This is already slightly nice because it lets me separate the
Weierstrass and Montgomery code more completely, without having to
have a vtable tucked into dh->extra. But more to the point, it will
allow completely different kex methods to fit into the same framework
later.
To that end, I've moved more of the descriptive message generation
into the vtable, and also provided the constructor with a flag that
will let it do different things in client and server.
Also, following on from a previous commit, I've arranged that the new
API returns arbitrary binary data for the exchange hash, rather than
an mp_int. An upcoming implementation of this interface will want to
return an encoded string instead of an encoded mp_int.
Until now, every kex method has represented the output as an mp_int.
So we were storing it in the mp_int field s->K, and adding it to the
exchange hash and key derivation hashes via put_mp_ssh2.
But there's now going to be the first kex method that represents the
output as a string (so that it might have the top bit set, or multiple
leading zero bytes, without its length varying). So we now need to be
more general.
The most general thing it's sensible to do is to replace s->K with a
strbuf containing _already-encoded_ data to become part of the hash,
including length fields if necessary. So every existing kex method
still derives an mp_int, but then immediately puts it into that strbuf
using put_mp_ssh2 and frees it.
I recently encountered a paper [1] which catalogues all kinds of
things that can go wrong when one party in a discrete-log system
invents a prime and the other party chooses an exponent. In
particular, some choices of prime make it reasonable to use a short
exponent to save time, but others make that strategy very bad.
That paper is about the ElGamal encryption scheme used in OpenPGP,
which is basically integer Diffie-Hellman with one side's key being
persistent: a shared-secret integer is derived exactly as in DH, and
then it's used to communicate a message integer by simply multiplying
the shared secret by the message, mod p.
I don't _know_ that any problem of this kind arises in the SSH usage
of Diffie-Hellman: the standard integer DH groups in SSH are safe
primes, and as far as I know, the usual generation of prime moduli for
DH group exchange also picks safe primes. So the short exponents PuTTY
has been using _should_ be OK.
However, the range of imaginative other possibilities shown in that
paper make me nervous, even so! So I think I'm going to retire the
short exponent strategy, on general principles of overcaution.
This slows down 4096-bit integer DH by about a factor of 3-4 (which
would be worse if it weren't for the modpow speedup in the previous
commit). I think that's OK, because, firstly, computers are a lot
faster these days than when I originally chose to use short exponents,
and secondly, more and more implementations are now switching to
elliptic-curve DH, which is unaffected by this change (and with which
we've always been using maximum-length exponents).
[1] On the (in)security of ElGamal in OpenPGP. Luca De Feo, Bertram
Poettering, Alessandro Sorniotti. https://eprint.iacr.org/2021/923
This clears up another large pile of clutter at the top level, and in
the process, allows me to rename source files to things that don't all
have that annoying 'ssh' prefix at the top.
