Geometrical constructions of class-uniformly resolvable structure

We use arcs, ovals, and hyperovals to construct class-uniformly resolvable structures. Many of the structures come from finite geometries, but we also use arcs from non-geometric designs. Most of the class-uniformly resolvable structures constructed here have block size sets that have not been constructed before. We construct CURDs with a variety of block sizes, including many with block sizes 2 and 4. In addition, these constructions give the first systematic way of constructing infinite families of CURDs with three block sizes. © 2011 Wiley Periodicals, Inc. J Combin Designs 19:329-344, 2011