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

Authors

C. Koukouvinos
M. Mitrouli
Jennifer Seberry, University of WollongongFollow

RIS ID

4604

Publication Details

C. Koukouvinos, M. Mitrouli and Jennifer Seberry, Bounds on the maximum determinant for (1,-1) matrices. Bulletin of the Institute of Combinatorics and its applications, 29, (2000), 39-48. ISSN 1183-1278.

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.