Assume that d โฅ 4. Then there exists a d-dimensional dual hyperoval in PG(d + n, 2) for d + 1 โค n โค 3d -7.
A Family of d -dimensional Dual Hyperovals in P G(2 d +  1, 2)
โ Scribed by Satoshi Yoshiara
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 247 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0195-6698
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โฆ Synopsis
With the affine part of an oval we associate a family of d-subspaces of PG(2d + 1, 2) which can be thought of as a higher dimensional analogue of a hyperoval. The isomorphisms among such families together with their automorphisms are determined when they come from translation ovals.
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