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- W3148221104 abstract "In this work, we came to present the elliptic curves over a nonlocal ring [Formula: see text] where [Formula: see text] is a finite field of characteristic 2, and [Formula: see text] is a prime integer. We consider an elliptic curve given by the Weierstrass equation of the form [Formula: see text] such that [Formula: see text] are in the ring [Formula: see text] and b is invertible in [Formula: see text] see Tadmori et al. [Normal form of the elliptic curves over the finite ring, J. Math. Syst. Sci. 4 (2014) 194–196]. More precisely, we give a classification of elements of the elliptic curve over this ring, and we construct the group law over it, which allows us to prove same properties of the elliptic group [Formula: see text] by showing the isomorphism [Formula: see text]" @default.
- W3148221104 created "2021-04-13" @default.
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- W3148221104 date "2021-04-29" @default.
- W3148221104 modified "2023-09-26" @default.
- W3148221104 title "Elliptic curves over a nonlocal ring 𝔽2d[𝜀],𝜀2 = 𝜀" @default.
- W3148221104 doi "https://doi.org/10.1142/s1793557122500462" @default.
- W3148221104 hasPublicationYear "2021" @default.
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