A self-orthogonal doubly even code invariant under \(M^c L:2\)

DOI10.1016/j.jcta.2004.10.001zbMath1076.05087OpenAlexW2033573161MaRDI QIDQ1775546

Jamshid Moori, Bernardo Gabriel Rodrigues

Publication date: 4 May 2005

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2004.10.001

zbMATH Keywords

McLaughlin groupself-dual symmetric designself-orthogonal doubly even binary code

Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Linear codes (general theory) (94B05) Simple groups: sporadic groups (20D08)

Related Items (15)

The projective special unitary group \(\mathrm{PSU}_2(16)\) and their codes ⋮ Some designs and binary codes preserved by the simple group \(\mathrm{Ru}\) of Rudvalis ⋮ A projective two-weight code related to the simple group \(\mathrm{Co}_1\) of Conway ⋮ Permutation groups and binary self-orthogonal codes ⋮ Designs from maximal subgroups and conjugacy classes of Ree groups ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Constructing some designs invariant underPSL₂(q),qeven ⋮ Some designs and codes invariant under the simple group Co\(_{2}\) ⋮ Some designs and codes invariant under the Tits group ⋮ Unnamed Item ⋮ A self-orthogonal doubly even code invariant under \(M^c L:2\) ⋮ Unnamed Item ⋮ Some designs and codes invariant under the groups \(S_9\) and \(A_8\) ⋮ Some symmetric designs invariant under the small Ree groups

Uses Software

• Magma

Cites Work

• A global code invariant under the Higman-Sims group
• A self-orthogonal doubly even code invariant under \(M^c L:2\)
• A design and a code invariant under the simple group \(Co_ 3\)
• The maximal subgroups of Conway's group C\(_3\) and McLaughlin's group
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A self-orthogonal doubly even code invariant under \(M^c L:2\)