The Steiner quadruple systems of order 16

DOI10.1016/j.jcta.2006.03.017zbMath1107.05012OpenAlexW2125540700MaRDI QIDQ855876

Patric R. J. Östergård, Petteri Kaski, Olli Pottonen

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.jcta.2006.03.017

zbMATH Keywords

classificationSteiner systemderived designSQS

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)

Related Items (13)

Classification of Cyclic Steiner Quadruple Systems ⋮ Classification of Steiner quadruple systems of order 16 and rank 14 ⋮ On resolvability of Steiner systems \(S ( v = 2^{ m }, 4, 3)\) of rank \(r \leq v - m + 1\) over \(\mathbb{F}_{2}\) ⋮ Bussey systems and Steiner's tactical problem ⋮ Switching codes and designs ⋮ There exists no Steiner system \(S(4,5,17)\) ⋮ On one transformation of Steiner quadruple systems \(S(\upsilon , 4, 3)\) ⋮ Symmetric abelian group-invariant Steiner quadruple systems ⋮ Almost simple groups with socle \(L_n(q)\) acting on Steiner quadruple systems ⋮ Parallelism in Steiner systems ⋮ Steiner systems \(S(v, k, k - 1)\): components and rank ⋮ Automorphism groups of designs with \(\lambda = 1\) ⋮ Steiner quadruple systems with point-regular abelian automorphism groups

Uses Software

• nauty

Cites Work

• Classification algorithms for codes and designs
• Block designs with \(v=10\), \(k=5\), \(\lambda=4\)
• Steiner quadruple systems - a survey
• On the upper and lower chromatic numbers of BSQSs(16)
• Classification of Steiner quadruple systems of order 16 and rank at most 13
• Isomorph-Free Exhaustive Generation
• The Steiner triple systems of order 19
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