摘要：Mukerjee and Wu(2001) employed projective geometry theory to find the wordlength pattern of a regular mixed factorial design in terms of its complementary set, but only for the numbers of words of length 3 or *** this paper,by introducing a concept of consulting design and based on the connection between factorial design theory and cod- ing theory,we obtain some combinatorial identities that relate the wordlength pattern of a regular mixed-level (2~r)2~n factorial design to that of its consulting ***,a general rule for identifying minimum aberration (2~r)2~n factorial designs through their con- sulting designs is *** is an improvement and generalization of the related result in Mukerjee and Wu(2001).