Paper 2024/781

Doubly-Efficient Batch Verification in Statistical Zero-Knowledge

Or Keret, Technion – Israel Institute of Technology
Ron D. Rothblum, Technion – Israel Institute of Technology
Prashant Nalini Vasudevan, National University of Singapore
Abstract

A sequence of recent works, concluding with Mu et al. (Eurocrypt, 2024) has shown that every problem Π admitting a non-interactive statistical zero-knowledge proof (NISZK) has an efficient zero-knowledge batch verification protocol. Namely, an NISZK protocol for proving that x1,,xkΠ with communication that only scales poly-logarithmically with . A caveat of this line of work is that the prover runs in exponential-time, whereas for NP problems it is natural to hope to obtain a doubly-efficient proof - that is, a prover that runs in polynomial-time given the NP witnesses. In this work we show that every problem in has a doubly-efficient interactive statistical zero-knowledge proof with communication and rounds. The prover runs in time given access to the UP witnesses. Here denotes the length of each individual input, and UP is the subclass of NP relations in which YES instances have unique witnesses. This result yields doubly-efficient statistical zero-knowledge batch verification protocols for a variety of concrete and central cryptographic problems from the literature.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
Keywords
SZKBatch Verification
Contact author(s)
or keret @ campus technion ac il
rothblum @ cs technion ac il
prashvas @ nus edu sg
History
2024-05-24: approved
2024-05-21: received
See all versions
Short URL
https://ia.cr/2024/781
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2024/781,
      author = {Or Keret and Ron D. Rothblum and Prashant Nalini Vasudevan},
      title = {Doubly-Efficient Batch Verification in Statistical Zero-Knowledge},
      howpublished = {Cryptology {ePrint} Archive, Paper 2024/781},
      year = {2024},
      url = {https://eprint.iacr.org/2024/781}
}
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