Asymptotic results on the existence of 4‐RGDDs and uniform 5‐GDDs

In this paper, we continue to investigate the existence of 4‐RGDDs and uniform 5‐GDDs. It is proved that the necessary conditions for the existence of such designs are also sufficient with a finite number of possible exceptions. As an application, the known results on the existence of uniform 4‐frames are also improved. © 2004 Wiley Periodicals, Inc.