On the 3BD-closed set \(B_3(\{4,5\})\)

DOI10.1016/j.disc.2004.06.009zbMath1051.05021OpenAlexW2045771243MaRDI QIDQ1886341

Lijun Ji

Publication date: 18 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.disc.2004.06.009

zbMATH Keywords

closed set\(t\)-wise balanced design\(s\)-fan designHanani

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Other designs, configurations (05B30)

Related Items (22)

A new infinite class of S(3, {4, 5, 7}, v) ⋮ P3BD-closed sets ⋮ A completion of the spectrum for the overlarge sets of pure Mendelsohn triple systems ⋮ A construction for 2-chromatic Steiner quadruple systems ⋮ Egalitarian Steiner quadruple systems of doubly even order ⋮ Purely tetrahedral quadruple systems ⋮ Existence of Steiner quadruple systems with an almost spanning block design ⋮ Large sets of extended directed triple systems with odd orders ⋮ Constructions for large sets of \(v-1\{0,{v\over 3}\}\)-intersecting Steiner triple systems of order \(v\) ⋮ On the Existence of S(3,{4,5,7},v) ⋮ The spectrum of \(G\)-\(\mathrm{OD}_{\lambda }(3,4,v)\) ⋮ Constructions of optimal two-dimensional optical orthogonal codes with AM-OPPW restriction for \(\lambda = 2\) ⋮ New infinite classes of 2‐chromatic Steiner quadruple systems ⋮ The spectrum for overlarge sets of hybrid triple systems ⋮ The spectrum for overlarge sets of directed triple systems ⋮ Doubly resolvable H designs ⋮ Constructions for strictly cyclic 3-designs and applications to optimal OOCs with \(\lambda =2\) ⋮ Some New Infinite Classes of Candelabra Quadruple Systems ⋮ The Existence of Well-Balanced Triple Systems ⋮ Constructions for cyclic 3-designs and improved results on cyclic Steiner quadruple systems ⋮ A new existence proof for large sets of disjoint Steiner triple systems ⋮ Further study on optimal data placements for triple replication

Cites Work

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• Existence of Steiner quadruple systems with a spanning block design
• A class of three-designs
• The fundamental construction for 3-designs
• Constructions for Steiner quadruple systems with a spanning block design
• On Quadruple Systems
• Proper S(t, K,v)'s for t ≥ 3,v ≤ 16, |K| > 1 and Their Extensions
• On the 3BD-closed setB3({4,5,6})
• On Some Tactical Configurations

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