Corpus ID: 54476057

On a Rank-Metric Code-Based Cryptosystem with Small Key Size

@article{Renner2018OnAR,
  title={On a Rank-Metric Code-Based Cryptosystem with Small Key Size},
  author={Julian Renner and S. Puchinger and A. Wachter-Zeh},
  journal={ArXiv},
  year={2018},
  volume={abs/1812.04892}
}
A repair of the Faure-Loidreau (FL) public-key code-based cryptosystem is proposed. The FL cryptosystem is based on the hardness of list decoding Gabidulin codes which are special rank-metric codes. We prove that the recent structural attack on the system by Gaborit et al. is equivalent to decoding an interleaved Gabidulin code. Since all known polynomial-time decoders for these codes fail for a large constructive class of error patterns, we are able to construct public keys that resist the… Expand
Decoding High-Order Interleaved Rank-Metric Codes
TLDR
The new decoder is an adaption of the Hamming-metric decoder by Metzner and Kapturowski and guarantees to correct all rank errors of weight up to $d-2$ whose rank over the large base field of the code equals the number of errors. Expand

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