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 skewHadamard 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.