Some Properties of Free Cyclic Codes over Finite Chain Rings

被引：0
|
作者：
Sabiri, Mohammed [1 ]
Bensalih, Youssef [1 ]
Elbour, Aziz [1 ]
机构：
[1] Fac Sci & Technol, PB 509, Boutalamine 52000, Errachidia, Morocco
来源：
3RD INTERNATIONAL CONFERENCE ON NETWORKING, INFORMATION SYSTEM & SECURITY (NISS'20) | 2020年
关键词：
Cyclic codes; Indecomposable codes; Free codes; SPI Rings;
D O I：
10.1145/3386723.3387856
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Free codes are investigated. It is illustrated that every free cyclic has some important proprieties and the minimal distance of every code depends upon its associated direct component.
引用
收藏
页数：11
相关论文
共 50 条
  • [1] Cyclic and negacyclic codes over finite chain rings
    Dinh, HQ
    López-Permouth, SR
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2004, 50 (08) : 1728 - 1744
  • [2] On the lattice of cyclic codes over finite chain rings
    Fotue-Tabue, Alexandre
    Mouaha, Christophe
    [J]. ALGEBRA AND DISCRETE MATHEMATICS, 2019, 27 (02): : 252 - 268
  • [3] Constacyclic and cyclic codes over finite chain rings
    QIAN Jian-fa
    [J]. The Journal of China Universities of Posts and Telecommunications, 2009, 16 (03) : 122 - 125
  • [4] Contraction of cyclic codes over finite chain rings
    Tabue, Alexandre Fotue
    Mouaha, Christophe
    [J]. DISCRETE MATHEMATICS, 2018, 341 (06) : 1722 - 1731
  • [5] On Isodual Cyclic Codes over Finite Chain Rings
    Batoul, Aicha
    Guenda, Kenza
    Gulliver, T. Aaron
    Aydin, Nuh
    [J]. CODES, CRYPTOLOGY AND INFORMATION SECURITY, C2SI 2017, 2017, 10194 : 176 - 194
  • [6] SOME CONSTACYCLIC CODES OVER FINITE CHAIN RINGS
    Batoul, Aicha
    Guenda, Kenza
    Gulliver, T. Aaron
    [J]. ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2016, 10 (04) : 683 - 694
  • [7] Additive cyclic codes over finite commutative chain rings
    Martinez-Moro, Edgar
    Otal, Kamil
    Ozbudak, Ferruh
    [J]. DISCRETE MATHEMATICS, 2018, 341 (07) : 1873 - 1884
  • [8] On the Structure of Cyclic and Negacyclic Codes over Finite Chain Rings
    Dinh, Hai Q.
    Lopez-Permouth, Sergio R.
    Szabo, Steve
    [J]. CODES OVER RINGS, 2009, 6 : 22 - +
  • [9] MDS and MHDR Cyclic Codes over Finite Chain Rings
    Dalal, Monika
    Dutt, Sucheta
    Sehmi, Ranjeet
    [J]. JOURNAL OF MATHEMATICS, 2024, 2024
  • [10] On the Gray image of cyclic codes over finite chain rings
    Qian, Jianfa
    Ma, Wenping
    Wang, Xinmei
    [J]. IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2008, E91A (09) : 2685 - 2687
12345