Paper 2024/1663 Original: eprint.iacr.org/2024/1663 ↗

A Hidden-Bits Approach to Statistical ZAPs from LWE

Eli Bradley
George Lu
Shafik Nassar
Brent Waters
David J. Wu
Abstract

We give a new approach for constructing statistical ZAP arguments (a two-message public-coin statistically witness indistinguishable argument) from quasi-polynomial hardness of the learning with errors (LWE) assumption with a polynomial modulus-to-noise ratio. Previously, all ZAP arguments from lattice-based assumptions relied on correlation-intractable hash functions. In this work, we present the first construction of a ZAP from LWE via the classic hidden-bits paradigm. Our construction matches previous lattice-based schemes by being public-coin and satisfying statistical witness indistinguishability.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
History
2025-09-12: last updated
2024-10-14: published
Short URL
https://ia.cr/2024/1663
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2024/1663,
      author = {Eli Bradley and George Lu and Shafik Nassar and Brent Waters and David J. Wu},
      title = {A Hidden-Bits Approach to Statistical ZAPs from LWE},
      howpublished = {Cryptology {ePrint} Archive, Paper 2024/1663},
      year = {2024},
      url = {https://eprint.iacr.org/2024/1663}
}
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