In this paper, we use an algebraic method to compute the j×j, j=1,2,…,n minors of Hadamard matrices of order n. Specifically, we investigate the appearance of maximum values of minors. The presented algorithm is tested for several values of j and for Hadamard matrices of order 20. This...

This article proposes a novel approach to construct optimal balanced multi-level supersaturated designs using linear integer programming. We illustrate the approach with an example. Using the proposed approach, we construct and catalogue optimal balanced multi-level supersaturated designs in the...