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Paper 2022/1501

MinRank in the Head: Short Signatures from Zero-Knowledge Proofs

Gora Adj, Technology Innovation Institute
Luis Rivera-Zamarripa, Technology Innovation Institute
Javier Verbel, Technology Innovation Institute
Abstract

In recent years, many digital signature scheme proposals have been built from the so-called MPC-in-the-head paradigm. This has shown to be an outstanding way to design efficient signatures with security based on hard problems. MinRank is an NP-complete problem extensively studied due to its applications to cryptanalysis since its introduction in 1999. However, only a few schemes base their security on its intractability, and their signature size is large compared with other proposals based on NP problems. This paper introduces the first MinRank-based digital signature scheme that uses the MPC-in-the-head, enabling it to achieve small signature sizes and running times. For NIST's category I parameter set, we obtain signatures of 6.5KB, which is competitive with the shortest proposals in the literature that are based on non-structured problems.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Published elsewhere. AFRICACRYPT2023
Keywords
MinRankzero-knowledgeproof of knowledgeMPC-in-the-Head
Contact author(s)
gora adj @ tii ae
luis zamarripa @ tii ae
javier verbel @ tii ae
History
2023-07-04: last of 2 revisions
2022-11-01: received
See all versions
Short URL
https://ia.cr/2022/1501
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2022/1501,
      author = {Gora Adj and Luis Rivera-Zamarripa and Javier Verbel},
      title = {MinRank in the Head: Short Signatures from Zero-Knowledge Proofs},
      howpublished = {Cryptology ePrint Archive, Paper 2022/1501},
      year = {2022},
      note = {\url{https://eprint.iacr.org/2022/1501}},
      url = {https://eprint.iacr.org/2022/1501}
}
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