Quantum codes from Hermitian dual-containing constacyclic codes over Fq2 + vFq2

被引:0
|
作者
Wang, Yu [1 ]
Kai, Xiaoshan [2 ]
Sun, Zhonghua [2 ]
Zhu, Shixin [2 ]
机构
[1] Hefei Univ, Sch Artificial Intelligence & Big Data, Hefei 230601, Anhui, Peoples R China
[2] Hefei Univ Technol, Sch Math, Hefei 230009, Anhui, Peoples R China
基金
中国国家自然科学基金;
关键词
Quantum codes; Constacyclic codes; Hermitian dual-containing; Gray map; CYCLIC CODES; CONSTRUCTION;
D O I
10.1007/s11128-021-03052-w
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Let R be the finite non-chain ring F-q2 + VFq2, where v(2) = v and q is an odd prime power. In this paper, we study quantum codes over F-q from constacyclic codes over R. We define a class of Gray maps, which preserves the Hermitian dual-containing property of linear codes from R to F-q2. We study alpha(1 - 2v)-constacyclic codes over R, and show that the images of alpha(1 - 2v)-constacyclic codes over R under the special Gray map are alpha(2)-constacyclic codes over Fe . Some new non-binary quantum codes are obtained via the Gray map and the Hermitian construction from Hermitian dualcontaining alpha(1 - 2v)-constacyclic codes over R.
引用
收藏
页数:17
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