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Hyperovals in Hall planes

โœ Scribed by Christine M. O'Keefe; Arlene A. Pascasio; Tim Penttila

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
429 KB
Volume
13
Category
Article
ISSN
0195-6698

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๐Ÿ“œ SIMILAR VOLUMES

Hyperovals and Unitals in Figueroa Plane
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โœ M.J. de Resmini; N. Hamilton ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 118 KB

In [3], W. M. Cherowitzo constructed ovals in all finite Figueroa planes of odd order. Here a class of hyperovals is constructed in the finite Figueroa planes of even order. These hyperovals are inherited from regular hyperovals in the associated desarguesian planes. It is also shown that all Figuer

Hyperovals in the known projective plane
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โœ Tim Penttila; Gordon F. Royle; Michael K. Simpson ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 382 KB

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.