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Montgomery curve : ウィキペディア英語版 | Montgomery curve In mathematics the Montgomery curve is a form of elliptic curve, different from the usual Weierstrass form, introduced by Peter L. Montgomery in 1987. It is used for certain computations, and in particular in different cryptography applications. ==Definition==
A Montgomery curve over a field is defined by the equation: :: for certain and with . Generally this curve is considered over a finite field ''K'' (for example over a finite field of elements, ) with characteristic different from 2 and with but they are also considered over the rationals with the same restrictions for and .
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「Montgomery curve」の詳細全文を読む
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