Method and apparatus for elliptic curve cryptography and...

Details Method and apparatus for elliptic curve cryptography and... Method and apparatus for elliptic curve cryptography and...

H - Electricity

04

L

H04L 9/28 (2006.01) G06F 7/72 (2006.01) G11B 23/00 (2006.01) H04L 9/30 (2006.01)

Patent

CA 2292817

A method and an apparatus capable of realizing at a high speed an elliptic curve cryptography in a finite field of characteristic 2, in which the elliptic curve is given by y2 + xy = x3 + ax2 + b (b .noteq. 0) and an elliptic curve cryptography method which can protect private key information against leaking from deviation information of processing time to thereby defend a cipher text against a timing attack and a differential power analysis attack are provided. To this end, an arithmetic process for executing scalar multiplication arithmetic d(x, y) a constant number of times per bit of the private key d is adopted. Further, for the scalar multiplication d(x, y), a random number k is generated upon transformation of the affine coordinates (x, y) to the projective coordinates for thereby effectuating the transformation (x, y) .fwdarw. [kx, ky, k] or alternatively (x, y) .fwdarw. [k2x, k3y, k]. Thus, object for the arithmetic is varied by the random number (k).

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