  The goal of this paper is to develop methods for the construction of
saturated designs that include the mean, main effects and the two-factor
interactions of one factor with a subset of the remaining factors. If one
factor is interacting with all the remaining factors give a method for the
construction of a d-optimal saturated design. If one factor is interacting with
a proper subset of the remaining factor we discuss the saturated d-optimal
design for specific cases.
