Breaking Rainbow Takes a Weekend on a Laptop

Ward Beullens

Paper 2022/214

Breaking Rainbow Takes a Weekend on a Laptop

Ward Beullens

, IBM Research - Zurich

Abstract

This work introduces new key recovery attacks against the Rainbow signature scheme, which is one of the three finalist signature schemes still in the NIST Post-Quantum Cryptography standardization project. The new attacks outperform previously known attacks for all the parameter sets submitted to NIST and make a key-recovery practical for the SL 1 parameters. Concretely, given a Rainbow public key for the SL 1 parameters of the second-round submission, our attack returns the corresponding secret key after on average 53 hours (one weekend) of computation time on a standard laptop.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Preprint.
Keywords: multivariate cryptography cryptanalyis NIST PQC Rainbow
Contact author(s): ward @ beullens com
History: 2022-06-21: last of 3 revisions; 2022-02-25: received; See all versions
Short URL: https://ia.cr/2022/214
License: CC BY

BibTeX

@misc{cryptoeprint:2022/214,
      author = {Ward Beullens},
      title = {Breaking Rainbow Takes a Weekend on a Laptop},
      howpublished = {Cryptology {ePrint} Archive, Paper 2022/214},
      year = {2022},
      url = {https://eprint.iacr.org/2022/214}
}