AbstractWe provide constructions of 32-modular Hadamard matrices for every size n divisible by 4. They are based on the description of several families of modular Golay pairs and quadruples. Higher moduli are also considered, such as 48,64,128 and 192. Finally, we exhibit infinite families of circulant modular Hadamard matrices of various types for suitable moduli and sizes
We prove, under a mild condition, that there is no circulant Hadamard matrix ( H) with (n >4) rows w...
No Hadamard matrices of Goethals-Seidel type of order 1852 appear in the literature. In this note we...
We prove the nonexistence of a circulant Hadamard matrix H of order n, under technical conditions on...
AbstractWe provide constructions of 32-modular Hadamard matrices for every size n divisible by 4. Th...
We provide constructions of 32-modular Hadamard matrices for every size n divisible by 4. They are b...
We show that if four suitable matrices of order m exist then there are Hadamard matrices of order 28...
AbstractThe new series of Hadamard matrices is constructed. In particular, this paper proves the exi...
AbstractA square matrix with entries ± 1 is called a modular Hadamard matrix if the inner product of...
AbstractRecent advances in the construction of Hadamard matrices have depended on the existence of B...
AbstractSome new constructions for modular Hadamard and Hadamard matrices are given. Incidentally, i...
AbstractWe are concerned here with the existence problem of 16-modular circulant Hadamard matrices H...
AbstractWe show that if four suitable matrices of order m exist then there are Hadamard matrices of ...
Recent advances in the construction of Hadamard matrices have depended on the existence of Baumert-H...
AbstractFix n. Let r(n) denote the largest number r for which there is an r×n (1, −1)-matrix H satis...
We prove the nonexistence of a circulant Hadamard matrix H of order n, under technical conditions on...
We prove, under a mild condition, that there is no circulant Hadamard matrix ( H) with (n >4) rows w...
No Hadamard matrices of Goethals-Seidel type of order 1852 appear in the literature. In this note we...
We prove the nonexistence of a circulant Hadamard matrix H of order n, under technical conditions on...
AbstractWe provide constructions of 32-modular Hadamard matrices for every size n divisible by 4. Th...
We provide constructions of 32-modular Hadamard matrices for every size n divisible by 4. They are b...
We show that if four suitable matrices of order m exist then there are Hadamard matrices of order 28...
AbstractThe new series of Hadamard matrices is constructed. In particular, this paper proves the exi...
AbstractA square matrix with entries ± 1 is called a modular Hadamard matrix if the inner product of...
AbstractRecent advances in the construction of Hadamard matrices have depended on the existence of B...
AbstractSome new constructions for modular Hadamard and Hadamard matrices are given. Incidentally, i...
AbstractWe are concerned here with the existence problem of 16-modular circulant Hadamard matrices H...
AbstractWe show that if four suitable matrices of order m exist then there are Hadamard matrices of ...
Recent advances in the construction of Hadamard matrices have depended on the existence of Baumert-H...
AbstractFix n. Let r(n) denote the largest number r for which there is an r×n (1, −1)-matrix H satis...
We prove the nonexistence of a circulant Hadamard matrix H of order n, under technical conditions on...
We prove, under a mild condition, that there is no circulant Hadamard matrix ( H) with (n >4) rows w...
No Hadamard matrices of Goethals-Seidel type of order 1852 appear in the literature. In this note we...
We prove the nonexistence of a circulant Hadamard matrix H of order n, under technical conditions on...
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