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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Doubling-oriented Doche–Icart–Kohel curve ： ウィキペディア英語版 Doubling-oriented Doche–Icart–Kohel curve In mathematics, the doubling-oriented Doche–Icart–Kohel curve is a form in which an elliptic curve can be written. It is a special case of Weierstrass form and it is also important in elliptic-curve cryptography because the doubling speeds up considerably (computing as composition of 2-isogeny and its dual). It has been introduced by Christophe Doche, Thomas Icart, and David R. Kohel in 〔Christophe Doche, Thomas Icart, and David R. Kohel, ''Efficient Scalar Multiplication by Isogeny Decompositions''〕 ==Definition== Let $K$ be a field and let $a\backslash in\; K$. Then, the Doubling-oriented Doche–Icart–Kohel curve with parameter ''a'' in affine coordinates is represented by: $y^2=x^3+ax^2+16ax$ Equivalently, in projective coordinates: $ZY^2=X^3+aZX^2+16aXZ^2,$ with $x=\backslash frac$ and $y=\backslash frac$. Notice that, since this curve is a special case of Weierstrass form, transformations to the most common form of elliptic curve (Weierstrass form) are not needed. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Doubling-oriented Doche–Icart–Kohel curve」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.