Combining \(t\)-designs

DOI10.1016/0097-3165(91)90071-NzbMath0735.05021OpenAlexW2014382988MaRDI QIDQ1177945

S. Ajoodani-Namini, Gholamreza Khosrovshahi

Publication date: 26 June 1992

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(91)90071-n

zbMATH Keywords

\(t\)-designsspectrum of triple systems

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Other designs, configurations (05B30) Triple systems (05B07)

Related Items (16)

Constructing regular self-complementary uniform hypergraphs ⋮ More on halving the complete designs ⋮ Block transitive resolutions of \(t\)-designs and Room rectangles ⋮ An extending theorem for \(s\)-resolvable \(t\)-designs ⋮ All block designs with \(b={v\choose k}/2\) exist ⋮ More on the Wilson \(W_{tk}(v)\) matrices ⋮ On the spectrum of simple \(T(2,3,v)\) trades ⋮ Large sets of subspace designs ⋮ New partitionings of complete designs ⋮ A recursive construction for simple \(t\)-designs using resolutions ⋮ Simple \(t\)-designs: a recursive construction for arbitrary \(t\) ⋮ Support sizes of triple systems ⋮ Some new 6-(14, 7, 4) designs ⋮ New \(t\)-designs and large sets of \(t\)-designs ⋮ Some infinite families of large sets of \(t\)-designs ⋮ Recursive constructions for \(s\)-resolvable \(t\)-designs

Cites Work

• On large sets of disjoint Steiner triple systems. VI
• The spectrum of support sizes for threefold triple systems
• The existence of simple \(6\text{-}(14,7,4)\) designs
• A completion of Lu's determination of the spectrum for large sets of disjoint Steiner triple systems
• Support sizes of sixfold triple systems
• On the maximum number of disjoint triple systems
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