ON SOME CLASSES OF CODES WITH A FEW WEIGHTS

被引：10

作者：

Liu, Yiwei ^{[1
]}

Liu, Zihui ^{[2
]}

机构：

[1] Beijing Inst Technol, Sch Comp Sci & Technol, Beijing 100081, Peoples R China

[2] Beijing Inst Technol, Dept Math, Beijing Key Lab MCAACI, Beijing 100081, Peoples R China

来源：

ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2018年 / 12卷 / 02期

基金：

美国国家科学基金会;

关键词：

Weight distribution; trace function; secret sharing scheme; primitive root; generalized Hamming weight; GENERALIZED HAMMING WEIGHTS; SECRET SHARING SCHEMES; BINARY LINEAR CODES;

D O I：

10.3934/amc.2018025

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We generalize the code constructed recently by Wang et al, and obtain many classes of codes with a few weights. The weight distribution of these codes is completely determined, and the minimum distance of the duals of these codes is determined. We also show that some subclasses of the duals of these codes are optimal. Furthermore, some parameters of the generalized Hamming weight of these codes are calculated in certain cases.

引用

页码：415 / 428

页数：14

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