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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 Tripling-oriented Doche–Icart–Kohel curve ： ウィキペディア英語版 Tripling-oriented Doche–Icart–Kohel curve The tripling-oriented Doche–Icart–Kohel curve is a form of an elliptic curve that has been used lately in cryptography; it is a particular type of Weierstrass curve. At certain conditions some operations, as adding, doubling or tripling points, are faster to compute using this form. The Tripling oriented Doche–Icart–Kohel curve, often called with the abbreviation 3DIK 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 of characteristic different form 2 and 3. An elliptic curve in tripling oriented Doche–Icart–Kohel form is defined by the equation: : $T\_a\backslash \; :\backslash \; y^2\; =\; x^3\; +\; 3a(x+1)^2$ with $a\backslash in\; K$. A general point ''P'' on $T\_$ has affine coordinates $(x,y)$. The "point at infinity" represents the neutral element for the group law and it is written in projective coordinates as O = (0:1:0). The negation of a point ''P'' = (''x'', ''y'') with respect to this neutral element is −''P'' = (''x'', −''y''). 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「Tripling-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.