Presentation
Row-correlation function: A new approach to complementary code matrices
52nd Annual Allerton Conference on Communication, Control, and Computing
(2014)
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.
Keywords
- Hadamard matrix,
- Complementary code matrix,
- row-correlation function,
- binary code,
- unimodular code,
- autocorrelation side-lobes
Disciplines
Publication Date
October, 2014
DOI
10.1109/ALLERTON.2014.7028613
Citation Information
Gregory E. Coxson, Brooke Logan and Hieu D. Nguyen. "Row-correlation function: A new approach to complementary code matrices" 52nd Annual Allerton Conference on Communication, Control, and Computing (2014) Available at: http://works.bepress.com/hieu-nguyen/2/