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

Garg, Jain, and Sahai first consider zero knowledge proofs in the presence of leakage on the local state of the prover, and present a leakageresilient-zero-knowledge proof system for HC (Hamiltonian Cycle) problem. Their construction is called (1 + ε)-leakage-resilient zero-knowledge, for any constant ε > 0, because the total length of the leakage the simulator needs is (1 + ε) 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 ε = 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. Key word: zero-knowledge proofs, proofs of knowledge, leakage-resilient, nonblack-box simulation, constant-round.