CSIDH: An efficient post-quantum commutative group action

Wouter Castryck, Tanja Lange, Chloe Martindale, Lorenz Panny, Joost Renes

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

24 Citations (Scopus)

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’s post-quantum security category I.

Original languageEnglish
Title of host publicationAdvances in Cryptology – ASIACRYPT 2018 - 24th International Conference on the Theory and Application of Cryptology and Information Security, Proceedings
EditorsThomas Peyrin, Steven Galbraith
Place of PublicationBerlin
PublisherSpringer
Pages395-427
Number of pages33
ISBN (Print)9783030033316
DOIs
Publication statusPublished - 1 Jan 2018
Event24th Annual International Conference on Theory and Application of Cryptology and Information Security, (ASIACRYPT 2018) - Brisbane, Australia
Duration: 2 Dec 20186 Dec 2018
https://asiacrypt.iacr.org/2018/

Publication series

NameLecture Notes in Computer Science
Volume11274
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference24th Annual International Conference on Theory and Application of Cryptology and Information Security, (ASIACRYPT 2018)
Abbreviated titleASIACRYPT2018
CountryAustralia
CityBrisbane
Period2/12/186/12/18
Internet address

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Keywords

  • Class-group action
  • Isogeny-based cryptography
  • Key confirmation
  • Non-interactive key exchange
  • Post-quantum cryptography

Cite this

Castryck, W., Lange, T., Martindale, C., Panny, L., & Renes, J. (2018). CSIDH: An efficient post-quantum commutative group action. In T. Peyrin, & S. Galbraith (Eds.), Advances in Cryptology – ASIACRYPT 2018 - 24th International Conference on the Theory and Application of Cryptology and Information Security, Proceedings (pp. 395-427). (Lecture Notes in Computer Science; Vol. 11274). Berlin: Springer. https://doi.org/10.1007/978-3-030-03332-3_15