Strongly symmetric self-orthogonal diagonal Latin squares and Yang Hui type magic squares

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Strongly symmetric self-orthogonal diagonal Latin squares and Yang Hui type magic squares

Keywords: Self-orthogonal Latin square Strongly symmetric Magic square Yang Hui type a b s t r a c t In this paper, a strongly symmetric self-orthogonal diagonal Latin square of order n with a special property (* SSSODLS(n)) is introduced. It is proved that a * SSSODLS(n) exists if and only if n ≡ 0 (mod 4) and n ̸ = 4. As an application, it is shown that there exists a Yang Hui type magic squar...

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 2014

ISSN: 0012-365X

DOI: 10.1016/j.disc.2014.04.002