[Resource Topic] 2023/1392: Robust Publicly Verifiable Covert Security: Limited Information Leakage and Guaranteed Correctness with Low Overhead

Welcome to the resource topic for 2023/1392

Title:
Robust Publicly Verifiable Covert Security: Limited Information Leakage and Guaranteed Correctness with Low Overhead

Authors: Yi Liu, Junzuo Lai, Qi Wang, Xianrui Qin, Anjia Yang, Jian Weng

Abstract:

Protocols with \emph{publicly verifiable covert (PVC) security} offer high efficiency and an appealing feature: a covert party may deviate from the protocol, but with a probability (\eg 90\%, referred to as the \emph{deterrence factor}), the honest party can identify this deviation and expose it using a publicly verifiable certificate. These protocols are particularly suitable for practical applications involving reputation-conscious parties.

However, in the cases where misbehavior goes undetected (\eg with a probability of 10\%), \emph{no security guarantee is provided for the honest party}, potentially resulting in a complete loss of input privacy and output correctness.

In this paper, we tackle this critical problem by presenting a highly effective solution. We introduce and formally define an enhanced notion called \emph{robust PVC security}, such that even if the misbehavior remains undetected, the malicious party can only gain an additional 1-bit of information about the honest party’s input while maintaining the correctness of the output. We propose a novel approach leveraging \emph{dual execution} and \emph{time-lock puzzles} to design a robust PVC-secure two-party protocol with \emph{low overhead} (depending on the deterrence factor). For instance, with a deterrence factor of 90\%, our robust PVC-secure protocol incurs \emph{only additional {\sim}10\% overhead} compared to the state-of-the-art PVC-secure protocol.

Given the stronger security guarantees with low overhead, our protocol is highly suitable for practical applications of secure two-party computation.

ePrint: https://eprint.iacr.org/2023/1392

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