Pretty-simple password-authenticated key-exchange protocol proven to be secure in the standard model
In this paper, we propose a pretty-simple password-authenticated key-exchange protocol, which is proven to be secure in the standard model under the following three assumptions. (1) DDH (Decision Diffie-Hellman) problem is hard. (2) The entropy of the password is large enough to avoid on-line exhaustive search (but not necessarily off-line exhaustive search). (3) MAC is selectively unforgeable against partially chosen message attacks, (which is weaker than being existentially unforgeable against chosen message attacks).
standard model entropy of passwords key exchange authentication ddh problem