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Deim Seminar

Title

The set of Pure Gaps and Codes in Two-Points on Kummer Extensions and GK curve

Conferenciant

Alonso Seplveda Castellanos

Professor/a organitzador/a

Maria Bras

Institution

Universidade Federal de Uberlndia

Date

01-12-2023 10:00

Summary

Abstract: In this work, we provide a way to completely determine the set of pure gaps G0(P1, P2) at two rational places P1, P2 in a function field F over a finite field Fq, and its cardinality. As a consequence, we completely determine the set of pure gaps and its cardinality for two families of function fields: the GK function field and Kummer extensions. We apply these results to construct AG codes.

Place

231

Language

Angls