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Constructing self-conjugate self-orthogonal diagonal latin squares

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Abstract

In this paper, we give some constructions of self-conjugate self-orthogonal diagonal Latin squares (SCSODLS). As an application of such constructions we disproof the conjecture about SCSODLS and show that there exist SCSODLS of orderV, whenevervэ1 (mod 12), with the possible exception ofvε{13, 85, 133}.

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Authors and Affiliations

  1. Department of Mathematics, Suzhou University, 215006, Suzhou, China

    Du Beiliang

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  1. Du Beiliang
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Beiliang, D. Constructing self-conjugate self-orthogonal diagonal latin squares. Acta Mathematicae Applicatae Sinica 14, 324–327 (1998). https://doi.org/10.1007/BF02677413

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  • DOI: https://doi.org/10.1007/BF02677413

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