科研之友
微信
新浪微博
Facebook
分享链接
摘要
Constacyclic codes of length p(s) over R = F-pm + uF(pm) + u(2)F(pm) are precisely the ideals of the ring R[x]/< x(ps) - 1 >. In this paper, we investigate constacyclic codes of length ps over R. The units of the ring R are of the forms gamma, alpha + u beta, alpha + u beta + u(2)gamma and alpha + u(2)gamma, where alpha, beta and gamma are nonzero elements of Fpm. We obtain the structures and Hamming distances of all (alpha+u beta)-constacyclic codes and (alpha+u beta+u(2)gamma)-constacyclic codes of length p(s) over R. Furthermore, we classify all cyclic codes of length p(s) over R, and by using the ring isomorphism we characterize gamma-constacyclic codes of length p(s) over R.
- 出版日期2014-7
- 单位湖北理工学院
