FIVE-LEE-WEIGHT LINEAR CODES OVER F q + u F q

被引：0
|
作者：
Kumar, Payan [1 ,2 ]
Khan, Noor mohammad [1 ]
机构：
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, India
[2] Indian Inst Sci, Dept Elect Syst Engn, Bengaluru 560012, India
来源：
ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2025年
关键词：
Linear code; Gauss sum; Weight distribution; Complete weight enu- merator; Secret sharing scheme; COMPLETE WEIGHT ENUMERATORS; 3-WEIGHT CODES; CONSTRUCTION;
D O I：
10.3934/amc.2025002
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this study, linear codes having their Lee-weight distributions over the semi-local ring F q + uF q with u 2 = 1 are constructed using the defining set and Gauss sums for an odd prime q. Moreover, we derive complete Hamming-weight enumerators for the images of the constructed linear codes under the Gray map. We finally show an application to secret sharing schemes.
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页数：16
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