Generalized steiner triple systems with group size five

DOI<441::AID-JCD5>3.0.CO;2-W 10.1002/(SICI)1520-6610(1999)7:6<441::AID-JCD5>3.0.CO;2-WzbMath0942.05006OpenAlexW2051955240MaRDI QIDQ4718743

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Publication date: 15 August 2000

Full work available at URL: https://doi.org/10.1002/(sici)1520-6610(1999)7:6<441::aid-jcd5>3.0.co;2-w

zbMATH Keywords

Steiner triple systemgroup divisible designpairwise balanced designcode

Mathematics Subject Classification ID

Triple systems (05B07)

Related Items (13)

A survey on maximum distance holey packings ⋮ On large set plus of disjoint incomplete Latin squares ⋮ Completely reducible super-simple designs with block size four and related super-simple packings ⋮ Construction of optimal ternary constant weight codes via Bhaskar Rao designs ⋮ Completely reducible super-simple designs with block size five and index two ⋮ Existence of generalized Steiner systems \(\text{GS}(2,4,v,2)\) ⋮ Generalized Steiner systems GS4 (2, 4, v, g) for g = 2, 3, 6 ⋮ Constructions for generalized Steiner systems \(\mathrm{GS}(3,4,v,2)\) ⋮ Generalized Steiner triple systems with group size \(g\equiv 0,3 \pmod 6\) ⋮ Starters and related codes ⋮ Constructions of optimal quaternary constant weight codes via group divisible designs ⋮ Hanani triple packings and optimal \(q\)-ary codes of constant weight three ⋮ Combinatorial designs and perfect codes

Cites Work

• Unnamed Item
• A generalization of the singular direct product with applications to skew room squares
• Constant weight codes and group divisible designs
• Optimal constant weight codes over \(Z_k\) and generalized designs
• Resolvable Mendelsohn triple systems with equal sized holes
• Generalized Steiner systems with block size three and group sizeg ? 3(mod 6)
• The spectrum for large set of disjoint incomplete Latin squares

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