International Association for Cryptologic Research

International Association
for Cryptologic Research


Paper: Durandal: A Rank Metric Based Signature Scheme

Nicolas Aragon
Olivier Blazy
Philippe Gaborit
Adrien Hauteville
Gilles Zémor
DOI: 10.1007/978-3-030-17659-4_25 (login may be required)
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Abstract: We describe a variation of the Schnorr-Lyubashevsky approach to devising signature schemes that is adapted to rank based cryptography. This new approach enables us to obtain a randomization of the signature, which previously seemed difficult to derive for code-based cryptography. We provide a detailed analysis of attacks and an EUF-CMA proof for our scheme. Our scheme relies on the security of the Ideal Rank Support Learning and the Ideal Rank Syndrome problems and a newly introduced problem: Product Spaces Subspaces Indistinguishability, for which we give a detailed analysis. Overall the parameters we propose are efficient and comparable in terms of signature size to the Dilithium lattice-based scheme, with a signature size of 4 kB for a public key of size less than 20 kB.
Video from EUROCRYPT 2019
  title={Durandal: A Rank Metric Based Signature Scheme},
  booktitle={Advances in Cryptology – EUROCRYPT 2019},
  series={Advances in Cryptology – EUROCRYPT 2019},
  author={Nicolas Aragon and Olivier Blazy and Philippe Gaborit and Adrien Hauteville and Gilles Zémor},