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.
|Journal||Journal of Combinatorial Designs|
|Publication status||Published - 1996|