Complete b-symbol weight distribution of some irreducible cyclic codes

被引：12

作者：

Zhu, Hongwei ^{[1
]}

Shi, Minjia ^{[1
]}

Ozbudak, Ferruh ^{[2
,3
]}

机构：

[1] Anhui Univ, Sch Math Sci, Key Lab Intelligent Comp Signal Proc, Minist Educ, Hefei 230601, Anhui, Peoples R China

[2] Middle East Tech Univ, Dept Math, Ankara, Turkey

[3] Middle East Tech Univ, Inst Appl Math, Ankara, Turkey

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2022年 / 90卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Cyclic code; b-symbol error; b-symbol Hamming weight distribution; Irreducible cyclic code; DISTANCE SEPARABLE CODES; HAMMING WEIGHTS;

D O I：

10.1007/s10623-022-01030-6

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

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.

引用

页码：1113 / 1125

页数：13

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