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math.NT2019
On the supersingular GPST attack
Andrea Basso, Fabien Pazuki
We explain why the first Galbraith-Petit-Shani-Ti attack on the Supersingular Isogeny Diffie-Hellman and the Supersingular Isogeny Key Encapsulation fails in some cases.
math.NT2019
Heights and isogenies of Drinfeld modules
Florian Breuer, Fabien Pazuki, Mahefason Heriniaina Razafinjatovo
We provide explicit bounds on the difference of heights of isogenous Drinfeld modules. We derive a finiteness result in isogeny classes. In the rank 2 case, we also obtain an expli…