Provably secure group key agreement protocol based on ECDH with integrated signature

摘要

This paper proposes a new two round authenticated contributory group key agreement (ACGKA) protocol based on elliptic curve Diffie-Hellman (ECDH) with integrated signature. In this technique, one node is picked up as the group controller, and this node runs an authenticated ECDH with the rest of the nodes to generate an authenticated shared key per each two-party. It then merges these keys in another round in such a way that every member obtains the identical authenticated group key. Further, ACGKA is extended to dynamic ACGKA protocol. The dynamic ACGKA, being elliptic curve decisional Diffie Hellman-based, is less expensive and well suited for resource constrained networks such as mobile ad-hoc networks, and wireless sensor network. Also, we demonstrate that all the protocols proposed in this paper are provably secure in the standard model under ECDDH assumption and moreover secure against most of the active and passive attacks. Finally, the proposed protocol is compared with other prevalent ECDH and Diffie Hellman based group key agreement protocols, and results are found to be satisfactory. Copyright (c) 2015 John Wiley & Sons, Ltd