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An extension of Overbeck's attack with an application to cryptanalysis of Twisted Gabidulin-based schemes
May 02, 2023 Β· Declared Dead Β· π IACR Cryptology ePrint Archive
"No code URL or promise found in abstract"
Evidence collected by the PWNC Scanner
Authors
Alain Couvreur, Ilaria Zappatore
arXiv ID
2305.01287
Category
cs.CR: Cryptography & Security
Cross-listed
cs.IT,
math.RA
Citations
4
Venue
IACR Cryptology ePrint Archive
Last Checked
4 months ago
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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