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Skew-Hadamard matrices of orders 436, 580, and 988 exist

✍ Scribed by Dragomir Ž. Đoković


Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
98 KB
Volume
16
Category
Article
ISSN
1063-8539

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✦ Synopsis


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