Complete weight enumerators of three classes of linear codes

被引：6
|
作者：
Luo, Gaojun [1 ]
Cao, Xiwang [1 ,2 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 211100, Jiangsu, Peoples R China
[2] Chinese Acad Sci, Inst Informat Engn, State Key Lab Informat Secur, Beijing 100093, Peoples R China
来源：
CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES | 2018年 / 10卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Linear code; Complete weight enumerator; Gauss sum; Authentication code; HAMMING WEIGHTS; CYCLIC CODES; CONSTRUCTION; 2-WEIGHT;
D O I：
10.1007/s12095-017-0270-5
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In recent years, a great deal of effort has been devoted to the study of linear codes with few weights, since they have applications in secret sharing, authentication codes, association schemes and some other fields. In this paper, we propose three classes of linear codes by using proper defining sets and investigate their complete weight enumerators. As applications, these linear codes are employed to construct secret sharing schemes with access structures and systematic authentication codes. Moreover, we obtain three classes of asymptotically optimal systematic authentication codes.
引用
收藏
页码：1091 / 1108
页数：18
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