Paper 2022/1543 Original: eprint.iacr.org/2022/1543 ↗

Four-Round Black-Box Non-Malleable Commitments from One-Way Permutations

Michele Ciampi
Emmanuela Orsini
Luisa Siniscalchi
Abstract

We construct the first four-round non-malleable commitment scheme based solely on the black-box use of one-to-one one-way functions. Prior to our work, all non-malleable commitment schemes based on black-box use of polynomial-time cryptographic primitives require more than $16$ rounds of interaction. A key tool for our construction is a proof system that satisfies a new definition of security that we call non-malleable zero-knowledge with respect to commitments. In a nutshell, such a proof system can be safely run in parallel with a (potentially interactive) commitment scheme. We provide an instantiation of this tool using the MPC-in-the-Head approach in combination with BMR.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
History
2022-11-07: last updated
2022-11-07: published
Short URL
https://ia.cr/2022/1543
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2022/1543,
      author = {Michele Ciampi and Emmanuela Orsini and Luisa Siniscalchi},
      title = {Four-Round Black-Box Non-Malleable Commitments from One-Way Permutations},
      howpublished = {Cryptology {ePrint} Archive, Paper 2022/1543},
      year = {2022},
      url = {https://eprint.iacr.org/2022/1543}
}
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