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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Vydané v:Designs, codes, and cryptography Ročník 90; číslo 5; s. 1113 - 1125
Hlavní autori: Zhu, Hongwei, Shi, Minjia, Özbudak, Ferruh
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: New York Springer US 01.05.2022
Springer Nature B.V
Predmet:
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
ISSN:0925-1022, 1573-7586
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Popis
Shrnutí: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.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0925-1022
1573-7586
DOI:10.1007/s10623-022-01030-6