Geometrical constructions of class‐uniformly resolvable structure |
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| Authors: | Peter Danziger Malcolm Greig Brett Stevens |
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| Affiliation: | 1. Department of Mathematics, Ryerson University, Toronto, Canada ON M5B 2K3;2. Greig Consulting, North Vancouver, BC, Canada;3. School of Mathematics and Statistics, Carleton University, Ottawa, Canada ON K1S 5B6 |
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| Abstract: | 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 |
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| Keywords: | class‐uniformly resolvable design finite geometry oval subplane unital |
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