THE WEIGHT DISTRIBUTIONS OF SEVERAL CLASSES OF FEW-WEIGHT LINEAR CODES

被引：0
|
作者：
Sun, Huan [1 ,2 ]
Yue, Qin [1 ,2 ]
Jia, Xue [1 ,2 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Sch Math, Nanjing 211100, Peoples R China
[2] State Key Lab Cryptol, POB 5159, Beijing 100878, Peoples R China
来源：
ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2023年
基金：
中国国家自然科学基金;
关键词：
Linear code; weight distribution; Gauss periods; MDS code; 3-WEIGHT CODES; CYCLIC CODES; 2-WEIGHT; CONSTRUCTION;
D O I：
10.3934/amc.2023037
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In data storage systems, authentication codes, association schemes, and some other fields, linear codes with few weights play an important role. In this paper, we construct six classes of few weights linear codes over Fq and use Gauss periods in the semi-primitive case to determine their weight distributions. There are some linear codes with few weights whose duals are almost Maximum Distance Separable (AMDS) codes and some Maximum Distance Separable (MDS) codes.
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页数：22
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