Weight distributions of generalized quasi-cyclic codes over Fq plus uFq

被引：4
|
作者：
Gao, Jian [1 ]
Meng, Xiangrui [1 ]
Fu, Fang-Wei [2 ,3 ]
机构：
[1] Shandong Univ Technol, Sch Math & Stat, Zibo 255091, Peoples R China
[2] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China
[3] Nankai Univ, LPMC, Tianjin 300071, Peoples R China
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2023年 / 88卷
基金：
中国国家自然科学基金;
关键词：
Generalized quasi-cyclic codes; Weight distributions; Minimal linear codes; Projective two-weight codes; MINIMAL LINEAR CODES; CONSTRUCTION; 2-WEIGHT; SETS;
D O I：
10.1016/j.ffa.2023.102181
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, by Gauss sums, we determine Hamming weight distributions of generalized quasi-cyclic (GQC) codes over the finite chain ring Fq+uFq, where u2 = 0. As applications, some new infinite families of minimal linear codes with Wmin Wmax <= q-1 q and projective two-weight codes are constructed.(c) 2023 Elsevier Inc. All rights reserved.
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页数：42
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