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Lecture notes in computer science

A Hidden-Bits Approach to Statistical ZAPs from LWE

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

Published Dec 4, 2025• 1 citation
Publisher
DOI
10.1007/978-3-032-12290-2_3

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We put forward a new approach for achieving non-interactive zero-knowledge proofs (NIKZs) from the learning with errors (LWE) assumption (with subexponential modulus to noise ratio). We provide a LWE-based construction of a hidden bits generator that gives rise to a NIZK via the celebrated hidden bits paradigm. A notable feature of our construction is its simplicity. Our construction employs lattice trapdoors, but beyond that uses only simple operations. Unlike prior solutions, we do not rely on a correlation intractability argument nor do we utilize fully homomorphic encryption techniques. Our solution provides a new methodology that adds to the diversity of techniques for solving this fundamental problem.