Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8895612 | Finite Fields and Their Applications | 2018 | 22 Pages |
Abstract
We consider the algebraic curve defined by ym=f(x) where mâ¥2 and f(x) is a rational function over Fq. We extend the concept of pure gap to c-gap and obtain a criterion to decide when an s-tuple is a c-gap at s rational places on the curve. As an application, we obtain many families of pure gaps at two rational places on curves with many rational places.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Daniele Bartoli, Ariane M. Masuda, Maria Montanucci, Luciane Quoos,