Group symmetries of complementary code matrices

Brooke Logan, Hieu D. Nguyen

    Research output: Contribution to journalArticlepeer-review

    Abstract

    Complementary code matrices (CCMs) generalize Golay pairs and Hadamard matrices. In this paper, we describe new group relations satisfied by CCM-preserving symmetries and use its symmetry group to classify CCMs in terms of their equivalence classes. We also give an upper bound on the order of this group, determine the number of equivalence classes of N × 4 quad-phase CCMs where N = 2, 3, 4, 5, 6, and present a new construction to generate quad-phase CCMs from ternary CCM dual pairs.

    Original languageEnglish (US)
    Article number7812875
    Pages (from-to)2255-2262
    Number of pages8
    JournalIEEE Transactions on Aerospace and Electronic Systems
    Volume52
    Issue number5
    DOIs
    StatePublished - Oct 2016

    All Science Journal Classification (ASJC) codes

    • Aerospace Engineering
    • Electrical and Electronic Engineering

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