Paper 2021/1264 Original: eprint.iacr.org/2021/1264 ↗
Verifiably-Extractable OWFs and Their Applications to Subversion Zero-Knowledge
Abstract
An extractable one-way function (EOWF), introduced by Canetti and Dakdouk (ICALP 2008) and generalized by Bitansky et al. (SIAM Journal on Computing vol. 45), is an OWF that allows for efficient extraction of a preimage for the function. We study (generalized) EOWFs that have a public image verification algorithm. We call such OWFs verifiably-extractable and show that several previously known constructions satisfy this notion. We study how such OWFs relate to subversion zero-knowledge (Sub-ZK) NIZKs by using them to generically construct a Sub-ZK NIZK from a NIZK satisfying certain additional properties, and conversely show how to obtain them from any Sub-ZK NIZK. Prior to our work, the Sub-ZK property of NIZKs was achieved using concrete knowledge assumptions.
Metadata
- Available format(s)
PDF- Category
- Foundations
- Publication info
- Preprint.
- History
- 2021-09-22: last updated
- 2021-09-22: published
- Short URL
- https://ia.cr/2021/1264
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2021/1264,
author = {Prastudy Fauzi and Helger Lipmaa and Janno Siim and Michal Zajac and Arne Tobias Ødegaard},
title = {Verifiably-Extractable OWFs and Their Applications to Subversion Zero-Knowledge},
howpublished = {Cryptology {ePrint} Archive, Paper 2021/1264},
year = {2021},
url = {https://eprint.iacr.org/2021/1264}
}