THE PUNCTURED CODES OF TWO CLASSES OF CYCLIC CODES WITH FEW WEIGHTS

被引：0
|
作者：
Ji, Qinqin [1 ]
Zheng, Dabin [1 ]
Wang, Xiaoqiang [1 ]
机构：
[1] Hubei Univ, Fac Math & Stat, Hubei Key Lab Appl Math, Wuhan 430062, Peoples R China
来源：
ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2022年 / 16卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Linear code; punctured code; Gauss sum; cyclotomic class; weight distribution; LINEAR CODES; 3-WEIGHT CODES; DISTRIBUTIONS; 2-WEIGHT; CONSTRUCTION;
D O I：
10.3934/amc.2022062
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The puncturing technique is one of important tools for constructing new codes from old ones. In recent years, many classes of linear codes with interesting parameters have been obtained with this technique. Based on quadratic Gauss sums, the puncturing technique and cyclotomic classes, we investigate two classes of punctured codes of cyclic codes over finite fields. The weight distribution and the parameters of the duals of these codes are studied. The parameters of these codes are new.
引用
收藏
页码：791 / 810
页数：20
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