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Designs, Codes and Cryptography

Erschienen in:

21.03.2022

Complete b-symbol weight distribution of some irreducible cyclic codes

verfasst von: Hongwei Zhu, Minjia Shi, Ferruh Özbudak

Erschienen in: Designs, Codes and Cryptography | Ausgabe 5/2022

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Abstract

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.

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Titel: Complete b-symbol weight distribution of some irreducible cyclic codes
verfasst von: Hongwei Zhu
Minjia Shi
Ferruh Özbudak
Publikationsdatum: 21.03.2022
Verlag: Springer US
Erschienen in: Designs, Codes and Cryptography / Ausgabe 5/2022
Print ISSN: 0925-1022
Elektronische ISSN: 1573-7586
DOI: https://doi.org/10.1007/s10623-022-01030-6

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Complete b-symbol weight distribution of some irreducible cyclic codes

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