Items related to Construction of Elliptic Curves with Complex Multiplication:...

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

Canbay, Özkan

 
9783639449754: Construction of Elliptic Curves with Complex Multiplication: Applied to Primality Testing
Softcover
ISBN 10: 3639449754 ISBN 13: 9783639449754
Publisher: 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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About the Author

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.

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Publisher
AV Akademikerverlag
Publication date
2012
Language
English
ISBN 10 
3639449754
ISBN 13 
9783639449754
Binding
Paperback
Number of pages
124