Self-orthogonal designs and codes from the symplectic groups S\(_4\)(3) and S\(_4\)(4)

DOI10.1016/j.disc.2007.04.047zbMath1152.05017OpenAlexW1973370740MaRDI QIDQ952655

Bernardo Gabriel Rodrigues

Publication date: 12 November 2008

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

Full work available at URL: https://doi.org/10.1016/j.disc.2007.04.047

zbMATH Keywords

symmetric designlinear codeself-orthogonal codeself-orthogonal design

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Linear codes (general theory) (94B05) Automorphisms of abstract finite groups (20D45)

Related Items

Self-orthogonal codes from the strongly regular graphs on up to 40 vertices ⋮ Ternary codes from the strongly regular \((45, 12, 3, 3)\) graphs and orbit matrices of 2-\((45, 12, 3)\) designs ⋮ On linear codes admitting large automorphism groups ⋮ Unnamed Item ⋮ On the existence of PD-sets: algorithms arising from automorphism groups of codes

Uses Software

• Magma

Cites Work

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• On matrix representations and codes associated with the simple group of order 25920
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• On symmetric block designs (40,13,4) with automorphisms of order 5
• Self-orthogonal codes from symmetric designs with fixed-point-free automorphisms
• A class of majority logic decodable codes (Corresp.)
• Primitive rank 3 groups on symmetric designs