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Ian T. Roberts     Sue D’Arcy     Judith Egan     Martin Grüttmüller

An improved bound on the cardinality of the minimal pairwise balanced designs on 18 points with maximum block size 4

University of Rostock, Institute of Mathematics, 2005

https://doi.org/10.18453/rosdok_id00005893

Abstract: The cardinality of the minimal pairwise balanced designs on v elements with largest block size k is denoted by g(k)(v). It is known that 31 <= g(4)(18) <= 33. In this paper we show that g(4)(18) =/ 31.

working paper   free access