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- W55217085 abstract "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-Morains ECPP algorithm by replacing the Weierstra curve by the twisted Edwards curve." @default.
- W55217085 created "2016-06-24" @default.
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- W55217085 date "2012-09-26" @default.
- W55217085 modified "2023-09-26" @default.
- W55217085 title "Construction of Elliptic Curves with Complex Multiplication: Applied to Primality Testing" @default.
- W55217085 hasPublicationYear "2012" @default.
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