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On the number of non-G-equivalent minimal abelian codes

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Publication:5100213
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DOI10.3906/mat-2006-102OpenAlexW3123075369MaRDI QIDQ5100213

İpek Tuvay, Fatma Altunbulak Aksu

Publication date: 29 August 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.04077

zbMATH Keywords

\(G\)-equivalencehomocyclic group\(G\)-isomorphismminimal abelian code


Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Group rings (16S34)


Related Items

A characterization of abelian group codes in terms of their parameters



Cites Work

  • Unnamed Item
  • An intrinsical description of group codes
  • Minimal codes in Abelian group algebras
  • Group codes of dimension 2 and 3 are abelian
  • Group codes over fields are asymptotically good
  • Construction of minimal non-abelian left group codes
  • Minimal ideals in finite abelian group algebras and coding theory
  • Abelian Codes in Principal Ideal Group Algebras
  • Semisimple cyclic and Abelian codes. II
  • Group algebras and coding theory: a short survey
  • $G$-Equivalence in Group Algebras and Minimal Abelian Codes
  • On Cyclic and Abelian Codes
  • Rings, Modules and Codes
  • Binary Codes Which Are Ideals in the Group Algebra of an Abelian Group
  • On the theory of group codes
  • A theory of two-dimensional linear recurring arrays
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