The maximum number of columns in E(s2) $\,E({s}^{2})$‐optimal supersaturated designs with 16 rows and smax=4 ${s}_{{\rm{\max }}}=4$ is 60

Abstract

We show that the maximum number of columns in 0.1emE(s2) $\,E({s}^{2})$‐optimal supersaturated designs (SSDs) with 16 rows and smax=4 ${s}_{{\rm{\max }}}=4$ is 60 by showing that there exists no resolvable 2‐(16, 8, 35) design such that any two blocks from different parallel classes intersect in 3, 5, or 4 points. This is accomplished by an exhaustive computer search that uses the parallel class intersection pattern method to reduce the search space. We also classify all nonisomorphic 0.1emE(s2) $\,E({s}^{2})$‐optimal 5‐circulant SSDs with 16 rows and smax=8 ${s}_{{\rm{\max }}}=8$.