Weight Distributions of a Class of Linear Codes

被引：1

作者：

Zhang, Xina ^{[1
]}

Du, Xiaoni ^{[1
]}

Wang, Rong ^{[1
]}

Zhang, Fujun ^{[1
]}

机构：

[1] Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China

来源：

2019 NINTH INTERNATIONAL WORKSHOP ON SIGNAL DESIGN AND ITS APPLICATIONS IN COMMUNICATIONS (IWSDA) | 2019年

基金：

中国国家自然科学基金;

关键词：

linear codes; Gauss sums; weight distributions;

D O I：

10.1109/iwsda46143.2019.8966123

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Linear codes with a few weights have many applications in secret sharing schemes, authentication codes, association schemes and strongly regular graphs, and they are also of importance in consumer electronics, communications and data storage systems. In this literature, based on the theory of defining sets, we present a class of five-weight linear codes over F-p(p is an odd prime). Then, we use exponential sums to determine its weight distributions.

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