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Arcs in finite projective spaces

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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
ID Code:40070
Deposited By:Michel Lavrauw
Deposited On:14 Sep 2020 12:38
Last Modified:14 Sep 2020 12:38

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