{"product_id":"construction-of-elliptic-curves-with-canbay-zzkan-9783639449754","title":"Construction of Elliptic Curves with Complex Multiplication","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 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Canbay Özkan\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3639449754\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783639449754\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e AV Akademikerverlag\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 09\/26\/2012\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 124\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.42lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 0.29d","brand":"Canbay Özkan","offers":[{"title":"Paperback","offer_id":48217632932095,"sku":"9783639449754","price":43.15,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_424dd214-2d91-464b-a6ef-8f956b3da597.jpg?v=1771998450","url":"https:\/\/www.whiterainbookhouse.com\/products\/construction-of-elliptic-curves-with-canbay-zzkan-9783639449754","provider":"WR Book House","version":"1.0","type":"link"}