On good matrices and skew Hadamard matrices

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Springer Proceedings in Mathematics and Statistics, ISSN: 2194-1017, Vol: 133, Page: 13-28

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Awyzio, Gene; Seberry, Jennifer
Springer Nature
Mathematics; Engineering; Science and Technology Studies
book chapter description
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.