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

来源：

QUANTUM INFORMATION PROCESSING | 2021年 / 20卷 / 03期

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

页数：17

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