A New Infinite Series of Double Youden Rectangles

Abstract

Bailey (1989) defined a $k\times v$ double Youden rectangle (DYR), with $k3$ is a prime power with $k\equiv 3(\mathrm{mod}4)$. We now provide a general construction for DYRs of sizes $k\times (2k+1)$ where $k>5$ is a prime power with $k\equiv 1(\mathrm{mod}4)$. We present DYRs of sizes $9\times 19$ and $13\times 27$.