Paper 2020/768 Original: eprint.iacr.org/2020/768 ↗
Perfect Zero Knowledge: New Upperbounds and Relativized Separations
Abstract
We investigate the complexity of problems that admit perfect zero-knowledge interactive protocols and establish new unconditional upper bounds and oracle separation results. We establish our results by investigating certain distribution testing problems: computational problems over high-dimensional distributions represented by succinct Boolean circuits. A relatively less-investigated complexity class SBP emerged as significant in this study. The main results we establish are: 1. A unconditional inclusion that NIPZK is in CoSBP. 2. Construction of a relativized world in which there is a distribution testing problem that lies in NIPZK but not in SBP, thus giving a relativized separation of NIPZK (and hence PZK) from SBP. 3. Construction of a relativized world in which there is a distribution testing problem that lies in PZK but not in CoSBP, thus giving a relativized separation of PZK from CoSBP. These results refine the landscape of perfect zero-knowledge classes in relation to traditional complexity classes.
Metadata
- Available format(s)
PDF- Category
- Foundations
- Publication info
- Preprint.
- History
- 2020-06-24: last updated
- 2020-06-24: published
- Short URL
- https://ia.cr/2020/768
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2020/768,
author = {Peter Dixon and Sutanu Gayen and A. Pavan and N. V. Vinodchandran},
title = {Perfect Zero Knowledge: New Upperbounds and Relativized Separations},
howpublished = {Cryptology {ePrint} Archive, Paper 2020/768},
year = {2020},
url = {https://eprint.iacr.org/2020/768}
}