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Six pairwise orthogonal latin squares of order 69

Part of: Designs and configurations

Published online by Cambridge University Press:  09 April 2009

L. Zhu
L. Zhu
Affiliation:
Department of Mathematics Suzhou UniversitySuzhou People's Republic of, China
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Abstract

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In this note it is proved that a BIB(ν, k, l) implies N(ν −4) ≧ min (N(k–2), N(k–1) –1, N(k)–1) and that N(69)≧6.

MSC classification

Secondary: 05B15: Orthogonal arrays, Latin squares, Room squares
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 37 , Issue 1 , August 1984 , pp. 1 - 3
Copyright
Copyright © Australian Mathematical Society 1984

References

[1]Brouwer, A. E., ‘The number of mutually orthogonal latin squares, a table up to order 10,000,’ Afd. Zuivere Wisk. Math. Centrum, Amsterdam, 1979.Google Scholar
[2]Hall, M. Jr, Combinatorial theory (Blaisdell, Waltham, Mass., 1967).Google Scholar
[3]Wallis, W. D. and Zhu, L., [Orthogonal latin squares with small subsquares,] preprint.Google Scholar