Session-Key Generation Using Human Passwords Only

TL;DR: This work presents session-key generation protocols in a model where the legitimate parties share only a human-memorizable password and states that the security guarantee holds with respect to probabilistic polynomial-time adversaries that control the communication channel, and may omit, insert and modify messages at their choice.

Abstract: We present session-key generation protocols in a model where the legitimate parties share only a human-memorizable password. The security guarantee holds with respect to probabilistic polynomial-time adversaries that control the communication channel (between the parties), and may omit, insert and modify messages at their choice. Loosely speaking, the effect of such an adversary that attacks an execution of our protocol is comparable to an attack in which an adversary is only allowed to make a constant number of queries of the form "is w the password of Party A". We stress that the result holds also in case the passwords are selected at random from a small dictionary so that it is feasible (for the adversary) to scan the entire directory. We note that prior to our result, it was not clear whether or not such protocols were attainable without the use of random oracles or additional setup assumptions.