Existence of weakly pandiagonal orthogonal Latin squares |
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| Authors: | Yong Zhang Wen Li Jian Guo Lei |
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| Institution: | 12274. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, 050024, P. R. China
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| Abstract: | A weakly pandiagonal Latin square of order n over the number set {0, 1, ..., n ? 1} is a Latin square having the property that the sum of the n numbers in each of 2n diagonals is the same. In this paper, we shall prove that a pair of orthogonal weakly pandiagonal Latin squares of order n exists if and only if n ≡ 0, 1,3 (mod 4) and n ≠ 3. |
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| Keywords: | Latin square weakly pandiagonal Knut Vik design |
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