A New Class of Orthogonal Designs

Abstract

We give, among other results, a new method to construct for each positive integer $n$ a class of orthogonal designs $OD(4^{n+1};m;4^{n}m,4^{n}m,4^{n}m,4^{n}m)$, $m=2^a{10}^b{26}^c+4^n+1$, $a,b,c$ non-negative integers.