Quantum codes from constacyclic codes over Sk

被引：0
|
作者：
Kong, Bo [1 ]
Zheng, Xiying [2 ]
机构：
[1] Henan Finance Univ, Sch Stat & Math, Zhengzhou 450046, Henan, Peoples R China
[2] Huanghe Sci & Technol Coll, Fac Engn, Zhengzhou 450063, Henan, Peoples R China
来源：
EPJ QUANTUM TECHNOLOGY | 2023年 / 10卷 / 01期
关键词：
Constacyclic codes; Quantum codes; Gray map; Dual-containing codes; CSS construction; CYCLIC CODES;
D O I：
10.1140/epjqt/s40507-023-00160-7
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Let Sk=Fq[u(1),u(2), ....,uk]/< u(i)(3)=u(i),u(i)u(j)=u(j)u(i)=0 >, where 1 <= i,j <= k, q=pm, p is an odd prime. First, we define two new Gray maps phi and phi k, and study their Gray images. Further, we determine the structure of constacyclic codes and their dual codes, and give a necessary and sufficient conditions of constacyclic codes to contain their duals. Finally, we obtain some new quantum codes over Fq by using CSS construction, and compare the constructed codes better than the existing literature.
引用
收藏
页数：16
相关论文
共 50 条
  • [31] New quantum MDS codes derived from constacyclic codes
    Wang, Liqi
    Zhu, Shixin
    QUANTUM INFORMATION PROCESSING, 2015, 14 (03) : 881 - 889
  • [32] New optimal asymmetric quantum codes and quantum convolutional codes derived from constacyclic codes
    Chen, Jianzhang
    Chen, Youqin
    Huang, Yuanyuan
    Feng, Chunhui
    QUANTUM INFORMATION PROCESSING, 2019, 18 (02)
  • [33] New quantum codes from constacyclic codes over a general non-chain ring
    Bhardwaj, Swati
    Goyal, Mokshi
    Raka, Madhu
    DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2024, 16 (06)
  • [34] The images of constacyclic codes and new quantum codes
    Kai, Xiaoshan
    Zhu, Shixin
    Sun, Zhonghua
    QUANTUM INFORMATION PROCESSING, 2020, 19 (07)
  • [35] The images of constacyclic codes and new quantum codes
    Xiaoshan Kai
    Shixin Zhu
    Zhonghua Sun
    Quantum Information Processing, 2020, 19
  • [36] New optimal asymmetric quantum codes and quantum convolutional codes derived from constacyclic codes
    Jianzhang Chen
    Youqin Chen
    Yuanyuan Huang
    Chunhui Feng
    Quantum Information Processing, 2019, 18
  • [37] Constacyclic codes over mixed alphabets and their applications in constructing new quantum codes
    Hai Q. Dinh
    Sachin Pathak
    Tushar Bag
    Ashish Kumar Upadhyay
    Woraphon Yamaka
    Quantum Information Processing, 2021, 20
  • [38] Application of Constacyclic Codes to Quantum MDS Codes
    Chen, Bocong
    Ling, San
    Zhang, Guanghui
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2015, 61 (03) : 1474 - 1484
  • [39] Constacyclic codes over mixed alphabets and their applications in constructing new quantum codes
    Dinh, Hai Q.
    Pathak, Sachin
    Bag, Tushar
    Upadhyay, Ashish Kumar
    Yamaka, Woraphon
    QUANTUM INFORMATION PROCESSING, 2021, 20 (04)
  • [40] Quantum codes obtained through constacyclic codes over Z3
    Singh, Jagbir
    Mor, Prateek
    Shikha
    Meena
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2021, 14 (03): : 1082 - 1097
12345