Abstract
Let R2=Fpm+uFpm, where u2=0. In this paper, we determine the algebraic structures of all skew constacyclic codes of lengths ps and 2ps over R2 for special automorphisms. We also characterize the structure of (Euclidean) dual of some special skew constacyclic codes of length 2ps and calculate the number of codewords of them. As a special case, if we restrict our attention to the polynomial ring R2[x], we obtain most of results for constacyclic codes of lengths ps and 2ps over R2.
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