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Skew-Hadamard matrices of order 2(q + 1)

✍ Scribed by Edward Spence

Publisher: Elsevier Science
Year: 1977
Tongue: English
Weight: 705 KB
Volume: 18
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(77)90009-7

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✦ Synopsis

Szekeres has established the ex:stence of a skew-Hadamard malrix of order 2(9 + 1) in the case 9 = 5 (mods), a prime power. His method utilized complemlcntary difference sets in the elementary abelian group of order 9. The main result of this paper is to show that, for the same 9, there exist skew-Hadamard matrices of order 2(9 + I) that are of rhe Goethars-Seidel type. This is achieved by using a cyclic relative difference set with parameters (9 + 1,4,9,:(9 -1)).

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