On a Family of Quantum Synchronizable Codes Based on the (λ(u plus v)|u - v) Construction

被引：3
|
作者：
Du, Chao [1 ,2 ]
Ma, Zhi [1 ,2 ]
Luo, Lan [1 ,2 ]
Huang, Dakang [1 ,2 ]
Wang, Hong [1 ,2 ]
机构：
[1] State Key Lab Math Engn & Adv Comp, Zhengzhou 450001, Peoples R China
[2] Henan Key Lab Network Cryptog Technol, Zhengzhou 450001, Peoples R China
来源：
IEEE ACCESS | 2020年 / 8卷
基金：
中国国家自然科学基金;
关键词：
Repeated-root constacyclic codes; quantum synchronizable codes; (lambda(u plus v)vertical bar u - v) construction; ROOT CONSTACYCLIC CODES;
D O I：
10.1109/ACCESS.2019.2963289
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we propose a family of quantum synchronizable codes from repeated-root cyclic codes and constacyclic codes. This family of quantum synchronizable codes are based on (u + v)|u - v) construction which is constructed from constacyclic codes. Under this construction, we enrich the varieties of valid quantum synchronizable codes. We also prove that the obtained quantum synchronizable codes can achieve maximum synchronization error tolerance. Furthermore, quantum synchronizable codes based on (u + v)|u - v) construction are shown to be able to have a better capability in correcting bit errors than those from projective geometry codes.
引用
收藏
页码：8449 / 8458
页数：10
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