Arcs in finite projective spaces

被引：26

作者：

Ball, Simeon ^{[1
]}

Lavrauw, Michel ^{[2
]}

机构：

[1] Univ Politecn Cataluna, Dept Matemat, C Jordi Girona 1-3, Barcelona 08034, Spain

[2] Sabanci Univ, Fac Engn & Nat Sci, TR-34956 Istanbul, Turkey

来源：

EMS SURVEYS IN MATHEMATICAL SCIENCES | 2019年 / 6卷 / 1-2期

关键词：

Arcs; maximum distance separable codes; MDS conjecture; MDS-CODES; POINTS; FLOCKS; NUMBER; THAS;

D O I：

10.4171/EMSS/33

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：133 / 172

页数：40

共 50 条

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