Constructing elliptic curve isogenies in quantum subexponential time

Given two ordinary elliptic curves over a finite field having the same cardinality and endomorphism ring, it is known that the curves admit a nonzero isogeny between them, but finding such an isogeny is believed to be computationally difficult. The fastest known classical algorithm takes exponential...

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Bibliographic Details
Main Authors: Childs Andrew, Jao David, Soukharev Vladimir
Format: Article
Language:English
Published: De Gruyter 2014-02-01
Series:Journal of Mathematical Cryptology
Subjects:
Online Access:https://doi.org/10.1515/jmc-2012-0016