Dinh (J Algebra 324:940–950, 2010) characterized constacyclic codes of length ps over R2=Fpm+uFpm , where u2=0 . This idea has been generalized to skew constacyclic codes by many authors. In this paper, we provide new methods to characterize the structure of skew cyclic codes of length ps over R2=Fpm+uFpm . As a special case, if we restrict our attention to the polynomial rings Fpm[x] and R2[x] , we obtain most of results appeared in the above paper for cyclic codes.
