Maximal rank minimum aberration and doubling

Chen and Cheng [Chen, H., Cheng, C.-S., 2006. Doubling and projection: A method of constructing two-level designs of resolution IV. Ann. Statist. 34, 546-558] discussed the method of doubling for constructing two-level regular designs of resolution IV. In this paper, we study some further properties of doubling. Relations between the maximal rank minimum aberration and minimum aberration designs and how to construct some maximal rank minimum aberration designs are also considered.