A Compact Architecture for Montgomery Elliptic Curve Scalar Multiplication Processor

This paper proposes a compact architecture of a Montgomery elliptic curve scalar multiplier in a projective coordinate system over GF (2m). To minimize the gate area of the architecture, the authors use the common Z projective coordinate system where a common Z value is kept for two elliptic curve points during the calculations, which results in one register reduction. In addition, by reusing the registers the authors are able to reduce two more registers.