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有限链环上的常循环码

Constacyclic codes over finite chain rings
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摘要 研究了有限链环R上常循环码的等价性,根据等价性给出了R上一些常循环码及其对偶码的结构.确定了该环上长度为ps的所有常循环码及其对偶码的结构. Let R be a finite chain ring, and the characteristic of the residue field R be a prime number p. The equivalence of constacyclic codes over finite chain ring R are studied,and the structure of some constacyclic codes and their duals are given. The structure of all constacyclic codes with length p^s and their duals over the ring R are determined
作者 郑喜英 孔波
出处 《纯粹数学与应用数学》 CSCD 2014年第4期377-385,共9页 Pure and Applied Mathematics
基金 河南省基础与前沿(122300410229) 河南省教育厅科学技术研究重点项目(14B110024) 郑州市科技局科技攻关项目(20141375)
关键词 常循环码 循环码 对偶码 constacyclic code, cyclic code, dual code
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