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COMBINATORICS
2004

Nonexistence Results for Hadamard-like Matrices

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Nonexistence Results for Hadamard-like Matrices
The class of square (0, 1, -1)-matrices whose rows are nonzero and mutually orthogonal is studied. This class generalizes the classes of Hadamard and Weighing matrices. We prove that if there exists an n by n (0, 1, -1)-matrix whose rows are nonzero, mutually orthogonal and whose first row has no zeros, then n is not of the form pk, 2pk or 3p where p is an odd prime, and k is a positive integer.
Justin D. Christian, Bryan L. Shader
Added 17 Dec 2010
Updated 17 Dec 2010
Type Journal
Year 2004
Where COMBINATORICS
Authors Justin D. Christian, Bryan L. Shader
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