Cretan(4t+1) Matrices
From MaRDI portal
Publication:6266574
arXiv1510.05736MaRDI QIDQ6266574
Jennifer Seberry Wallis, N. A. Balonin
Publication date: 19 October 2015
Abstract: A $Cretan(4t+1)$ matrix, of order $4t+1$, is an orthogonal matrix whose elements have moduli $leq 1$. The only $Cretan(4t+1)$ matrices previously published are for orders 5, 9, 13, 17 and 37. This paper gives infinitely many new $Cretan(4t+1)$ matrices constructed using $regular~Hadamard$ matrices, $SBIBD(4t+1,k,lambda)$, weighing matrices, generalized Hadamard matrices and the Kronecker product. We introduce an inequality for the radius and give a construction for a Cretan matrix for every order $n geq 3$.
This page was built for publication: Cretan(4t+1) Matrices
