9 papers
Minimal degree of an isogeny between a supersingular elliptic curve and its conjugate
Yves Aubry, Roger Oyono, Christelle Vincent
Let be a supersingular elliptic curve defined over and be its conjugate. We give a bound on the minimal degree of an isogeny from to $E^{(p)}…
Rational points on smooth surfaces in over finite fields
Yves Aubry, José Felipe Voloch
We improve a bound due to the second author on number of rational points on smooth surfaces in over finite fields and look at families of surfaces that achieve or ne…
Inseparable endomorphisms and rank-2 sublattices of the Gross lattice
Yves Aubry, Christelle Vincent
We answer a question posed by Love asking about a correspondence between isogenies from a supersingular elliptic curve to its Frobenius base-change and rank-2 sublattices of its Gr…
Corrigendum to the paper "Maximum number of rational points on hypersurfaces in weighted projective spaces over finite fields", Journal of Algebra and Its Applications, Vol. 24, No. 13n14, 2541015(2025)
Yves Aubry, Marc Perret
The statement of item (ii) of Proposition 3.2 of the article referenced in the title is not correct. We provide a corrected version and show that, under the assumption that $\gcd(a…
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…
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…
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…
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.…
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…