Holey Steiner pentagon systems

DOI<41::AID-JCD6>3.0.CO;2-Q 10.1002/(SICI)1520-6610(1999)7:1<41::AID-JCD6>3.0.CO;2-QzbMath0922.05006OpenAlexW1995638968MaRDI QIDQ4244123

Han-Tao Zhang, R. Julian R. Abel, Frank E. Bennett

Publication date: 17 October 1999

Full work available at URL: https://doi.org/10.1002/(sici)1520-6610(1999)7:1<41::aid-jcd6>3.0.co;2-q

zbMATH Keywords

cycle systemholey Steiner pentagon systems

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Loops, quasigroups (20N05) Triple systems (05B07)

Related Items

The Existence of Mixed Orthogonal Arrays with Four and Five Factors of Strength Two ⋮ Super-simple resolvable balanced incomplete block designs with block size 4 and index 4 ⋮ Super-simple twofold Steiner pentagon systems ⋮ Extra two-fold Steiner pentagon systems ⋮ Modified group divisible designs with block size 5 and even index ⋮ Super-simple Steiner pentagon systems ⋮ Holey Steiner pentagon systems and related designs ⋮ Special issue: 2nd Shanghai conference on designs, codes and finite geometries. Shanghai Jiao Tong Univ., Shanghai, China, May 14--18, 1996 ⋮ Recent progress on the existence of perfect Mendelsohn designs ⋮ Some new HSOLSSOMs of types hn and 1m u1 ⋮ Almost resolvable perfect Mendelsohn designs with block size five ⋮ Existence of HSOLSSOMs of type \(2^nu^1\)

Cites Work

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• Steiner pentagon systems
• Constructions of perfect Mendelsohn designs
• Balanced incomplete block designs and related designs
• Holey self-orthogonal Latin squares with symmetric orthogonal mates
• The spectrum of \(\text{HSOLSSOM}(h^ n)\) where \(h\) is even
• On the spectrum of resolvable orthogonal arrays invariant under the Klein group \(K_ 4\)
• The existence of uniform 5-GDDs