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