CRITMar 3, 2021

Decoding supercodes of Gabidulin codes and applications to cryptanalysis

arXiv:2103.02700v39 citations
Originality Incremental advance
AI Analysis

This work addresses cryptanalysis challenges in code-based cryptography, specifically targeting rank-metric encryption schemes, and is incremental as it builds on existing decoding methods.

The paper tackled the problem of decoding supercodes of Gabidulin codes, showing that extending the usual decoder to any supercode reduces the decoding radius significantly, and applied this to achieve polynomial-time attacks on the rank-metric encryption schemes RAMESSES and LIGA.

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.

Code Implementations1 repo
Foundations

The foundational work for this paper's niche, ranked by how specifically the neighbourhood builds on it — not by global fame.

Your Notes