Let \(v\) and \(u\) be positive integers. It is shown in this paper that the necessary condition for the existence of a directed \(\mathrm{TD}(5,v)\)-\(\mathrm{TD}(5,u)\), namely \(v \geq 4u\), is also sufficient.
Citation
Charles J.Colbourn, Jianxing Yin. On Directed Incomplete Transversal Designs with Block Size Five[J], Ars Combinatoria, Volume 050. 215-224. .