[Resource Topic] 2014/634: Constant-Round Leakage-Resilient Zero-Knowledge Arguments of Knowledge for NP

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Title:
Constant-Round Leakage-Resilient Zero-Knowledge Arguments of Knowledge for NP

Authors: Hongda Li, Qihua Niu, Guifang Huang

Abstract:

Garg, Jain, and Sahai first consider zero knowledge proofs in the presence of leakage on the local state of the prover, and present a leakage-resilient-zero-knowledge proof system for HC (Hamiltonian Cycle) problem. Their construction is called (1+\varepsilon)-leakage-resilient zero-knowledge, for any constant \varepsilon>0, because the total length of the leakage the simulator needs is (1+\varepsilon) times as large as that of the leakage received by the verifier. In recent, Pandey provides a constant-round leakage-resilient zero-knowledge argument satisfying the ideal requirement of \varepsilon=0. Whether there exist constant round leakage-resilient zero-knowledge arguments of knowledge for all NP languages is an interesting problem. This paper focuses on this problem and presents a constant-round construction of leakage-resilient zero-knowledge arguments of knowledge for the HC problem.

ePrint: https://eprint.iacr.org/2014/634

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