A characterization of abelian group codes in terms of their parameters

DOI10.55730/1300-0098.3296OpenAlexW4295066040MaRDI QIDQ5045140

İpek Tuvay, Fatma Altunbulak Aksu

Publication date: 4 November 2022

Published in: Turkish Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.06366

zbMATH Keywords

weight distributionabelian group codes\(G\)-equivalencehomocyclic group

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Group rings (16S34) Finite abelian groups (20K01)

Cites Work

• Idempotents in group algebras and minimal abelian codes
• Minimal codes in Abelian group algebras
• An introduction to group rings
• Group codes over fields are asymptotically good
• Semisimple cyclic and Abelian codes. II
• On the number of non-G-equivalent minimal abelian codes
• The Structure and Properties of Binary Cyclic Alphabets
• $G$-Equivalence in Group Algebras and Minimal Abelian Codes
• Binary Codes Which Are Ideals in the Group Algebra of an Abelian Group
• On the theory of group codes
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