{"product_id":"construction-of-elliptic-curves-with-complex-multiplication-applied-to-primality-testing-3639449754","title":"Construction of Elliptic Curves with Complex Multiplication: Applied to Primality Testing","description":"\u003cp\u003e\u003cstrong\u003eISBN:\u003c\/strong\u003e 3639449754\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eAuthor:\u003c\/strong\u003e Canbay,\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eCondition:\u003c\/strong\u003e New\u003c\/p\u003e\u003cp\u003eAn 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.\u003c\/p\u003e","brand":"Mia Karts","offers":[{"title":"Default Title","offer_id":67963007041824,"sku":"NEW3639449754","price":52.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0980\/7426\/3840\/files\/61pieuN732S.jpg?v=1792904221","url":"https:\/\/miakarts.com\/en-gb\/products\/construction-of-elliptic-curves-with-complex-multiplication-applied-to-primality-testing-3639449754","provider":"Miakarts Books","version":"1.0","type":"link"}