Group Secret Key Generation For Wireless Network 

Abstract

Abstract-This paper by exploiting physical layer characteristics of wireless channel investigates group secret key generation problem for different types of wireless network. A new group key generation strategy with low complexity is proposed, which combines point to point pair-wise key generation technique, the multi-segment scheme and the onetime pad. This group key generation technique works for three types of communication networks: the three node network, the multi node ring and multi node mesh network. For these communication networks three group key generation algorithms are developed, the first two algorithms yield optimal group key rates while the third algorithm gives the optimal multiplexing gain. We address the time allocation problem in the channel estimation step to maximize the group key rate. A series of geometric programming, and a single condensation method based iterative algorithm is proposed in order to solve the non-convex max min problem. To validate the performance of the proposed key generation algorithm and the time allocation problem the numerical results are also been provided.