## Abstract A new family of small complete caps in __PG__(__N__,__q__), __q__ even, is constructed. Apart from small values of either __N__ or __q__, it provides an improvement on the currently known upper bounds on the size of the smallest complete cap in __PG__(__N__,__q__): for __N__ even, the l
Small semiovals in PG(2,q)
✍ Scribed by György Kiss
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 75 KB
- Volume
- 88
- Category
- Article
- ISSN
- 0047-2468
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📜 SIMILAR VOLUMES
Jungnickel, D. and S. Vanstone, Triple systems in PG(2,9), Discrete Mathematics 92 (1991) 131-13s. Let G be a cyclic Singer group for the Desarguesian projective plane P = PG(2.9). Then there exists a cyclic Steiner triple system on the point set of P which is invariant under G and the blocks of wh
A very difficult problem for complete caps in PG(r,q) is to determine their minimum size. The results on this topic are still scarce and in this paper we survey the best results now known. Furthermore, we construct new interesting sporadic examples of complete caps in PG(3, q) and in PG(4, q) such t
In this paper we construct a large family of complete arcs. Let p be a prime. For any integer k satisfying there exists a complete arc of size k in PG(2, p).