Concerning seven and eight mutually orthogonal Latin squares

DOI10.1002/jcd.10070zbMath1033.05018OpenAlexW2041054306MaRDI QIDQ4458737

Charles J. Colbourn, Mieczysław Wojtas, R. Julian R. Abel

Publication date: 15 March 2004

Published in: Journal of Combinatorial Designs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jcd.10070

zbMATH Keywords

orthogonal Latin squares

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15)

Related Items (11)

A note on difference matrices over non-cyclic finite abelian groups ⋮ Equivalence classes of Latin squares and nets in \(\mathbb{CP}^{2}\) ⋮ Some constructions for \(t\) pairwise orthogonal diagonal Latin squares based on difference matrices ⋮ Ovals and hyperovals in nets ⋮ Existence of 4-fold perfect \((v, \{5, 8\}, 1)\)-Mendelsohn designs ⋮ Two types of switchable \(\lambda \)-fold \((K_4 - e)\)-designs ⋮ Existence of \(r\)-fold perfect \((v,K,1)\)-Mendelsohn designs with \(K\subseteq \{4,5,6,7\}\) ⋮ Unnamed Item ⋮ Existence of Five MOLS of Orders 18 and 60 ⋮ Mutually unbiased maximally entangled bases from difference matrices ⋮ Difference matrices with five rows over finite abelian groups

Cites Work

• Ovals and hyperovals in nets
• A series of separable designs with application to pairwise orthogonal Latin squares
• Further Results on the Construction of Mutually Orthogonal Latin Squares and the Falsity of Euler's Conjecture

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