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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 R=Fpm+uFpm+…+uk-1Fpm of an arbitrary length is studied.The number of distinct(1+uβ)-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+uβ)-constacyclic dual codes over the ring R is also derived.