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Title:
Adaptive Attack on Static POKÉ Keys
Authors: David Lim, Yan Bo Ti
Abstract:Isogeny-based cryptosystems continue to show promise in post-quantum cryptography. In recent years, numerous constructions have been proposed, one of which is POKÉ, a compact and efficient public-key exchange system that uses higher-dimensional isogenies. This paper leverages a well-known adaptive attack on SIDH by Galbrath, Petit, Shani and Ti, and demonstrates a similar attack on POKÉ, when given a key exchange oracle with the same assumptions as those posed by Galbraith et al. This attack relies on the user to employ long-term static keys which is against the intent of the designers of POKÉ. Indeed, this attack provides further evidence that POKÉ should not be used with a long-term static key.
ePrint: https://eprint.iacr.org/2025/1541
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