Self-dual codes over a family of local rings

DOI10.1007/S00200-020-00466-4zbMath1483.94064OpenAlexW3092313103MaRDI QIDQ2043855

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

Publication date: 3 August 2021

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-020-00466-4

zbMATH Keywords

local ringsself-dual codescodes over rings

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05)

Cites Work

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• Quasi-cyclic codes as cyclic codes over a family of local rings
• Codes over \(R_k\), Gray maps and their binary images
• Cyclic codes over \(R_{k}\)
• Linear codes over \({\mathbb{F}_2+u\mathbb{F}_2+v\mathbb{F}_2+uv\mathbb{F}_2}\)
• Group rings, \(G\)-codes and constructions of self-dual and formally self-dual codes
• Codes over an infinite family of rings with a Gray map
• Algebraic Coding Theory Over Finite Commutative Rings

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