A Novel Group Key Management Based on Jacobian Elliptic Chebyshev Rational Map

This paper proposes a novel scheme of group key management based on Jacobian Elliptic Chebyshev Rational Map, named Jacobian Group Key Management(JGKM). The scheme is more efficient than other group key managements since fewer re-keying messages are sent when group membership changes. Besides, it provides both forward and backward secrecy. Therefore, this proposal is helpful to deploy secure multicast over some networks with high latency or limited bandwidth such as wireless network. Furthermore, it fits both small-scale and large-scale groups.