Wiretap channel with causal state information and secure rate-limited feedback

Alejandro Cohen, Asaf Cohen

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    1 Scopus citations

    Abstract

    In this paper, we consider the secrecy capacity of a wiretap channel in the presence of causal state information and secure rate-limited feedback. In this scenario, the causal state information from the channel is available to both the legitimate transmitter and legitimate receiver. In addition, the legitimate receiver can send secure feedback to the transmitter at a limited rate R f. We shown that the secrecy capacity is bounded by equation. Moreover, when the channel to the legitimate receiver is less noisy than the channel to the eavesdropper, the bound is shown to be tight. The capacity achieving scheme is based on both the Wyner wiretap coding and two steps of shared-key generation: one from the state information and one via the noiseless feedback. Finally, we consider several special cases. When state information is available only at the legitimate receiver, the analysis suggests that unlike previous results involving feedback, it is better to use the feedback to send the state information to the transmitter (when possible), rather than send a random key.

    Original languageEnglish
    Title of host publication2013 51st Annual Allerton Conference on Communication, Control, and Computing, Allerton 2013
    PublisherInstitute of Electrical and Electronics Engineers
    Pages240-247
    Number of pages8
    ISBN (Print)9781479934096
    DOIs
    StatePublished - 1 Jan 2013
    Event51st Annual Allerton Conference on Communication, Control, and Computing, Allerton 2013 - Monticello, IL, United States
    Duration: 2 Oct 20134 Oct 2013

    Publication series

    Name2013 51st Annual Allerton Conference on Communication, Control, and Computing, Allerton 2013

    Conference

    Conference51st Annual Allerton Conference on Communication, Control, and Computing, Allerton 2013
    Country/TerritoryUnited States
    CityMonticello, IL
    Period2/10/134/10/13

    ASJC Scopus subject areas

    • Computer Networks and Communications
    • Control and Systems Engineering

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