Hyperovals in the Known Projective Planes of Order 16

Tim Penttila, Gordon Royle, M.K. Simpson

Research output: Contribution to journalArticlepeer-review

31 Citations (Scopus)


We construct by computer all of the hyperovals in the 22 known projective planes of order 16. Our most interesting result is that four of the planes contain no hyperovals, thus providing counterexamples to the old conjecture that every finite projective plane contains an oval. (C) 1996 John Wiley & Sons, Inc.
Original languageEnglish
Pages (from-to)59-65
JournalJournal of Combinatorial Designs
Publication statusPublished - 1996


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