Regular Cayley maps of skew-type 3 for dihedral groups

Let M=CM(G,X,p) be a regular Cayley map, and φφ be the corresponding skew-morphism of MM. If the power function of φφ takes on exactly ii values in Z|X|, then MM is called of skew-type ii. In this paper, all regular Cayley maps of skew-type 3 for dihedral groups are determined up to isomorphism.