Durandal: a rank metric based signature scheme

Nicolas Aragon, Olivier Blazy, Philippe Gaborit, Adrien Hauteville, and Gilles Zémor

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 less than 4kB for a public key of size less than 20kB.

Available format(s)
Category
Cryptographic protocols
Publication info
Preprint. Minor revision.
Keywords
signaturecode based cryptorank metric
Contact author(s)
gaborit @ unilim fr
History
Short URL
https://ia.cr/2018/1192

CC BY

BibTeX

@misc{cryptoeprint:2018/1192,
author = {Nicolas Aragon and Olivier Blazy and Philippe Gaborit and Adrien Hauteville and Gilles Zémor},
title = {Durandal: a rank metric based signature scheme},
howpublished = {Cryptology ePrint Archive, Paper 2018/1192},
year = {2018},
note = {\url{https://eprint.iacr.org/2018/1192}},
url = {https://eprint.iacr.org/2018/1192}
}

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