Orthogonal Designs

Abstract

An orthogonal design of order n, type \((s_{1},\ldots , s_{\ell })\), denoted, \(OD(n;s_{1},\ldots , s_{\ell })\), \(s_{i}\) positive integers, is an \(n \times n\) matrix X, with entries from \({0,\pm x_{1},\ldots ,\pm x_{\ell }}\) (the \(x_{i}\) commuting indeterminates) satisfying.