| Full text | |
| Author(s): |
Castellanos, Alonso S.
;
Mendoza, Erik A. R.
;
Tizziotti, Guilherme
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Journal of Pure and Applied Algebra; v. 228, n. 4, p. 20-pg., 2024-04-01. |
| 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. 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) | |
| FAPESP's process: | 22/16369-2 - Algebraic curves and their applications to Coding Theory |
| Grantee: | Erik Antonio Rojas Mendoza |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |