Special ideal ring A3 and cryptography
My Hachem Hassib, Abdelhakim Chillali, Mohamed Abdou Elomary · 2013
In [1] and [2] we defined the elliptic curve over the ring F3d[ε],ε2= 0. In this work we will give some properties of the elliptic curve over the special ideal ring of characteristic 3, A3= F3d[ε],ε3= 0, and an application in cryptography. Our future work will focus on the study of the general case of these rings, which seem to be beneficial and interesting in cryptography, specially the one based on the identity (IBE) [6]. [7], [8].