A general recursive construction for quadruple systems

DOI10.1016/0097-3165(82)90001-2zbMath0489.05011OpenAlexW2084397557MaRDI QIDQ1166526

Alan Hartman

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0097-3165(82)90001-2

zbMATH Keywords

3-designssingular direct productSteiner-quadruple system

Mathematics Subject Classification ID

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

Related Items

Existence of optimal strong partially balanced 3-designs with block size four, Intersection problem of Steiner systems S(3,4,2v), The existence of resolvable Steiner quadruple systems, A new existence proof for Steiner quadruple systems, On the intersection of two S(3,4,2v) having a same derived triple system, Quadruple systems containing \(AG(3,2)\), A general recursive construction for quadruple systems, Optimal constant weight covering codes and nonuniform group divisible 3-designs with block size four, The completion determination of optimal \((3,4)\)-packings, Intersections of Steiner quadruple systems, Support sizes of threefold quadruple systems, Subdesigns in Steiner quadruple systems, Some New Infinite Classes of Candelabra Quadruple Systems, Infinite families of strictly cyclic Steiner quadruple systems, The fundamental construction for 3-designs, Covering triples by quadruples: an asymptotic solution

Cites Work

• Quadruple systems containing \(AG(3,2)\)
• A general recursive construction for quadruple systems
• Steiner quadruple systems - a survey
• On Quadruple Systems
• Simple Steiner Quadruple Systems
• Some new constructions of 4-tuple systems
• On Some Tactical Configurations
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