Browsing Grup de Recerca en Criptografia i Grafs (INSPIRES) by Subject "Finite field"

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Distorting the volcano

Fouquet, Mireille; Miret, Josep M. (Josep Maria); Valera Martín, Javier (Elsevier, 2018)

Volcanoes of ℓ–isogenies of elliptic curves are a special case of graphs with a cycle called crater. In this paper, given an elliptic curve E of a volcano of ℓ–isogenies, we present a condition over an endomorphism ϕ ...
On the ℓ-adic valuation of the cardinality of elliptic curves over finite extensions of Fq

Miret, Josep M. (Josep Maria); Pujolàs Boix, Jordi; Valera Martín, Javier (Springer Verlag, 2015)

Let E be an elliptic curve defined over a finite field Fq of odd characteristic. Let l≠2 be a prime number different from the characteristic and dividing #E(Fq). We describe how the l-adic valuation of the number of points ...