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

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

2007-06-13

arxiv.org/abs/0706.1973v1

J, Combin. Designs 16 (2008), 493-498

Mathematics

Combinatorics

12 pages, no figures

Scientific paper

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.

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