Towards a Large Set of Steiner Quadruple Systems

DOI10.1137/0404018zbMath0741.51005OpenAlexW2022564105MaRDI QIDQ3978701

Alan Hartman, Tuvi Etzion

Publication date: 25 June 1992

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

Full work available at URL: https://semanticscholar.org/paper/f64d620b5336750822edf5858f2640576db1d962

zbMATH Keywords

number of pairwise disjoint Steiner quadruple systems

Mathematics Subject Classification ID

Other designs, configurations (05B30) Orthogonal arrays, Latin squares, Room squares (05B15) Steiner systems in finite geometry (51E10)

Related Items (16)

Large sets of \(t\)-designs through partitionable sets: a survey ⋮ An extending theorem for \(s\)-resolvable \(t\)-designs ⋮ Bounds and constructions of \(t\)-spontaneous emission error designs ⋮ On the chromatic number, colorings, and codes of the Johnson graph ⋮ Mixed hypergraphs with bounded degree: Edge-coloring of mixed multigraphs. ⋮ The first infinite family of orthogonal Steiner systems \(\mathrm{S}(3,5,v)\) ⋮ Explicit Baranyai partitions for quadruples, Part I: Quadrupling constructions ⋮ Block‐avoiding point sequencings ⋮ An improved recursive construction for disjoint Steiner quadruple systems ⋮ A class of 2-chromatic SQS(22) ⋮ Maximum sets of mutually disjoint 2-chromatic Steiner quadruple systems ⋮ Intersections of Steiner quadruple systems ⋮ Coloring mixed hypertrees ⋮ Large sets with multiplicity ⋮ Well-Balanced Designs for Data Placement ⋮ Some \(t\)-designs are minimal \((t+1)\)-coverings

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