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Radical 22-Isogenies and Cryptographic Hash Functions in Dimensions 1,21, 2 and 33

par Kunzweiler, Sabrina;Maino, Luciano;Moriya, Tomoki;Petit, Christophe ;Pope, Giacomo;Robert, Damiens ;Stopar, Miha ;Ti, Yan Bo
Référence Lecture notes in computer science, 15676 LNCS, page (265-299)
Publication Publié, 2025-01-01

Article révisé par les pairs

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Résumé :

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 function. Notably, the three-dimensional version is the fastest, which demonstrates yet another potential of using higher-dimensional isogeny graphs in cryptography.