Bounds on the maximum determinant for (1,-1) matrices

Authors

C Koukouvinos, National Technical University of Athens, Greece
M Mitrouli, University of Athens, Greece
Jennifer Seberry, University of WollongongFollow

RIS ID

4604

Publication Details

Koukouvinos, C., Mitrouli, M. & Seberry, J. (2000). Bounds on the maximum determinant for (1,-1) matrices. Bulletin of the Institute of Combinatorics and its applications, 29 39-48.

Abstract

We suppose the Hadamard conjecture is true and an Hadamard matrix of order 4t, exists for all t ≥ 1. We use the results for the equivalent SBIBD(4t –1, 2t–1, t–1) to establish the maximum determinant or a lower bound for the maximum determinant for all ±1 matrices. In particular we give numerical results for all orders ≤100.