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
相关论文
共 50 条
  • [1] Repeated-Root Constacyclic Codes of Length klps
    Liu, Yan
    Shi, Minjia
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2020, 43 (02) : 2009 - 2027
  • [2] Repeated-root constacyclic codes of length ℓtps and their dual codes
    Anuradha Sharma
    Cryptography and Communications, 2015, 7 : 229 - 255
  • [3] Repeated-Root Constacyclic Codes of Prime Power Length
    Dinh, Hai Q.
    RINGS, MODULES AND REPRESENTATIONS, 2009, 480 : 87 - 100
  • [4] Repeated-root constacyclic codes of length lps and their duals
    Chen, Bocong
    Dinh, Hai Q.
    Liu, Hongwei
    DISCRETE APPLIED MATHEMATICS, 2014, 177 : 60 - 70
  • [5] Repeated-root constacyclic codes of length lt ps and their dual codes
    Sharma, Anuradha
    CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2015, 7 (02): : 229 - 255
  • [6] Repeated-root constacyclic codes of length 4lmpn
    Sharma, Anuradha
    Rani, Saroj
    FINITE FIELDS AND THEIR APPLICATIONS, 2016, 40 : 163 - 200
  • [7] REPEATED-ROOT CONSTACYCLIC CODES OF LENGTH 3lmps
    Liu, Yan
    Shi, Minjia
    Dinh, Hai Q.
    Sriboonchitta, Songsak
    ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2020, 14 (02) : 359 - 378
  • [8] REPEATED-ROOT CONSTACYCLIC CODES OF LENGTH 6lmpn
    Wu, T. I. N. G. T. I. N. G.
    Zhu, S. H. I. X. I. N.
    Liu, L., I
    LI, L. A. N. Q. I. A. N. G.
    ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2023, 17 (05) : 1154 - 1180
  • [9] Repeated-root constacyclic codes of length 2lmpn
    Chen, Bocong
    Dinh, Hai Q.
    Liu, Hongwei
    FINITE FIELDS AND THEIR APPLICATIONS, 2015, 33 : 137 - 159
  • [10] Repeated-root constacyclic codes of length 2ps
    Dinh, Hai Q.
    FINITE FIELDS AND THEIR APPLICATIONS, 2012, 18 (01) : 133 - 143
12345