Document Type
Journal Article
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.
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Publication Details
This article was originally published as Koukouvinos, C, Mitrouli, M and Seberry, J, Bounds on the Maximum Determinant for (1, –1) Matrices, Bulletin of the Institute of Combinatorics and its Applications, 29, 2000, 39-48.