Maximal sets of mutually orthogonal Latin squares

DOI10.1016/S0012-365X(98)00119-8zbMath0930.05021OpenAlexW2131628483MaRDI QIDQ1297474

David A. Drake, G. H. J. van Rees, Walter D. Wallis

Publication date: 9 February 2000

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0012-365x(98)00119-8

zbMATH Keywords

mutually orthogonal Latin squares

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (3)

The existence of Latin squares without orthogonal mates ⋮ Monogamous latin squares ⋮ The number of different reduced complete sets of MOLS corresponding to \(\mathrm{PG} (2,q)\)

Cites Work

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• More mutually orthogonal latin squares
• Maximal sets of Latin squares and partial transversals
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• Factorizations of 𝑏ⁿ±1, 𝑏=2, 3, 5, 6, 7, 10, 11, 12 Up to High Powers
• Nonextendibility Conditions on Mutually Orthogonal Latin Squares
• Some Results on the Existence of Squares
• All v(3, t)'s exist for 3t + 1 a prime
• On orthogonal Latin squares

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