CryptoDB
Interactive Line-Point Zero-Knowledge with Sublinear Communication and Linear Computation
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| Conference: | ASIACRYPT 2024 |
| Abstract: | Studies of vector oblivious linear evaluation (VOLE)-based zero-knowledge (ZK) protocols flourish in recent years. Such ZK protocols feature optimal prover computation and a flexibility for handling arithmetic circuits over arbitrary fields. However, most of them have linear communication, which constitutes a bottleneck for handling large statements in a slow network. The pioneer work AntMan (CCS'22), achieved sublinear communication for the first time within VOLE-based ZK, but lost the advantage of fast proving. In this work, we propose two new VOLE-based ZK constructions that achieve sublinear communication and linear computation, simultaneously. Let $\mathcal{C}$ be a circuit with size $S$, input size $n$, and depth $d$. In particular, our first ZK, specialized for layered circuits, has communication $\bigO{n+d\log{S}}$, while our second ZK can be used to prove general circuits and has communication $\bigO{n+d\log{S}+d^2}$. Our results are obtained by introducing the powerful sum-check techniques from the mature line of works on interactive proofs into the context of VOLE-based ZK for the first time. Reminiscent of the {\em non-interactive} line-point zero-knowledge proof system (ITC'21), we introduce an {\em interactive line-point zero-knowledge} (ILPZK) proof system, which serves as a bridge to VOLE-based ZK protocols. In addition, our works also enrich the studies of ZK based on interactive proofs, with new interesting features (e.g., having information-theoretic UC-security, naturally supporting any field) achieved. |
BibTeX
@inproceedings{asiacrypt-2024-34553,
title={Interactive Line-Point Zero-Knowledge with Sublinear Communication and Linear Computation},
publisher={Springer-Verlag},
author={Fuchun Lin and Chaoping Xing and Yizhou Yao},
year=2024
}