Infinite Series of double Youden Rectangles

A double Youden rectangle is a type of Graeco-Latin design first represented in the literature when Clarke (1963) gave an example used to provide the layout for an orchard experiment. Bailey (1989) reported that few double Youden rectangles were known, and asked for more to be found, preferably in infinite classes. The present paper provides constructions of such double Youden rectangles: for each prime p equivalent to 3 (mod 4) there are double Youden rectangles of size p x (2p + 1).