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There are no Circulant Symmetric Williamson Matrices of Order 39

Christos Koukouvinos1, Stratis Kounias2
1Department of Mathematics University of Thessaloniki Greece, 54006
2Department of Mathematics University of Athens Greece, 15784

Abstract

It is shown, through an exhaustive search, that there are no circulant symmetric Williamson matrices of order 39. The construction of symmetric but not circulant Williamson-type matrices of order 39, first given by Miyamoto, Seberry and Yamada, is given explicitly.