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Generic Authenticated Key Exchange in the Quantum Random Oracle Model

Authors:
Kathrin Hövelmanns
Eike Kiltz
Sven Schäge
Dominique Unruh
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DOI: 10.1007/978-3-030-45388-6_14
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Abstract: We propose mathsfFOmathsfAKE , a generic construction of two-message authenticated key exchange (AKE) from any passively secure public key encryption (PKE) in the quantum random oracle model (QROM). Whereas previous AKE constructions relied on a Diffie-Hellman key exchange or required the underlying PKE scheme to be perfectly correct, our transformation allows arbitrary PKE schemes with non-perfect correctness. Dealing with imperfect schemes is one of the major difficulties in a setting involving active attacks. Our direct construction, when applied to schemes such as the submissions to the recent NIST post-quantum competition, is more natural than previous AKE transformations. Furthermore, we avoid the use of (quantum-secure) digital signature schemes which are considerably less efficient than their PKE counterparts. As a consequence, we can instantiate our AKE transformation with any of the submissions to the recent NIST competition, e.g., ones based on codes and lattices. mathsfFOmathsfAKE can be seen as a generalisation of the well known Fujisaki-Okamoto transformation (for building actively secure PKE from passively secure PKE) to the AKE setting. As a helper result, we also provide a security proof for the Fujisaki-Okamoto transformation in the QROM for PKE with non-perfect correctness which is tighter and tolerates a larger correctness error than previous proofs.
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BibTeX
@article{pkc-2020-30316,
  title={Generic Authenticated Key Exchange in the Quantum Random Oracle Model},
  booktitle={Public-Key Cryptography – PKC 2020},
  series={Public-Key Cryptography – PKC 2020},
  publisher={Springer},
  volume={12111},
  pages={389-422},
  doi={10.1007/978-3-030-45388-6_14},
  author={Kathrin Hövelmanns and Eike Kiltz and Sven Schäge and Dominique Unruh},
  year=2020
}