Publications

A Hidden-Bits Approach to Black-Box Statistical ZAPs from LWE

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

Resources

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. Moreover, our construction is the first lattice-based ZAP that is fully black-box in the use of cryptography. Previous lattice-based ZAPs based on correlation-intractable hash functions all made non-black-box use of cryptography.

BibTeX
@misc{BLNWW24,
  author    = {Eli Bradley and George Lu and Shafik Nassar and Brent Waters and David J. Wu},
  title     = {A Hidden-Bits Approach to Black-Box Statistical {ZAPs} from {LWE}},
  misc      = {Full version available at \url{https://eprint.iacr.org/2024/1663}},
  year      = {2024}
}