Paper 2019/841 Original: eprint.iacr.org/2019/841 ↗

Practical Cryptanalysis of k-ary C*

Daniel Smith-Tone
Abstract

Recently, an article by Felke appeared in Cryptography and Communications discussing the security of biquadratic C* and a further generalization, k-ary C*. The article derives lower bounds for the complexity of an algebraic attack, directly inverting the public key, under an assumption that the first-fall degree is a good approximation of the solving degree, an assumption that the paper notes requires ``greater justification and clarification." In this work, we provide a practical attack breaking all k-ary C* schemes. The attack is based on differential techniques and requires nothing but the ability to evaluate the public key and solve linear systems. In particular, the attack breaks the parameters provided in CryptoChallenge11 by constructing and solving linear systems of moderate size in a few minutes.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2019-07-19: last updated
2019-07-19: published
Short URL
https://ia.cr/2019/841
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2019/841,
      author = {Daniel Smith-Tone},
      title = {Practical Cryptanalysis of k-ary C*},
      howpublished = {Cryptology {ePrint} Archive, Paper 2019/841},
      year = {2019},
      url = {https://eprint.iacr.org/2019/841}
}
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