Decoding supercodes of Gabidulin codes and applications to cryptanalysis

Maxime Bombar; Alain Couvreur

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arXiv · 2103.02700

Decoding supercodes of Gabidulin codes and applications to cryptanalysis

Maxime Bombar·Alain Couvreur

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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.

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Maxime Bombar, Alain Couvreur. 2021-03-03. Decoding supercodes of Gabidulin codes and applications to cryptanalysis. https://arxiv.org/abs/2103.02700

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