Orthogonal latin squares with orthogonal subsquares

DOI10.1007/BF01225000zbMath0429.05020OpenAlexW2074440137MaRDI QIDQ1137586

David A. Drake, Hanfried Lenz

Publication date: 1980

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01225000

zbMATH Keywords

orthogonal subsquaresorthogonal latin squares

Mathematics Subject Classification ID

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

Related Items (7)

Incomplete self-orthogonal latin squares \(ISOLS(6m+6,2m)\) exist for all m ⋮ On the existence of a PBD(30,{4,5,7,8*}) ⋮ Orthogonal Latin squares with subsquares ⋮ Pairwise balanced designs whose line sizes do not divide six ⋮ Constructing and embedding mutually orthogonal Latin squares: reviewing both new and existing results ⋮ A quest for certain linear spaces on thirty points ⋮ Existence of orthogonal Latin squares with aligned subsquares

Cites Work

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• On the spectra of certain types of latin square
• Balanced incomplete block designs and related designs
• A generalization of sum composition: Self orthogonal latin square design with sub self orthogonal latin square designs
• On resolvable designs

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