On the construction of quantum constacyclic codes

被引：22
|
作者：
Yuan, Jian [1 ,2 ]
Zhu, Shixin [1 ,2 ]
Kai, Xiaoshan [1 ,2 ]
Li, Ping [1 ,2 ]
机构：
[1] Hefei Univ Technol, Sch Math, Hefei 230009, Anhui, Peoples R China
[2] Southeast Univ, Natl Mobile Commun Res Lab, Nanjing 210096, Jiangsu, Peoples R China
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2017年 / 85卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Quantum codes; Constacyclic codes; Cyclotomic cosets; Hermitian construction; BCH CODES; MDS CODES; STABILIZER CODES; TWISTED CODES;
D O I：
10.1007/s10623-016-0296-2
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Let q be a prime power and m >= 2 an integer. In this paper, based on classical q(2)-ary constacyclic codes, we apply the Hermitian construction to obtain several classes of q-ary quantum stabilizer codes of length (q(2m)-1)/(q+1). These quantum codes have parameters better than those obtained from classical BCH codes.
引用
收藏
页码：179 / 190
页数：12
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