Group Secret Key Generation in Wireless Networks: Algorithms and Rate Optimization

Peng Xu, Kanapathippillai Cumanan, Zhiguo Ding, Xuchu Dai, Kin K. Leung

Research output: Contribution to journalArticlepeer-review

65 Scopus citations

Abstract

This paper investigates group secret key generation problems for different types of wireless networks, by exploiting physical layer characteristics of wireless channels. A new group key generation strategy with low complexity is proposed, which combines the well-established point-to-point pairwise key generation technique, the multisegment scheme, and the one-time pad. In particular, this group key generation process is studied for three types of communication networks: 1) the three-node network; 2) the multinode ring network; and 3) the multinode mesh network. Three group key generation algorithms are developed for these communication networks, respectively. The analysis shows that the first two algorithms yield optimal group key rates, whereas the third algorithm achieves the optimal multiplexing gain. Next, for the first two types of networks, we address the time allocation problem in the channel estimation step to maximize the group key rates. This non-convex max-min time allocation problem is first reformulated into a series of geometric programming, and then, a single-condensation-method-based iterative algorithm is proposed. Numerical results are also provided to validate the performance of the proposed key generation algorithms and the time allocation algorithm.

Original languageBritish English
Article number7452357
Pages (from-to)1831-1846
Number of pages16
JournalIEEE Transactions on Information Forensics and Security
Volume11
Issue number8
DOIs
StatePublished - Aug 2016

Keywords

  • geometric programming
  • group key generation
  • Information-theoretic security
  • multiplexing gain
  • time allocation

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