Elliptic curve cryptosystem apparatus, storage medium...

H - Electricity – 04 – L

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H04L 9/28 (2006.01) G06F 7/72 (2006.01)

Patent

CA 2414057

A scalar multiplication can be performed on an elliptic curve cryptosystem at a high speed. P is set as an initial value of Q[0], and 2 x P is set as an initial value of Q[1]. An elliptic curve doubling ECDBL of Q[d[i]] is performed, and an arithmetic result is stored in Q[2]. An elliptic curve addition ECADD of Q[0] and Q[1] is performed, and an arithmetic result is stored in Q[1]. Q [2- d[i]] is stored in Q[0]. Q[1 + d[i]] is stored in Q[1]. The elliptic curve addition ECADD and the elliptic curve doubling ECDBL are concurrently performed in the respective processors.

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