Paper 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.