Secrecy capacity of the wiretap channel with noisy feedback

Lifeng Lai, Hesham El Gamal, H. Vincent Poor

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

In this work, the role of noisy feedback In enhancing the secrecy capacity of the wiretap channel Is Investigated A model Is considered In which the feed-forward and feedback signals share the same noisy channel. More specifically, a discrete memoryless modulo - Additive channel with a full-duplex destina-tion node is considered first, and it is shown that a judicious use of feedback increases the perfect secrecy capacity to the capacity of the source-destination channel in the absence of the wiretappeR. In the achievability scheme, the feedback signal corresponds to a private key, known only to the destination. Then a half-duplex system is considered, for which a novel feedback technique that always achieves a positive perfect secrecy rate (even when the source-wiretapper channel is less noisy than the source-destination channel) Is proposed. These results hinge on the modulo - Additive property of the channel, which is exploited by the destination to perform encryption over the channel without revealing its key to the source.

Original languageEnglish (US)
Title of host publication45th Annual Allerton Conference on Communication, Control, and Computing 2007
PublisherUniversity of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering
Pages864-868
Number of pages5
ISBN (Electronic)9781605600864
StatePublished - Jan 1 2007
Event45th Annual Allerton Conference on Communication, Control, and Computing 2007 - Monticello, United States
Duration: Sep 26 2007Sep 28 2007

Publication series

Name45th Annual Allerton Conference on Communication, Control, and Computing 2007
Volume2

Other

Other45th Annual Allerton Conference on Communication, Control, and Computing 2007
CountryUnited States
CityMonticello
Period9/26/079/28/07

All Science Journal Classification (ASJC) codes

  • Computer Science Applications
  • Computer Networks and Communications

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  • Cite this

    Lai, L., El Gamal, H., & Poor, H. V. (2007). Secrecy capacity of the wiretap channel with noisy feedback. In 45th Annual Allerton Conference on Communication, Control, and Computing 2007 (pp. 864-868). (45th Annual Allerton Conference on Communication, Control, and Computing 2007; Vol. 2). University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering.