The images of constacyclic codes and new quantum codes
The images of constacyclic codes and new quantum codes
复制标题
常循环码和新量子码的图像
DOI：
10.1007/s11128-020-02708-3
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发表时间：
2020-06-11
影响因子：
2.5
通讯作者：
Sun, Zhonghua
中科院分区：
文献类型：
--
作者：
Kai, Xiaoshan;Zhu, Shixin;Sun, Zhonghua
设 q 为素数幂，m >= 2 为正整数。给出了F-q2m上常循环码的q(2)元图像厄米自正交的充分条件。 F-q2 上的埃尔米特自正交码作为 F-q2m 上的常循环码的图像而获得。通过采用厄米构造派生出两类量子代码。该结构产生的量子代码具有比之前已知的参数更好的参数。
Let q be a prime power and m >= 2 be a positive integer. A sufficient condition for the q(2)-ary images of constacyclic codes over F-q2m to be Hermitian self-orthogonal is presented. Hermitian self-orthogonal codes over F-q2 are obtained as the images of constacyclic codes over F-q2m. Two classes of quantum codes are derived by employing the Hermitian construction. The construction produces quantum codes with better parameters than the previously known ones.