Two-round contributory group key exchange protocol for wireless network environments

With the popularity of group-oriented applications, secure group communication has recently received much attention from cryptographic researchers. A group key exchange (GKE) protocol allows that participants cooperatively establish a group key that is used to encrypt and decrypt transmitted messages. Hence, GKE protocols can be used to provide secure group communication over a public network channel. However, most of the previously proposed GKE protocols deployed in wired networks are not fully suitable for wireless network environments with low-power computing devices. Subsequently, several GKE protocols suitable for mobile or wireless networks have been proposed. In this article, we will propose a more efficient group key exchange protocol with dynamic joining and leaving. Under the decision Diffie-Hellman (DDH), the computation Diffie-Hellman (CDH), and the hash function assumptions, we demonstrate that the proposed protocol is secure against passive attack and provides forward/backward secrecy for dynamic member joining/leaving. As compared with the recently proposed GKE protocols, our protocol provides better performance in terms of computational cost, round number, and communication cost.