Quasi-cyclic codes as cyclic codes over a family of local rings

DOI10.1016/j.ffa.2016.04.002zbMath1405.94120OpenAlexW2344135815MaRDI QIDQ285472

Steven T. Dougherty, Roger Ten-Valls, Cristina Fernández-Córdoba

Publication date: 19 May 2016

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2016.04.002

zbMATH Keywords

quasi-cyclic codescodes over rings

Mathematics Subject Classification ID

Cyclic codes (94B15)

Related Items

Group rings, \(G\)-codes and constructions of self-dual and formally self-dual codes ⋮ Quaternary group ring codes: ranks, kernels and self-dual codes ⋮ Composite matrices from group rings, composite \(G\)-codes and constructions of self-dual codes ⋮ Self-dual codes over a family of local rings

Uses Software

• Code Tables

Cites Work

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• Codes over \(R_k\), Gray maps and their binary images
• Cyclic codes over \(R_{k}\)
• Linear codes over \({\mathbb{F}_2+u\mathbb{F}_2+v\mathbb{F}_2+uv\mathbb{F}_2}\)
• Duality for modules over finite rings and applications to coding theory

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