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Counting Points on Elliptic Curves

<p>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.</p>

Identiferoai:union.ndltd.org:UPSALLA/oai:DiVA.org:ntnu-10018
Date January 2010
CreatorsBirkedal, Ole Andre Blom
PublisherNorwegian University of Science and Technology, Department of Mathematical Sciences, Institutt for matematiske fag
Source SetsDiVA Archive at Upsalla University
LanguageEnglish
Detected LanguageEnglish
TypeStudent thesis, text

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