@inproceedings{df9d119b0f5a42f1878b82bf3ed3e035,
title = "CSIDH: An efficient post-quantum commutative group action",
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 Fp, 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{\textquoteright}s post-quantum security category I.",
keywords = "Class-group action, Isogeny-based cryptography, Key confirmation, Non-interactive key exchange, Post-quantum cryptography",
author = "Wouter Castryck and Tanja Lange and Chloe Martindale and Lorenz Panny and Joost Renes",
note = "Publisher Copyright: {\textcopyright} 2018, International Association for Cryptologic Research.; 24th Annual International Conference on Theory and Application of Cryptology and Information Security, ASIACRYPT 2018 ; Conference date: 02-12-2018 Through 06-12-2018",
year = "2018",
doi = "10.1007/978-3-030-03332-3_15",
language = "English",
isbn = "9783030033316",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "395--427",
editor = "Thomas Peyrin and Steven Galbraith",
booktitle = "Advances in Cryptology – ASIACRYPT 2018 - 24th International Conference on the Theory and Application of Cryptology and Information Security, Proceedings",
}