A new model of binary elliptic curves

In this paper, we present a new model of elliptic curves over finite fields of characteristic 2. We first describe the group law on this new binary curve. Furthermore, this paper presents the unified addition formulas for new binary elliptic curves, that is the point addition formulas which can be used for almost all doubling and addition. Finally, this paper presents explicit addition formulas for differential addition. ? Springer-Verlag 2012.EI