The symbol-pair distance distribution of a class of repeated-root cyclic codes over \(\mathbb {F}_{p^{m}}\)

DOI10.1007/S12095-017-0249-2zbMath1391.94857arXiv1607.01887OpenAlexW2742653800MaRDI QIDQ1704204

Zhonghua Sun, Liqi Wang, Shixin Zhu

Publication date: 9 March 2018

Published in: Cryptography and Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.01887

zbMATH Keywords

cyclic codesdistance distributionsymbol-pair codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Cyclic codes (94B15)

Related Items (8)

Complete \(b\)-symbol weight distribution of some irreducible cyclic codes ⋮ Constructions of MDS symbol-pair codes with minimum distance seven or eight ⋮ AMDS symbol-pair codes from repeated-root cyclic codes ⋮ Another expression of the MacWilliams identities and its applications ⋮ The \(b\)-symbol weight hierarchy of the Kasami 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 ⋮ MDS symbol-pair codes from repeated-root cyclic codes

Cites Work

• On the linear ordering of some classes of negacyclic and cyclic codes and their distance distributions
• 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
• Constacyclic Symbol-Pair Codes: Lower Bounds and Optimal Constructions
• Codes for Symbol-Pair Read Channels
• Maximum Distance Separable Codes for Symbol-Pair Read Channels
• Polynomial weights and code constructions

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