In this paper, we study skew constacyclic codes over the ring ZqR where R = Zq + uZq, q = p s for a prime p and u 2 = 0. We give the definition of these codes as subsets of the ring Z α q R β. Some structural properties of the skew polynomial ring R[x, Θ] are discussed, where Θ is an automorphism of R. We describe the generator polynomials of skew constacyclic codes over ZqR, also we determine their minimal spanning sets and their sizes. Further, by using the Gray images of skew constacyclic codes over ZqR we obtained some new linear codes over Z4. Finally, we have generalized these codes to double skew constacyclic codes over ZqR.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.