Let Fq be a finite field of order q= pd where d is a positive integer and p≥ 5 is a prime
number. M. Virat see ([9]) has studied the elliptic curve Ea, b (Fp [ǫ]) defined over the local …

The Binary Operations Calculus in H2 Key Words: Finite field, Finite ring, Local ring, Twisted
Hessian curve. Contents 1 Introdu Page 1 Bol. Soc. Paran. Mat. (3s.) v. 2022 (40) : 1–6. c …

In this paper, we are going to study the twisted Hessian curves on the local ring F _ q ϵ F q
ϵ, ϵ^ 4= 0 ϵ 4= 0, with F _ q F q is a finite field of order q= p^ bq= pb, where p is a prime …

Let Fq be a finite field, where q is a power of a prime p such that p> 5. Let\alpha be a root of
a monic polynomial of a minimal degree over Fq. In this paper, we will study elliptic curves …

Cryptography Over the Twisted Hessian Curve H3a, d. Page 354 Cryptography Over the Twisted
Hessian Curve H3 a, d Abdelâli Grini, Abdelhakim Chillali, and Hakima Mouanis Abstract In …

The theory of elliptic curves is distinguished by its diversity of the methods that have been
used in its study. The idea to examine and make sense to elliptic curve over a local …

The goal of this work is to study some arithmetic proprieties of the twisted Hessian curves
defined by a equation of type: aX 3+ Y 3+ Z 3= dXYZ on the local ring R 2= 𝔽 q [X]/(X 2) …

The goal of this chapter is to study some arithmetic proprieties of an elliptic curve defined by
a Weierstrass equation on the local ring Rn X []/(Xn), where n≥ 1 is an integer. It consists of …

In this paper, we will give some properties of the twisted Hessian curve over the ring F _ q ϵ
F q ϵ denoted by H^ 3 _ a, d H a, d 3, with F _ q F q is a finite field of order q= p^ bq= pb …

In this work, we propose a new way to use lattice theory to build a public key cryptosystem
and digital signature scheme. This cryptosystem based on the approximate closest vector …