A Framework for Password-Based Authenticated Key Exchange

Abstract. In this paper we present a general framework for passwordbased authenticated key exchange protocols, in the common reference odel. Our protocol is actually an abstraction of the key exchange protocol of Katz et al. and is based on the recently introduced notion of smooth projective hashing by Cramer and Shoup. We gain a number of s from this abstraction. First, we obtain a modular protocol that can be described using just three high-level cryptographic tools. This allows a simple and intuitive understanding of its security. Second, our proof of security is significantly simpler and more modular. Third, we are able to derive analogues to the Katz et al. protocol under additional cryptographic assumptions. Specifically, in addition to the DDH assumption used by Katz et al., we obtain protocols under both the Quadratic and N-Residuosity assumptions. In order to achieve this, we construct new smooth projective hash functions.

• Type: Conference
• Year: 2003
• Where: EUROCRYPT
• Authors: Rosario Gennaro, Yehuda Lindell
• Keywords: Cryptography, EUROCRYPT 2003, Katz Et Al, Key Exchange Protocol, Smooth Projective