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Construction of Elliptic Curves with Complex Multiplication: Applied to Primality Testing - Tapa blanda

Canbay, Özkan

 
9783639449754: Construction of Elliptic Curves with Complex Multiplication: Applied to Primality Testing
Tapa blanda
ISBN 10: 3639449754 ISBN 13: 9783639449754
Editorial: AV Akademikerverlag, 2012

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

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.

De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
AV Akademikerverlag
Año de publicación
2012
Idioma
Inglés
ISBN 10 
3639449754
ISBN 13 
9783639449754
Encuadernación
Tapa blanda
Número de páginas
124
Contacto del fabricante
no disponible
Persona responsable
no disponible