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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 Springer Proceedings in Mathematics and Statistics Vol. 133 (pp. 13-28). doi:10.1007/978-3-319-17729-8_2

Scopus Eid


  • 2-s2.0-84945904567

Web Of Science Accession Number


Start Page


  • 13

End Page


  • 28

Volume


  • 133

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 Springer Proceedings in Mathematics and Statistics Vol. 133 (pp. 13-28). doi:10.1007/978-3-319-17729-8_2

Scopus Eid


  • 2-s2.0-84945904567

Web Of Science Accession Number


Start Page


  • 13

End Page


  • 28

Volume


  • 133