Elliptic curves over the ring R

Let Fq be a finite field of q elements, where q is a power of a prime number p greater than or equal to 5. In this paper, we study the elliptic curve denoted Ea,b(Fq[e]) over the ring Fq[e], where e2 = e and (a,b) ∈ (Fq[e])2. In a first time, we study the arithmetic of this ring. In addition, using the...

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Bibliographic Details
Main Authors: A. Boulbot, Abdelhakim Chillali, A. Mouhib
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2019-02-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/39868