2 papers
math.AG2026
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…
math.NT2026
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…