NEW QUANTUM CODES DERIVED FROM THE IMAGE OF CONSTACYCLIC CODES

被引:0
|
作者
Wang, Liqi [1 ]
Zheng, Xiujing [1 ]
Zhu, Shixin [1 ]
机构
[1] School of Mathematics, Hefei University of Technology, Anhui, Hefei,230601, China
来源
Quantum Information and Computation | 2023年 / 23卷 / 1-2期
基金
中国国家自然科学基金;
关键词
Codes; (symbols);
D O I
10.26421/QIC23.1-2-1
中图分类号
学科分类号
摘要
Assume that q is a prime power and m ≥ 2 is a positive integer. Cyclic codes over Fq2m of length n =q2m−1 with ρ | (q − 1), and constacyclic codes over Fρq2m of length n =q2m−1 with ρ | (q + 1) are considered in this paper, respectively. Two classes of ρ quantum codes are derived from the images of these codes by the Hermitian construction. Compared with the previously known quantum codes, the quantum codes in our scheme have better parameters. © Rinton Press.
引用
收藏
页码:1 / 15
相关论文
共 50 条
  • [1] NEW QUANTUM CODES DERIVED FROM THE IMAGE OF CONSTACYCLIC CODES
    Wang, Liqi
    Zheng, Xiujing
    Zhu, Shixin
    [J]. QUANTUM INFORMATION & COMPUTATION, 2023, 23 (1-2) : 1 - +
  • [2] New quantum MDS codes derived from constacyclic codes
    Liqi Wang
    Shixin Zhu
    [J]. Quantum Information Processing, 2015, 14 : 881 - 889
  • [3] New quantum MDS codes derived from constacyclic codes
    Wang, Liqi
    Zhu, Shixin
    [J]. QUANTUM INFORMATION PROCESSING, 2015, 14 (03) : 881 - 889
  • [4] New optimal asymmetric quantum codes and quantum convolutional codes derived from constacyclic codes
    Chen, Jianzhang
    Chen, Youqin
    Huang, Yuanyuan
    Feng, Chunhui
    [J]. QUANTUM INFORMATION PROCESSING, 2019, 18 (02)
  • [5] New quantum codes from constacyclic and additive constacyclic codes
    Islam, Habibul
    Prakash, Om
    [J]. QUANTUM INFORMATION PROCESSING, 2020, 19 (09)
  • [6] Construction of new quantum MDS codes derived from constacyclic codes
    Taneja, Divya
    Gupta, Manish
    Narula, Rajesh
    Bhullar, Jaskaran
    [J]. INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2017, 15 (01)
  • [7] New optimal asymmetric quantum codes and quantum convolutional codes derived from constacyclic codes
    Jianzhang Chen
    Youqin Chen
    Yuanyuan Huang
    Chunhui Feng
    [J]. Quantum Information Processing, 2019, 18
  • [8] New quantum codes from constacyclic and additive constacyclic codes
    Habibul Islam
    Om Prakash
    [J]. Quantum Information Processing, 2020, 19
  • [9] Quantum convolutional codes derived from constacyclic codes
    Yan, Tingsu
    Huang, Xinmei
    Tang, Yuansheng
    [J]. MODERN PHYSICS LETTERS B, 2014, 28 (31):
  • [10] New quantum MDS-convolutional codes derived from constacyclic codes
    Li, Fengwei
    Yue, Qin
    [J]. MODERN PHYSICS LETTERS B, 2015, 29