Paper 2019/977

Non-malleable Zero-Knowledge Arguments with Lower Round Complexity

Zhenbin Yan and Yi Deng

Abstract

Round complexity is one of the fundamental problems in zero-knowledge proof systems. Non-malleable zero-knowledge (NMZK) protocols are zero-knowledge protocols that provide security even when man-in-the-middle adversaries interact with a prover and a verifier simultaneously. It is known that the first constant-round public-coin NMZK Arguments for NP can be constructed by assuming the existence of collision-resistant hash functions (Pass and Rosen STOC'05) and has relatively high round complexity; the first four-round private-coin NMZK Arguments for NP can be constructed in the plain model by assuming the existence of one-way functions (Goyal, Richelson, Rosen and Vald FOCS'14 and Ciampi, Ostrovsky, Siniscalchi and Visconti TCC'17). In this paper, we present a six-round public-coin NMZK argument of knowledge system assuming the existence of collision-resistant hash functions and a three-round private-coin NMZK argument system from multi-collision resistance of hash functions assumption in the keyless setting.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Published elsewhere. Minor revision. The Computer Journal
DOI
10.1093/comjnl/bxaa076
Keywords
Zero-KnowledgeNon-MalleableMulti-Collision ResistanceComputational Complexity
Contact author(s)
yanzhenbin @ iie ac cn
History
2020-07-12: last of 4 revisions
2019-08-29: received
See all versions
Short URL
https://ia.cr/2019/977
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2019/977,
      author = {Zhenbin Yan and Yi Deng},
      title = {Non-malleable Zero-Knowledge Arguments with Lower Round Complexity},
      howpublished = {Cryptology ePrint Archive, Paper 2019/977},
      year = {2019},
      doi = {10.1093/comjnl/bxaa076},
      note = {\url{https://eprint.iacr.org/2019/977}},
      url = {https://eprint.iacr.org/2019/977}
}
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