Publication Details

A.V. Geramita, N.J. Pullman and Jennifer Seberry Wallis, Families of weighing matrices, Bulletin of the Australian Mathematical Society, 10, (1974), 119-122.


A weighing matrix is an n x n matrix W = W(n, k) with entries from {0, 1, -l}, satisfying WWt = kIn. We shall call k the degree of W. It has been conjectured that if n = 0 (mod 4) then there exist n x n weighing matrices of every degree k < n.

We prove the conjecture when n is a power of 2. If n is not a power of two we find an integer t < n for which there are weighing matrices of every degree



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