Construction of E(s2) optimal supersaturated designs using cyclic BIBDs

Abstract In this paper formulas for computing the E(s2) values of some kinds of E(s2) optimal supersaturated designs are given, and a general algorithm of constructing E(s2) optimal supersaturated designs from cyclic BIBDs is proposed. Within this class of designs, by further discriminating the pairwise correlations, efficient designs of runs from 6 to 24 are constructed and tabulated. Comparisons with other existing designs are made at last, demonstrating the effectiveness of our method.