Genus two isogeny cryptography

We study (ℓ,ℓ) -isogeny graphs of principally polarised supersingular abelian surfaces (PPSSAS). The (ℓ,ℓ) -isogeny graph has cycles of small length that can be used to break the collision resistance assumption of the genus two isogeny hash function suggested by Takashima. Algorithms for computin...

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Bibliographic Details
Main Authors: Flynn, E, Ti, Y
Format: Conference item
Published: Springer, Cham 2019

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