Ball, Simeon and Lavrauw, Michel (2019) Arcs in finite projective spaces. EMS Surveys in Mathematical Sciences, 6 (1-2). pp. 133-172. ISSN 2308-2151 (Print) 2308-216X (Online)
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Official URL: http://dx.doi.org/10.4171/EMSS/33
Abstract
This is an expository article detailing results concerning large arcs in finite projective spaces. It is not strictly a survey but attempts to cover the most relevant results on arcs, simplifying and unifying proofs of known old and more recent theorems. The article is mostly self-contained and includes a proof of the most general form of Segre's lemma of tangents and a short proof of the MDS conjecture over prime fields based on this lemma.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Arcs; maximum distance separable codes; MDS conjecture |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |
| Depositing User: | Michel Lavrauw |
| Date Deposited: | 14 Sep 2020 12:38 |
| Last Modified: | 30 Jul 2023 13:09 |
| URI: | https://research.sabanciuniv.edu/id/eprint/40070 |
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