Paper 2018/282

Modeling Quantum-Safe Authenticated Key Establishment, and an Isogeny-Based Protocol

Jason LeGrow, David Jao, and Reza Azarderakhsh

Abstract

We propose a security model for authenticated key establishment in the quantum setting. Our model is the first for authenticated key establishment that allows for quantum superpositions of queries. The model builds on the classical Canetti-Krawczyk model but allows quantum interactions between the adversary and quantum oracles that emulate classical parties. We demonstrate that this new security definition is satisfiable by giving a generic construction from simpler cryptographic primitives and a specific protocol which is secure in the quantum random oracle model, under the supersingular isogeny decisional Diffie-Hellman assumption (SIDH).

Metadata
Available format(s)
PDF
Publication info
Preprint.
Keywords
Post-quantum cryptographyisogeny-based cryptographyauthenticated key establishment
Contact author(s)
jlegrow @ uwaterloo ca
History
2018-03-23: received
Short URL
https://ia.cr/2018/282
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2018/282,
      author = {Jason LeGrow and David Jao and Reza Azarderakhsh},
      title = {Modeling Quantum-Safe Authenticated Key Establishment, and an Isogeny-Based Protocol},
      howpublished = {Cryptology ePrint Archive, Paper 2018/282},
      year = {2018},
      note = {\url{https://eprint.iacr.org/2018/282}},
      url = {https://eprint.iacr.org/2018/282}
}
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