Equivalence of the Existence of Hadamard Matrices and Cretan(4t-1,2)-Mersenne Matrices
Abstract
We study orthogonal matrices whose elements have moduli ≤ 1. This paper shows that the existence of two such families of matrices is equivalent. Specifically we show that the existence of an Hadamard matrix of order 4t is equivalent to the existence of a Cretan(4t-1,2)-Mersenne matrix.
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