A Secure Key Exchange for Symmetric Peer Server against Passive Attack

Password-authenticated key exchange (PAKE) is where a client and a server, who share a password, authenticate each other and meanwhile establish a cryptographic key by exchange of messages. The main aim of this project is to authenticate a client, in the scenario where two Peer servers co-operate for Authentication and if one server is compromised, the attacker still cannot pretend to be the client with the information from the compromised server. Because no Password Information will be stored and keeps providing services instead of any Crash Report. Our Two-Server PAKE protocol is Symmetric, and runs in parallel in authenticating a client by Encrypted key exchange (EKE), providing efficient services to user.