In what follows we give a collection of tables of designs which may be used as a quick reference to the state of knowledge on certain parameter sets within a feasible range. In our experience such listings have proved helpful for both theoretical and practical purposes (e.g. in statistics). Naturally such a rather small collection always implies a selection; we think we have made a useful choice, and we hope that the reader will have access to the quoted main sources. In particular, a vast collection of tables is given in the recent CRC handbook of combinatorial designs edited by Colbourn and Dinitz (1996a). We urge the reader to consult this handbook and its electronic update Colbourn and Dinitz (1998) whenever he or she cannot find the desired information in the small set of tables presented here. No serious design theorist should be without this collection.

The compilation we present would not have been possible without the support of several friends and colleagues, among whom we are indebted mainly to Andries Brouwer, Charles Colbourn and Alexander Rosa as well as the late Haim Hanani.

Block Designs

We here present a table of block designs Sλ (2, k; ν) with k ≤ ν/2 and replication number r in the range from 3 to 17.