A class of almost MDS codes

DOI10.1016/j.ffa.2022.101996zbMath1492.94201OpenAlexW4210408507MaRDI QIDQ2668084

Jun Zhang, Zhengchun Zhou, Xiaojun Geng, Meng Yang

Publication date: 3 March 2022

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2022.101996

zbMATH Keywords

linear codecyclic codeMDS codeBCH codelocally repairable code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Other types of codes (94B60) Cyclic codes (94B15)

Related Items (5)

Near MDS codes of non-elliptic-curve type from Reed-Solomon codes ⋮ A construction of optimal locally recoverable codes ⋮ Near MDS codes with dimension 4 and their application in locally recoverable codes ⋮ Near-MDS codes from maximal arcs in \(\mathrm{PG}(2,q)\) ⋮ Constructions of near MDS codes which are optimal locally recoverable codes

Cites Work

• Codes of small defect
• Some binary BCH codes with length \(n = 2^m + 1\)
• Parameters of LCD BCH codes with two lengths
• On near-MDS codes
• The dual-containing primitive BCH codes with the maximum designed distance and their applications to quantum codes
• Bounds on the Size of Locally Recoverable Codes
• A Family of Optimal Locally Recoverable Codes
• On the Locality of Codeword Symbols
• Fundamentals of Error-Correcting Codes
• The Minimum Distance of Some Narrow-Sense Primitive BCH Codes
• Infinite Families of Near MDS Codes Holding t-Designs
• On Two Classes of Primitive BCH Codes and Some Related Codes

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