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Incomplete self-orthogonal latin squares

Part of: Designs and configurations

Published online by Cambridge University Press:  09 April 2009

Katherine Heinrich  and
L. Zhu
Katherine Heinrich
Affiliation:
Department of MathematicsSimon Fraser UniversityBurnaby, B. C., V5A 1SB, Canada
L. Zhu
Affiliation:
Department of MathematicsSuzhou UniversitySuzhou People's Republic of, China
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Abstract

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We show that for all n ≥ 3k + 1, n ≠ 6, there exists an incomplete self-orthogonal latin square of order n with an empty order k subarray, called an ISOLS(n;k), except perhaps when (n;k) ∈ {(6m + i;2m):i = 2, 6}.

MSC classification

Secondary: 05B15: Orthogonal arrays, Latin squares, Room squares
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 42 , Issue 3 , June 1987 , pp. 365 - 384
Copyright
Copyright © Australian Mathematical Society 1987

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