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The existence of orthogonal diagonal Latin squares with subsquares

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Publication:1910538
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DOI10.1016/0012-365X(94)00260-PzbMath0845.05019MaRDI QIDQ1910538

Yanyan Li

Publication date: 24 March 1996

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


zbMATH Keywords

transversalsmagic squarediagonal Latin squaresubsquaresorthogonal diagonal Latin squares


Mathematics Subject Classification ID

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


Related Items (1)

Some constructions for \(t\) pairwise orthogonal diagonal Latin squares based on difference matrices



Cites Work

  • Incomplete self-orthogonal latin squares \(ISOLS(6m+6,2m)\) exist for all m
  • More mutually orthogonal latin squares
  • Mols with holes
  • Orthogonal diagonal Latin squares with small subsquares
  • On the spectrum of resolvable orthogonal arrays invariant under the Klein group \(K_ 4\)
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