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

Yong Zhang,Kejun Chen,Nanyuan Cao,Hantao Zhang

doi:10.1016/j.disc.2014.04.002

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

Yong Zhang, Kejun Chen + Show 2 more

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https://doi.org/10.1016/j.disc.2014.04.002

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Journal: Discrete Mathematics	Publication Date: Apr 18, 2014
Citations: 9	License type: publisher-specific-oa

Affiliation: Yancheng Teachers University, Taizhou University, University of Iowa

#Diagonal Latin Square #Magic Square + Show 5 more

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Abstract

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(mod4) and n≠4. As an application, it is shown that there exists a Yang Hui type magic square YMS(n,4) if and only if n≡0(mod4) and n≠4.

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