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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Construction of Elliptic Curves with Complex Multiplication

Construction of Elliptic Curves with Complex Multiplication

Canbay Özkan

Paperback

General Computers

ISBN10: 3639449754
ISBN13: 9783639449754
Publisher: Blues Kids Of Amer
Published: Sep 26 2012
Pages: 124
Weight: 0.42
Height: 0.29 Width: 6.00 Depth: 9.00
Language: English
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 Weierstra 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 Weierstra curve by the twisted Edwards curve.

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