Paper 2011/493

From Point Obfuscation To 3-round Zero-Knowledge

Nir Bitansky and Omer Paneth

Abstract

We construct 3-round proofs and arguments with negligible soundness error satisfying two relaxed notions of {\em zero-knowledge}: {\em Weak ZK} and {\em witness hiding} (WH). At the heart of our constructions lie new techniques based on {\em 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. We also investigate the relation between AIPO and the assumptions previously used to achieve 3-round ZK.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Published elsewhere. Unknown where it was published
Keywords
Zero-KnowledgeObfuscationPoint ObfuscationWitness-Hiding
Contact author(s)
omer @ bu edu
History
2011-09-21: revised
2011-09-13: received
See all versions
Short URL
https://ia.cr/2011/493
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2011/493,
      author = {Nir Bitansky and Omer Paneth},
      title = {From Point Obfuscation To 3-round Zero-Knowledge},
      howpublished = {Cryptology ePrint Archive, Paper 2011/493},
      year = {2011},
      note = {\url{https://eprint.iacr.org/2011/493}},
      url = {https://eprint.iacr.org/2011/493}
}
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