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Authenticated Key Exchange from Ideal Lattices

Jiang Zhang Trusted Computing and Information Assurance Laboratory, SKLCS, Institute of Software, Chinese Academy of Sciences, Beijing, China Zhenfeng Zhang Trusted Computing and Information Assurance Laboratory, SKLCS, Institute of Software, Chinese Academy of Sciences, Beijing, China Jintai Ding Heshi Inc., Shixenze, China; Department of Mathematical Sciences, University of Cincinnati, Cincinnati, USA Michael Snook Department of Mathematical Sciences, University of Cincinnati, Cincinnati, USA Özgür Dagdelen Technische Universität Darmstadt, Darmstadt, Germany

TBD mathscidoc:2207.43070

EUROCRYPT 2015, 719–751, 2015.4
In this paper, we present a practical and provably secure two-pass authenticated key exchange protocol over ideal lattices, which is conceptually simple and has similarities to the Diffie-Hellman based protocols such as HMQV (CRYPTO 2005) and OAKE (CCS 2013). Our method does not involve other cryptographic primitives—in particular, it does not use signatures—which simplifies the protocol and enables us to base the security directly on the hardness of the ring learning with errors problem. The security is proven in the Bellare-Rogaway model with weak perfect forward secrecy in the random oracle model. We also give a one-pass variant of our two-pass protocol, which might be appealing in specific applications. Several concrete choices of parameters are provided, and a proof-of-concept implementation shows that our protocols are indeed practical.
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@inproceedings{jiang2015authenticated,
  title={Authenticated Key Exchange from Ideal Lattices},
  author={Jiang Zhang, Zhenfeng Zhang, Jintai Ding, Michael Snook, and Özgür Dagdelen},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220714144325863959648},
  booktitle={EUROCRYPT 2015},
  pages={719–751},
  year={2015},
}
Jiang Zhang, Zhenfeng Zhang, Jintai Ding, Michael Snook, and Özgür Dagdelen. Authenticated Key Exchange from Ideal Lattices. 2015. In EUROCRYPT 2015. pp.719–751. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220714144325863959648.
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