Simple Proof Of The Non-Existence Of Some Affine Resolvable Srgd Designs

The existence of resolvable and affine resolvable block designs has been discussed in the literature (cf. Clatworthy (1973), Raghavarao (1988)). Recently, a necessary condition for the existence of a certain resolvable pairwise balanced design is provided by Kadowaki and Kageyama (2020). In this paper, through the necessary condition, we can provide a simple proof of the non-existence result of some affine resolvable SRGD design, rather than by the usual methods in combinatorics.