{ "item_title" : "Construction of Elliptic Curves with Complex Multiplication", "item_author" : [" Canbay Özkan "], "item_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 Weierstracurve 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 Weierstracurve by the twisted Edwards curve.", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/3/63/944/975/3639449754_b.jpg", "price_data" : { "retail_price" : "43.15", "online_price" : "43.15", "our_price" : "43.15", "club_price" : "43.15", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

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