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Paper: CSIDH: An Efficient Post-Quantum Commutative Group Action

Authors:
Wouter Castryck
Tanja Lange
Chloe Martindale
Lorenz Panny
Joost Renes
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DOI: 10.1007/978-3-030-03332-3_15
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Conference: ASIACRYPT 2018
Abstract: We propose an efficient commutative group action suitable for non-interactive key exchange in a post-quantum setting. Our construction follows the layout of the Couveignes–Rostovtsev–Stolbunov cryptosystem, but we apply it to supersingular elliptic curves defined over a large prime field $$\mathbb F_p$$, rather than to ordinary elliptic curves. The Diffie–Hellman scheme resulting from the group action allows for public-key validation at very little cost, runs reasonably fast in practice, and has public keys of only 64 bytes at a conjectured AES-128 security level, matching NIST’s post-quantum security category I.
BibTeX
@inproceedings{asiacrypt-2018-29196,
  title={CSIDH: An Efficient Post-Quantum Commutative Group Action},
  booktitle={Advances in Cryptology – ASIACRYPT 2018},
  series={Lecture Notes in Computer Science},
  publisher={Springer},
  volume={11274},
  pages={395-427},
  doi={10.1007/978-3-030-03332-3_15},
  author={Wouter Castryck and Tanja Lange and Chloe Martindale and Lorenz Panny and Joost Renes},
  year=2018
}