Sharp groups, two-weight codes and maximal arcs.

DOI10.1016/j.ejc.2006.12.002zbMath1147.20005OpenAlexW2053722906MaRDI QIDQ2462325

David M. Bundy

Publication date: 30 November 2007

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2006.12.002

zbMATH Keywords

two-weight codeslinear codesfinite permutation groupsmaximal arcssharp permutation groupsprojective geometrieshyperplane complementsaffine linear groupsgeometric groupsnormal elementary Abelian regular subgroupsrank 2 groups

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Combinatorial aspects of finite geometries (05B25) Blocking sets, ovals, (k)-arcs (51E21) Combinatorial codes (94B25) Characterization theorems for permutation groups (20B10)

Related Items (2)

The classification of sharp permutation groups of type {0,4} ⋮ The Classification of Primitive Sharp Permutation Groups of Type {0,k}

Cites Work

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• Sharp permutation groups
• Abelian sharp permutation groups.
• Non-Abelian sharp permutation \(p\)-groups.
• The Geometry of Two-Weight Codes
• On primitive sharp permutation groups
• One point stabilizers in almost simple sharp permutation groups
• Groups of maximal arcs
• On permutation groups of finite type
• Cycle index, weight enumerator, and Tutte polynomial

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