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Published in:
2015 | OriginalPaper | Chapter
ZAPs and Non-Interactive Witness Indistinguishability from Indistinguishability Obfuscation
Authors : Nir Bitansky, Omer Paneth
Published in: Theory of Cryptography
Publisher: Springer Berlin Heidelberg
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We present new constructions of two-message and one-message witness-indistinguishable proofs (ZAPs and NIWIs). This includes:
ZAPs (or, equivalently, non-interactive zero-knowledge in the common random string model) from indistinguishability obfuscation and one-way functions.
NIWIs from indistinguishability obfuscation and one-way permutations.
The previous construction of ZAPs [Dwork and Naor, FOCS 00] was based on trapdoor permutations. The two previous NIWI constructions were based either on ZAPs and a derandomization-type complexity assumption [Barak, Ong, and Vadhan CRYPTO 03], or on a specific number theoretic assumption in bilinear groups [Groth, Sahai, and Ostrovsky, CRYPTO 06].