SEVERAL CLASSES OF NEW PROJECTIVE THREE-WEIGHT OR FOUR-WEIGHT LINEAR CODES AND THEIR APPLICATIONS IN s-SUM SETS

被引：0
作者：
Zhu, Canze [1 ]
Liao, Qunying [1 ]
机构：
[1] Sichuan Normal Univ, Coll Math Sci, Chengdu 610066, Sichuan, Peoples R China
来源：
ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2024年 / 18卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Projective three-weight linear codes; weight distributions; additive character sums; secret sharing schemes; s-sum sets; 3; WEIGHTS; 2-WEIGHT; CONSTRUCTION;
D O I：
10.3934/amc.2023013
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, let q be a power of a prime, we construct several classes of new projective three-weight or four-weight linear codes over Fq from the defining sets construction, and determine their weight distributions by using additive character sums. Especially, these codes are suitable for ap-plications in secret sharing schemes. Furthermore, basing on two classes of projective three-weight codes, we construct some s-sum sets for any odd s >1.
引用
收藏
页码：1662 / 1680
页数：19
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