On self-orthogonal designs and codes related to Held's simple group

DOI10.3934/amc.2018036zbMath1396.05121OpenAlexW2886830976MaRDI QIDQ1785003

Dean Crnković, Vedrana Mikulić Crnković, Bernardo Gabriel Rodrigues

Publication date: 27 September 2018

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/amc.2018036

zbMATH Keywords

designlinear codeorbit matrixsporadic simple groupHeld group

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Linear codes (general theory) (94B05) Association schemes, strongly regular graphs (05E30) Simple groups: sporadic groups (20D08) Group actions on combinatorial structures (05E18)

Related Items

Self-orthogonal codes constructed from weakly self-orthogonal designs invariant under an action of \(M_{11}\) ⋮ Unnamed Item

Uses Software

• Magma

Cites Work

• Strongly regular graphs with non-trivial automorphisms
• On the \(p\)-rank of the adjacency matrices of strongly regular graphs
• Self-orthogonal designs and extremal doubly even codes
• The maximal subgroups of the sporadic simple group of Held
• The Magma algebra system. I: The user language
• A design and a code invariant under the simple group \(Co_ 3\)
• Graphs related to Held's simple group
• Self-orthogonal codes from symmetric designs with fixed-point-free automorphisms
• Linear codes and doubly transitive symmetric designs
• Self-orthogonal codes from orbit matrices of 2-designs
• Some designs and binary codes preserved by the simple group \(\mathrm{Ru}\) of Rudvalis
• Some designs and codes invariant under the simple group Co\(_{2}\)
• The simple groups related to \(M_{24}\)
• The primitive permutation groups of degree less than 2500.
• The Finite Simple Groups
• The simple groups related to M₂₄, II
• Maximal Subgroups of Automorphism Groups of Simple Groups
• The Minimal Degrees of Faithful Representations of the Sporadic Simple Groups and their Covering Groups
• A presentation and a representation of the Held group
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item