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
  • [1] On the duality of cyclic codes of length ps over Fpm[u]/⟨u3⟩
    Erfanian, Ahmad
    Hesari, Roghaye Mohammadi
    FINITE FIELDS AND THEIR APPLICATIONS, 2024, 99
  • [2] 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
  • [3] The cyclic codes of length 5ps over Fpm + uFpm and their dual codes
    BOUDINE, B. R. A. H. I. M.
    LAAOUINE, J. A. M. A. L.
    CHARKANI, M. O. H. A. M. M. E. D. E. L. H. A. S. S. A. N. I.
    MATHEMATICAL COMMUNICATIONS, 2022, 27 (01) : 127 - 135
  • [4] CYCLIC AND NEGACYCLIC CODES OF LENGTH 2ps OVER Fpm + uFpm
    Liu, Xiusheng
    Xu, Xiaofang
    ACTA MATHEMATICA SCIENTIA, 2014, 34 (03) : 829 - 839
  • [5] Cyclic and negacyclic codes of length 4ps over Fpm + uFpm
    Dinh, Hai Q.
    Sharma, Anuradha
    Rani, Saroj
    Sriboonchitta, Songsak
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2018, 17 (09)
  • [6] On cyclic codes of length 8ps over Fpm + uFpm 3
    Rani, Saroj
    THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019), 2019, 2183
  • [7] Cyclic codes of length 5ps over Fpm + uFpm and their duals
    Dinh, Hai Q.
    Nguyen, Bac T.
    Tansuchat, Roengchai
    Thi, Hiep L.
    FILOMAT, 2023, 37 (26) : 9009 - 9038
  • [8] Hamming Distance of Constacyclic Codes of Length ps Over Fpm+uFpm+u2Fpm
    Dinh, Hai Q.
    Laaouine, Jamal
    Charkani, Mohammed E.
    Chinnakum, Warattaya
    IEEE ACCESS, 2021, 9 : 141064 - 141078
  • [9] Constacyclic codes of length ps over Fpm + uFpm
    Dinh, Hai Q.
    JOURNAL OF ALGEBRA, 2010, 324 (05) : 940 - 950
  • [10] Explicit constructions of cyclic and negacyclic codes of length 3ps over Fpm
    Phuto, Jirayu
    Klin-Eam, Chakkrid
    DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2020, 12 (05)
12345