Article contents
Families of weighing matrices
Published online by Cambridge University Press: 17 April 2009
Extract
A weighing matrix is an n × n matrix W = W(n, k) with entries from {0, 1, −1}, 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 × 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 ≤ t.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 10 , Issue 1 , February 1974 , pp. 119 - 122
- Copyright
- Copyright © Australian Mathematical Society 1974
References
- 10
- Cited by