A family of constacyclic codes over F2 + uF2 + vF2 + uvF2

被引：0
|
作者：
Xiaoshan Kai
Shixin Zhu
Liqi Wang
机构：
[1] Hefei University of Technology,School of Mathematics
[2] Southeast University,National Mobile Communications Research Laboratory
来源：
Journal of Systems Science and Complexity | 2012年 / 25卷
关键词：
Constacyclic code; generator polynomial; Gray distance; Gray map;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper studies (1 + u)-constacyclic codes over the ring F2 + uF2 + vF2 + uvF2. It is proved that the image of a (1+u)-constacyclic code of length n over F2+uF2+vF2+uvF2 under a Gray map is a distance invariant binary quasi-cyclic code of index 2 and length 4n. A set of generators of such constacyclic codes for an arbitrary length is determined. Some optimal binary codes are obtained directly from (1 + u)-constacyclic codes over F2 + uF2 + vF2 + uvF2.
引用
收藏
页码：1032 / 1040
页数：8
相关论文
共 50 条
  • [1] (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
  • [2] Repeated-root constacyclic codes over F2 + uF2 + vF2 + uvF2
    Wang, Liqi
    Zhu, Shixin
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2018, 222 (10) : 2952 - 2963
  • [3] Cyclic codes over F2 + uF2 + vF2 + uvF2
    Yildiz, Bahattin
    Karadeniz, Suat
    DESIGNS CODES AND CRYPTOGRAPHY, 2011, 58 (03) : 221 - 234
  • [4] Linear codes over F2 + uF2 + vF2 + uvF2
    Yildiz, Bahattin
    Karadeniz, Suat
    DESIGNS CODES AND CRYPTOGRAPHY, 2010, 54 (01) : 61 - 81
  • [5] (1 + uv)-cyclic codes over F2 + uF2 + vF2 + uvF2
    Yu, Hai-Feng
    Zhu, Shi-Xin
    Zhang, Xia
    Dianzi Yu Xinxi Xuebao/Journal of Electronics and Information Technology, 2014, 36 (06): : 1419 - 1422
  • [6] 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
  • [7] Bounds on Covering Radius of Some Codes Over F2 + uF2 + vF2 + uvF2
    Ma, Fanghui
    Gao, Jian
    IEEE ACCESS, 2021, 9 : 47668 - 47676
  • [8] Cyclic codes over the ring F2 + uF2 + vF2
    Samei, Karim
    Alimoradi, Mohammad Reza
    COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37 (03): : 2489 - 2502
  • [9] A family of constacyclic codes over F 2 + uF 2 + vF 2 + uvF 2
    Kai, Xiaoshan
    Zhu, Shixin
    Wang, Liqi
    JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2012, 25 (05) : 1032 - 1040
  • [10] 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
12345