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On good matrices and skew Hadamard matrices

Conference Paper


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.

Publication Date


  • 2015

Citation


  • 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.

Scopus Eid


  • 2-s2.0-84945904567

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/5214

Start Page


  • 13

End Page


  • 28

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.

Publication Date


  • 2015

Citation


  • 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.

Scopus Eid


  • 2-s2.0-84945904567

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/5214

Start Page


  • 13

End Page


  • 28