Recent advances on minimal codes

TL;DR

This paper surveys recent developments in minimal codes, highlighting their connections to finite projective geometry, which has led to new constructions and research questions in coding theory.

Contribution

It provides an overview of recent advances in minimal codes and explores their relationships with finite projective geometry, emphasizing new constructions and open questions.

Findings

Renewed interest in minimal codes due to geometric connections

New constructions of minimal codes inspired by projective geometry

Emerging research questions in the theory of minimal codes

Abstract

In this short survey we concern ourselves with minimal codes, a classical object in coding theory. We will explain the relation between minimal codes and various other mathematical domains, in particular with finite projective geometry. This latter connection has sparked a renewed interest in minimal codes, giving rise to new constructions as well as new questions.