Welcome to the resource topic for 2024/1732
Title:
Radical 2-isogenies and cryptographic hash functions in dimensions 1, 2 and 3
Authors: Sabrina Kunzweiler, Luciano Maino, Tomoki Moriya, Christophe Petit, Giacomo Pope, Damien Robert, Miha Stopar, Yan Bo Ti
Abstract:We provide explicit descriptions for radical 2-isogenies in dimensions
one, two and three using theta coordinates. These formulas allow us to efficiently
navigate in the corresponding isogeny graphs.
As an application of this, we implement different versions of the CGL hash func-
tion. Notably, the three-dimensional version is fastest, which demonstrates yet
another potential of using higher dimensional isogeny graphs in cryptography.
ePrint: https://eprint.iacr.org/2024/1732
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