On the supersingular GPST attack
Andrea Basso, Fabien Pazuki
TL;DR
This paper analyzes the limitations of the initial GPST attack on supersingular isogeny-based cryptography, explaining why it fails in certain scenarios and providing insights into its vulnerabilities.
Contribution
It clarifies the reasons behind the failure of the first GPST attack on supersingular isogeny cryptography in specific cases.
Findings
The GPST attack does not always succeed against SSIDH and SIKC.
Certain structural properties cause the attack to fail.
Understanding these failures helps improve cryptographic security.
Abstract
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.
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