An extension of Overbeck's attack with an application to cryptanalysis of Twisted Gabidulin-based schemes

Alain Couvreur; Ilaria Zappatore

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arXiv · 2305.01287

An extension of Overbeck's attack with an application to cryptanalysis of Twisted Gabidulin-based schemes

Alain Couvreur·Ilaria Zappatore

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Abstract

In this article, we discuss the decoding of Gabidulin and related codes from a cryptographic point of view, and we observe that these codes can be decoded solely from the knowledge of a generator matrix. We then extend and revisit Gibson and Overbeck attacks on the generalized GPT encryption scheme (instantiated with the Gabidulin code) for different ranks of the distortion matrix. We apply our attack to the case of an instantiation with twisted Gabidulin codes.

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BibTeX RIS

Alain Couvreur, Ilaria Zappatore. 2023-05-02. An extension of Overbeck's attack with an application to cryptanalysis of Twisted Gabidulin-based schemes. https://arxiv.org/abs/2305.01287

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