Self-dual 2-quasi-cyclic codes and dihedral codes

DOI10.1016/J.FFA.2022.102127OpenAlexW4226320589MaRDI QIDQ2101187

Yun Fan, Yuchang Zhang

Publication date: 28 November 2022

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.01497

zbMATH Keywords

finite fieldsself-dual codesdouble circulant codesconsta-dihedral codes2-quasi-cyclic codesdihedral group codes

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite fields (field-theoretic aspects) (12E20) Other types of codes (94B60) Polynomials and finite commutative rings (13M10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of cyclic self-orthogonal codes: a note on a result of Vera Pless
• On the algebraic structure of quasi-cyclic codes. II: Chain rings
• On self-dual double circulant codes
• On self-dual double negacirculant codes
• Existence conditions for self-orthogonal negacyclic codes over finite fields
• Idempotents, Mattson-Solomon polynomials and binary LDPC codes
• Self-Dual Doubly Even $2$-Quasi-Cyclic Transitive Codes Are Asymptotically Good
• Fundamentals of Error-Correcting Codes
• Dihedral Group Codes Over Finite Fields

This page was built for publication: Self-dual 2-quasi-cyclic codes and dihedral codes