摘要
设λ是环Z_(p^m)的单位群中阶为l的元素,且l与p互素,本文研究了Z_(p^m)上长度为n的λ-常循环码的周期分布,其中gcd p(,n)=1.通过对环Z_(p^m)上长度为n的λ-常循环码结构的直和分解,给出其周期分布的计算公式.
Let λ be an element of order l in the unit group of the ringZpm , wheregcd（p,n）=1 . In this paper, the period distribution of λ constacyclic codes of length n over Zpm, is studied, where gcd（p,n）= 1. By using a direct decomposition,the calculator formula of the periodic distribution of λ-constacyclic codes of length n over Zpm is given.
作者
李佳乐
LI Jia le(School of Mathcmatics, Hcfci Univcrsity of Tcchnology, Hcfci 230009, Chin)
出处
《大学数学》
2018年第2期31-35,共5页
College Mathematics
关键词
常循环码
生成多项式
最小周期
周期分布
constacyclic code
generator polynomial
minimum period
period distribution
