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Two new theoretical approaches for the hardware realization of high speed elliptic curve point multiplication over a prime field (GF(p)) are presented. These hardware implementations use multiple units of elliptic curve point doublers, point adders and multiplexers. The modular hardware approach used here provides high speed and scalability.

HARDWARE REALIZATION OF HIGH SPEED ELLIPTIC CURVE POINT MULTIPLICATION USING PRECOMPUTATION OVER GF(P)