Some remarks on the construction of cyclic Steiner quadruple systems

DOI10.1007/BF01200480zbMath0601.05006MaRDI QIDQ1080852

Helmut Siemon

Publication date: 1987

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

graphautomorphism group1-factorSteiner quadruple systemsSQScyclic SQSdifference quadrupledifference triples

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Triple systems (05B07) Graph theory (05C99)

Related Items (14)

Combinatorial constructions of optimal \((m,n,4,2)\) optical orthogonal signature pattern codes ⋮ New optical orthogonal signature pattern codes with maximum collision parameter 2 and weight 4 ⋮ Bounds and constructions for \((v,W,2,Q)\)-OOCs ⋮ Cyclic Steiner quadruple systems and Köhler's orbit graphs ⋮ A brief review on Egmont Köhler's mathematical work ⋮ On the existence of cyclic Steiner quadruple systems SQS(2p) ⋮ Affine-invariant strictly cyclic Steiner quadruple systems ⋮ Constructions for strictly cyclic 3-designs and applications to optimal OOCs with \(\lambda =2\) ⋮ Symmetric abelian group-invariant Steiner quadruple systems ⋮ Constructions of dihedral Steiner quadruple systems ⋮ Constructions for cyclic 3-designs and improved results on cyclic Steiner quadruple systems ⋮ Infinite families of strictly cyclic Steiner quadruple systems ⋮ Steiner quadruple systems with point-regular abelian automorphism groups ⋮ The last packing number of quadruples, and cyclic SQS

Cites Work

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• Steiner quadruple systems - a survey
• Zyklische Quadrupelsysteme
• On Quadruple Systems
• Infinite Classes of Cyclic Steiner Quadruple Systems
• Some Recent Results on Cyclic Steiner Quadruple Systems - A Survey

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