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math.NT2024
Differential uniformity of polynomials of degree 10
Yves Aubry
We prove that polynomials of degree 10 over finite fields of even characteristic with some conditions on theirs coefficients have a differential uniformity greater than or equal to…
math.NT2024
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…
math.AG2024
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.…