Projective Space Stern Decoding and Application to SDitH
Information Theory
2023-12-06 v1 Cryptography and Security
math.IT
Abstract
We show that here standard decoding algorithms for generic linear codes over a finite field can speeded up by a factor which is essentially the size of the finite field by reducing it to a low weight codeword problem and working in the relevant projective space. We apply this technique to SDitH and show that the parameters of both the original submission and the updated version fall short of meeting the security requirements asked by the NIST.
Keywords
Cite
@article{arxiv.2312.02607,
title = {Projective Space Stern Decoding and Application to SDitH},
author = {Kevin Carrier and Valérian Hatey and Jean-Pierre Tillich},
journal= {arXiv preprint arXiv:2312.02607},
year = {2023}
}