Some Results on the Excesses of Hadamard Matrices

Brett A.Jenkins1, C. Koukouvinost2, S. Kouniast2, Jennifer Seberry1, Ralph Seberry1
1Department of Computer Science University College University of New South Wales Australian Defence Force Academy Canberra, 2600, Australia
2Department of Mathematics University of Thessaloniki Thessaloniki, 54006 Greece

Abstract

We give some results on the excess of Hadamard matrices. We provide a list for Hadamard matrices of order \(\leq 1000\) of the smallest upper bounds known for the excess for each order. A construction is indicated for the maximal known excess.