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arXiv · 1911.13193

Randomized Decoding of Gabidulin Codes Beyond the Unique Decoding Radius

Julian Renner·Thomas Jerkovits·Hannes Bartz·Sven Puchinger·Pierre Loidreau·Antonia Wachter-Zeh
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Abstract

We address the problem of decoding Gabidulin codes beyond their unique error-correction radius. The complexity of this problem is of importance to assess the security of some rank-metric code-based cryptosystems. We propose an approach that introduces row or column erasures to decrease the rank of the error in order to use any proper polynomial-time Gabidulin code error-erasure decoding algorithm. This approach improves on generic rank-metric decoders by an exponential factor.

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Julian Renner, Thomas Jerkovits, Hannes Bartz, Sven Puchinger, Pierre Loidreau, Antonia Wachter-Zeh. 2019-11-29. Randomized Decoding of Gabidulin Codes Beyond the Unique Decoding Radius. https://arxiv.org/abs/1911.13193

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