Constructing elliptic curves over finite fields using complex multiplication

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 pairi...

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Bibliographic Details
Main Author: Thuen, Øystein Øvreås
Format: Others
Language:English
Published: Norges teknisk-naturvitenskapelige universitet, Institutt for matematiske fag 2006
Subjects:
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-9434