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arXiv · 1501.07012

Equivalence of the Existence of Hadamard Matrices and Cretan$(4t-1,2)$-Mersenne Matrices

Jennifer Seberry·N. A. Balonin
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Abstract

We study orthogonal matrices whose elements have moduli $\leq 1$. 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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Jennifer Seberry, N. A. Balonin. 2015-01-28. Equivalence of the Existence of Hadamard Matrices and Cretan$(4t-1,2)$-Mersenne Matrices. https://arxiv.org/abs/1501.07012

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