Paper 2023/1481 Original: eprint.iacr.org/2023/1481 ↗

A Total Break of the Scrap Digital Signature Scheme

Daniel Smith-Tone
Abstract

Recently a completely new post-quantum digital signature scheme was proposed using the so called ``scrap automorphisms''. The structure is inherently multivariate, but differs significantly from most of the multivariate literature in that it relies on sparsity and rings containing zero divisors. In this article, we derive a complete and total break of Scrap, performing a key recovery in not much more time than verifying a signature. We also generalize the result, breaking unrealistic instances of the scheme for which there is no particularly efficient signing algorithm and key sizes are unmanageable.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2023-09-27: last updated
2023-09-27: published
Short URL
https://ia.cr/2023/1481
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2023/1481,
      author = {Daniel Smith-Tone},
      title = {A Total Break of the Scrap Digital Signature Scheme},
      howpublished = {Cryptology {ePrint} Archive, Paper 2023/1481},
      year = {2023},
      url = {https://eprint.iacr.org/2023/1481}
}
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