Abstract
In earlier works of Shirakura, it has been shown that some balanced fractional 2m factorial designs of resolution IV, in which the general mean and main effects are estimable ignoring three-factor and higher order interactions, can be obtained from balanced arrays of strength four. Furthermore, in order to compare these designs, two criteria have been introduced. In this paper, all optimal designs with respect to these two criteria will be presented for each m with 4_??_m_??_10, and for any given assemblies N within a certain practical range.
