Abstract
In this paper, we investigate the existence of two self-orthogonal Latin squares with a symmetric orthogonal mate (2-SOLSSOMs). It is found that a 2-SOLSSOM(υ) exists for all υ ≥ 701 with at most 183 possible exceptions below this value. Also given are six MOLS of orders 45, 55, five of which give 2-SOLSSOM(45) and 2-SOLSSOM(55).
Researcher supported by NSERC Grant OGP 0005320
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© 2003 Kluwer Academic Publishers
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Julian, R., Abel, R., Bennett, F.E. (2003). The Existence of 2-SOLSSOMs. In: Wallis, W.D. (eds) Designs 2002. Mathematics and Its Applications, vol 563. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0245-2_1
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DOI: https://doi.org/10.1007/978-1-4613-0245-2_1
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