In this paper, we present an Edwards model for elliptic curves which is de ned over any perfect eld and in particular over nite elds. This Edwards model is birationally equivalent to the well known Edwards model over non-binary elds and is ordinary over binary elds. For this, we use theta functions of level four to obtain an intermediate model that we callâ€¦ (More)

In this paper, we present a generalization of Edwards model for elliptic curve which is de ned over any eld and in particular for eld of characteristic 2. This model generalize the well known Edwards model of [10] over characteristic zero eld, moreover it de ne an ordinary elliptic curve over binary elds. For this, we use the theory of theta functions andâ€¦ (More)