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Paper 2024/946

Provably Secure Butterfly Key Expansion from the CRYSTALS Post-Quantum Schemes

Edward Eaton, National Research Council Canada
Philippe Lamontagne, National Research Council Canada, Université de Montréal
Peter Matsakis, National Research Council Canada
Abstract

This work presents the first provably secure protocol for Butterfly Key Expansion (BKE) -- a tripartite protocol for provisioning users with pseudonymous certificates -- based on post-quantum cryptographic schemes. Our work builds upon the CRYSTALS family of post-quantum algorithms that have been selected for standardization by NIST. We extend those schemes by imbuing them with the additional functionality of public key expansion: a process by which pseudonymous public keys can be derived by a single public key. Our work is the most detailed analysis yet of BKE: we formally define desired properties of BKE -- unforgeability and unlinkability -- as cryptographic games, and prove that BKE implemented with our modified CRYSTALS schemes satisfy those properties. We implemented our scheme by modifying the Kyber and Dilithium algorithms from the LibOQS project, and we report on our parameter choices and the performance of the schemes.

Metadata
Available format(s)
PDF
Category
Applications
Publication info
Preprint.
Keywords
Pseudonymous CertificatesKyberDilithiumPost-Quantum
Contact author(s)
Philippe Lamontagne2 @ cnrc-nrc gc ca
History
2024-06-13: approved
2024-06-12: received
See all versions
Short URL
https://ia.cr/2024/946
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2024/946,
      author = {Edward Eaton and Philippe Lamontagne and Peter Matsakis},
      title = {Provably Secure Butterfly Key Expansion from the {CRYSTALS} Post-Quantum Schemes},
      howpublished = {Cryptology {ePrint} Archive, Paper 2024/946},
      year = {2024},
      url = {https://eprint.iacr.org/2024/946}
}
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