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math.AG2020
Number of points of curves over finite fields in some relative situations from an euclidean point of vue
Emmanuel Hallouin, Marc Perret
We study the number of rational points of smooth projective curves over finite fields in some relative situations in the spirit of a previous paper from an euclidean point of vue.…
math.AG2020
Toward good families of codes from towers of surfaces
Alain Couvreur, Philippe Lebacque, Marc Perret
We introduce in this article a new method to estimate the minimum distance of codes from algebraic surfaces. This lower bound is generic, i.e. can be applied to any surface, and tu…