Hai Q. DinhBac T. NguyenSongsak SriboonchittaKent State UniversityMahidol UniversityUniversity of Economics and Business AdministrationChiang Mai University2018-12-112019-03-142018-12-112019-03-142016-01-01Mathematical Problems in Engineering. Vol.2016, (2016)156351471024123X2-s2.0-84962691328https://repository.li.mahidol.ac.th/handle/20.500.14594/40625© 2016 Hai Q. Dinh et al. This paper overviews the study of skew Θ-constacyclic codes over finite fields and finite commutative chain rings. The structure of skew Θ-constacyclic codes and their duals are provided. Among other results, we also consider the Euclidean and Hermitian dual codes of skew Θ-cyclic and skew Θ-negacyclic codes over finite chain rings in general and over Fpm+uFpm in particular. Moreover, general decoding procedure for decoding skew BCH codes with designed distance and an algorithm for decoding skew BCH codes are discussed.Mahidol UniversityEngineeringMathematicsReviewSCOPUS10.1155/2016/3965789