Post-quantum cryptography from supersingular isogeny problems?

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Date(s) - 17/05/2018
11 h 00 min - 12 h 00 min

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We review existing cryptographic schemes based on the hardness of computing isogenies between supersingular isogenies, and present some attacks against them. In particular, we present techniques to accelerate the resolution of isogeny problems when the action of the isogeny on a large torsion subgroup is known, and we discuss the impact of these techniques on the supersingular key exchange protocol of Jao-de Feo.

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