Results 1 to 10 of about 541 (49)
On Types of Elliptic Pseudoprimes [PDF]
Groups, Complexity, Cryptology, 2021 We generalize the notions of elliptic pseudoprimes and elliptic Carmichael numbers introduced by Silverman to analogues of Euler-Jacobi and strong pseudoprimes.
L. Babinkostova +2 more
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Tate module and bad reduction [PDF]
, 2020 Let C/K be a curve over a local field. We study the natural semilinear action of Galois on the minimal regular model of C over a field F where it becomes semistable.
Dokchitser, Tim +2 more
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TRANSPORT PARALLÈLE ET CORRESPONDANCE DE SIMPSON $p$ -ADIQUE
Forum of Mathematics, Sigma, 2017 Deninger et Werner ont développé un analogue pour les courbes $p$ -adiques de la correspondance classique de Narasimhan et Seshadri entre les fibrés ...
DAXIN XU
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On the Mertens Conjecture for Elliptic Curves over Finite Fields [PDF]
, 2013 We introduce an analogue of the Mertens conjecture for elliptic curves over finite fields. Using a result of Waterhouse, we classify the isogeny classes of elliptic curves for which this conjecture holds in terms the size of the finite field and the ...
Humphries, Peter
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COMPUTING IMAGES OF GALOIS REPRESENTATIONS ATTACHED TO ELLIPTIC CURVES
Forum of Mathematics, Sigma, 2016 Let $E$ be an elliptic curve without complex multiplication (CM) over a number field $K$
ANDREW V. SUTHERLAND
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A complete characterization of Galois subfields of the generalized Giulietti--Korchm\'aros function field [PDF]
, 2016 We give a complete characterization of all Galois subfields of the generalized Giulietti--Korchm\'aros function fields $\mathcal C_n / \fqn$ for $n\ge 5$.
Anbar, Nurdagül +2 more
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Complete addition laws on abelian varieties [PDF]
, 2012 We prove that under any projective embedding of an abelian variety A of dimension g, a complete system of addition laws has cardinality at least g+1, generalizing of a result of Bosma and Lenstra for the Weierstrass model of an elliptic curve in P^2.
Arene, Christophe +2 more
core +3 more sources
Isolated elliptic curves and the MOV attack
Journal of Mathematical Cryptology, 2017 We present a variation on the CM method that produces elliptic curves over prime fields with nearly prime order that do not admit many efficiently computable isogenies. Assuming the Bateman–Horn conjecture, we prove that elliptic curves produced this way
Scholl Travis
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Journal of Mathematical Cryptology, 2015 In this paper we present a new method of choosing primitive elements for Brezing–Weng families of pairing-friendly elliptic curves with small rho-values, and we improve on previously known best rho-values of families [J.
Yoon Kisoon
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Curves, dynamical systems and weighted point counting [PDF]
, 2012 Suppose X is a (smooth projective irreducible algebraic) curve over a finite field k. Counting the number of points on X over all finite field extensions of k will not determine the curve uniquely. Actually, a famous theorem of Tate implies that two such
Cornelissen, Gunther
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