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

Abstract

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 + 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, non-black-box simulation, constant-round. 1