Constacyclic Self-Dual Codes over Ring F_2 + uF_2 +…+ u~(k-1)F_2
Minjia Shi · Dianzi xuebao · 2013
Recently,a lot of coding scholars show a great interest in the study of constacyclic codes and constacyclic self-dual codes over the residue rings.In this paper,by utilizing some related linear codes,we first give the general theory of constacyclic self-dual codes of length N over a class of special finite chain rings.Using the obtained results,we give the sufficient conditions of the existence of constacyclic self-dual codes of length N over the ring.Finally,we determine the structures of some constacyclic self-dual codes of length N over the ring and give their generator polynomials.