LRC codes and a construction from towers of function fields

GALLUCCIO FRANCISCO

Seminario; Galois geometries and their applications: young seminars; 2023

Università degli Studi della Campania "Luigi Vanvitelli"

Abstract: In this work, we construct sequences of locally recoverable AG codes arising from function fields. In a particular we study the construction from a tower of function fields and give bounds for the parameters of the obtained codes. We will show an example from a tower over Fq2 for any odd q, defined by Garcia and Stichtenoth, and we will show that the bound is sharp for the first code in the sequence.