On hyperovals in small projective planes |
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| Authors: | Tim Penttila Gordon F Royle |
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| Institution: | (1) Department of Mathematics, University of Western Australia, 6009 Nedlands, Australia;(2) Department of Computer Science, University of Western Australia, 6009 Nedlands, Australia |
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| Abstract: | In this paper we collate the results of three computer searches for hyperovals in small projective planes, each of which resulted in new hyperovals. The three searches involve finding all hyperovals with non-trivial automorphisms in PG(2,64), all hyperovals with GF(2) o-polynomials in PG(2, 128) and PG(2, 256) and hyperovals stabilised by a particular group in PG(2, 256). |
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