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 in:Designs, codes, and cryptography codes, and cryptography, 2022-05, Vol.90 (5), p.1113-1125
Main Authors: Zhu, Hongwei, Shi, Minjia, Özbudak, Ferruh
Format: Article
Language:English
Subjects:
Binary system
Codes
Coding and Information Theory
Computer Science
Cryptology
Discrete Mathematics in Computer Science
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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.
ISSN:0925-1022
1573-7586
DOI:10.1007/s10623-022-01030-6