International Journal of Applied Mathematics, Computational Science and Systems Engineering
Print ISSN: , E-ISSN: 2766-9823
Volume 2, 2020
Finite Ring of Characteristic 2 and Cryptography
Author: Abdelhakim Chillali
Abstract: In [1] and [2] we defined the elliptic curve over the ring 2 $$F_{3^d}$$ [ε ],$$ε^2$$ = 0 . In this work we will give some properties of the elliptic curve over the special ideal ring of characteristic 2 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].