CONSTACYCLIC CODES OF LENGTH 8ps OVER Fpm + uFpm

被引：2
|
作者：
Dinh, H. A. I. Q. [1 ,2 ]
Nguyen, B. A. C. T. [3 ]
Maneejuk, Paravee [4 ]
机构：
[1] Ton Duc Thang Univ, Inst Computat Sci, Div Computat Math & Engn, Ho Chi Minh City, Vietnam
[2] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam
[3] Thai Nguyen Univ Econ & Business Adm, Thai Nguyen, Vietnam
[4] Chiang Mai Univ, Fac Econ, Ctr Excellence Econometr, Chiang Mai, Thailand
来源：
ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2022年 / 16卷 / 03期
关键词：
Constacyclic codes; negacyclic codes; cyclic codes; dual codes; repeated-root codes; chain rings; local rings; NEGACYCLIC CODES; CYCLIC CODES; EXPLICIT REPRESENTATION; Z(4); ENUMERATION; 2P(S); 4P(S);
D O I：
10.3934/amc.2020123
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
For any odd prime p, the structures and duals of lambda-constacyclic codes of length 8p(s) over R = F-pm + uF(pm) are completely determined for all unit lambda of the form lambda = xi(l) is an element of F-pm , where l is even. In addition, the algebraic structures of all cyclic and negacyclic codes of length 8p(s) over R are established in term of their generator polynomials. Dual codes of all cyclic and negacyclic codes of length 8p(s) over R are also investigated. Furthermore, we give the number of codewords in each of those cyclic and negacyclic codes. We also obtain the number of cyclic and negacyclic codes of length 8p(s) over R.
引用
收藏
页码：525 / 570
页数：46
相关论文
共 50 条
  • [11] On (α plus uβ)-constacyclic codes of length 4ps over Fpm + uFpm
    Dinh, Hai Q.
    Nguyen, Bac T.
    Sriboonchitta, Songsak
    Vo, Thang M.
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2019, 18 (02)
  • [12] Classes of constacyclic codes of length ps over the ring Fpm + uFpm + vFpm + uvFpm
    Bag, Tushar
    Pathak, Sachin
    Upadhyay, Ashish K.
    BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY, 2019, 60 (04): : 693 - 707
  • [13] Construction of Repeated-Root Constacyclic Code of Length 8ps over Fpm
    ZHANG Xiaoyan
    MAO Qili
    WuhanUniversityJournalofNaturalSciences, 2015, 20 (01) : 1 - 7
  • [14] All α plus μβ-constacyclic codes of length nps over Fpm + uFpm
    Zhao, Wei
    Tang, Xilin
    Gu, Ze
    FINITE FIELDS AND THEIR APPLICATIONS, 2018, 50 : 1 - 16
  • [15] Skew Cyclic Codes of Length ps over Fpm + uFpm
    Bagheri, Saeid
    Hesari, Roghayeh Mohammadi
    Rezaei, Hamed
    Samei, Karim
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2022, 46 (05): : 1469 - 1475
  • [16] Constacyclic Codes of Length 3ps Over Fpm + uFpm and Their Application in Various Distance Distributions
    Dinh, Hai Q.
    Nguyen, Bac Trong
    Yamaka, Woraphon
    IEEE ACCESS, 2020, 8 : 204031 - 204056
  • [17] Repeated-root constacyclic codes of length 2ps over Fpm + uFpm + u2Fpm
    Sriwirach, Wateekorn
    Klin-eam, Chakkrid
    CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2021, 13 (01): : 27 - 52
  • [18] Skew constacyclic codes of lengths ps and 2ps over Fpm plus uFpm
    Hesari, Roghayeh Mohammadi
    Samei, Karim
    FINITE FIELDS AND THEIR APPLICATIONS, 2023, 91
  • [19] Hamming distance of repeated-root constacyclic codes of length 2ps over Fpm + uFpm
    Dinh, Hai Q.
    Gaur, A.
    Gupta, Indivar
    Singh, Abhay K.
    Singh, Manoj Kumar
    Tansuchat, Roengchai
    APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2020, 31 (3-4) : 291 - 305
  • [20] Negacyclic codes of length 2ps over Fpm + uFpm
    Dinh, Hai Quang
    Wang, Liqi
    Zhu, Shixin
    FINITE FIELDS AND THEIR APPLICATIONS, 2015, 31 : 178 - 201
12345