Resolution IV Designs with 128 Runs

Chen, Sun, and Wu (1993) enumerated all possible 2k-p fractional factorial designs of size 16 and 32 and all resolution four (or higher) fractions of size 64. By enumerating all possible designs, they not only provided the minimum aberration design for each value of k but also listed designs attractive for other reasons, e.g., having the most clear two-factor interactions. Here we present the results of an enumeration of n = 128 run resolution IV designs. As in Chen, Sun, and Wu (1993), we constructed new designs by building up, adding one factor at a time. However, rather than determining whether a new candidate design was isomorphic to an existing design based on a complete permutation check, we retained all designs that differed in their projections. Resolution IV designs are tabulated for k = 12, …, 64 factors.