构造长度为4p^(s)的量子重根循环码  

Structure of quantum repeated-root cyclic codes of length 4p^(s)

作　　者：汪余婷 刘丽[1] WANG Yuting;LIU Li(School of Mathematics,Hefei University of Technology,Hefei 230601,China)

机构地区：[1]合肥工业大学数学学院,安徽合肥230601

出　　处：《合肥工业大学学报（自然科学版）》2023年第10期1430-1434,共5页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(11871187)。

摘　　要：文章研究F_(p^(m))上码长是4p^(s)重根循环码的对偶包含性;基于重根循环码的代数结构,给出F_(p^(m))上码长是4p^(s)重根循环码是对偶包含码的充要条件,并确定了它们的最小距离;基于Steane扩展构造,构造了几类参数较好的非二元量子码。In this paper,the repeated-root cyclic codes of length 4p^(s) over F_(p^(m)) which contain their dual codes are studied.Based on algebraic structure of the repeated-root cyclic codes,a necessary and sufficient condition for the repeated-root cyclic codes of length 4p^(s) over F_(p^(m)) which contain their dual codes is given,and their minimum distance is determined.Based on Steane’s enlargement construction,several kinds of non-binary quantum codes with better parameters are constructed.

关 键 词：量子码 对偶码 汉明距离 循环码 Steane扩展构造 

分 类 号：O157.4[理学—数学]