k-Circulant Supersaturated Designs

A class of supersaturated designs called k-circulant designs is explored. These designs are constructed from cyclic generators by cycling k elements at a time. The class of designs includes many Es2-optimal designs, some of which are already known and some of which are more efŽ cient than known designs for model estimation under factor sparsity. Generators for the most efŽ cient designs are listed, and projection properties of some of the designs are explored. We also illustrate that some k-circulant supersaturated designs can be augmented with interaction columns to produce efŽ cient designs for a larger number of factors or for estimating interactions.