More balanced incomplete block designs from frobenius groups

Techniques and results of constructing balanced incomplete block designs from a Frobenius group were summarized in [2]. These techniques and results grew out of observing that the sets Na + b of a planar near-ring (N, +, .) usually have a geometric interpretation. This observation was first illustrated in [1]. In this same work, one notices that sometimes the sets N{a,-a} + b also have geometric interpretations. The purpose of this paper is to show that this observation also leads to a method of constructing new balanced incomplete block designs from Frobenius groups.