In this work, we study the elliptic curve over the ring;; where d is a positive integer. More
precisely in cryptography applications, we will give many various explicit formulas …

In this work, we are going to study the elliptic curves over the ring A 3=(F 2 d [X])/(X 3),
precisely we will establish the short exact sequence which is split, and we will define the …

In this work, we will present an example of encryption and decryption, by using the elliptic
curve defined over the ring A 2= F 2 d [ε], where d is a positive integer and ε 2= 0. The …

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 work, we came to present the elliptic curves over a nonlocal ring A= 2 d [X](X 2− X),
where 2 d is a finite field of characteristic 2, and d is a prime integer. We consider an elliptic …

In this work, we will present an example of encryption and decryption, by using the elliptic
curve defined over the ring A2= F2d [ε], where d is a positive integer and ε2= 0. The …

In this work, we came to present the elliptic curves over a nonlocal ring A= 𝔽 2 d [X](X 2− X),
where 𝔽 2 d is a finite field of characteristic 2, and d is a prime integer. We consider an …

Accepted Manuscript Page 1 Accepted Manuscript Title: Cryptography over the elliptic
curveEa,b(A3) This work is related tothe International Workshop of Algebra and Applications …

The sum over Page 1  Abstract—Let d is a positive integer. In this article we will study the
elliptic curve defined over the ring ; . More precisely we will give many various explicit …

Elliptic curve cryptography (ECC) is a public key cryptography. In public key cryptography
each user or the device taking part in the communication generally have a pair of keys, a …