基于常循环码构造的两类纠缠辅助量子MDS码

吉林大学学报(理学版) ›› 2021, Vol. 59 ›› Issue (3): 544-550.

基于常循环码构造的两类纠缠辅助量子MDS码

王伟伟, 李建涛

辽宁大学数学院, 沈阳 110036

收稿日期:2020-09-30 出版日期:2021-05-26 发布日期:2021-05-23
通讯作者: 李建涛 E-mail:jtlimath@qq.com

Two Classes of Entanglement-Assisted Quantum MDS Codes Constructed by Constacyclic Codes

WANG Weiwei, LI Jiantao

School of Mathematics, Liaoning University, Shenyang 110036, China

Received:2020-09-30 Online:2021-05-26 Published:2021-05-23

摘要/Abstract

摘要： 通过有限域F_^q2上常循环码的定义集分解, 确定纠缠比特数大小, 并利用常循环码构造两类纠缠辅助量子极大距离可分码(简称纠缠辅助量子MDS码).

关键词: 常循环码, 纠缠辅助量子MDS码, 分圆陪集

Abstract: The number of entangled bits was determined by a decomposition of defining sets of constacyclic codes over finite fields F_^q2. Two classes of the entanglement-assisted quantum maximum distance separable codes (entanglement-assisted quantum MDS codes for brevity) were constructed by using constacyclic codes.

Key words: constacyclic code, entanglement-assisted quantum MDS code, cyclotomic coset

中图分类号:

O236.2

王伟伟, 李建涛. 基于常循环码构造的两类纠缠辅助量子MDS码[J]. 吉林大学学报(理学版), 2021, 59(3): 544-550.

WANG Weiwei, LI Jiantao. Two Classes of Entanglement-Assisted Quantum MDS Codes Constructed by Constacyclic Codes[J]. Journal of Jilin University Science Edition, 2021, 59(3): 544-550.

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