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Construction of Elliptic Curves with Complex Multiplication: Applied to Primality Testing - Couverture souple

Canbay, Özkan

 
9783639449754: Construction of Elliptic Curves with Complex Multiplication: Applied to Primality Testing
Couverture souple
ISBN 10 : 3639449754 ISBN 13 : 9783639449754
Editeur : AV Akademikerverlag, 2012

Synopsis

An abstract model of an elliptic curve is designed as a Java-based application. In this abstract model we implement two distinct elliptic curve types: the Weierstraß curve and the twisted Edwards curve. This model will be used in the algorithm for elliptic curve construction with complex multiplication, in short the CM-method. We implement the elliptic curve primality proving algorithm (ECPP) developed by Atkin/Morain as an application of the CM-method. Instead of using pseudocode, the algorithms are represented explicitly as source code simultaneously with the underlying theory. Finally, we analyze a probable acceleration of the Atkin-Morain’s ECPP algorithm by replacing the Weierstraß curve by the twisted Edwards curve.

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Présentation de l'éditeur

An abstract model of an elliptic curve is designed as a Java-based application. In this abstract model we implement two distinct elliptic curve types: the Weierstraß curve and the twisted Edwards curve. This model will be used in the algorithm for elliptic curve construction with complex multiplication, in short the CM-method. We implement the elliptic curve primality proving algorithm (ECPP) developed by Atkin/Morain as an application of the CM-method. Instead of using pseudocode, the algorithms are represented explicitly as source code simultaneously with the underlying theory. Finally, we analyze a probable acceleration of the Atkin-Morain’s ECPP algorithm by replacing the Weierstraß curve by the twisted Edwards curve.

Biographie de l'auteur

Born in Germany 1971. In 1996 graduated as Dipl. Ingenieur (FH) in Computer Engineering. In 2012 obtained a Masters Degree in Computer Science. From 1997-2000 software developer in employment. Since 2000 freelancing consultant and software developer.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
AV Akademikerverlag
Date d'édition
2012
Langue
anglais
ISBN 10 
3639449754
ISBN 13 
9783639449754
Reliure
Broché
Nombre de pages
124
Coordonnées du fabricant
non disponible
Personne responsable
non disponible