This paper extends the 4(m)2(n) minimum aberration designs (MA designs) of
Wu and Zhang (1993) to the case of (S-2)Sn-k, where S is any prime or prime
power. Some basic properties of (S-2)Sn-k MA designs, including the relati
ons with Sn-k MA designs, are discussed. The (9)3(n-k) MA designs with 27 r
uns and (16)4(n-k) MA designs with 64 runs are tabulated, and some (4)2(n-k
) MA designs are constructed using the above relations.