Construction of Elliptic Curves with Complex Multiplication


Marketed By :  AV Akademikerverlag   Sold By :  Kamal Books International  
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  • Product Description

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.

Product Specifications
SKU :COC18314
Country of ManufactureIndia
Product BrandAV Akademikerverlag
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In The Box1 Piece
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