Skew‐Hadamard matrices of orders 436, 580, and 988 exist |
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| Authors: | Dragomir Ž. Đoković |
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| Affiliation: | Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1 |
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| Abstract: | We construct two difference families on each of the cyclic groups of order 109, 145, and 247, and use them to construct skew‐Hadamard matrices of orders 436, 580, and 988. Such difference families and matrices are constructed here for the first time. The matrices are constructed by using the Goethals‐Seidel array. © 2008 Wiley Periodicals, Inc. J Combin Designs 16: 493–498, 2008 |
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| Keywords: | supplementary difference sets Goethals‐Seidel array difference families Skew‐Hadamard matrices |
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