Eine Bemerkung zur Abschätzung der Anzahl orthogonaler lateinischer Quadrate mittels Siebverfahren

DOI10.1007/BF02941326zbMath0507.05010MaRDI QIDQ1837185

Thomas Beth

Publication date: 1983

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

sieve theorynew asymptotic lower boundpairwise orthogonal latin squares

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Sieves (11N35)

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Halving Steiner 2-designs ⋮ Optical grooming with grooming ratio nine ⋮ Percentages in pairwise balanced designs ⋮ Extending permutation arrays: improving MOLS bounds ⋮ A lower bound on permutation codes of distance \(n-1\) ⋮ A lower bound on HMOLS with equal sized holes ⋮ Constructing permutation arrays using partition and extension ⋮ Constructions and uses of incomplete pairwise balanced designs ⋮ A Three‐Factor Product Construction for Mutually Orthogonal Latin Squares ⋮ Mutually orthogonal Latin squares with large holes ⋮ On the existence of small quasimultiples of affine and projective planes of arbitrary order

Cites Work

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• Concerning the number of mutually orthogonal latin squares
• A note on orthogonal Latin squares
• Further Results on the Construction of Mutually Orthogonal Latin Squares and the Falsity of Euler's Conjecture
• On the Maximal Number of Pairwise Orthogonal Latin Squares of a Given Order
• On the estimation of Schnirelman's constant.

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