On generalized quasi-cyclic codes over Z4

被引：0
|
作者：
Meng, Xiangrui [1 ]
Gao, Jian [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：
DISCRETE MATHEMATICS | 2024年 / 347卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Generalized quasi-cyclic codes; Normalized generating sets; Minimal generating sets; STRUCTURAL-PROPERTIES; Z(4);
D O I：
10.1016/j.disc.2023.113821
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Based on good algebraic structures and practicabilities, generalized quasi-cyclic (GQC) codes play important roles in coding theory. In this paper, we study some results on GQC codes over Z4 including normalized generating sets, minimal generating sets and normalized generating sets of their dual codes. As an application, new Z4-linear codes and good binary nonlinear codes are constructed from GQC codes over Z4. (c) 2023 Elsevier B.V. All rights reserved.
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页数：15
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