AbstractWe construct a set of 71 weighing matrices, which contains all inequivalent matrices of order 13 and weight 9, by using the intersection pattern conditions with the aid of a computer. We provide a complete classification for weighing matrices of order 13 and weight 9 by showing that there are exactly eight inequivalent classes
We prove nonexistence of circulant weighing matrices with parameters from ten previously open entrie...
Balanced generalized weighing matrices include well-known classical combinatorial objects such as Ha...
Balanced generalized weighing matrices include well-known classical combinatorial objects such as Ha...
AbstractWe construct a set of 71 weighing matrices, which contains all inequivalent matrices of orde...
On inequivalent weighing matrices A weighing matrix W = W(n,k) of order n and weight k is a square m...
AbstractWe provide the first theoretical proof of the spectrum of orders n for which circulant weigh...
SUMMARY. In this paper we use a new algorithm to find weighing matrices W (2n, 9) constructed using ...
Families of weighing matrices A weighing matrix is an n x n matrix W = W(n, k) with entries from {0,...
A weighing matrix is an n x n matrix W = W(n, k) with entries from {0, 1, -l}, satisfying WWt = kIn....
AbstractLet n be a fixed positive integer. Every circulant weighing matrix of weight n arises from w...
It is shown that if q is a prime power then there exists a circulant weighing matrix of order q2 + ...
The Smith normal forms (SNF) of weighing matrices are studied. We show that for all orders n ≥ 35 th...
viii, 133 leaves ; 29 cmThis thesis introduces unit weighing matrices, a generalization of Hadamard...
We prove nonexistence of circulant weighing matrices with parameters from ten previously open entrie...
We construct weighing matrices by 2-suitable negacyclic matrices, and study the conjecture by J. S. ...
We prove nonexistence of circulant weighing matrices with parameters from ten previously open entrie...
Balanced generalized weighing matrices include well-known classical combinatorial objects such as Ha...
Balanced generalized weighing matrices include well-known classical combinatorial objects such as Ha...
AbstractWe construct a set of 71 weighing matrices, which contains all inequivalent matrices of orde...
On inequivalent weighing matrices A weighing matrix W = W(n,k) of order n and weight k is a square m...
AbstractWe provide the first theoretical proof of the spectrum of orders n for which circulant weigh...
SUMMARY. In this paper we use a new algorithm to find weighing matrices W (2n, 9) constructed using ...
Families of weighing matrices A weighing matrix is an n x n matrix W = W(n, k) with entries from {0,...
A weighing matrix is an n x n matrix W = W(n, k) with entries from {0, 1, -l}, satisfying WWt = kIn....
AbstractLet n be a fixed positive integer. Every circulant weighing matrix of weight n arises from w...
It is shown that if q is a prime power then there exists a circulant weighing matrix of order q2 + ...
The Smith normal forms (SNF) of weighing matrices are studied. We show that for all orders n ≥ 35 th...
viii, 133 leaves ; 29 cmThis thesis introduces unit weighing matrices, a generalization of Hadamard...
We prove nonexistence of circulant weighing matrices with parameters from ten previously open entrie...
We construct weighing matrices by 2-suitable negacyclic matrices, and study the conjecture by J. S. ...
We prove nonexistence of circulant weighing matrices with parameters from ten previously open entrie...
Balanced generalized weighing matrices include well-known classical combinatorial objects such as Ha...
Balanced generalized weighing matrices include well-known classical combinatorial objects such as Ha...