Constructing elliptic curves over finite fields using complex multiplication

dc.contributor.advisor	Roudakov, Alexei	nb_NO
dc.contributor.advisor	Gjøsteen, Kristian	nb_NO
dc.contributor.author	Thuen, Øystein Øvreås	nb_NO
dc.date.accessioned	2014-12-19T13:57:46Z
dc.date.available	2014-12-19T13:57:46Z
dc.date.created	2010-09-04	nb_NO
dc.date.issued	2006	nb_NO
dc.identifier	348356	nb_NO
dc.identifier	ntnudaim:1419	nb_NO
dc.identifier.uri	http://hdl.handle.net/11250/258343
dc.description.abstract	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.	nb_NO
dc.language	eng	nb_NO
dc.publisher	Institutt for matematiske fag	nb_NO
dc.subject	ntnudaim	no_NO
dc.subject	SIF3 fysikk og matematikk	no_NO
dc.subject	Industriell matematikk	no_NO
dc.title	Constructing elliptic curves over finite fields using complex multiplication	nb_NO
dc.type	Master thesis	nb_NO
dc.source.pagenumber	67	nb_NO
dc.contributor.department	Norges teknisk-naturvitenskapelige universitet, Fakultet for informasjonsteknologi, matematikk og elektroteknikk, Institutt for matematiske fag	nb_NO