9 citations · 11 across the 8 of their papers we have counts for
10 papers
Maximal curves with respect to quadratic extensions over finite fields
Yves Aubry, Fabien Herbaut, Julien Monaldi
We propose a detailed study of a canonical bound which relates the numbers of rational points of a curve over a finite field with that over its quadratic extension. Alternative pro…
Trinomials with high differential uniformity
Yves Aubry, Fabien Herbaut, Ali Issa
Comparisons of arithmetic and geometric monodromy groups coupled with the Chebotarev density theorem enable to obtain families of trinomials defined over finite fields of even char…
Closed points on curves over finite fields
Yves Aubry, Fabien Herbaut, Julien Monaldi
We are interested in the quantity (q, g) defined as the smallest positive integer such that r (q, g) implies that any absolutely irreducible smooth projective algebraic…
Polynomials with maximal differential uniformity and the exceptional APN conjecture
Yves Aubry, Fabien Herbaut, Ali Issa
We contribute to the exceptional APN conjecture by showing that no polynomial of degree m = 2 r (2 {\ell} + 1) where gcd(r, {\ell}) 2, r 2, {\ell} 1 with a nonzero second leading c…
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…
Algebraic geometry codes over abelian surfaces containing no absolutely irreducible curves of low genus
Yves Aubry, Elena Berardini, Fabien Herbaut +1
We provide a theoretical study of Algebraic Geometry codes constructed from abelian surfaces defined over finite fields. We give a general bound on their minimum distance and we in…
Maximal differential uniformity polynomials
Yves Aubry, Fabien Herbaut, Jose Felipe Voloch
We provide an explicit infinite family of integers such that all the polynomials of of degree have maximal differential uniformity for large enou…
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…
On the tautological ring of a Jacobian modulo rational equivalence
Baohua Fu, Fabien Herbaut
We consider the Chow ring with rational coefficients of the Jacobian of a curve. Assume D is a divisor in a base point free g^r_d of the curve such that the canonical divisor K is…
Algebraic cycles on the Jacobian of a curve with a
Fabien Herbaut
We present relations between cycles with rational coefficients modulo algebraic equivalence on the Jacobian of a curve. These relations depend on the linear systems the curve admit…