Intersections and supports of quadruple systems

DOI10.1016/0012-365X(91)90427-4zbMath0767.05024MaRDI QIDQ1183973

Charles J. Colbourn, Alan Hartman

Publication date: 28 June 1992

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

zbMATH Keywords

supportintersectionquadruple systems

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Other designs, configurations (05B30) Steiner systems in finite geometry (51E10) Triple systems (05B07)

Related Items (3)

Intersections of Steiner quadruple systems ⋮ Support sizes of threefold quadruple systems ⋮ The fundamental construction for 3-designs

Cites Work

• The spectrum of support sizes for threefold triple systems
• Intersections of Steiner systems S(3,4,v) with \(v=5\cdot 2^ n\)
• Steiner quadruple systems having a prescribed number of quadruples in common
• Covering triples by quadruples: an asymptotic solution
• The number of repeated blocks in twofold triple systems
• Intersection problem of Steiner systems S(3,4,2v)
• Construction of Steiner quadruple systems having a prescribed number of blocks in common
• On the set \(J(v)\) for Steiner quadruple systems of order \(v=2^ n\) with \(n\geq 4\)
• On theory and applications of BIB designs with repeated blocks
• Support sizes of sixfold triple systems
• The existence of simple \(S_ 3(3,4,\nu)\)
• Intersections among Steiner systems
• Subdesigns in Steiner quadruple systems
• On Quadruple Systems
• Steiner Triple Systems Having a Prescribed Number of Triples in Common
• Some Results on Partial Steiner Quadruple Systems
• On Some Tactical Configurations
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