Password-Authenticated Key Exchange Scheme Using Chaotic Maps towards a New Architecture in Standard Model

Nowadays, 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 networks 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 password authenticated key agreement protocol using chaotic maps towards multiple servers to server architecture in the standard model. The multiple servers to server architecture will solve the problems single-point of security, single-point of efficiency and single-point of failure in the centralized registration center towards multi-server architecture. 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. IDL International Digital Library ISSN: IDL Volume 1, Issue 1, FEB-2017 Available at: www.dbpuplications.org IDL International Digital Library 2 | P a g e Copyright@IDL-2017 Motivation behind choosing the project Chaos theory used to cryptography. Chaotic system is extremely sensitive to initial parameters, unpredictability, blondeness, etc. chaotic sequence generated by chaotic system has the properties of non-periodicity and pseudo-randomness. Chaos theory and chaotic system have exploited a new way for cryptography. Cryptographic primitive, key agreement protocol allows two or more parties to agree on shared keys which will be used to protect their later communication. Then, combining chaos theory and key agreement primitive, many authenticated key exchange (AKE) protocols. One-way authenticated key agreement scheme (OWAKE) based on chaotic maps with multi-server architecture. The OWAKE scheme is widely used to no need for mutual authentication environment on Internet, such as readers-to-journalists model and patient-to-expert model. The chaotic maps, multiple servers to server architecture (MSTSA) to solve the problems caused by centralized architecture, such as multi-server architecture with the registration center (RC). Multi-server authenticated key agreement (MSAKA) architecture is more popular among the AKE protocols.