t-designs from the large Mathieu groups

DOI10.1016/0012-365X(81)90236-3zbMath0471.05011OpenAlexW4210281603MaRDI QIDQ1157332

Spyros S. Magliveras, Dale M. Mesner, Earl S. Kramer

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0012-365x(81)90236-3

zbMATH Keywords

Mathieu groupst-designs

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (9)

The existence of simple \(6\text{-}(14,7,4)\) designs ⋮ \(s\)-flag-transitive designs for \(s \geq 4\) ⋮ Distance-regular graphs and new block designs obtained from the Mathieu groups ⋮ Unnamed Item ⋮ Designs from subcode supports of linear codes ⋮ Unnamed Item ⋮ \(t\)-wise balanced designs ⋮ The family of t-designs. II ⋮ On three-designs of small order

Cites Work

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• t-designs on hypergraphs
• Two new families of 4-designs
• Transitivity of finite permutation groups on unordered sets
• A representation of the Mathieu group \(M_{24}\) as a collineation group
• An infinite class of 5-designs
• Some New 5-Designs
• On Subgroups of M 24 . I: Stabilizers of Subsets

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