New \(t\)-designs and large sets of \(t\)-designs

DOI10.1016/S0012-365X(99)90047-XzbMath0936.05010OpenAlexW4213006630MaRDI QIDQ1292816

Alfred Wassermann, Anton Betten, Reinhard Laue

Publication date: 1999

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

Full work available at URL: https://doi.org/10.1016/s0012-365x(99)90047-x

zbMATH Keywords

computer searchlarge sets of \(t\)-designs

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)

Related Items (3)

Hypergraphical \(t\)-designs ⋮ \(t\)-wise balanced designs ⋮ Search for combinatorial objects using lattice algorithms -- revisited

Uses Software

• DISCRETA
• ATLAS Group Representations

Cites Work

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• Non-trivial \(t\)-designs without repeated blocks exist for all \(t\)
• On the construction of \(t\)-designs and the existence of some new infinite families of simple 5-designs
• The existence of simple \(6\text{-}(14,7,4)\) designs
• Factoring polynomials with rational coefficients
• Combining \(t\)-designs
• Extending t-designs
• On t-designs
• t-designs on hypergraphs
• Simple \(8\)-designs with small parameters
• Simple 8-(40, 11, 1440) designs
• High order intersection numbers of \(t\)-designs
• Locally trivial t-designs and t-designs without repeated blocks
• Allgemeine Schnittzahlen in t-Designs. (General intersection numbers in t-designs)
• Extending large sets of \(t\)-designs
• The t‐designs with prescribed automorphism group, new simple 6‐designs

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