An Improved AKC Protocol with Multiple Secret Keys and Its Expansion on Elliptic Curve Cryptosystems

Abstract

An authenticated key agreement with key confirmation protocol (so-called AKC protocol) allows two or more entities through open networks to establish a shared secret key for their subsequent cryptographic algorithms, at the same time, provides key authentication & key confirmation. In this paper, we propose an improved unilateral AKC protocol generating multiple secret keys in only a single session process between two entities, mainly focusing on reducing the number of passes and computational cost and communication overhead for Mobile-Commerce. Besides, we discuss the security proof of the proposed protocol in the random oracle model briefly, before analyzing several security features and resistance against previously known attacks on key agreement protocols precisely. Finally, we show that it is possible to expand the protocol into elliptic cure cryptosystems suitable for mobile devices, which have a limited computational power.