Skew-Hadamard matrices of orders 188 and 388 exist

Details Skew-Hadamard matrices of orders 188 and 388 exist Skew-Hadamard matrices of orders 188 and 388 exist

2007-04-04

arxiv.org/abs/0704.0640v2

International Mathematical Forum 3 (2008), no. 22, 1063-1068

Mathematics

Combinatorics

7 pages, no figures, a paragraph added to the introduction, two misprints corrected. To appear in the International Mathematic

Scientific paper

We construct several difference families on cyclic groups of orders 47 and
97, and use them to construct skew-Hadamard matrices of orders 188 and 388.
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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