Pairwise balanced designs whose line sizes do not divide six

DOI10.1016/0097-3165(83)90063-8zbMath0518.05011OpenAlexW2072158278WikidataQ105824469 ScholiaQ105824469MaRDI QIDQ1053695

David A. Drake, Jean A. Larson

Publication date: 1983

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(83)90063-8

zbMATH Keywords

pairwise balanced designtransversal designself-orthogonal latin square

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Other designs, configurations (05B30) Orthogonal arrays, Latin squares, Room squares (05B15)

Related Items (11)

Incomplete conjugate orthogonal idempotent Latin squares ⋮ On the existence of MOLS with equal-sized holes ⋮ Pairwise balanced designs with block sizes \(6t+1\) ⋮ Resolvable balanced incomplete block designs with subdesigns of block size 4 ⋮ Necessary existence criteria for mandatory representation designs MRD (4, k; ν) ⋮ There is no Drake/Larson linear space on 30 points ⋮ Existence of holey LSSOM of type \(2^n\) with application to \(G_7\)-packings of \(K_v\) ⋮ Resolvable group divisible designs with block size 3 ⋮ The spectra of a variety of quasigroups and related combinatorial designs ⋮ On the existence of a PBD(30,{4,5,7,8*}) ⋮ A quest for certain linear spaces on thirty points

Cites Work

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• Orthogonal latin squares with orthogonal subsquares
• An existence theory for pairwise balanced designs. III: Proof of the existence conjectures
• 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
• Conjugate orthogonal quasigroups
• On resolvable designs

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