# Decoding supercodes of Gabidulin codes and applications to cryptanalysis

@article{Bombar2021DecodingSO, title={Decoding supercodes of Gabidulin codes and applications to cryptanalysis}, author={Maxime Bombar and Alain Couvreur}, journal={IACR Cryptol. ePrint Arch.}, year={2021}, volume={2021}, pages={348} }

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.

## 2 Citations

### McEliece-type encryption based on Gabidulin codes with no hidden structure

- Computer ScienceIACR Cryptol. ePrint Arch.
- 2022

A new McEliece-type encryption scheme based on Gabidulin codes, which uses linearized transformations to disguise the private key, which is shown to resist all the known distinguisher-based attacks, and also has a very small public key size.

### Right-hand side decoding of Gabidulin code and applications

- Computer ScienceArXiv
- 2021

The full presentation of a decoding algorithm for Gabidulin codes, which as Loidreau’s seminal algorithm consists in localizing errors in the spirit of Berlekamp–Welch algorithm for Reed– Solomon codes, is given.

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We propose the new rank-metric code-based cryptosystem which is based on the hardness of list decoding and interleaved decoding of Gabidulin codes. is an improved variant of the Faure–Loidreau (FL)…

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