Paper 2018/318 Original: eprint.iacr.org/2018/318 ↗

Practical attacks against the Walnut digital signature scheme

Ward Beullens
Simon R. Blackburn
Abstract

Recently, NIST started the process of standardizing quantum- resistant public-key cryptographic algorithms. WalnutDSA, the subject of this paper, is one of the 20 proposed signature schemes that are being considered for standardization. Walnut relies on a one-way function called E-Multiplication, which has a rich algebraic structure. This paper shows that this structure can be exploited to launch several practical attacks against the Walnut cryptosystem. The attacks work very well in practice; it is possible to forge signatures and compute equivalent secret keys for the 128-bit and 256-bit security parameters submitted to NIST in less than a second and in less than a minute respectively.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2018-04-04: last updated
2018-04-04: published
Short URL
https://ia.cr/2018/318
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2018/318,
      author = {Ward Beullens and Simon R.  Blackburn},
      title = {Practical attacks against the Walnut digital signature scheme},
      howpublished = {Cryptology {ePrint} Archive, Paper 2018/318},
      year = {2018},
      url = {https://eprint.iacr.org/2018/318}
}
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