Welcome to the resource topic for 2025/1037
Title:
Committed Vector Oblivious Linear Evaluation and Its Applications
Authors: Yunqing Sun, Hanlin Liu, Kang Yang, Yu Yu, Xiao Wang, Chenkai Weng
Abstract:We introduce the notion of committed vector oblivious linear evaluation (C-VOLE), which allows a party holding a pre-committed vector to generate VOLE correlations with multiple parties on the committed value. It is a unifying tool that can be found useful in zero-knowledge proofs (ZKPs) of committed values, actively secure multi-party computation, private set intersection (PSI), etc.
To achieve the best efficiency, we design a tailored commitment scheme and matching C-VOLE protocols, both based on the learning parity with noise assumption. In particular, exploiting the structures of the carefully designed LPN-based commitment minimizes the cost of ensuring consistency between the committed vector and VOLE correlation. As a result, we achieve a 28$\times$ improvement over the protocol proposed in prior work (Usenix 2021) that uses ZKP to prove the correct opening of the commitment. We also apply C-VOLE to design a PSI protocol that allows one server to run PSI repeatedly with multiple clients while ensuring that the same set is used across all executions. Compared with the state-of-the-art PSI (CCS 2024) with similar security requirements, our protocol reduces the communication overhead by a factor of 35$\times$.
ePrint: https://eprint.iacr.org/2025/1037
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