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Resettable Statistical Zero-Knowledge for NP
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| Conference: | CRYPTO 2024 |
| Abstract: | Resettable statistical zero-knowledge [Garg--Ostrovsky--Visconti--Wadia, TCC 2012] is a strong privacy notion that guarantees statistical zero-knowledge even when the prover uses the same randomness in multiple proofs. In this paper, we show an equivalence of resettable statistical zero-knowledge arguments for NP and witness encryption schemes for NP. - Positive result: For any NP language L, a resettable statistical zero-knowledge argument for L can be constructed from a witness encryption scheme for L under the assumption of the existence of one-way functions. - Negative result: The existence of even resettable statistical witness-indistinguishable arguments for NP imply the existence of witness encryption schemes for NP under the assumption of the existence of one-way functions. The positive result is obtained by naturally extending existing techniques (and is likely to be already well-known among experts). The negative result is our main technical contribution. To explore workarounds for the negative result, we also consider resettable security in a model where the honest party's randomness is only reused with fixed inputs. We show that resettable statistically hiding commitment schemes are impossible even in this model. |
BibTeX
@inproceedings{crypto-2024-34142,
title={Resettable Statistical Zero-Knowledge for NP},
publisher={Springer-Verlag},
author={Susumu Kiyoshima},
year=2024
}