Counting Points on Elliptic Curves

In this paper we present the first efficient point counting algorithm due to Schoof, before giving a significant improvement due to Elkies. In the final section I give Satoh's algorithm which is even faster and has paved the way for the field of $p$-adic point counting.

Bibliographic Details
Main Author: Birkedal, Ole Andre Blom
Format: Others
Language:English
Published: Norges teknisk-naturvitenskapelige universitet, Institutt for matematiske fag 2010
Subjects:
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-10018