A method for accelerating cryptographic operations on...

Details A method for accelerating cryptographic operations on... A method for accelerating cryptographic operations on...

G - Physics

06

F

G06F 7/72 (2006.01)

Patent

CA 2353395

This invention provides a method for accelerating multiplication of an elliptic curve point Q(x,y) by a scalar k, the method comprising the steps of selecting an elliptic curve over a finite field Fq where q is a prime power such that there exists an endomorphism ~, where ~(Q) = .lambda..Q for all points Q(x,y) on the elliptic curve; and using smaller representations ki of the scalar k in combination with the mapping ~ to compute the scalar multiple of the elliptic curve point Q.

Cette invention concerne un procédé d'accélération de la multiplication d'un point de courbe elliptique Q(x,y) par une k scalaire, le procédé comprenant les étapes consistant à sélectionner une courbe elliptique sur un champ fini Fq dans lequel q représente une puissance de nombre premier de manière qu'il existe un endomorphisme ~, dans lequel ~(Q) = .lambda..Q pour tous les points Q(x,y) sur la courbe elliptique, et à utiliser des représentations k¿i? plus petites de k scalaire en combinaison avec la cartographie ~ pour calculer le multiple scalaire du point Q de la courbe elliptique.

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