A design and a code invariant under the simple group \(Co_ 3\)

DOI10.1016/0097-3165(93)90045-AzbMath0769.94017OpenAlexW2054874912MaRDI QIDQ1803870

Vera S. Pless, Willem H. Haemers, Christopher Parker, Vladimir D. Tonchev

Publication date: 29 June 1993

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(93)90045-a

zbMATH Keywords

minimum weight codewordsConway's simple groupHigman-Sims simple groupdoubly transitive block-primitive designself-orthogonal doubly-even code

Mathematics Subject Classification ID

Simple groups: alternating groups and groups of Lie type (20D06) Combinatorial codes (94B25)

Related Items (20)

On the binary codes of length 552 which admit the simple group Co₃ as a transitive permutation group ⋮ Linear codes and doubly transitive symmetric designs ⋮ Permutation groups and binary self-orthogonal codes ⋮ Designs and codes from involutions of A_n ⋮ Unnamed Item ⋮ On some combinatorial structures constructed from the groups \(L(3, 5), U(5, 2)\), and \(S(6, 2)\) ⋮ Designs and codes from fixed points of finite groups ⋮ Some designs and codes invariant under the simple group Co\(_{2}\) ⋮ Spreads in strongly regular graphs ⋮ Some designs and codes invariant under the Tits group ⋮ Sporadic neighbour-transitive codes in Johnson graphs ⋮ A self-orthogonal doubly even code invariant under \(M^c L:2\) ⋮ On self-orthogonal designs and codes related to Held's simple group ⋮ A useful tool for constructing linear codes ⋮ Minimal binary 2-neighbour-transitive codes ⋮ ON A DESIGN FROM PRIMITIVE REPRESENTATIONS OF THE FINITE SIMPLE GROUPS ⋮ On the classification of binary completely transitive codes with almost-simple top-group ⋮ Designs and codes from basic 3-transpositions ⋮ Designs and codes from fixed points of elements of Janko simple group J₁ ⋮ The Hermitian two-graph and its code

Cites Work

• A global code invariant under the Higman-Sims group
• The regular two-graph on 276 vertices
• On the simple group of D.G. Higman and C.C. Sims
• A simple group of order 44,352,000
• Regular 2-Graphs
• Designs derived from permutation groups
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