| Texto completo | |
| Autor(es): |
Castellanos, Alonso S.
;
Mendoza, Erik A. R.
;
Tizziotti, Guilherme
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Journal of Pure and Applied Algebra; v. 228, n. 4, p. 20-pg., 2024-04-01. |
| Resumo | |
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. Furthermore, we give a bound for the cardinality of the set G0(P1, P2) which is better, in some cases, than the generic bound given by Homma and Kim in [11]. 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. (c) 2023 Elsevier B.V. All rights reserved. (AU) | |
| Processo FAPESP: | 22/16369-2 - Curvas algébricas e suas aplicações à Teoria de Códigos |
| Beneficiário: | Erik Antonio Rojas Mendoza |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |