9 citations · 13 across the 12 of their papers we have counts for
14 papers
Corrigendum to the paper "Maximum number of rational points on hypersurfaces in weighted projective spaces over finite fields", Journal of Algebra and Its Applications, Vol. 24, No. 13n14, 2541015(2025)
Yves Aubry, Marc Perret
The statement of item (ii) of Proposition 3.2 of the article referenced in the title is not correct. We provide a corrected version and show that, under the assumption that $\gcd(a…
Refinements on higher order Weil-Oesterlé bounds via a Serre type argument
Emmanuel Hallouin, Philippe Moustrou, Marc Perret
Weil's theorem gives the most standard bound on the number of points of a curve over a finite field. This bound was improved by Ihara and Oesterlé for larger genus. Recently, Hallo…
Maximum number of rational points on hypersurfaces in weighted projective spaces over finite fields
Yves Aubry, Marc Perret
An upper bound for the maximum number of rational points on an hypersurface in a projective space over a finite field has been conjectured by Tsfasman and proved by Serre in 1989.…
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.…
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…
Bounds on the minimum distance of algebraic geometry codes defined over some families of surfaces
Yves Aubry, Elena Berardini, Fabien Herbaut +1
We prove lower bounds for the minimum distance of algebraic geometry codes over surfaces whose canonical divisor is either nef or anti-strictly nef and over surfaces without irredu…