On the non-existence of quasi-3 designs

Authors:
Wayne Broughton;Gary McGuire
Affiliations:
Department of Mathematics and Statistics, Okanagan University College, Kelowna, BC, Canada;Department of Mathematics, National University of Ireland, Maynooth, Co. Kildare, Ireland
Venue:
Discrete Mathematics
Year:
2003

Citing 9
Cited 3

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Abstract

In this survey article we discuss the existence of quasi-3 designs, and settle the existence question for all v ≤ 144. The only such designs are the ones already known. We also consider the question of whether the dual design of a quasi-3 design is a quasi-3 design.