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Isolated elliptic curves and the MOV attack

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 almost always have a large embedding degree,...

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Autore principale: Scholl Travis
Natura: Artigo
Lingua:Inglês
Pubblicazione: De Gruyter 2017-10-01
Serie:Journal of Mathematical Cryptology
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Accesso online:https://doi.org/10.1515/jmc-2016-0053
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