Add to ORKGWe show how to efficiently evaluate functions on jacobian varieties and their quo-tients. We deduce a quasi-optimal algorithm to compute (l, l) isogenies between Jacobians of genus two curves.Espaces de paramètres pour une arithmétique efficace et une évaluation de la sécurité des courbe
International audienceLet ell be a prime, and H a curve of genus 2 over a field k of characteristic ...
In this thesis, we propose efficient algorithms for computing isogenies between elliptic curves and ...
In this thesis, we propose efficient algorithms for computing isogenies between elliptic curves and ...
International audienceWe show how to efficiently evaluate functions on jacobian varieties and their ...
International audienceWe show how to efficiently evaluate functions on jacobian varieties and their ...
In this paper, we compute l-isogenies between abelian varieties over a field of characteristic diffe...
Let $p$ be an odd prime number and be an integer coprime to $p$. We survey an algorithm for computin...
Let k be a field of large enough characteristic. We present an algorithm solving the following probl...
We present a quasi-linear algorithm to compute isogenies between Jacobians of curvesof genus 2 and 3...
We present an algorithm solving the following problem: given two genus 2 curves over a field k with...
Accepté pour publication à Mathematics of ComputationsInternational audienceIn this paper, we comput...
International audienceLet ell be a prime, and H a curve of genus 2 over a field k of characteristic ...
International audienceLet ell be a prime, and H a curve of genus 2 over a field k of characteristic ...
International audienceLet ell be a prime, and H a curve of genus 2 over a field k of characteristic ...
International audienceLet ell be a prime, and H a curve of genus 2 over a field k of characteristic ...
International audienceLet ell be a prime, and H a curve of genus 2 over a field k of characteristic ...
In this thesis, we propose efficient algorithms for computing isogenies between elliptic curves and ...
In this thesis, we propose efficient algorithms for computing isogenies between elliptic curves and ...
International audienceWe show how to efficiently evaluate functions on jacobian varieties and their ...
International audienceWe show how to efficiently evaluate functions on jacobian varieties and their ...
In this paper, we compute l-isogenies between abelian varieties over a field of characteristic diffe...
Let $p$ be an odd prime number and be an integer coprime to $p$. We survey an algorithm for computin...
Let k be a field of large enough characteristic. We present an algorithm solving the following probl...
We present a quasi-linear algorithm to compute isogenies between Jacobians of curvesof genus 2 and 3...
We present an algorithm solving the following problem: given two genus 2 curves over a field k with...
Accepté pour publication à Mathematics of ComputationsInternational audienceIn this paper, we comput...
International audienceLet ell be a prime, and H a curve of genus 2 over a field k of characteristic ...
International audienceLet ell be a prime, and H a curve of genus 2 over a field k of characteristic ...
International audienceLet ell be a prime, and H a curve of genus 2 over a field k of characteristic ...
International audienceLet ell be a prime, and H a curve of genus 2 over a field k of characteristic ...
International audienceLet ell be a prime, and H a curve of genus 2 over a field k of characteristic ...
In this thesis, we propose efficient algorithms for computing isogenies between elliptic curves and ...
In this thesis, we propose efficient algorithms for computing isogenies between elliptic curves and ...