Row-correlation function: A new approach to complementary code matrices

Gregory E. Coxson, Brooke Logan, Hieu D. Nguyen

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

    2 Scopus citations

    Abstract

    New tools are developed for testing Complementary Code Matrix (CCM) existence, first for binary CCMs and then for more general p-phase classes, by formulating a CCM in terms of its row-correlation function. It is shown that a result of Lam and Leung on vanishing sums of roots of unity is useful in this approach for developing p-phase CCM existence tests in terms of the prime factorization of p. In addition, other existence tests and properties are found by using the row-correlation function to derive new dot product and congruence relations between rows of a CCM.

    Original languageEnglish (US)
    Title of host publication2014 52nd Annual Allerton Conference on Communication, Control, and Computing, Allerton 2014
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages1357-1361
    Number of pages5
    ISBN (Electronic)9781479980093
    DOIs
    StatePublished - Jan 30 2014
    Event2014 52nd Annual Allerton Conference on Communication, Control, and Computing, Allerton 2014 - Monticello, United States
    Duration: Sep 30 2014Oct 3 2014

    Publication series

    Name2014 52nd Annual Allerton Conference on Communication, Control, and Computing, Allerton 2014

    Other

    Other2014 52nd Annual Allerton Conference on Communication, Control, and Computing, Allerton 2014
    Country/TerritoryUnited States
    CityMonticello
    Period9/30/1410/3/14

    All Science Journal Classification (ASJC) codes

    • Computer Networks and Communications
    • Computer Science Applications

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