A Provably Password Authenticated Key Exchange Scheme Based on Chaotic Maps in Different Realm

Abstract

Until now, the overwhelming majority of password- authenticated key agreement protocols using chaotic maps are based on three architectures (client/server, two clients/server and multi-server) and four security models (heuristic security, random oracle, ideal cipher and standard model). However, with rapid changes in the modern communication environment such as wireless mesh net- works and cloud storing, it is necessary to put forward a kind more flexible and general architecture to adapt it. So, in our paper, we firstly propose a provable secure two-party in two-realm key agreement protocol using chaotic maps in the standard model. Our proposed protocol is more general and it is easy to expand to many other forms, such as three-party or N-party in different realms. The new protocol resists dictionary attacks mounted by either passive or active network intruders, allowing, in principle, even weak password phrases to be used safely. It also offers perfect forward secrecy, which protects past sessions and passwords against future compromises. Finally, we give the security proof in the standard model and the efficiency analysis of our proposed scheme.