On the spectrum of resolvable orthogonal arrays invariant under the Klein group \(K_ 4\)

DOI10.1007/BF02189680zbMath0562.05017OpenAlexW2037541614MaRDI QIDQ2266718

Charles C. Lindner, Douglas R. Stinson, Ronald C. Mullin

Publication date: 1983

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/136998

zbMATH Keywords

spectrumorthogonal arrayKlein 4-group

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Orthogonal arrays, Latin squares, Room squares (05B15) Statistical block designs (62K10) General block designs in finite geometry (51E05)

Related Items (14)

Existence of three HMOLS of type \(2^nu^{1}\) ⋮ On the existence of MOLS with equal-sized holes ⋮ Edge-coloured designs with block size four ⋮ The existence of orthogonal diagonal Latin squares with subsquares ⋮ Existence of SOLS with holes of type \(2^ n u^ 1\) ⋮ Existence of three HMOLS of types \(h^ n\) and \(2^ n3^ 1\) ⋮ Some new HSOLSSOMs of types hn and 1m u1 ⋮ Holey Steiner pentagon systems ⋮ Existence of HSOLSSOMs of type \(2^nu^1\) ⋮ The spectrum of \(\text{HSOLSSOM}(h^ n)\) where \(h\) is even ⋮ Mols with holes ⋮ Holey self-orthogonal Latin squares with symmetric orthogonal mates ⋮ Steiner pentagon systems ⋮ On sets of three mols with holes

Cites Work

• On the construction of Schroeder quasigroups
• A generalization of the singular direct product with applications to skew room squares
• Concerning the number of mutually orthogonal latin squares
• The Spectra for the Conjugate Invariant Subgroups of n² × 4 Orthogonal Arrays

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