Complete b-symbol weight distribution of some irreducible cyclic codes

Recently, b -symbol codes are proposed to protect against b -symbol errors in b -symbol read channels. It is an interesting subject of study to consider the complete b -symbol weight distribution of cyclic codes since b -symbol metric is a generalization for Hamming metric. The complete b -symbol Ha...

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Bibliographic Details
Published inDesigns, codes, and cryptography Vol. 90; no. 5; pp. 1113 - 1125
Main Authors Zhu, Hongwei, Shi, Minjia, Özbudak, Ferruh
Format Journal Article
LanguageEnglish
Published New York Springer US 01.05.2022
Springer Nature B.V
Subjects
Binary system
Codes
Coding and Information Theory
Computer Science
Cryptology
Discrete Mathematics in Computer Science
symbol error
94B14
Cyclic code
11T71
Irreducible cyclic code
94B27
symbol Hamming weight distribution
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Summary:Recently, b -symbol codes are proposed to protect against b -symbol errors in b -symbol read channels. It is an interesting subject of study to consider the complete b -symbol weight distribution of cyclic codes since b -symbol metric is a generalization for Hamming metric. The complete b -symbol Hamming weight distribution of irreducible cyclic codes is known in only a few cases. In this paper, we give a complete b -symbol Hamming weight distribution of a class of irreducible cyclic codes with two nonzero b -symbol Hamming weights.
Bibliography:ObjectType-Article-1
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content type line 14
ISSN:0925-1022
1573-7586
DOI:10.1007/s10623-022-01030-6