Repeated-root constacyclic codes of length nlps

被引：4
|
作者：
Liu, Li [1 ]
Li, Lanqiang [1 ]
Wang, Liqi [1 ]
Zhu, Shixin [1 ]
机构：
[1] Hefei Univ Technol, Sch Math, Hefei 230009, Anhui, Peoples R China
来源：
DISCRETE MATHEMATICS | 2017年 / 340卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Finite field; Repeated-root constacyclic codes; Cyclic codes; Dual codes; Generator polynomial; CYCLIC CODES; FINITE-FIELDS; DUAL CODES;
D O I：
10.1016/j.disc.2017.04.018
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we explicitly determine the generator polynomials of all repeated-root constacyclic codes of length nlp(s) over F-q and their dual codes, where l is an odd prime different from p, and n is an odd prime different from both l and p such that n = 2h + 1 for some prime h or h = 1. Moreover, we give all self-dual cyclic codes of length nlp(s) over F-q and their enumeration. All linear complementary dual (LCD) cyclic codes of length nlp(s) over F-q and their enumeration are also obtained. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码：2250 / 2261
页数：12
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