Interference channels with strong secrecy

Xiang He, Aylin Yener

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

    6 Scopus citations

    Abstract

    It is known that given the real sum of two independent uniformly distributed lattice points from the same nested lattice codebook, the eavesdropper can obtain at most 1 bit of information per channel regarding the value of one of the lattice points. In this work, we study the effect of this 1 bit information on the equivocation expressed in three commonly used information theoretic measures, i.e., the Shannon entropy, the Rényi entropy and the min entropy. We then demonstrate its applications in an interference channel with a confidential message. In our previous work, we showed that nested lattice codes can outperform Gaussian codes for this channel when the achieved rate is measured with the weak secrecy notion. Here, with the Rényi entropy and the min entropy measure, we prove that the same secure degree of freedom is achievable with the strong secrecy notion as well. A major benefit of the new coding scheme is that the strong secrecy is generated from a single lattice point instead of a sequence of lattice points. Hence the mutual information between the confidential message and the observation of the eavesdropper decreases much faster with the number of channel uses than previously known strong secrecy coding methods for nested lattice codes.

    Original languageEnglish (US)
    Title of host publication2009 47th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2009
    Pages811-818
    Number of pages8
    DOIs
    StatePublished - Dec 1 2009
    Event2009 47th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2009 - Monticello, IL, United States
    Duration: Sep 30 2009Oct 2 2009

    Publication series

    Name2009 47th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2009

    Other

    Other2009 47th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2009
    CountryUnited States
    CityMonticello, IL
    Period9/30/0910/2/09

    All Science Journal Classification (ASJC) codes

    • Computer Science(all)
    • Control and Systems Engineering
    • Communication

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  • Cite this

    He, X., & Yener, A. (2009). Interference channels with strong secrecy. In 2009 47th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2009 (pp. 811-818). [5394942] (2009 47th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2009). https://doi.org/10.1109/ALLERTON.2009.5394942