A method for accelerating cryptographic operations on...

G - Physics – 06 – F

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G06F 17/10 (2006.01) G06F 7/72 (2006.01) H04L 9/30 (2006.01)

Patent

CA 2257008

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 .PSI., where .PSI.(Q) = .lambda..cndot.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 .PSI. to compute the scalar multiple of the elliptic curve point Q.

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