Classification of Elements in Elliptic Curve Over the Ring 𝔽q[ɛ]

Let 𝔽q[ɛ] := 𝔽q [X]/(X4 − X3) be a finite quotient ring where ɛ4 = ɛ3, with 𝔽q is a finite field of order q such that q is a power of a prime number p greater than or equal to 5. In this work, we will study the elliptic curve over 𝔽q[ɛ], ɛ4 = ɛ3 of characteristic p ≠ 2, 3 given by homogeneous Weiers...

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Bibliographic Details
Main Authors: Selikh Bilel, Mihoubi Douadi, Ghadbane Nacer
Format: Article
Language:English
Published: Sciendo 2021-11-01
Series:Discussiones Mathematicae - General Algebra and Applications
Subjects:
Online Access:https://doi.org/10.7151/dmgaa.1371