Introducing Ramanujan's Class Polynomials in the Generation of Prime Order Elliptic Curves

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dc.creatorKonstantinou, Elisavet
dc.creatorKontogeorgis, Aristides
dc.date2008-04-10
dc.date.accessioned2026-07-07T09:31:31Z
dc.date.available2026-07-07T09:31:31Z
dc.descriptionIn this paper, we propose the use of Ramanujan class of polynomials for the construction of prime order elliptic curves using the CM-method. We compare (theoretically and experimentally) the efficiency of using this new class against the use of the Weber, $M_{D,l}(x)$ and $M_{D,p_1,p_2}(x)$ polynomials and show that they clearly outweigh all of them in the generation of prime order elliptic curves.
dc.identifierhttps://arxiv.org/abs/0804.1652
dc.identifierhttp://arxiv.org/abs/0804.1652
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158489
dc.subjectNumber Theory
dc.subject11G20,14H52
dc.titleIntroducing Ramanujan's Class Polynomials in the Generation of Prime Order Elliptic Curves
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