AbstractLet p≡7mod16 be a prime. Then there are integers a,b,c,d with a≡15mod16, b≡0mod4, p2=a2+2(b2+c2+d2), and 2ab=c2-2cd-d2. We show that there is a regular Hadamard matrix of order 4p2 provided that p=a±2b or p=a+δ12b+4δ2c+4δ1δ2d with δi=±1
AbstractIn this paper all the so-called checkered Hadamard matrices of order 16 are determined (i.e....
Hadamard matrices of order 28m, 36m, and 44m We show that if four suitable matrices of order m exist...
AbstractGoethals and Seidel have recently demonstrated the existence of skew Hadamard matrices of or...
AbstractLet p≡7mod16 be a prime. Then there are integers a,b,c,d with a≡15mod16, b≡0mod4, p2=a2+2(b2...
Let p ≡ 7 mod 16 be a prime. Then there are integers a, b, c, d with a ≡ 15 mod 16, b ≡ 0 mod 4, p2 ...
AbstractWe show that if four suitable matrices of order m exist then there are Hadamard matrices of ...
AbstractThe new series of Hadamard matrices is constructed. In particular, this paper proves the exi...
AbstractWe prove that if there exist Hadamard matrices of order 4m, 4n, 4p, and 4q then there exists...
We show that if four suitable matrices of order m exist then there are Hadamard matrices of order 28...
AbstractIt is shown in this paper that if p is a prime and q = 2p − 1 is a prime power, then there e...
AbstractLet D2n be a dihedral group of order 2n and Z be the rational integer ring where n is an odd...
The existence of Szekeres difference sets, X and Y, of size 2f with y E Y = -y E Y, where q = 4f + 1...
No Hadamard matrices of Goethals-Seidel type of order 1852 appear in the literature. In this note we...
AbstractAll circulant and symmetric (1, -1) matrices A, B, C, D of order m=33 such that A2+B2+C2+D2=...
AbstractRecent advances in the construction of Hadamard matrices have depended on the existence of B...
AbstractIn this paper all the so-called checkered Hadamard matrices of order 16 are determined (i.e....
Hadamard matrices of order 28m, 36m, and 44m We show that if four suitable matrices of order m exist...
AbstractGoethals and Seidel have recently demonstrated the existence of skew Hadamard matrices of or...
AbstractLet p≡7mod16 be a prime. Then there are integers a,b,c,d with a≡15mod16, b≡0mod4, p2=a2+2(b2...
Let p ≡ 7 mod 16 be a prime. Then there are integers a, b, c, d with a ≡ 15 mod 16, b ≡ 0 mod 4, p2 ...
AbstractWe show that if four suitable matrices of order m exist then there are Hadamard matrices of ...
AbstractThe new series of Hadamard matrices is constructed. In particular, this paper proves the exi...
AbstractWe prove that if there exist Hadamard matrices of order 4m, 4n, 4p, and 4q then there exists...
We show that if four suitable matrices of order m exist then there are Hadamard matrices of order 28...
AbstractIt is shown in this paper that if p is a prime and q = 2p − 1 is a prime power, then there e...
AbstractLet D2n be a dihedral group of order 2n and Z be the rational integer ring where n is an odd...
The existence of Szekeres difference sets, X and Y, of size 2f with y E Y = -y E Y, where q = 4f + 1...
No Hadamard matrices of Goethals-Seidel type of order 1852 appear in the literature. In this note we...
AbstractAll circulant and symmetric (1, -1) matrices A, B, C, D of order m=33 such that A2+B2+C2+D2=...
AbstractRecent advances in the construction of Hadamard matrices have depended on the existence of B...
AbstractIn this paper all the so-called checkered Hadamard matrices of order 16 are determined (i.e....
Hadamard matrices of order 28m, 36m, and 44m We show that if four suitable matrices of order m exist...
AbstractGoethals and Seidel have recently demonstrated the existence of skew Hadamard matrices of or...
DOI
Add to ORKG