The existence of simple \(6\text{-}(14,7,4)\) designs

DOI10.1016/0097-3165(86)90064-6zbMath0647.05013OpenAlexW1986345894MaRDI QIDQ1104330

Donald L. Kreher, Stanislaw P. Radziszowski

Publication date: 1986

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(86)90064-6

zbMATH Keywords

automorphism groupcyclic designs

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25)

Related Items (13)

Design of designs ⋮ Classification of 6‐(14,7,4) designs with nontrivial automorphism groups ⋮ Partial geometric designs with prescribed automorphisms ⋮ Two 5-designs on 32 points ⋮ A method of constructing 2-resolvable \(t\)-designs for \(t=3,4\) ⋮ Large sets of \(t\)-designs through partitionable sets: a survey ⋮ Combining \(t\)-designs ⋮ Partitioning sets of quadruples into designs. III ⋮ Some new 6-(14, 7, 4) designs ⋮ Locally trivial t-designs and t-designs without repeated blocks ⋮ New \(t\)-designs and large sets of \(t\)-designs ⋮ Some infinite families of large sets of \(t\)-designs ⋮ Search for combinatorial objects using lattice algorithms -- revisited

Cites Work

• t-designs from the large Mathieu groups
• Factoring polynomials with rational coefficients
• Extending t-designs
• t-designs on hypergraphs
• Solving low-density subset sum problems
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