A q-polynomial approach to constacyclic codes

被引：18
作者：
Fang, Weijun [1 ]
Wen, Jiejing
Fu, Fang-Wei
机构：
[1] Nankai Univ, Chern Inst Math, Tianjin 900071, Peoples R China
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2017年 / 47卷
基金：
中国国家自然科学基金;
关键词：
q-Polynomials; Linear codes; Constacyclic codes; Optimal codes; QUASI-TWISTED CODES;
D O I：
10.1016/j.ffa.2017.06.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
As a generalization of cyclic codes, constacyclic codes is an important and interesting class of codes due to their nice algebraic structures and various applications in engineering. This paper is devoted to the study of the q-polynomial approach to constacyclic codes. Fundamental theory of this approach will be developed, and will be employed to construct some families of optimal and almost optimal codes in this paper. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：161 / 182
页数：22
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