Point obfuscation and 3-round zero-knowledge

  • Authors:
  • Nir Bitansky;Omer Paneth

  • Affiliations:
  • Tel Aviv University, Israel and Boston University;Tel Aviv University, Israel and Boston University

  • Venue:
  • TCC'12 Proceedings of the 9th international conference on Theory of Cryptography
  • Year:
  • 2012

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Abstract

We construct 3-round proofs and arguments with negligible soundness error satisfying two relaxed notions of zero-knowledge (ZK): weak ZK and witness hiding (WH). At the heart of our constructions lie new techniques based on point obfuscation with auxiliary input (AIPO). It is known that such protocols cannot be proven secure using black-box reductions (or simulation). Our constructions circumvent these lower bounds, utilizing AIPO (and extensions) as the "non-black-box component" in the security reduction.