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
  • [41] New optimal asymmetric quantum codes constructed from constacyclic codes
    Xu, Gen
    Li, Ruihu
    Guo, Luobin
    Lu, Liangdong
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2017, 31 (05):
  • [42] Some families of optimal quantum codes derived from constacyclic codes
    Chen, Jianzhang
    Huang, Yuanyuan
    Feng, Chunhui
    Chen, Riqing
    LINEAR & MULTILINEAR ALGEBRA, 2019, 67 (04): : 725 - 742
  • [43] On the construction of quantum constacyclic codes
    Jian Yuan
    Shixin Zhu
    Xiaoshan Kai
    Ping Li
    Designs, Codes and Cryptography, 2017, 85 : 179 - 190
  • [44] Quantum codes from skew constacyclic codes over Fpm + vFpm + v2Fpm
    Verma, Ram Krishna
    Prakash, Om
    Singh, Ashutosh
    PROCEEDINGS OF THE 2020 SEVENTEENTH INTERNATIONAL WORKSHOP ON ALGEBRAIC AND COMBINATORIAL CODING THEORY ALGEBRAIC AND COMBINATORIAL CODING THEORY (ACCT 2020): PROCEEDINGS OF THE SEVENTEENTH INTERNATIONAL WORKSHOP ON ALGEBRAIC AND COMBINATORIAL CODING THEORY ACCT 2020, 2020, : 156 - 161
  • [45] New quantum constacyclic codes
    Ruihu Li
    Junli Wang
    Yang Liu
    Guanmin Guo
    Quantum Information Processing, 2019, 18
  • [46] Some New Classes of Quantum MDS Codes From Constacyclic Codes
    Zhang, Tao
    Ge, Gennian
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2015, 61 (09) : 5224 - 5228
  • [47] Construction of new quantum MDS codes derived from constacyclic codes
    Taneja, Divya
    Gupta, Manish
    Narula, Rajesh
    Bhullar, Jaskaran
    INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2017, 15 (01)
  • [48] New quantum constacyclic codes
    Li, Ruihu
    Wang, Junli
    Liu, Yang
    Guo, Guanmin
    QUANTUM INFORMATION PROCESSING, 2019, 18 (05)
  • [49] Quantum cyclic and constacyclic codes
    Lin, XY
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2004, 50 (03) : 547 - 549
  • [50] Quantum and LCD codes from skew constacyclic codes over a finite non-chain ring
    Prakash, Om
    Verma, Ram Krishna
    Singh, Ashutosh
    QUANTUM INFORMATION PROCESSING, 2023, 22 (05)
12345