The Hamming Distances of Negacyclic Codes of Length 2s over GR(2a,m)

被引:0
|
作者
Shixin Zhu
Xiaoshan Kai
机构
[1] Hefei University of Technology,Department of Applied Mathematics
关键词
Gray map; Hamming distances; Hamming weights; negacyclic codes;
D O I
暂无
中图分类号
学科分类号
摘要
The Hamming distances of all negacyclic codes of length 2s over the Galois ring GR(2a,m) are given. In particular, the Lee distances of all negacyclic codes over Z4 of length 2s are obtained. The Gray images of such negacyclic codes over Z4 are also determined under the Gray map.
引用
收藏
页码:60 / 66
页数:6
相关论文
共 50 条
  • [21] A note on cyclic codes over GR(p2, m) of length pk
    Han Mao Kiah
    Ka Hin Leung
    San Ling
    Designs, Codes and Cryptography, 2012, 63 : 105 - 112
  • [22] A note on cyclic codes over GR(p2, m) of length pk
    Kiah, Han Mao
    Leung, Ka Hin
    Ling, San
    DESIGNS CODES AND CRYPTOGRAPHY, 2012, 63 (01) : 105 - 112
  • [23] A family of negacyclic BCH codes of length n=q2m-1 2
    Guo, Guanmin
    Li, Ruihu
    Liu, Yang
    Wang, Junli
    CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2020, 12 (02): : 187 - 203
  • [24] RT distances and Hamming distances of constacyclic codes of length 8ps over Fpm + uFpm
    Rani, Saroj
    Dinh, Hai Q.
    COMPUTATIONAL & APPLIED MATHEMATICS, 2022, 41 (04):
  • [25] Repeated-root constacyclic codes of length 2s over Z2α
    Dinh, Hai Q.
    ALGEBRA AND ITS APPLICATIONS, 2006, 419 : 95 - 110
  • [26] Negacyclic codes of length 2(k) over Z4+uZ(4)
    Bandi, Rama Krishna
    Bhaintwal, Maheshanand
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2017, 94 (03) : 454 - 470
  • [27] An explicit expression for Euclidean self-dual cyclic codes over F2m + uF2m of length 2s
    Cao, Yuan
    Cao, Yonglin
    Dinh, Hai Q.
    Wang, Guidong
    Sirisrisakulchai, Jirakom
    DISCRETE MATHEMATICS, 2021, 344 (05)
  • [28] An explicit representation and enumeration for self-dual cyclic codes over F2m + uF2m of length 2s
    Cao, Yuan
    Cao, Yonglin
    Dinh, Hai Q.
    Jitman, Somphong
    DISCRETE MATHEMATICS, 2019, 342 (07) : 2077 - 2091
  • [29] Lee distance of cyclic and (1+uγ)-constacyclic codes of length 2s over F2m + uF2m
    Hai Q Dinh
    Kewat, Pramod Kumar
    Mondal, Nilay Kumar
    DISCRETE MATHEMATICS, 2021, 344 (11)
  • [30] The minimum Hamming distances of the irreducible cyclic codes of length l(1)(m1) l(2)(m2) ... l(r)(mr)
    Pruthi, Manju
    Pankaj
    JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, 2016, 19 (5-6): : 965 - 995