The Kramer–Mesner method with tactical decompositions: some new unitals on 65 points |
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Authors: | Vedran Krčadinac Anamari Nakić Mario Osvin Pavčević |
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Affiliation: | 1. Faculty of Science, Department of Mathematics, University of Zagreb, Bijeni?ka 30, HR‐10000 Zagreb, Croatia,;2. Faculty of Electrical Engineering and Computing, Department of Applied Mathematics, University of Zagreb, Unska 3, HR‐10000 Zagreb, Croatia, |
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Abstract: | We propose a combination of two known computational methods for the construction of designs with prescribed groups of automorphisms: the Kramer–Mesner method and the method of tactical decompositions. This combined method is used to construct new unitals with parameters 2‐(65, 5, 1). © 2011 Wiley Periodicals, Inc. J Combin Designs 19:290‐303, 2011 |
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Keywords: | t‐design automorphism group unital |
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