环F_p^m+uF_p^m+…+u^(k-1)F_p^m上的一类常循环码

A class of constacyclic codes over ring F_p^m+uF_p^m+…+u^(k-1)F_p^m

文章研究了环R=Fpm+uFpm+…+uk-1 Fpm上任意长的(1+uβ)-常循环码的结构,确定了环R上长为N=psn的不同的(1+uβ)-常循环码的个数和这样的码所含码字的个数,并得到环R上的(1+uβ)-常循环对偶码的结构。

In this paper, （1-＋-uβ）-constacyclic codes over the ring F_p^m＋uF_p^m＋…＋u^（k-1）F_p^m an arbitrary length is studied. The number of distinct （1＋ ufl）-constacyclic codes over the ring R of length N=psn is determined, so is the number of codewords in each such code. The structure of （1＋ u/3）-constacyclic dual codes over the ring R is also derived.