A Zero-Knowledge PCP Theorem

Tom Gur; Jack O'Connor; Nicholas Spooner

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arXiv · 2411.07972

A Zero-Knowledge PCP Theorem

Tom Gur·Jack O'Connor·Nicholas Spooner

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Abstract

We show that for every polynomial q* there exist polynomial-size, constant-query, non-adaptive PCPs for NP which are perfect zero knowledge against (adaptive) adversaries making at most q* queries to the proof. In addition, we construct exponential-size constant-query PCPs for NEXP with perfect zero knowledge against any polynomial-time adversary. This improves upon both a recent construction of perfect zero-knowledge PCPs for #P (STOC 2024) and the seminal work of Kilian, Petrank and Tardos (STOC 1997).

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Tom Gur, Jack O'Connor, Nicholas Spooner. 2024-11-12. A Zero-Knowledge PCP Theorem. https://arxiv.org/abs/2411.07972

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