This paper reports the result of a computer search which show s that there is no oval in a projective plane of order 10. It gives a brief description of the search method as well as a brief survey of other possible configurations in a plane of order 10.
On the existence of a projective plane of order 10
โ Scribed by F.J MacWilliams; N.J.A Sloane; J.G Thompson
- Publisher
- Elsevier Science
- Year
- 1973
- Tongue
- English
- Weight
- 520 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0097-3165
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๐ SIMILAR VOLUMES
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## Abstract The functions __a(n)__ and __p(n)__ are defined to be the smallest integer ฮป for which ฮปโfold quasimultiples affine and projective planes of order __n__ exist. It was shown by Jungnickel [J. Combin. Designs 3 (1995), 427โ432] that __a(n),p(n)__โ<โ__n__^10^ for sufficiently large __n__.