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(Un)breakable curses - re-encryption in the Fujisaki-Okamoto transform

Authors:
Kathrin Hövelmanns , Eindhoven University of Technology
Andreas Hülsing , Eindhoven University of Technology
Christian Majenz , Technical University of Denmark
Fabrizio Sisinni , Technical University of Denmark
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Conference: EUROCRYPT 2025
Abstract: The Fujisaki-Okamoto transform (FO) is the go-to method for achieving chosen-ciphertext (CCA) security for post-quantum key encapsulation mechanisms (KEMs). An important step in FO is augmenting the decryption/ decapsulation algorithm with a re-encryption step -- the decrypted message is re-encrypted to check whether the correct encryption randomness was used. While solving a security problem (ciphertext-malleability), re-encryption has turned out to introduce side-channel vulnerabilities and is computationally expensive, which has lead designers to searching for alternatives. In this work, we perform a comprehensive study of such alternatives. We formalize a central security property, computational rigidity, and show that it is sufficient for obtaining CCA security. We present a framework for analyzing algorithms that can replace re-encryption and still achieve rigidity, and analyze existing proposals in this framework. Along the way, we pick up a novel QROM security statement for explicitly rejecting KEMs based on deterministic PKE schemes, something that so far only was possible when requiring a hard-to-ensure quantum property for the base PKE scheme.
BibTeX
@inproceedings{eurocrypt-2025-35029,
  title={(Un)breakable curses - re-encryption in the Fujisaki-Okamoto transform},
  publisher={Springer-Verlag},
  author={Kathrin Hövelmanns and Andreas Hülsing and Christian Majenz and Fabrizio Sisinni},
  year=2025
}