Arcs in finite projective spaces

By Simeon Ball, Michel Lavrauw. EMS Surveys in Mathematical Sciences, 2019

49 citations recorded by the source corpus.

This is an expository article detailing results concerning large arcs in finite projective spaces, which 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.

Subfields: Artificial Intelligence, Discrete Mathematics and Combinatorics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/10ad85ccdf444c80735aac56bbe36cfc389a2971