Cryptology ePrint Archive: Report 2018/1179

Elliptic Curves in Generalized Huff's Model

Ronal Pranil Chand and Maheswara Rao Valluri

Abstract: This paper introduces elliptic curves in generalized Huff's model. These curves endowed with addition are shown to be a group over a finite field. We present formulae for point addition and doubling point on the curves and evaluate computational cost of point addition and doubling point using projective, Jacobian and Lopez-Dahab coordinates. It is noted that the computational cost for point addition and doubling on the curves is lower on the projective coordinates than the other mentioned above coordinates.

Category / Keywords: Doubling points, elliptic curves, groups, Huff's model, projective coordinates, scalar multiplication.

Date: received 2 Dec 2018

Contact author: maheswara valluri at fnu ac fj; ronal chand@fnu ac fj

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Version: 20181205:143502 (All versions of this report)

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