摘要
本文研究了环F3+v F3上的循环码与常循环码.通过环F3+v F3与域F3上的循环码之间关系,证明了环F3+v F3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+v F3上v-常循环码也是由一个多项式生成的.
In this paper, we focus on cyclic and constacyclic codes over the ring F3＋v F3（v2=1）, which is not a finite chain ring. We study the relationship between cyclic codes over F3＋ v F3 and ternary cyclic codes, and prove that cyclic codes over the ring are generated by a polynomial over F3＋ v F3. Then, using similar method, we obtain the generator polynomial of v-constacyclic codes.
出处
《数学杂志》
CSCD
北大核心
2015年第5期1115-1126,共12页
Journal of Mathematics
基金
Supported by Scientific Research Foundation of Hubei Provincial Education Department of China(B2013069)
the National Science Foundation of Hubei Polytechnic University of China(12xjz14A)
