环F_2+uF_2上长度为2n(n为奇数)的循环码  

Cyclic Codes over F_2+uF_2 of Length 2n

作　　者：王冬银[1,2] 

机构地区：[1]巢湖学院数学系,安徽巢湖238000 [2]合肥工业大学数学系,安徽合肥230009

出　　处：《大学数学》2009年第4期135-140,共6页College Mathematics

基　　金：巢湖学院科学研究基金资助项目(XLY-200707)

摘　　要：研究了环F2+uF2上长度为2n(n为奇数)的循环码,给出了循环码及其对偶码的生成多项式,以及循环码为自对偶码的充要条件。We investigate cyclic codes of oddly even length over the ring F2＋uF2.The generator polynomial of cyclic codes as well as that of their dual are completely obtained.We also give the necessary and sufficient conditions that cyclic codes are the self-dual codes.And some results about the minimum Lee weights of these codes are included.

关 键 词：环F2+UF2 循环码 离散傅立叶变换 极小Lee重量 

分 类 号：O157.4[理学—数学]