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Chloe Martindale

Counting Points on Genus 2 Curves over Finite Fields (Notes de l'exposé plus bas)
Jeudi, 4 Mai, 2017 - 10:30
Résumé : 

We recap the algorithm of Schoof, Elkies, and Atkin for efficient point counting on elliptic curves over finite fields, and show how to generalise the algorithm to genus 2 curves over finite fields (with maximal real multiplication). Under some heuristic assumptions, this is the fastest known algorithm to count points on genus 2 curves over large prime fields.

Institution de l'orateur : 
Université de Leiden
Thème de recherche : 
Théorie des nombres
Salle : 
Salle 4
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