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Maps in a family of planes in the projective space

✍ Scribed by L. Z. Kruglyakov

Publisher
SP MAIK Nauka/Interperiodica
Year
1983
Tongue
English
Weight
597 KB
Volume
23
Category
Article
ISSN
0037-4466

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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.