Günay, Gülizar and Lavrauw, Michel (2021) On planar arcs of size (q+3) ∕ 2. Journal of Combinatorial Designs, 29 (9). pp. 619-628. ISSN 1063-8539 (Print) 1520-6610 (Online)
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Official URL: https://dx.doi.org/10.1002/jcd.21793
Abstract
The subject of this paper is the study of small complete arcs in (Formula presented.), for (Formula presented.) odd, with at least (Formula presented.) points on a conic. We give a short comprehensive proof of the completeness problem left open by Segre in his seminal work. This gives an alternative to Pellegrino's long proof which was obtained in a series of papers in the 1980s. As a corollary of our analysis, we obtain a counterexample to a misconception in the literature.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | absolutely irreducible curve; arc; finite geometry; projective plane |
| Divisions: | Faculty of Engineering and Natural Sciences |
| Depositing User: | Michel Lavrauw |
| Date Deposited: | 04 Sep 2022 11:38 |
| Last Modified: | 04 Sep 2022 11:38 |
| URI: | https://research.sabanciuniv.edu/id/eprint/43491 |
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