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循环码的像构造2类新量子码
Two new classes of quantum codes derived from images of cyclic codes
【摘要】 文章给出2类循环码的像是厄米特自正交码的充分条件;对得到的2类厄米特自正交码,使用厄米特构造方法得到2类新的量子码;2类新量子码与同长度已有量子码对比,有更大的最小距离或更高的码率。
【Abstract】 In this paper, sufficient conditions for the images of two classes of cyclic codes to be Hermitian self-orthogonal are given. Two new classes of quantum codes are obtained from the Hermitian self-orthogonal image of cyclic codes by using Hermitian construction. These new quantum codes obtained have better parameters than the known ones with same lengths such as larger minimum distance or higher code rate.
【关键词】 量子纠错码;
循环码;
厄米特自正交;
厄米特构造;
【Key words】 quantum error-correcting codes; cyclic codes; Hermitian self-orthogonal; Hermitian construction;
【Key words】 quantum error-correcting codes; cyclic codes; Hermitian self-orthogonal; Hermitian construction;
【基金】 国家自然科学基金资助项目(61772168;61972126;12001002;62002093);安徽省自然科学基金资助项目(80808QA04)
- 【文献出处】 合肥工业大学学报(自然科学版) ,Journal of Hefei University of Technology(Natural Science) , 编辑部邮箱 ,2023年05期
- 【分类号】O413;TN911.22
- 【下载频次】8