What is the weakness with this approach? Is your point that there's nothing gained from doing the DH - you may as well just generate a secret key randomly, exchange that between the peers in the clear, and still have them combine that with the password secret, and the level of information exposed is the same?
I think there is a difference. Say you have a captured stream of traffic and you want to decrypt it. With the simpler non-DH scheme, you already have the basic key, so all you need to do is guess the password, and run that through sha256 and then you can decrypt the entire stream. Now you have the password, you can decrypt every stream you capture from now on. But with the DH scheme, you have to both guess the password, and the ephemeral private keys which are never exchanged (either that, or break Curve25519). Even once you've done that, you only get access to that one captured stream - sure, you now know the password, but every connection between weave routers will use different random private keys to their DH, so you'll still have to brute force those for every stream you capture (or, again, break Curve25519). So ISTM there is a substantial difference there. That, to me, is the point of using the DH. But maybe I'm missing something... I'm slightly wondering whether people here are considering the use of DH and Public Key crypto by weave in the context of the usual "generate keys once and save them". This is just not the case in weave - weave generates fresh public and private keys for EVERY connection between routers.
There is no requirement for weave that the password is human readable. It can be supplied through a file, so you can happily dd if=/dev/random of=/my/weave/passwd bs=1k count=1 to create a suitable weave password
But what can an adversary learn from doing so? All subsequent messages on the connection are encrypted with the secret key, which has the password mixed in.
Turns out that feature I was thinking about has been removed, so the above is not true.
Though a representation in a particular character set does not prevent the password from being strong.
That is correct. I guess calling this a 'password' is perhaps misleading in our docs, since it could be seen as implying human-readability and cryptographic weakness. As msackman says, the 'password' can in fact be as strong as you like.
Furthermore, it's not clear to me what the use of the diffie-hellman is actually for. Perhaps I'm misreading or the linked document is an oversimplification, but... It appears that the public DH key is transferred without any authentication.
If the public DH key is transferred without any authentication, it's trivially MITMable and serves no purpose whatsoever. It's true that mixing in the password later solves MITM at that point, but... yeah: All of the privacy and integrity you could produce with the system described is what comes from the password.