Research Communication | Open Access
Volume 2021 | Communication ID 67
Volume 2021 | Communication ID 67
| Cryptography over twisted Hessian curves of the ring Fq[e],e^2=0 |
Grini Abdelali, Abdelhakim Chillali
Received |
Accepted |
Published |
January 25, 2021 |
February 15, 2021 |
March 15, 2021 |
Abstract: In [4] Bernstein et al. have defined the twisted Hessian curves over a field, then in [2-3] we studied these types of curves on a local ring Fq[ε], ε^2=0, where Fq is a finite field and q is a power of a prime number p≥5. In this communication, we present a twisted Hessian curves cryptography over the local ring Fq[ε], ε^2=0. The motivation for this work came from the observation that cryptography plays an important role in providing data security. In a first time, we describe these curves defined over this ring. Then, we give an application of twisted Hessian curve Diffie-Hellman key ...