Minimum aberration designs for mixed factorials in terms of complementary sets

Minimum aberration designs are obtained for two types of mixed-level fracti onal factorial: (i) (s(r)) x s(n) factorial, and (ii) (s(r1)) x (s(r2)) x s (n) factorial, where s is any prime or prime power, and r,r(1), r(2) and n are positive integers. Projective geometric tools are employed to find the wordlength pattern of a given design in terms of that of its complementary set. Many useful designs are found and tabulated.