14 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR6 papers
- Université de LorraineFR5 papers
- Institut national de recherche en sciences et technologies du numériqueFR4 papers
- Centre Inria de l'Université de LorraineFR2 papers
- Laboratoire Lorrain de Recherche en Informatique et ses ApplicationsFR2 papers
- ARIC: Arithmétiques des ordinateurs, méthodes formelles, génération de codeFR1 paper
- CANARI: Analyse cryptographique et arithmétiqueFR1 paper
- CanarieCA1 paper
- CAPSULE: Cryptographie Appliquée et Sécurité des ImplémentationsFR1 paper
- Cara Therapeutics (United States)US1 paper
- Centre Inria de SaclayFR1 paper
- École PolytechniqueFR1 paper
3 papers · 1 filter
Evaluating modular equations for abelian surfaces
Jean Kieffer
We design efficient algorithms to evaluate modular equations of Siegel and Hilbert type for abelian surfaces over number fields or finite fields using complex approximations. Their…
Refined Analysis of the Asymptotic Complexity of the Number Field Sieve
Aude Le Gluher, Pierre-Jean Spaenlehauer, Emmanuel Thomé
The classical heuristic complexity of the Number Field Sieve (NFS) is the solution of an optimization problem that involves an unknown function, usually noted and called $ξ(…
Computing isogenies from modular equations in genus two
Jean Kieffer, Aurel Page, Damien Robert
We present an algorithm solving the following problem: given two genus 2 curves over a field k with isogenous Jacobians, compute such an isogeny explicitly. This isogeny can be eit…