Paper 2015/740

Predictable Arguments of Knowledge

Antonio Faonio, Jesper Buus Nielsen, and Daniele Venturi

Abstract

We initiate a formal investigation on the power of {\em predictability} for argument of knowledge systems for \NP. Specifically, we consider private-coin argument systems where the answer of the prover can be predicted, given the private randomness of the verifier; we call such protocols Predictable Arguments of Knowledge (PAoK). Our study encompasses a full characterization of PAoK, showing that such arguments can be made extremely laconic, with the prover sending a single bit, and assumed to have only one round (i.e.,\ two messages) of communication without loss of generality. We additionally explore PAoK satisfying additional properties (including zero-knowledge and the possibility of re-using the same challenge across multiple executions with the prover), present several constructs of PAoK relying on different cryptographic tools, and discuss applications to cryptography.

Metadata
Available format(s)
PDF
Publication info
A major revision of an IACR publication in PKC 2017
Keywords
Foundations
Contact author(s)
afaonio @ gmail com
History
2017-01-13: last of 6 revisions
2015-07-24: received
See all versions
Short URL
https://ia.cr/2015/740
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2015/740,
      author = {Antonio Faonio and Jesper Buus Nielsen and Daniele Venturi},
      title = {Predictable Arguments of Knowledge},
      howpublished = {Cryptology {ePrint} Archive, Paper 2015/740},
      year = {2015},
      url = {https://eprint.iacr.org/2015/740}
}
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