Welcome to the resource topic for 2020/1205
Title:
Towards Non-Interactive Witness Hiding
Authors: Benjamin Kuykendall, Mark Zhandry
Abstract:Witness hiding proofs require that the verifier cannot find a witness after seeing a proof. The exact round complexity needed for witness hiding proofs has so far remained an open question. In this work, we provide compelling evidence that witness hiding proofs are achievable non-interactively for wide classes of languages. We use non-interactive witness indistinguishable proofs as the basis for all of our protocols. We give four schemes in different settings under different assumptions: – A universal non-interactive proof that is witness hiding as long as any proof system, possibly an inefficient and/or non-uniform scheme, is witness hiding, has a known bound on verifier runtime, and has short proofs of soundness. – A non-uniform non-interactive protocol justified under a worst-case complexity assumption that is witness hiding and efficient, but may not have short proofs of soundness. – A new security analysis of the two-message argument of Pass [Crypto 2003], showing witness hiding for any non-uniformly hard distribution. We propose a heuristic approach to removing the first message, yielding a non-interactive argument. – A witness hiding non-interactive proof system for languages with unique witnesses, assuming the non-existence of a weak form of witness encryption for any language in NP ∩ coNP.
ePrint: https://eprint.iacr.org/2020/1205
Talk: https://www.youtube.com/watch?v=4J3SUSlnLSI
Slides: https://iacr.org/submit/files/slides/2020/tcc/tcc2020/225/slides.pdf
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