New Classes of Orthogonal Designs

Abstract

An extension of a method of Hammer, Sarvate and Seberry is given. As a result, from an $OD(s_1,s_2,\dots s_r)$ of order $n$ and a $w(nm,p)$ an $OD(p{s}_1,p{s}_2\dots p{s}_r)$ of order $nm(n+k)$ for each integer $k\ge 0$ is constructed.