Partially Balanced Incomplete Block Designs from Weakly Divisible Nearrings

In [[6] Riv. Mat. Univ. Parma 11 (2) (1970) 79–96] Ferrero demonstrates a connection between a
restricted class of planar nearrings and balanced incomplete block designs. In this paper, bearing in
mind the links between planar nearrings and weakly divisible nearrings (wd-nearrings), first we show
the construction of a family of partially balanced incomplete block designs from a special class of
wd-nearrings; consequently, we are able to give some formulas for calculating the design parameters.