THE RANKS OF CYCLIC AND NEGACYCLIC CODES OVER THE FINITE RING R

被引：12
|
作者：
Zhu Shixin* Shi Minjia* ** *(Department of Applied Mathematics
机构：
来源：
JournalofElectronics(China) | 2008年 / 01期
关键词：
Cyclic code; Rank; Minimal generating set;
D O I：
暂无
中图分类号：
TN911.2 [信息论];
学科分类号：
070104 ; 081101 ;
摘要：
The ranks of cyclic and negacyclic codes over the finite chain ring R as well as their minimal generating sets are defined, and then the expression forms we presented by studying the structures of cyclic and negacyclic codes over the finite chain ring R. Through the paper, it is assumed that the length of codes n can not be divided by the characteristic of R.
引用
收藏
页码：97 / 101
页数：5
相关论文
共 50 条
  • [21] The Average Hull Dimension of Negacyclic Codes over Finite Fields
    Jitman, Somphong
    Sangwisut, Ekkasit
    MATHEMATICAL AND COMPUTATIONAL APPLICATIONS, 2018, 23 (03)
  • [22] On the Structure of Linear and Cyclic Codes over a Finite Chain Ring
    Graham H. Norton
    Ana Sălăgean
    Applicable Algebra in Engineering, Communication and Computing, 2000, 10 : 489 - 506
  • [23] Hulls of cyclic serial codes over a finite chain ring
    Talbi, Sarra
    Batoul, Aicha
    Tabue, Alexandre Fotue
    Martinez-Moro, Edgar
    FINITE FIELDS AND THEIR APPLICATIONS, 2022, 77
  • [24] On the structure of linear and cyclic codes over a finite chain ring
    Norton, GH
    Salagean, A
    APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2000, 10 (06) : 489 - 506
  • [25] On cyclic and negacyclic codes of length 8l(m)p(n) over finite field
    Rani, Saroj
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2018, 11 (05)
  • [26] Quantum Codes From Cyclic Codes Over The Ring R2
    Altinel, Alev
    Guzeltepe, Murat
    INTERNATIONAL CONFERENCE ON QUANTUM SCIENCE AND APPLICATIONS (ICQSA-2016), 2016, 766
  • [27] Quantum Codes From Negacyclic Codes over Group Ring (Fq + vFq)G
    Koroglu, Mehmet E.
    Siap, Irfan
    INTERNATIONAL CONFERENCE ON QUANTUM SCIENCE AND APPLICATIONS (ICQSA-2016), 2016, 766
  • [28] On rank and MDR cyclic and negacyclic codes of length pk over Zpm
    Garg, Arpana
    Dutt, Sucheta
    DISCRETE APPLIED MATHEMATICS, 2020, 285 : 581 - 590
  • [29] Cyclic codes over a non-commutative finite chain ring
    R. Sobhani
    Cryptography and Communications, 2018, 10 : 519 - 530
  • [30] Two-dimensional cyclic codes over a finite chain ring
    Garg, Disha
    Dutt, Sucheta
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2024, 32 (03): : 75 - 88
12345