Another expression of the MacWilliams identities and its applications

DOI10.3934/amc.2022044zbMath1522.94113MaRDI QIDQ6112191

Xue-Mei Wang, Fengwei Li

Publication date: 7 July 2023

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

zbMATH Keywords

MacWilliams identitiesMDS linear code\(b\)-symbol code

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Other types of codes (94B60)

Cites Work

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• Maximum distance separable codes for \(b\)-symbol read channels
• The symbol-pair distance distribution of a class of repeated-root cyclic codes over \(\mathbb {F}_{p^{m}}\)
• New constructions of MDS symbol-pair codes
• On symbol-pair weight distribution of MDS codes and simplex codes over finite fields
• On the \(b\)-distance of repeated-root constacyclic codes of prime power lengths
• On the symbol-pair distances of repeated-root constacyclic codes of length \(2 p^s\)
• Weight distributions of cyclic codes of length \(t l^m\)
• Constructions and Decoding of Cyclic Codes Over <inline-formula> <tex-math notation="LaTeX">$b$ </tex-math> </inline-formula>-Symbol Read Channels
• A Construction of New MDS Symbol-Pair Codes
• Fundamentals of Error-Correcting Codes
• Flots d'Anosov a Distributions Stable et Instable Differentiables
• Constacyclic Symbol-Pair Codes: Lower Bounds and Optimal Constructions
• Bounds and Constructions of Codes Over Symbol-Pair Read Channels
• Codes for Symbol-Pair Read Channels
• Maximum Distance Separable Codes for Symbol-Pair Read Channels

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