%0 Journal Article
%T 环F3+vF3上的循环码与常循环码<br>CYCLIC AND CONSTACYCLIC CODES OVER F3 + vF3
%A 作者
%A 刘修生
%A 许小芳
%A 黄振华
%J 数学杂志
%D 2015
%X 本文研究了环F3+vF3上的循环码与常循环码.通过环F3+vF3与域F3上的循环码之间关系,证明了环F3+vF3上循环码是由一个多项式生成的.最后,用类似的方法,得到了环F3+vF3上v-常循环码也是由一个多项式生成的.<br>In this paper, we focus on cyclic and constacyclic codes over the ring F3+vF3(v2=1), which is not a finite chain ring. We study the relationship between cyclic codes over F3 + vF3 and ternary cyclic codes, and prove that cyclic codes over the ring are generated by a polynomial over F3 + vF3. Then, using similar method, we obtain the generator polynomial of v-constacyclic codes
%K 循环码 常循环码 Gray映射 生成多项式&lt
%K br&gt
%K cyclic codes constacyclic codes Gray map generator polynomial
%U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20150512&flag=1