On codes over product of finite chain rings

被引：2
|
作者：
Bajalan, Maryam [1 ]
Rezaei, Rashid [1 ]
Samei, Karim [2 ]
机构：
[1] Malayer Univ, Dept Math, Malayer 65719, Iran
[2] Bu Ali Sina Univ, Dept Math, Hamadan 65175, Iran
来源：
SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI | 2023年 / 41卷 / 01期
关键词：
MDS Codes; Self-Dual Codes; Chain Rings; CYCLIC CODES;
D O I：
10.14744/sigma.2023.00014
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, codes over the direct product of two finite commutative chain rings are studied. The standard form of the parity-check matrix is determined. The structure of self-dual codes is described. A distance preserving Gray map from the direct product of chain rings to a finite field is defined. Two upper bounds on minimum distance are obtained.
引用
收藏
页码：143 / 153
页数：11
相关论文
共 50 条
  • [1] Matrix-product codes over finite chain rings
    Bram van Asch
    Applicable Algebra in Engineering, Communication and Computing, 2008, 19 : 39 - 49
  • [2] Matrix-product codes over finite chain rings
    van Asch, Bram
    APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2008, 19 (01) : 39 - 49
  • [3] Linear and cyclic codes over direct product of finite chain rings
    Borges, J.
    Fernandez-Cordoba, C.
    Ten-Valls, R.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (16) : 6519 - 6529
  • [4] ON LCD CODES OVER FINITE CHAIN RINGS
    Durgun, Yilmaz
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2020, 57 (01) : 37 - 50
  • [5] On the Density of Codes over Finite Chain Rings
    Horlemann, Anna-Lena
    Weger, Violetta
    Willenborg, Nadja
    2023 IEEE INFORMATION THEORY WORKSHOP, ITW, 2023, : 1 - 6
  • [6] LCD codes over finite chain rings
    Liu, Xiusheng
    Liu, Hualu
    FINITE FIELDS AND THEIR APPLICATIONS, 2015, 34 : 1 - 19
  • [7] On constacyclic codes over finite chain rings
    Cao, Yonglin
    FINITE FIELDS AND THEIR APPLICATIONS, 2013, 24 : 124 - 135
  • [8] σ-LCD codes over finite chain rings
    Liu, Xiusheng
    Liu, Hualu
    DESIGNS CODES AND CRYPTOGRAPHY, 2020, 88 (04) : 727 - 746
  • [9] Linear Codes over Finite Chain Rings
    Liu, Hongwei
    ARS COMBINATORIA, 2010, 95 : 511 - 529
  • [10] Multivariable codes over finite chain rings:: Serial codes
    Martinez-Moro, E.
    Rua, I. F.
    SIAM JOURNAL ON DISCRETE MATHEMATICS, 2006, 20 (04) : 947 - 959
12345