Efficient Concurrent n poly (log n )-Simulatable Argument of Knowledge
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文摘
In [16], Pass generalized the definition of zero knowledge proof and defined n O(σ(n))-simulatable proof which can be simulated by a simulator in n O(σ(n)) time. Assuming the existence of one-way permutation secure against sub-exponential circuits and 2-round perfect hiding commitment scheme, an efficient 4-round perfect n poly(logn)-simulatable argument of knowledge was presented there. In this paper, we construct an efficient concurrent n poly(logn)-simulatable argument of knowledge under more general assumption. The new scheme is 5-round and is based on the existence of one-way permutation secure against sub-exponential circuits. However, for the scheme in [16], if using ordinary Σ-protocol for the corresponding statement as sub-protocol, instead of Σ-protocol with honest verifier perfect zero knowledge, the resulting protocol is not necessarily closed under concurrent composition.

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