * w mod q. + */ + u2 = modmul(r, w, dss->q); + + /* + * Step 4. v <- (g^u1 * y^u2 mod p) mod q. + */ + gu1p = modpow(dss->g, u1, dss->p); + yu2p = modpow(dss->y, u2, dss->p); + gu1yu2p = modmul(gu1p, yu2p, dss->p); + v = modmul(gu1yu2p, One, dss->q); + + /* + * Step 5. v should now be equal to r. + */ + + ret = !bignum_cmp(v, r); + + freebn(w); + freebn(sha); + freebn(u1); + freebn(u2); + freebn(gu1p); + freebn(yu2p); + freebn(gu1yu2p); + freebn(v); + freebn(r); + freebn(s); + + return ret; +} + +static unsigned char *dss_public_blob(void *key, int *len) +{ + struct dss_key *dss = (struct dss_key *) key; + int plen, qlen, glen, ylen, bloblen; + int i; + unsigned char *blob, *p; + + plen = (bignum_bitcount(dss->p) + 8) / 8; + qlen = (bignum_bitcount(dss->q) + 8) / 8; + glen = (bignum_bitcount(dss->g) + 8) / 8; + ylen = (bignum_bitcount(dss->y) + 8) / 8; + + /* + * string "ssh-dss", mpint p, mpint q, mpint g, mpint y. Total + * 27 + sum of lengths. (five length fields, 20+7=27). + */ + bloblen = 27 + plen + qlen + glen + ylen; + blob = snewn(bloblen, unsigned char); + p = blob; + 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); + if (!dss) + return NULL; + dss->x = getmp(&pb, &priv_len); + if (!dss->x) { + dss_freekey(dss); + return NULL; + } + + /* + * 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); + freebn(ytest); + 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); + + 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 || + !bignum_cmp(dss->q, Zero) || !bignum_cmp(dss->p, Zero)) { + /* Invalid key. */ + dss_freekey(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); + if (!dss) + return -1; + 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)); + + while (1) { + SHA512_State ss2 = ss; /* structure copy */ + SHA512_Final(&ss2, digest512); + + smemclr(&ss2, sizeof(ss2)); + + /* + * 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); + kinv = modinv(k, dss->q); /* k^-1 mod q */ + if (!kinv) { /* very unlikely */ + freebn(k); + /* Perturb the hash to think of a different k. */ + SHA512_Bytes(&ss, "x", 1); + /* Go round and try again. */ + continue; + } + + break; + } + + smemclr(&ss, sizeof(ss)); + + smemclr(digest512, 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); + 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(k); + 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" +}; |