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
收藏
页码：1113 / 1125
页数：13
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