A general method of constructing E(s2)-optimal supersaturated designs

There has been much recent interest in supersaturated designs and their application in factor screening experiments. Supersaturated designs have mainly been constructed by using the E(s(2))-optimality criterion originally proposed by Booth and Cox in 1962. However, until now E(s(2))- optimal designs have only been established with certainty for n experimental runs when the number of factors m is a multiple of n - 1, and in adjacent cases where m = q(n - 1) + r (\r] less than or equal to 2, q an integer). A method of constructing E(s(2))-optimal designs is presented which allows a reasonably complete solution to be found for various numbers of runs n including n = 8, 12, 16, 20, 24, 32, 40, 48,64.