2 citations · 2 across the 4 of their papers we have counts for
5 papers
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…
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…