Inequivalence of Nega-cyclic ±1 Matrices

Authors

R. Ang, University of WollongongFollow
Jennifer Seberry, University of WollongongFollow
Tadeusz A. Wysocki, University of WollongongFollow

RIS ID

23046

Publication Details

This article was originally published as Ang, R, Seberry, J and Wysocki, TA, Inequivalence of Nega-cyclic ±1 Matrices, Journal of Combinatorial Mathematics and Combinatorial Computing 56, 2006, 17-32.

Abstract

We study nega-cyclic ±1 matrices. We obtain preliminary results which are then used to decrease the search space. We find that there are 2, 4, 9, 23, 63, and 187 ip-equivalence classes for lengths 3, 5, 7, 9, 11, and 13 respectively. The matrices we find are used in a variant given here of the Goethals-Seidel array to form Hadamard matrices, the aim being to later check them for suitability for CDMA schemes.