| 基于常循环码构造的两类纠缠辅助量子MDS码 |
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| 引用本文： | 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. |
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| 作者姓名： | 王伟伟 李建涛 |
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| 作者单位： | 辽宁大学 数学院, 沈阳 110036 |
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| 摘 要： | 通过有限域Fq2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).
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| 关 键 词： | 常循环码 纠缠辅助量子MDS码 分圆陪集 |
| 收稿时间： | 2020-09-30 |
Two Classes of Entanglement-Assisted Quantum MDS Codes Constructed by Constacyclic Codes |
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| WANG Weiwei,LI Jiantao.Two Classes of Entanglement-Assisted Quantum MDS Codes Constructed by Constacyclic Codes[J].Journal of Jilin University: Sci Ed,2021,59(3):544-550. |
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| Authors: | WANG Weiwei LI Jiantao |
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| Affiliation: | School of Mathematics, Liaoning University, Shenyang 110036, China |
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| Abstract: | The number of entangled bits was determined by a decomposition of defining sets of constacyclic codes over finite fields Fq2. Two classes of the entanglement-assisted quantum maximum distance separable codes (entanglement-assisted quantum MDS codes for brevity) were constructed by using constacyclic codes. |
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| Keywords: | constacyclic code entanglement-assisted quantum MDS code cyclotomic coset |
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