9 citations · 19 across the 13 of their papers we have counts for
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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…
Hypersurfaces in weighted projective spaces over finite fields with applications to coding theory
Yves Aubry, Wouter Castryck, Sudhir R. Ghorpade +3
We consider the question of determining the maximum number of -rational points that can lie on a hypersurface of a given degree in a weighted projective space over th…
Differential uniformity and second order derivatives for generic polynomials
Yves Aubry, Fabien Herbaut
For any polynomial of we introduce the following characteristic of the distribution of its second order derivative,which extends the differential unifor…
Optimal and maximal singular curves
Yves Aubry, Annamaria Iezzi
Using an Euclidean approach, we prove a new upper bound for the number of closed points of degree 2 on a smooth absolutely irreducible projective algebraic curve defined over the f…
On the maximum number of rational points on singular curves over finite fields
Yves Aubry, Annamaria Iezzi
We give a construction of singular curves with many rational points over finite fields. This construction enables us to prove some results on the maximum number of rational points…
On the number of rational points on Prym varieties over finite fields
Yves Aubry, Safia Haloui
We give upper and lower bounds for the number of rational points on Prym varieties over finite fields. Moreover, we determine the exact maximum and minimum number of rational point…