English

Decoding supercodes of Gabidulin codes and applications to cryptanalysis

Cryptography and Security 2021-11-22 v3 Information Theory math.IT

Abstract

This article discusses the decoding of Gabidulin codes and shows how to extend the usual decoder to any supercode of a Gabidulin code at the cost of a significant decrease of the decoding radius. Using this decoder, we provide polynomial time attacks on the rank-metric encryption schemes RAMESSES and LIGA.

Keywords

Cite

@article{arxiv.2103.02700,
  title  = {Decoding supercodes of Gabidulin codes and applications to cryptanalysis},
  author = {Maxime Bombar and Alain Couvreur},
  journal= {arXiv preprint arXiv:2103.02700},
  year   = {2021}
}

Comments

PQCrypto 2021. The Sage code is available on Github: https://github.com/mbombar/Attack_on_LIGA

R2 v1 2026-06-23T23:43:53.067Z