Hai Q. DinhBac T. NguyenSongsak SriboonchittaTon-Duc-Thang UniversityKent State UniversityMahidol UniversityUniversity of Economics and Business AdministrationChiang Mai University2018-12-212019-03-142018-12-212019-03-142017-05-01Finite Fields and their Applications. Vol.45, (2017), 1-1810902465107157972-s2.0-85006377812https://repository.li.mahidol.ac.th/handle/20.500.14594/42610© 2016 Finite commutative semi-simple rings are direct sum of finite fields. In this study, we investigate the algebraic structure of λ-constacyclic codes over such finite semi-simple rings. Among others, necessary and sufficient conditions for the existence of self-dual, LCD, and Hermitian dual-containing λ-constacyclic codes over finite semi-simple rings are provided. Using the CSS and Hermitian constructions, quantum MDS codes over finite semi-simple rings are constructed.Mahidol UniversityEngineeringArticleSCOPUS10.1016/j.ffa.2016.11.008