A family of constacyclic ternary quasi-perfect codes with covering radius 3

被引:9
|
作者
Danev, Danyo [1 ]
Dodunekov, Stefan [2 ]
Radkova, Diana [3 ]
机构
[1] Linkoping Univ, Dept Elect Engn, S-58183 Linkoping, Sweden
[2] Bulgarian Acad Sci, Inst Math & Informat, BU-1113 Sofia, Bulgaria
[3] Sofia Univ St Kl Ohridski, Fac Math & Informat, Dept Algebra, Sofia 1164, Bulgaria
关键词
Quasi-perfect codes; Constacyclic codes; Covering radius; Packing radius;
D O I
10.1007/s10623-010-9470-0
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper a family of constacyclic ternary quasi-perfect linear block codes is presented. This family extends the result presented in a previous work by the first two authors, where the existence of codes with the presented parameters was stated as an open question. The codes have a minimum distance 5 and covering radius 3.
引用
收藏
页码:111 / 118
页数:8
相关论文
共 50 条
  • [1] A family of constacyclic ternary quasi-perfect codes with covering radius 3
    Danyo Danev
    Stefan Dodunekov
    Diana Radkova
    [J]. Designs, Codes and Cryptography, 2011, 59 : 111 - 118
  • [2] A family of ternary quasi-perfect BCH codes
    Danev, Danyo
    Dodunekov, Stefan
    [J]. DESIGNS CODES AND CRYPTOGRAPHY, 2008, 49 (1-3) : 265 - 271
  • [3] A family of ternary quasi-perfect BCH codes
    Danyo Danev
    Stefan Dodunekov
    [J]. Designs, Codes and Cryptography, 2008, 49 : 265 - 271
  • [4] On the number of q-ary quasi-perfect codes with covering radius 2
    Alexander M. Romanov
    [J]. Designs, Codes and Cryptography, 2022, 90 : 1713 - 1719
  • [5] On the number of q-ary quasi-perfect codes with covering radius 2
    Romanov, Alexander M.
    [J]. DESIGNS CODES AND CRYPTOGRAPHY, 2022, 90 (08) : 1713 - 1719
  • [6] Binary and ternary linear quasi-perfect codes with small dimensions
    Baicheva, Tsonka
    Bouyukliev, Iliya
    Dodunekov, Stefan
    Fack, Veerle
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2008, 54 (09) : 4335 - 4339
  • [7] Quasi-Perfect Lee Codes of Radius 2 and Arbitrarily Large Dimension
    Camarero, Cristobal
    Martinez, Carmen
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2016, 62 (03) : 1183 - 1192
  • [8] Quasi-perfect codes in the lp metric
    Strapasson, Joao E.
    Jorge, Grasiele C.
    Campello, Antonio
    Costa, Sueli I. R.
    [J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37 (02): : 852 - 866
  • [9] Quasi-perfect codes with small distance
    Etzion, T
    Mounits, B
    [J]. 2004 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, PROCEEDINGS, 2004, : 453 - 453
  • [10] Quasi-perfect codes with small distance
    Etzion, T
    Mounits, B
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2005, 51 (11) : 3938 - 3946