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The fine structures of three symmetric Latin squares with even orders

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Abstract

Denote by SFin(v) the set of all integer pairs (t, s) for which there exist three symmetric Latin squares of order v on the same set having fine structure (t, s). We completely determine the set SFin(2n) for any integer n ≥ 5.

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Correspondence to Er Qiang Feng.

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Supported by National Natural Science Foundation of China (Grant No. 10771013)

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Feng, E.Q., Chang, Y.X. The fine structures of three symmetric Latin squares with even orders. Acta. Math. Sin.-English Ser. 27, 1137–1148 (2011). https://doi.org/10.1007/s10114-011-8538-8

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  • DOI: https://doi.org/10.1007/s10114-011-8538-8

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