Multi-dimensional montgomery ladders for elliptic curves

Details Multi-dimensional montgomery ladders for elliptic curves Multi-dimensional montgomery ladders for elliptic curves

G - Physics

09

C

G09C 5/00 (2006.01) G06F 17/16 (2006.01)

Patent

CA 2593723

An algorithm is provided having a matrix phase and point addition phase that permits computation of the combination of more than two point multiples. The algorithm has particular utility in elliptic curve cryptography (ECC) such as for computing scalar multiplications in, e.g. batch ECC operations, accelerating Lenstra's ECM factoring algorithm, exploiting expanded ECC certificates (which contain pre-computed multiples of a party's public key), incremental hashing based on elliptic curves, accelerating verification of ECDSA signatures, etc.

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