Articoli correlati a Construction of Elliptic Curves with Complex Multiplication:...

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

Canbay, Özkan

 
9783639449754: Construction of Elliptic Curves with Complex Multiplication: Applied to Primality Testing
Brossura
ISBN 10: 3639449754 ISBN 13: 9783639449754
Casa editrice: AV Akademikerverlag, 2012

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Informazioni sull'autore

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.

Dalla quarta di copertina

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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
AV Akademikerverlag
Data di pubblicazione
2012
Lingua
Inglese
ISBN 10 
3639449754
ISBN 13 
9783639449754
Rilegatura
Copertina flessibile
Numero di pagine
124
Contatto del produttore
non disponibile
Persona responsabile
non disponibile