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Asymptotic results on the existence of 4-RGDDs and uniform 5-GDDs. (English) Zbl 1062.05023
Summary: 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.

##### MSC:
 05B05 Combinatorial aspects of block designs
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