A Class of Steiner Triple Systems of Order 21 and Associated Kirkman Systems

DOI10.2307/2007514zbMath0473.05009OpenAlexW4241470250MaRDI QIDQ3927260

Kevin T. Phelps, Alexander Rosa, Rudolf A. Mathon

Publication date: 1981

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2007514

zbMATH Keywords

Steiner triple systemKirkman triple systemresolvability

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of block designs (05B05) Steiner systems in finite geometry (51E10)

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On complete arcs in Steiner systems S(2,3,v) and S(2,4,v) ⋮ Unnamed Item ⋮ Enumerating Steiner triple systems ⋮ Steiner triple systems of order 21 with a transversal subdesign \(\mathrm{TD}(3, 6)\) ⋮ Steiner triple systems of order 21 with subsystems ⋮ Embedding Steiner triple systems into Steiner systems \(S(2,4,v)\). ⋮ Steiner triple systems of order 19 and 21 with subsystems of order 7 ⋮ Asymptotically optimal erasure-resilient codes for large disk arrays. ⋮ A survey of Kirkman triple systems and related designs ⋮ Kirkman triple systems of order 21 with nontrivial automorphism group ⋮ Intersection numbers of Kirkman triple systems ⋮ The flower intersection problem for Kirkman triple systems

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