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
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...
AbstractGiven any natural number q > 3 we show there exists an integer t ⩽ [2log2(q − 3)] such that ...
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 ...
AbstractLet p≡7mod16 be a prime. Then there are integers a,b,c,d with a≡15mod16, b≡0mod4, p2=a2+2(b2...
10.1016/j.jcta.2005.07.011Journal of Combinatorial Theory. Series A1135822-838JCBT
AbstractThe new series of Hadamard matrices is constructed. In particular, this paper proves the exi...
In this paper we prove that there exist 4—{k2; 1/2k(k—1); k(k—2)} SDS, regular Hadamard matrices of ...
Hadamard matrices of order 28m, 36m, and 44m We show that if four suitable matrices of order m exist...
AbstractWe prove that if there exist Hadamard matrices of order 4m, 4n, 4p, and 4q then there exists...
AbstractWe are concerned here with the existence problem of 16-modular circulant Hadamard matrices H...
Recent advances in the construction of Hadamard matrices have depended on the existence of Baumert-H...
© 2020, Iranian Mathematical Society. For every prime power q≡7mod16, there are (q; a, b, c, d)-part...
Existence of SBIBD(4k2, 2k2 + k, k2 + k) and Hadamard matrices with maximal excess It is shown that ...
On Hadamard matrices Recent advances in the construction of Hadamard matrices have depended on the e...
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...
AbstractGiven any natural number q > 3 we show there exists an integer t ⩽ [2log2(q − 3)] such that ...
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 ...
AbstractLet p≡7mod16 be a prime. Then there are integers a,b,c,d with a≡15mod16, b≡0mod4, p2=a2+2(b2...
10.1016/j.jcta.2005.07.011Journal of Combinatorial Theory. Series A1135822-838JCBT
AbstractThe new series of Hadamard matrices is constructed. In particular, this paper proves the exi...
In this paper we prove that there exist 4—{k2; 1/2k(k—1); k(k—2)} SDS, regular Hadamard matrices of ...
Hadamard matrices of order 28m, 36m, and 44m We show that if four suitable matrices of order m exist...
AbstractWe prove that if there exist Hadamard matrices of order 4m, 4n, 4p, and 4q then there exists...
AbstractWe are concerned here with the existence problem of 16-modular circulant Hadamard matrices H...
Recent advances in the construction of Hadamard matrices have depended on the existence of Baumert-H...
© 2020, Iranian Mathematical Society. For every prime power q≡7mod16, there are (q; a, b, c, d)-part...
Existence of SBIBD(4k2, 2k2 + k, k2 + k) and Hadamard matrices with maximal excess It is shown that ...
On Hadamard matrices Recent advances in the construction of Hadamard matrices have depended on the e...
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...
AbstractGiven any natural number q > 3 we show there exists an integer t ⩽ [2log2(q − 3)] such that ...
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