Add to ORKGSome results on weighing matrices It is shown that if q is a prime power then there exists a circulant weighing matrix of order q2 + q + 1 with q2 non-zero elements per row and column. This result allows the bound N to be lowered in the theorem of Geramita and Wallis that " given a square integer k there exists an integer N dependent on k such that weighing matrices of weight k and order n and orthogonal designs (1, k) of order 2n exist for every n> N"
10.1016/j.jcta.2010.10.004Journal of Combinatorial Theory. Series A1183908-919JCBT
A circulant weighing matrix W = (wi,j ) ∈ CW(n, k) is a square matrix of order n and entries wi,j in...
A weighing matrix W = W(n,k) of order n and weight k is a square (0,l,-l)-matrix satisfying WWt -kIn...
It is shown that if q is a prime power then there exists a circulant weighing matrix of order q2 + ...
AbstractLet n be a fixed positive integer. Every circulant weighing matrix of weight n arises from w...
Families of weighing matrices A weighing matrix is an n x n matrix W = W(n, k) with entries from {0,...
We prove nonexistence of circulant weighing matrices with parameters from ten previously open entrie...
We prove nonexistence of circulant weighing matrices with parameters from ten previously open entrie...
We prove nonexistence of circulant weighing matrices with parameters from ten previously open entrie...
In this paper, we prove the nonexistence of two weighing matrices of weight 81, namely CW(88,...
A number of new weighing matrices constructed from two circulants and via a direct sum construction ...
AbstractWe provide the first theoretical proof of the spectrum of orders n for which circulant weigh...
We construct weighing matrices by 2-suitable negacyclic matrices, and study the conjecture by J. S. ...
SUMMARY. In this paper we use a new algorithm to find weighing matrices W (2n, 9) constructed using ...
AbstractWe show that a circulant weighing matrix of order n and weight 16 exists if and only if n⩾21...
10.1016/j.jcta.2010.10.004Journal of Combinatorial Theory. Series A1183908-919JCBT
A circulant weighing matrix W = (wi,j ) ∈ CW(n, k) is a square matrix of order n and entries wi,j in...
A weighing matrix W = W(n,k) of order n and weight k is a square (0,l,-l)-matrix satisfying WWt -kIn...
It is shown that if q is a prime power then there exists a circulant weighing matrix of order q2 + ...
AbstractLet n be a fixed positive integer. Every circulant weighing matrix of weight n arises from w...
Families of weighing matrices A weighing matrix is an n x n matrix W = W(n, k) with entries from {0,...
We prove nonexistence of circulant weighing matrices with parameters from ten previously open entrie...
We prove nonexistence of circulant weighing matrices with parameters from ten previously open entrie...
We prove nonexistence of circulant weighing matrices with parameters from ten previously open entrie...
In this paper, we prove the nonexistence of two weighing matrices of weight 81, namely CW(88,...
A number of new weighing matrices constructed from two circulants and via a direct sum construction ...
AbstractWe provide the first theoretical proof of the spectrum of orders n for which circulant weigh...
We construct weighing matrices by 2-suitable negacyclic matrices, and study the conjecture by J. S. ...
SUMMARY. In this paper we use a new algorithm to find weighing matrices W (2n, 9) constructed using ...
AbstractWe show that a circulant weighing matrix of order n and weight 16 exists if and only if n⩾21...
10.1016/j.jcta.2010.10.004Journal of Combinatorial Theory. Series A1183908-919JCBT
A circulant weighing matrix W = (wi,j ) ∈ CW(n, k) is a square matrix of order n and entries wi,j in...
A weighing matrix W = W(n,k) of order n and weight k is a square (0,l,-l)-matrix satisfying WWt -kIn...