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.
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页数：16
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