Add to ORKGThe existence of multilevel Hadamard matrices (MHMs) of all orders as well as a construction for full-rate circulant MHMs of all orders n 6= 4 is known. We use computer search methods to look for previously unknown full-rate circulant MHMs of orders 5, 6, and 7 and find solutions that potentially do not follow from the known construction. We then give an alternate construction to explain some order six MHMs
On Hadamard matrices Recent advances in the construction of Hadamard matrices have depended on the e...
AbstractWe show that if four suitable matrices of order m exist then there are Hadamard matrices of ...
AbstractThe purpose of this paper is to offer an independent verification of recent computer results...
Multilevel Hadamard Matrices (MHMs) have been examined by Trihn, Fan, and Gabidulin for construction...
Hadamard matrices of order 28m, 36m, and 44m We show that if four suitable matrices of order m exist...
AbstractWe apply computational algebra methods to the construction of Hadamard matrices with two cir...
We show that if four suitable matrices of order m exist then there are Hadamard matrices of order 28...
We obtain several new number theoretic results which improve the field descent method. We use these ...
A computer has been used to list all known Hadamard matrices of order less than 40,000. If an Hadama...
AbstractWe prove that if there exist Hadamard matrices of order 4m, 4n, 4p, and 4q then there exists...
AbstractWhenever there exists a quasi-skew Hadamard matrix of order 4m and (4n−1, k, m−n+k) and (4n−...
AbstractThe new series of Hadamard matrices is constructed. In particular, this paper proves the exi...
AbstractAll circulant and symmetric (1, -1) matrices A, B, C, D of order m=33 such that A2+B2+C2+D2=...
In this paper we study the Hadamard matrices and some algorithms to generate them. We review some th...
In this paper we study the Hadamard matrices and some algorithms to generate them. We review some th...
On Hadamard matrices Recent advances in the construction of Hadamard matrices have depended on the e...
AbstractWe show that if four suitable matrices of order m exist then there are Hadamard matrices of ...
AbstractThe purpose of this paper is to offer an independent verification of recent computer results...
Multilevel Hadamard Matrices (MHMs) have been examined by Trihn, Fan, and Gabidulin for construction...
Hadamard matrices of order 28m, 36m, and 44m We show that if four suitable matrices of order m exist...
AbstractWe apply computational algebra methods to the construction of Hadamard matrices with two cir...
We show that if four suitable matrices of order m exist then there are Hadamard matrices of order 28...
We obtain several new number theoretic results which improve the field descent method. We use these ...
A computer has been used to list all known Hadamard matrices of order less than 40,000. If an Hadama...
AbstractWe prove that if there exist Hadamard matrices of order 4m, 4n, 4p, and 4q then there exists...
AbstractWhenever there exists a quasi-skew Hadamard matrix of order 4m and (4n−1, k, m−n+k) and (4n−...
AbstractThe new series of Hadamard matrices is constructed. In particular, this paper proves the exi...
AbstractAll circulant and symmetric (1, -1) matrices A, B, C, D of order m=33 such that A2+B2+C2+D2=...
In this paper we study the Hadamard matrices and some algorithms to generate them. We review some th...
In this paper we study the Hadamard matrices and some algorithms to generate them. We review some th...
On Hadamard matrices Recent advances in the construction of Hadamard matrices have depended on the e...
AbstractWe show that if four suitable matrices of order m exist then there are Hadamard matrices of ...
AbstractThe purpose of this paper is to offer an independent verification of recent computer results...