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putty-source/sshdssg.c

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/*
* DSS key generation.
*/
#include "misc.h"
#include "ssh.h"
#include "sshkeygen.h"
Complete rewrite of PuTTY's bignum library. The old 'Bignum' data type is gone completely, and so is sshbn.c. In its place is a new thing called 'mp_int', handled by an entirely new library module mpint.c, with API differences both large and small. The main aim of this change is that the new library should be free of timing- and cache-related side channels. I've written the code so that it _should_ - assuming I haven't made any mistakes - do all of its work without either control flow or memory addressing depending on the data words of the input numbers. (Though, being an _arbitrary_ precision library, it does have to at least depend on the sizes of the numbers - but there's a 'formal' size that can vary separately from the actual magnitude of the represented integer, so if you want to keep it secret that your number is actually small, it should work fine to have a very long mp_int and just happen to store 23 in it.) So I've done all my conditionalisation by means of computing both answers and doing bit-masking to swap the right one into place, and all loops over the words of an mp_int go up to the formal size rather than the actual size. I haven't actually tested the constant-time property in any rigorous way yet (I'm still considering the best way to do it). But this code is surely at the very least a big improvement on the old version, even if I later find a few more things to fix. I've also completely rewritten the low-level elliptic curve arithmetic from sshecc.c; the new ecc.c is closer to being an adjunct of mpint.c than it is to the SSH end of the code. The new elliptic curve code keeps all coordinates in Montgomery-multiplication transformed form to speed up all the multiplications mod the same prime, and only converts them back when you ask for the affine coordinates. Also, I adopted extended coordinates for the Edwards curve implementation. sshecc.c has also had a near-total rewrite in the course of switching it over to the new system. While I was there, I've separated ECDSA and EdDSA more completely - they now have separate vtables, instead of a single vtable in which nearly every function had a big if statement in it - and also made the externally exposed types for an ECDSA key and an ECDH context different. A minor new feature: since the new arithmetic code includes a modular square root function, we can now support the compressed point representation for the NIST curves. We seem to have been getting along fine without that so far, but it seemed a shame not to put it in, since it was suddenly easy. In sshrsa.c, one major change is that I've removed the RSA blinding step in rsa_privkey_op, in which we randomise the ciphertext before doing the decryption. The purpose of that was to avoid timing leaks giving away the plaintext - but the new arithmetic code should take that in its stride in the course of also being careful enough to avoid leaking the _private key_, which RSA blinding had no way to do anything about in any case. Apart from those specific points, most of the rest of the changes are more or less mechanical, just changing type names and translating code into the new API.
2018-12-31 13:53:41 +00:00
#include "mpint.h"
int dsa_generate(struct dss_key *key, int bits, PrimeGenerationContext *pgc,
ProgressReceiver *prog)
{
/*
* Progress-reporting setup.
*
* DSA generation involves three potentially long jobs: inventing
* the small prime q, the large prime p, and finding an order-q
* element of the multiplicative group of p.
*
* The latter is done by finding an element whose order is
* _divisible_ by q and raising it to the power of (p-1)/q. Every
* element whose order is not divisible by q is a qth power of q
* distinct elements whose order _is_ divisible by q, so the
* probability of not finding a suitable element on the first try
* is in the region of 1/q, i.e. at most 2^-159.
*
* (So the probability of success will end up indistinguishable
* from 1 in IEEE standard floating point! But what can you do.)
*/
ProgressPhase phase_q = primegen_add_progress_phase(pgc, prog, 160);
ProgressPhase phase_p = primegen_add_progress_phase(pgc, prog, bits);
double g_failure_probability = 1.0
/ (double)(1ULL << 53)
/ (double)(1ULL << 53)
/ (double)(1ULL << 53);
ProgressPhase phase_g = progress_add_probabilistic(
prog, estimate_modexp_cost(bits), 1.0 - g_failure_probability);
progress_ready(prog);
PrimeCandidateSource *pcs;
/*
* Generate q: a prime of length 160.
*/
progress_start_phase(prog, phase_q);
pcs = pcs_new(160);
mp_int *q = primegen_generate(pgc, pcs, prog);
progress_report_phase_complete(prog);
/*
* Now generate p: a prime of length `bits', such that p-1 is
* divisible by q.
*/
progress_start_phase(prog, phase_p);
pcs = pcs_new(bits);
pcs_require_residue_1(pcs, q);
mp_int *p = primegen_generate(pgc, pcs, prog);
progress_report_phase_complete(prog);
/*
* Next we need g. Raise 2 to the power (p-1)/q modulo p, and
* if that comes out to one then try 3, then 4 and so on. As
* soon as we hit a non-unit (and non-zero!) one, that'll do
* for g.
*/
progress_start_phase(prog, phase_g);
Complete rewrite of PuTTY's bignum library. The old 'Bignum' data type is gone completely, and so is sshbn.c. In its place is a new thing called 'mp_int', handled by an entirely new library module mpint.c, with API differences both large and small. The main aim of this change is that the new library should be free of timing- and cache-related side channels. I've written the code so that it _should_ - assuming I haven't made any mistakes - do all of its work without either control flow or memory addressing depending on the data words of the input numbers. (Though, being an _arbitrary_ precision library, it does have to at least depend on the sizes of the numbers - but there's a 'formal' size that can vary separately from the actual magnitude of the represented integer, so if you want to keep it secret that your number is actually small, it should work fine to have a very long mp_int and just happen to store 23 in it.) So I've done all my conditionalisation by means of computing both answers and doing bit-masking to swap the right one into place, and all loops over the words of an mp_int go up to the formal size rather than the actual size. I haven't actually tested the constant-time property in any rigorous way yet (I'm still considering the best way to do it). But this code is surely at the very least a big improvement on the old version, even if I later find a few more things to fix. I've also completely rewritten the low-level elliptic curve arithmetic from sshecc.c; the new ecc.c is closer to being an adjunct of mpint.c than it is to the SSH end of the code. The new elliptic curve code keeps all coordinates in Montgomery-multiplication transformed form to speed up all the multiplications mod the same prime, and only converts them back when you ask for the affine coordinates. Also, I adopted extended coordinates for the Edwards curve implementation. sshecc.c has also had a near-total rewrite in the course of switching it over to the new system. While I was there, I've separated ECDSA and EdDSA more completely - they now have separate vtables, instead of a single vtable in which nearly every function had a big if statement in it - and also made the externally exposed types for an ECDSA key and an ECDH context different. A minor new feature: since the new arithmetic code includes a modular square root function, we can now support the compressed point representation for the NIST curves. We seem to have been getting along fine without that so far, but it seemed a shame not to put it in, since it was suddenly easy. In sshrsa.c, one major change is that I've removed the RSA blinding step in rsa_privkey_op, in which we randomise the ciphertext before doing the decryption. The purpose of that was to avoid timing leaks giving away the plaintext - but the new arithmetic code should take that in its stride in the course of also being careful enough to avoid leaking the _private key_, which RSA blinding had no way to do anything about in any case. Apart from those specific points, most of the rest of the changes are more or less mechanical, just changing type names and translating code into the new API.
2018-12-31 13:53:41 +00:00
mp_int *power = mp_div(p, q); /* this is floor(p/q) == (p-1)/q */
mp_int *h = mp_from_integer(2);
Complete rewrite of PuTTY's bignum library. The old 'Bignum' data type is gone completely, and so is sshbn.c. In its place is a new thing called 'mp_int', handled by an entirely new library module mpint.c, with API differences both large and small. The main aim of this change is that the new library should be free of timing- and cache-related side channels. I've written the code so that it _should_ - assuming I haven't made any mistakes - do all of its work without either control flow or memory addressing depending on the data words of the input numbers. (Though, being an _arbitrary_ precision library, it does have to at least depend on the sizes of the numbers - but there's a 'formal' size that can vary separately from the actual magnitude of the represented integer, so if you want to keep it secret that your number is actually small, it should work fine to have a very long mp_int and just happen to store 23 in it.) So I've done all my conditionalisation by means of computing both answers and doing bit-masking to swap the right one into place, and all loops over the words of an mp_int go up to the formal size rather than the actual size. I haven't actually tested the constant-time property in any rigorous way yet (I'm still considering the best way to do it). But this code is surely at the very least a big improvement on the old version, even if I later find a few more things to fix. I've also completely rewritten the low-level elliptic curve arithmetic from sshecc.c; the new ecc.c is closer to being an adjunct of mpint.c than it is to the SSH end of the code. The new elliptic curve code keeps all coordinates in Montgomery-multiplication transformed form to speed up all the multiplications mod the same prime, and only converts them back when you ask for the affine coordinates. Also, I adopted extended coordinates for the Edwards curve implementation. sshecc.c has also had a near-total rewrite in the course of switching it over to the new system. While I was there, I've separated ECDSA and EdDSA more completely - they now have separate vtables, instead of a single vtable in which nearly every function had a big if statement in it - and also made the externally exposed types for an ECDSA key and an ECDH context different. A minor new feature: since the new arithmetic code includes a modular square root function, we can now support the compressed point representation for the NIST curves. We seem to have been getting along fine without that so far, but it seemed a shame not to put it in, since it was suddenly easy. In sshrsa.c, one major change is that I've removed the RSA blinding step in rsa_privkey_op, in which we randomise the ciphertext before doing the decryption. The purpose of that was to avoid timing leaks giving away the plaintext - but the new arithmetic code should take that in its stride in the course of also being careful enough to avoid leaking the _private key_, which RSA blinding had no way to do anything about in any case. Apart from those specific points, most of the rest of the changes are more or less mechanical, just changing type names and translating code into the new API.
2018-12-31 13:53:41 +00:00
mp_int *g;
while (1) {
progress_report_attempt(prog);
g = mp_modpow(h, power, p);
if (mp_hs_integer(g, 2))
break; /* got one */
Complete rewrite of PuTTY's bignum library. The old 'Bignum' data type is gone completely, and so is sshbn.c. In its place is a new thing called 'mp_int', handled by an entirely new library module mpint.c, with API differences both large and small. The main aim of this change is that the new library should be free of timing- and cache-related side channels. I've written the code so that it _should_ - assuming I haven't made any mistakes - do all of its work without either control flow or memory addressing depending on the data words of the input numbers. (Though, being an _arbitrary_ precision library, it does have to at least depend on the sizes of the numbers - but there's a 'formal' size that can vary separately from the actual magnitude of the represented integer, so if you want to keep it secret that your number is actually small, it should work fine to have a very long mp_int and just happen to store 23 in it.) So I've done all my conditionalisation by means of computing both answers and doing bit-masking to swap the right one into place, and all loops over the words of an mp_int go up to the formal size rather than the actual size. I haven't actually tested the constant-time property in any rigorous way yet (I'm still considering the best way to do it). But this code is surely at the very least a big improvement on the old version, even if I later find a few more things to fix. I've also completely rewritten the low-level elliptic curve arithmetic from sshecc.c; the new ecc.c is closer to being an adjunct of mpint.c than it is to the SSH end of the code. The new elliptic curve code keeps all coordinates in Montgomery-multiplication transformed form to speed up all the multiplications mod the same prime, and only converts them back when you ask for the affine coordinates. Also, I adopted extended coordinates for the Edwards curve implementation. sshecc.c has also had a near-total rewrite in the course of switching it over to the new system. While I was there, I've separated ECDSA and EdDSA more completely - they now have separate vtables, instead of a single vtable in which nearly every function had a big if statement in it - and also made the externally exposed types for an ECDSA key and an ECDH context different. A minor new feature: since the new arithmetic code includes a modular square root function, we can now support the compressed point representation for the NIST curves. We seem to have been getting along fine without that so far, but it seemed a shame not to put it in, since it was suddenly easy. In sshrsa.c, one major change is that I've removed the RSA blinding step in rsa_privkey_op, in which we randomise the ciphertext before doing the decryption. The purpose of that was to avoid timing leaks giving away the plaintext - but the new arithmetic code should take that in its stride in the course of also being careful enough to avoid leaking the _private key_, which RSA blinding had no way to do anything about in any case. Apart from those specific points, most of the rest of the changes are more or less mechanical, just changing type names and translating code into the new API.
2018-12-31 13:53:41 +00:00
mp_free(g);
mp_add_integer_into(h, h, 1);
}
Complete rewrite of PuTTY's bignum library. The old 'Bignum' data type is gone completely, and so is sshbn.c. In its place is a new thing called 'mp_int', handled by an entirely new library module mpint.c, with API differences both large and small. The main aim of this change is that the new library should be free of timing- and cache-related side channels. I've written the code so that it _should_ - assuming I haven't made any mistakes - do all of its work without either control flow or memory addressing depending on the data words of the input numbers. (Though, being an _arbitrary_ precision library, it does have to at least depend on the sizes of the numbers - but there's a 'formal' size that can vary separately from the actual magnitude of the represented integer, so if you want to keep it secret that your number is actually small, it should work fine to have a very long mp_int and just happen to store 23 in it.) So I've done all my conditionalisation by means of computing both answers and doing bit-masking to swap the right one into place, and all loops over the words of an mp_int go up to the formal size rather than the actual size. I haven't actually tested the constant-time property in any rigorous way yet (I'm still considering the best way to do it). But this code is surely at the very least a big improvement on the old version, even if I later find a few more things to fix. I've also completely rewritten the low-level elliptic curve arithmetic from sshecc.c; the new ecc.c is closer to being an adjunct of mpint.c than it is to the SSH end of the code. The new elliptic curve code keeps all coordinates in Montgomery-multiplication transformed form to speed up all the multiplications mod the same prime, and only converts them back when you ask for the affine coordinates. Also, I adopted extended coordinates for the Edwards curve implementation. sshecc.c has also had a near-total rewrite in the course of switching it over to the new system. While I was there, I've separated ECDSA and EdDSA more completely - they now have separate vtables, instead of a single vtable in which nearly every function had a big if statement in it - and also made the externally exposed types for an ECDSA key and an ECDH context different. A minor new feature: since the new arithmetic code includes a modular square root function, we can now support the compressed point representation for the NIST curves. We seem to have been getting along fine without that so far, but it seemed a shame not to put it in, since it was suddenly easy. In sshrsa.c, one major change is that I've removed the RSA blinding step in rsa_privkey_op, in which we randomise the ciphertext before doing the decryption. The purpose of that was to avoid timing leaks giving away the plaintext - but the new arithmetic code should take that in its stride in the course of also being careful enough to avoid leaking the _private key_, which RSA blinding had no way to do anything about in any case. Apart from those specific points, most of the rest of the changes are more or less mechanical, just changing type names and translating code into the new API.
2018-12-31 13:53:41 +00:00
mp_free(h);
mp_free(power);
progress_report_phase_complete(prog);
/*
* Now we're nearly done. All we need now is our private key x,
* which should be a number between 1 and q-1 exclusive, and
* our public key y = g^x mod p.
*/
Complete rewrite of PuTTY's bignum library. The old 'Bignum' data type is gone completely, and so is sshbn.c. In its place is a new thing called 'mp_int', handled by an entirely new library module mpint.c, with API differences both large and small. The main aim of this change is that the new library should be free of timing- and cache-related side channels. I've written the code so that it _should_ - assuming I haven't made any mistakes - do all of its work without either control flow or memory addressing depending on the data words of the input numbers. (Though, being an _arbitrary_ precision library, it does have to at least depend on the sizes of the numbers - but there's a 'formal' size that can vary separately from the actual magnitude of the represented integer, so if you want to keep it secret that your number is actually small, it should work fine to have a very long mp_int and just happen to store 23 in it.) So I've done all my conditionalisation by means of computing both answers and doing bit-masking to swap the right one into place, and all loops over the words of an mp_int go up to the formal size rather than the actual size. I haven't actually tested the constant-time property in any rigorous way yet (I'm still considering the best way to do it). But this code is surely at the very least a big improvement on the old version, even if I later find a few more things to fix. I've also completely rewritten the low-level elliptic curve arithmetic from sshecc.c; the new ecc.c is closer to being an adjunct of mpint.c than it is to the SSH end of the code. The new elliptic curve code keeps all coordinates in Montgomery-multiplication transformed form to speed up all the multiplications mod the same prime, and only converts them back when you ask for the affine coordinates. Also, I adopted extended coordinates for the Edwards curve implementation. sshecc.c has also had a near-total rewrite in the course of switching it over to the new system. While I was there, I've separated ECDSA and EdDSA more completely - they now have separate vtables, instead of a single vtable in which nearly every function had a big if statement in it - and also made the externally exposed types for an ECDSA key and an ECDH context different. A minor new feature: since the new arithmetic code includes a modular square root function, we can now support the compressed point representation for the NIST curves. We seem to have been getting along fine without that so far, but it seemed a shame not to put it in, since it was suddenly easy. In sshrsa.c, one major change is that I've removed the RSA blinding step in rsa_privkey_op, in which we randomise the ciphertext before doing the decryption. The purpose of that was to avoid timing leaks giving away the plaintext - but the new arithmetic code should take that in its stride in the course of also being careful enough to avoid leaking the _private key_, which RSA blinding had no way to do anything about in any case. Apart from those specific points, most of the rest of the changes are more or less mechanical, just changing type names and translating code into the new API.
2018-12-31 13:53:41 +00:00
mp_int *two = mp_from_integer(2);
mp_int *qm1 = mp_copy(q);
mp_sub_integer_into(qm1, qm1, 1);
mp_int *x = mp_random_in_range(two, qm1);
mp_free(two);
mp_free(qm1);
Complete rewrite of PuTTY's bignum library. The old 'Bignum' data type is gone completely, and so is sshbn.c. In its place is a new thing called 'mp_int', handled by an entirely new library module mpint.c, with API differences both large and small. The main aim of this change is that the new library should be free of timing- and cache-related side channels. I've written the code so that it _should_ - assuming I haven't made any mistakes - do all of its work without either control flow or memory addressing depending on the data words of the input numbers. (Though, being an _arbitrary_ precision library, it does have to at least depend on the sizes of the numbers - but there's a 'formal' size that can vary separately from the actual magnitude of the represented integer, so if you want to keep it secret that your number is actually small, it should work fine to have a very long mp_int and just happen to store 23 in it.) So I've done all my conditionalisation by means of computing both answers and doing bit-masking to swap the right one into place, and all loops over the words of an mp_int go up to the formal size rather than the actual size. I haven't actually tested the constant-time property in any rigorous way yet (I'm still considering the best way to do it). But this code is surely at the very least a big improvement on the old version, even if I later find a few more things to fix. I've also completely rewritten the low-level elliptic curve arithmetic from sshecc.c; the new ecc.c is closer to being an adjunct of mpint.c than it is to the SSH end of the code. The new elliptic curve code keeps all coordinates in Montgomery-multiplication transformed form to speed up all the multiplications mod the same prime, and only converts them back when you ask for the affine coordinates. Also, I adopted extended coordinates for the Edwards curve implementation. sshecc.c has also had a near-total rewrite in the course of switching it over to the new system. While I was there, I've separated ECDSA and EdDSA more completely - they now have separate vtables, instead of a single vtable in which nearly every function had a big if statement in it - and also made the externally exposed types for an ECDSA key and an ECDH context different. A minor new feature: since the new arithmetic code includes a modular square root function, we can now support the compressed point representation for the NIST curves. We seem to have been getting along fine without that so far, but it seemed a shame not to put it in, since it was suddenly easy. In sshrsa.c, one major change is that I've removed the RSA blinding step in rsa_privkey_op, in which we randomise the ciphertext before doing the decryption. The purpose of that was to avoid timing leaks giving away the plaintext - but the new arithmetic code should take that in its stride in the course of also being careful enough to avoid leaking the _private key_, which RSA blinding had no way to do anything about in any case. Apart from those specific points, most of the rest of the changes are more or less mechanical, just changing type names and translating code into the new API.
2018-12-31 13:53:41 +00:00
key->sshk.vt = &ssh_dss;
Complete rewrite of PuTTY's bignum library. The old 'Bignum' data type is gone completely, and so is sshbn.c. In its place is a new thing called 'mp_int', handled by an entirely new library module mpint.c, with API differences both large and small. The main aim of this change is that the new library should be free of timing- and cache-related side channels. I've written the code so that it _should_ - assuming I haven't made any mistakes - do all of its work without either control flow or memory addressing depending on the data words of the input numbers. (Though, being an _arbitrary_ precision library, it does have to at least depend on the sizes of the numbers - but there's a 'formal' size that can vary separately from the actual magnitude of the represented integer, so if you want to keep it secret that your number is actually small, it should work fine to have a very long mp_int and just happen to store 23 in it.) So I've done all my conditionalisation by means of computing both answers and doing bit-masking to swap the right one into place, and all loops over the words of an mp_int go up to the formal size rather than the actual size. I haven't actually tested the constant-time property in any rigorous way yet (I'm still considering the best way to do it). But this code is surely at the very least a big improvement on the old version, even if I later find a few more things to fix. I've also completely rewritten the low-level elliptic curve arithmetic from sshecc.c; the new ecc.c is closer to being an adjunct of mpint.c than it is to the SSH end of the code. The new elliptic curve code keeps all coordinates in Montgomery-multiplication transformed form to speed up all the multiplications mod the same prime, and only converts them back when you ask for the affine coordinates. Also, I adopted extended coordinates for the Edwards curve implementation. sshecc.c has also had a near-total rewrite in the course of switching it over to the new system. While I was there, I've separated ECDSA and EdDSA more completely - they now have separate vtables, instead of a single vtable in which nearly every function had a big if statement in it - and also made the externally exposed types for an ECDSA key and an ECDH context different. A minor new feature: since the new arithmetic code includes a modular square root function, we can now support the compressed point representation for the NIST curves. We seem to have been getting along fine without that so far, but it seemed a shame not to put it in, since it was suddenly easy. In sshrsa.c, one major change is that I've removed the RSA blinding step in rsa_privkey_op, in which we randomise the ciphertext before doing the decryption. The purpose of that was to avoid timing leaks giving away the plaintext - but the new arithmetic code should take that in its stride in the course of also being careful enough to avoid leaking the _private key_, which RSA blinding had no way to do anything about in any case. Apart from those specific points, most of the rest of the changes are more or less mechanical, just changing type names and translating code into the new API.
2018-12-31 13:53:41 +00:00
key->p = p;
key->q = q;
key->g = g;
key->x = x;
key->y = mp_modpow(key->g, key->x, key->p);
return 1;
}