1 citations · 4 across the 5 of their papers we have counts for
8 papers
Generating sets for maximal orders in rational quaternion algebras
Kirsten Eisenträger, Eyal Z. Goren, Annamaria Iezzi +6
Given a maximal order in a rational definite quaternion algebra, and a prime coprime to the discriminant of , this paper considers subsets of $\…
On the computation of endomorphism rings of abelian surfaces over finite fields
Samuele Anni, Gaetan Bisson, Annamaria Iezzi +2
We study endomorphism rings of principally polarized abelian surfaces over finite fields from a computational viewpoint with a focus on exhaustiveness. In particular, we address th…
New sextics of genus 6 and 10 attaining the Serre bound
Annamaria Iezzi, Motoko Qiu Kawakita, Marco Timpanella
We provide new examples of curves of genus 6 or 10 attaining the Serre bound. They all belong to the family of sextics introduced in [19] as a a generalization of the Wiman sextics…
Computing supersingular endomorphism rings using inseparable endomorphisms
Jenny Fuselier, Annamaria Iezzi, Mark Kozek +2
We give an algorithm for computing an inseparable endomorphism of a supersingular elliptic curve defined over , which, conditional on GRH, runs in expected $O(…
An Application of the Hasse-Weil Bound to Rational Functions over Finite Fields
Xiang-dong Hou, Annamaria Iezzi
We use the Aubry-Perret bound for singular curves, a generalization of the Hasse-Weil bound, to prove the following curious result about rational functions over finite fields: Let…
A note on the security of CSIDH
Jean-François Biasse, Annamaria Iezzi, Michael J. Jacobson
We propose an algorithm for computing an isogeny between two elliptic curves defined over a finite field such that there is an imaginary quadratic order sat…
Optimal and maximal singular curves
Yves Aubry, Annamaria Iezzi
Using an Euclidean approach, we prove a new upper bound for the number of closed points of degree 2 on a smooth absolutely irreducible projective algebraic curve defined over the f…
On the maximum number of rational points on singular curves over finite fields
Yves Aubry, Annamaria Iezzi
We give a construction of singular curves with many rational points over finite fields. This construction enables us to prove some results on the maximum number of rational points…