Symmetric semisimple modules of group algebras over finite fields and self-dual permutation codes.

DOI10.1016/j.jalgebra.2012.01.014zbMath1275.20004OpenAlexW2022221282MaRDI QIDQ713287

Yun Fan, Ping Jin

Publication date: 26 October 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2012.01.014

zbMATH Keywords

group algebrasfinite groupssemisimple modulesself-dual codespermutation codessymmetric modulesbilinear metrics

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Other types of codes (94B60)

Related Items

Metabolic modules of finite group algebras over finite fields of characteristic two

Cites Work

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• On self-dual permutation codes
• Monomial characters and normal subgroups
• Primitive characters, normal subgroups, and M-groups
• Hyperbolic modules and cyclic subgroups.
• On tensor induction for representations of finite groups.
• Self-dual extended cyclic codes
• Self-Dual Codes and Modules for Finite Groups in Characteristic Two
• Automorphisms of doubly even self-dual binary codes
• A note on self-dual group codes
• Structure theorems for group ring codes with an application to self-dual codes