Constructions of Resolvable Mendelsohn Designs

In this paper, we shall establish some construction methods for resolvable Mendelsohn designs, including constructions of the product type. As an application,we show that the necessary condition for the existence of a \((v, 4, \lambda)\)-RPMD, namely,
\(v \equiv 0\) or \(1\) (mod 4), is also sufficient for \(\lambda > 1\) with the exception of pairs \((v,\lambda)\)
where \(v = 4\) and \(\lambda\) odd. We also obtain a (v, 4, 1)-RPMD for \(v = 57\) and \(93\).