Password Authenticated Key Exchange (PAKE) is generating a good deal of interest, and a secret held only by Bob and Alice could be used to generate secret connections between them. One of the most convenient of these is a password, but it could as easily be a random nonce.
Encrypted Key Exchange (EKE) was created by Steven M. Bellovin and Michael Merritt [1] and uses a shared password to encrypt the Diffie-Hellman key exchange. In…