This paper proposes the generalization of our previous work to the ring A n= F 3 d [X]/(X n).
All results found before in A 2, A 3 and A 4 [1],[2],[3] hold in A n; but the approach here is …

Coding over elliptic curves in the ring of characteristic two Page 1 Abstract—In this article we
will study the elliptic curve over the ring where d is a positive integer and More precisely we …

In [2] we defined the j-invariant of the elliptic curve over the ring An= F3d [ε], εn= 0, in [5] we
studied the elliptic curve over the ring A2, and in [6] we defined the elliptic curve over the …

In [1] and [2] we defined the elliptic curve over the ring 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 3, A 3= F …

F. 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 …

Let F3d is the finite field of order 3d with d be a positive integer, we consider A4:= F3d [ε]=
F3d [X]/(X4) is a finite quotient ring, where ε4= 0. In this paper, we will show an example of …

Let F3 d is the finite field of order 3d with d be a positive integer, we consider A4:= F3 d [ε]=
F3 d [X]/(X4) is a finite quotient ring, where ε4= 0 [5]. In this paper, we will show an example …

ELLIPTIC CURVE OVER Fp[i] Page 1 ELLIPTIC CURVE OVER Fp[i] Seddik ABDELALIM
Laboratory of Mathematics Computing and Application Department of Mathematical and …

Abstract In [11, p. 52-57], M. Virat has established the group law on the elliptic curve defined
over the ring F pd [ε], ε n= 0, where pa prime number≥ 5, d∈ ℕ* and n= 2; and in [4] A …

Accepted Manuscript Page 1 Accepted Manuscript Title: Elliptic curves over a chain ring of
characteristic 3 (International Workshop of Algebra and Applications, 2014, FST Fez …