On the construction of \(t\)-designs and the existence of some new infinite families of simple 5-designs

DOI10.1007/BF01193690zbMath0608.05010OpenAlexW1967243373MaRDI QIDQ1086237

Tran van Trung

Publication date: 1986

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01193690

zbMATH Keywords

constructions5-designs

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)

Related Items (12)

Block transitive resolutions of \(t\)-designs and Room rectangles ⋮ On existence theorems for simple \(t\)-designs ⋮ A recursive construction for simple \(t\)-designs using resolutions ⋮ Simple \(t\)-designs: a recursive construction for arbitrary \(t\) ⋮ A construction of designs on \(n+1\) points from multiply homogeneous permutation groups of degree \(n\) ⋮ Derived and residual subspace designs ⋮ A generalization of a result of Tran Van Trung ont-designs ⋮ Mutually disjoint designs and new 5-designs derived from groups and codes ⋮ New \(t\)-designs and large sets of \(t\)-designs ⋮ Recursive constructions for \(s\)-resolvable \(t\)-designs ⋮ Simple non-trivial designs with an arbitrary automorphism group ⋮ Some existence theorems for \(t\)-designs

Cites Work

• On the existence of an infinite family of simple 5-designs
• On Quadruple Systems
• Unnamed Item

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