(1 + uv)-cyclic codes over F2 + uF2 + vF2 + uvF2

被引：0
|
作者：
Yu, Hai-Feng [1 ]
Zhu, Shi-Xin [2 ]
Zhang, Xia [1 ]
机构：
[1] Department of Mathematics and Physics, Hefei University, Hefei 230601, China
[2] School of Mathematics, Hefei University of Technology, Hefei 230009, China
来源：
Dianzi Yu Xinxi Xuebao/Journal of Electronics and Information Technology | 2014年 / 36卷 / 06期
关键词：
Block codes;
D O I：
10.3724/SP.J.1146.2013.01339
中图分类号：
学科分类号：
摘要：
(1 + uv)-cyclic codes over F2 + uF2 + vF2 + uvF2 is defined, and the relations between (1 + uv)-cyclic codes and cyclic codes is discussed. It is proved that the binary image on isometric Gray map φhom of a (1 + uv)-cyclic code of length n over R is a linear quasi-cyclic code of index 4 and of length 8n. Furthermore, some optimal binary linear quasi-cyclic codes are obtained.
引用
收藏
页码：1419 / 1422
相关论文
共 50 条
  • [1] Cyclic codes over F2 + uF2 + vF2 + uvF2
    Yildiz, Bahattin
    Karadeniz, Suat
    DESIGNS CODES AND CRYPTOGRAPHY, 2011, 58 (03) : 221 - 234
  • [2] Linear codes over F2 + uF2 + vF2 + uvF2
    Yildiz, Bahattin
    Karadeniz, Suat
    DESIGNS CODES AND CRYPTOGRAPHY, 2010, 54 (01) : 61 - 81
  • [3] A family of constacyclic codes over F2 + uF2 + vF2 + uvF2
    Xiaoshan Kai
    Shixin Zhu
    Liqi Wang
    Journal of Systems Science and Complexity, 2012, 25 : 1032 - 1040
  • [4] (1+v)-Constacyclic codes over F2 + uF2 + vF2 + uvF2
    Karadeniz, Suat
    Yildiz, Bahattin
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2011, 348 (09): : 2625 - 2632
  • [5] Self-dual codes over F2 + uF2 + vF2 + uvF2
    Yildiz, Bahattin
    Karadeniz, Suat
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2010, 347 (10): : 1888 - 1894
  • [6] Bounds on Covering Radius of Some Codes Over F2 + uF2 + vF2 + uvF2
    Ma, Fanghui
    Gao, Jian
    IEEE ACCESS, 2021, 9 : 47668 - 47676
  • [7] Repeated-root constacyclic codes over F2 + uF2 + vF2 + uvF2
    Wang, Liqi
    Zhu, Shixin
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2018, 222 (10) : 2952 - 2963
  • [8] Cyclic DNA codes over the ring F2 + uF2 + vF2 + uvF2 + v2F2 + uv2F2
    Dinh, Hai Q.
    Singh, Abhay Kumar
    Pattanayak, Sukhamoy
    Sriboonchitta, Songsak
    DESIGNS CODES AND CRYPTOGRAPHY, 2018, 86 (07) : 1451 - 1467
  • [9] Cyclic codes over the ring F2 + uF2 + vF2
    Samei, Karim
    Alimoradi, Mohammad Reza
    COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37 (03): : 2489 - 2502
  • [10] Macwilliams identities of linear codes over the ring F2 + uF2 + vF2
    Xiusheng Liu
    Hualu Liu
    Journal of Systems Science and Complexity, 2015, 28 : 691 - 701
12345