Dimensions of the hull of generalized Reed-Solomon codes

被引：0
|
作者：
Huang, Jing [1 ]
Liu, Jingge [2 ]
Yu, Dong [2 ]
机构：
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
[2] South China Univ Technol, Sch Math, Guangzhou 510641, Peoples R China
来源：
AIMS MATHEMATICS | 2024年 / 9卷 / 06期
基金：
中国国家自然科学基金;
关键词：
hull of a code; generalized Reed-Solomon code; algebraic geometry code;
D O I：
10.3934/math.2024661
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let GRSk(alpha, v) be a k -dimensional generalized Reed -Solomon (GRS) code over Fq associated with alpha = (alpha 1, ... , alpha n) and v = (upsilon 1, ... , upsilon n). In this paper, we determined the dimension of the Euclidean hull GRSk(alpha, v) boolean AND GRSk(alpha, v)', which addresses an open problem posed in [Chen et al., IEEE -TIT, 2023]. We also presentd a new approach to generating all self -dual RS codes.
引用
收藏
页码：13553 / 13569
页数：17
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