Constructing elliptic curves over finite fields using complex multiplication

Description

<p>We study and improve the CM-method for the creation of elliptic curves with specified group order over finite fields. We include a thorough review of the mathematical theory needed to understand this method. The ability to construct elliptic curves with very special group order is important in pairing-based cryptography.</p>

Links & Downloads

1. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-9434
2. Local ntnudaim:1419

Tags

ntnudaim

SIF3 fysikk og matematikk

Industriell matematikk

Additional Fields

Identifer	oai:union.ndltd.org:UPSALLA/oai:DiVA.org:ntnu-9434
Date	January 2006
Creators	Thuen, Øystein Øvreås
Publisher	Norwegian University of Science and Technology, Department of Mathematical Sciences, Institutt for matematiske fag
Source Sets	DiVA Archive at Upsalla University
Language	English
Detected Language	English
Type	Student thesis, text