Public key cryptography utilizing elliptic curves

G - Physics – 06 – F

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G06F 7/00 (2006.01) G06F 7/38 (2006.01) G06F 7/72 (2006.01) H04L 9/06 (2006.01) H04L 9/30 (2006.01)

Patent

CA 2129203

An elliptic curve encryption system represents coordinates of a point on the curve as a vector of binary digits in a normal basis representation. A key is generated from multiple additions of one or more points in a finite field. Inverses of values are computed using a finite field multiplier and successive exponentiations.

Système de cryptage qui représente les coordonnées d'un point sur une courbe en tant que vecteur de bits dans une représentation de base normale. Une clé est générée à partir d'ajouts multiples d'un ou plusieurs points dans un champ fini. Les inverses des valeurs sont calculées à l'aide d'un multiplicateur de champ fini et d'exponentiations successives.

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