On good matrices and skew Hadamard matrices

Authors

Gene Awyzio, University of WollongongFollow
Jennifer Seberry, University of WollongongFollow

RIS ID

103922

Publication Details

Awyzio, G. & Seberry, J. (2015). On good matrices and skew Hadamard matrices. In C. J. Colbourn (Eds.), Proceedings: Algebraic Design Theory and Hadamard Matrices (pp. 13-28). Switzerland: Springer.

Abstract

In her Ph.D. thesis (Seberry) Wallis described a method using a variation of the Williamson array to find suitable matrices, which we will call good matrices, to construct skew Hadamard matrices. Good matrices were designed to plug into the Seberry-Williamson array to give skew-Hadamard matrices. We investigate the properties of good matrices in an effort to find a new, efficient, method to compute these matrices. We give the parameters of the supplementary difference sets (SDS) which give good matrices for use in the Seberry-Williamson array.