Group symmetries of complementary code matrices

Brooke Logan, Hieu D. Nguyen

Research output: Contribution to journalArticle

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

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Equivalence classes
Hadamard matrices

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Electrical and Electronic Engineering

Cite this

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Group symmetries of complementary code matrices. / Logan, Brooke; Nguyen, Hieu D.

In: IEEE Transactions on Aerospace and Electronic Systems, Vol. 52, No. 5, 7812875, 10.2016, p. 2255-2262.

Research output: Contribution to journalArticle

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