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

arXiv1501.07012MaRDI QIDQ6258550

N. A. Balonin, Jennifer Seberry

Publication date: 28 January 2015

Abstract: We study orthogonal matrices whose elements have moduli $leq1$. 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.

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20)

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