The depth distribution of linear cyclic codes over ring Fpk+uFpk

The depth distribution and spectrum of cyclic codes and self-dual codes of an arbitrary length over ring R=Fpk+uFpk were studied. Using the generator polynomials of cyclic codes and the depth distribution of linear codes over ring R, the depth distribution and depth spectrum of cyclic codes and self-dual codes over the ring R were given, along with those of cyclic codes of length pm were also given.