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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:
:M_: By^2 = x^3 + Ax^2 + x
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)
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