Infinite families of strictly cyclic Steiner quadruple systems

DOI10.1016/0012-365X(89)90369-5zbMath0684.05009MaRDI QIDQ1825198

Helmut Siemon

Publication date: 1989

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

Steiner quadruple systemcyclic automorphism group

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Steiner systems in finite geometry (51E10) Triple systems (05B07)

Related Items (11)

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 ⋮ 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 ⋮ The last packing number of quadruples, and cyclic SQS

Cites Work

• Some remarks on the construction of cyclic Steiner quadruple systems
• A general recursive construction for quadruple systems
• Zyklische Quadrupelsysteme
• On Quadruple Systems
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