构造[[q2+1/53，q2+1/53 -2d+2，d]]q量子MDS码
Constructing [[q2+1/53，q2+1/53 -2d+2，d]]q Quantum MDS Code
DOI: 10.12677/MP.2019.92013, PDF,   
作者: 赵梅芳：华南理工大学数学学院，广东 广州；郭鹏飞*：仲恺农业工程学院计算科学学院，广东 广州
关键词: 共轭正交；量子MDS码；常循环码；Conjugate Orthogonal； Quantum MDS Codes； Constacyclic Codes
摘要: 量子MDS码是一类重要的量子码。本文利用常循环码和Hermitian构造理论构造一种新的量子MDS码[[q2+1/53，q2+1/53 -2d+2，d]]q，其中q=106m+23时，整数d在区间[2,18m+4]且为偶数；其中q=106m+83时，整数d在区间[2,18m+4]且为偶数。
Abstract: Quantum MDS codes are an important class of quantum codes. In this paper, we construct new quantum MDS code [[q2+1/53，q2+1/53 -2d+2，d]]q , the integer d belongs to [2,18m+4]  and is even if q=106m+23  and the integer d belongs to [2,18m+4]  and is even if q=106m+83 .
文章引用：赵梅芳, 郭鹏飞. 构造[[q2+1/53，q2+1/53 -2d+2，d]]q量子MDS码[J]. 现代物理, 2019, 9(2): 114-119. https://doi.org/10.12677/MP.2019.92013

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