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
  • [21] New quantum codes from constacyclic codes over a non-chain ring
    Alahmadi, Adel
    Islam, Habibul
    Prakash, Om
    Sole, Patrick
    Alkenani, Ahmad
    Muthana, Najat
    Hijazi, Rola
    QUANTUM INFORMATION PROCESSING, 2021, 20 (02)
  • [22] Quantum Codes Obtained from Constacyclic Codes
    Islam, Habibul
    Prakash, Om
    Bhunia, Dipak Kumar
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2019, 58 (11) : 3945 - 3951
  • [23] Quantum codes from Hermitian dual-containing constacyclic codes over Fq2 + vFq2
    Wang, Yu
    Kai, Xiaoshan
    Sun, Zhonghua
    Zhu, Shixin
    QUANTUM INFORMATION PROCESSING, 2021, 20 (03)
  • [24] Some New Quantum Codes from Constacyclic BCH Codes
    Li, Ping
    Wei, Yancong
    Kai, Xiaoshan
    Li, Jin
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2025, 64 (02)
  • [25] New quantum codes from constacyclic codes over finite chain rings
    Tang, Yongsheng
    Yao, Ting
    Xu, Heqian
    Kai, Xiaoshan
    QUANTUM INFORMATION PROCESSING, 2024, 23 (09)
  • [26] New quantum MDS codes derived from constacyclic codes
    Liqi Wang
    Shixin Zhu
    Quantum Information Processing, 2015, 14 : 881 - 889
  • [27] New quantum MDS codes derived from constacyclic codes
    Wang, Liqi
    Zhu, Shixin
    QUANTUM INFORMATION PROCESSING, 2015, 14 (03) : 881 - 889
  • [28] Quantum codes from (1 - 2v)-constacyclic codes over the ring F-q
    Li, Juan
    Gao, Jian
    Wang, Yongkang
    DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2018, 10 (04)
  • [29] Quantum and LCD codes from skew constacyclic codes over a general class of non-chain rings
    Rai, Pradeep
    Singh, Bhupendra
    Gupta, Ashok Ji
    QUANTUM INFORMATION PROCESSING, 2024, 23 (07)
  • [30] The images of constacyclic codes and new quantum codes
    Kai, Xiaoshan
    Zhu, Shixin
    Sun, Zhonghua
    QUANTUM INFORMATION PROCESSING, 2020, 19 (07)
12345