CYCLIC CODES OF LENGTH ps OVER Fpm[u] ⟨ue⟩

被引：0
|
作者：
Hesari, Roghayeh Mohammadi [1 ]
Mohebbei, Masoumeh [1 ]
Rezaei, Rashid [1 ]
Samei, Karim [2 ]
机构：
[1] Malayer Univ, Dept Math, Malayer, Iran
[2] Bu Ali Sina Univ, Dept Math, Hamadan, Iran
来源：
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2024年 / 39卷 / 01期
关键词：
Key words and phrases. Chain ring; cyclic code; torsion code; ROOT CONSTACYCLIC CODES; NEGACYCLIC CODES;
D O I：
10.4134/CKMS.c230057
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
. Let Re = ⟨ue⟩ , where p is a prime number, e is a positive integer and ue = 0. In this paper, we first characterize the structure of cyclic codes of length ps over Re. These codes will be classified into 2e distinct types. Among other results, in the case that e = 4, the torsion codes of cyclic codes of length ps over R4 are obtained. Also, we present some examples of cyclic codes of length ps over Re.
引用
收藏
页码：31 / 43
页数：13
相关论文
共 50 条
  • [21] On constacyclic codes of length 9ps over Fpm and their optimal codes
    Dinh, Hai Q.
    Ha, Hieu V.
    Nguyen, Nhan T. V.
    Tran, Nghia T. H.
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024, 23 (08)
  • [22] Negacyclic codes of length 2ps over Fpm + uFpm
    Dinh, Hai Quang
    Wang, Liqi
    Zhu, Shixin
    FINITE FIELDS AND THEIR APPLICATIONS, 2015, 31 : 178 - 201
  • [23] 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
  • [24] Constructing and expressing Hermitian self-dual cyclic codes of length ps over Fpm + uFpm
    Cao, Yuan
    Cao, Yonglin
    Fu, Fang-Wei
    Ma, Fanghui
    APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2024, 35 (03) : 291 - 314
  • [25] An efficient method to construct self-dual cyclic codes of length ps over Fpm + uFpm
    Cao, Yuan
    Cao, Yonglin
    Dinh, Hai Q.
    Jitman, Somphong
    DISCRETE MATHEMATICS, 2020, 343 (06)
  • [26] Quantum Codes from Repeated-Root Cyclic and Negacyclic Codes of Length 4ps Over Fpm
    Rani, Saroj
    Verma, Ram Krishna
    Prakash, Om
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2021, 60 (04) : 1299 - 1327
  • [27] CONSTACYCLIC CODES OF LENGTH 8ps OVER Fpm + uFpm
    Dinh, H. A. I. Q.
    Nguyen, B. A. C. T.
    Maneejuk, Paravee
    ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2022, 16 (03) : 525 - 570
  • [28] Constacyclic codes of length 2ps over Fpm + uFpm
    Chen, Bocong
    Dinh, Hai Q.
    Liu, Hongwei
    Wang, Liqi
    FINITE FIELDS AND THEIR APPLICATIONS, 2016, 37 : 108 - 130
  • [29] On constacyclic codes of length 4ps over Fpm + uFpm
    Dinh, Hai Q.
    Dhompongsa, Sompong
    Sriboonchitta, Songsak
    DISCRETE MATHEMATICS, 2017, 340 (04) : 832 - 849
  • [30] NEGACYCLIC CODES OF LENGTH 8ps OVER Fpm + uFpm
    Klin-Eam, Chakkrid
    Phuto, Jirayu
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2019, 56 (06) : 1385 - 1422
12345