Paper 2022/820 Original: eprint.iacr.org/2022/820 ↗

Public-Coin 3-Round Zero-Knowledge from Learning with Errors and Keyless Multi-Collision-Resistant Hash

Susumu Kiyoshima
Abstract

We construct a public-coin 3-round zero-knowledge argument for NP assuming (i) the sub-exponential hardness of the learning with errors (LWE) problem and (ii) the existence of keyless multi-collision-resistant hash functions against slightly super-polynomial-time adversaries. These assumptions are almost identical to those that were used recently to obtain a private-coin 3-round zero-knowledge argument [Bitansky et al., STOC 2018]. (The difference is that we assume sub-exponential hardness instead of quasi-polynomial hardness for the LWE problem.)

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
History
2022-06-24: last updated
2022-06-22: published
Short URL
https://ia.cr/2022/820
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2022/820,
      author = {Susumu Kiyoshima},
      title = {Public-Coin 3-Round Zero-Knowledge from Learning with Errors and Keyless Multi-Collision-Resistant Hash},
      howpublished = {Cryptology {ePrint} Archive, Paper 2022/820},
      year = {2022},
      url = {https://eprint.iacr.org/2022/820}
}
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