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Uniform Black-Box Separations via Non-Malleable Extractors

Authors:
Marshall Ball , New York University
Dana Dachman-Soled , UMD
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Conference: CRYPTO 2025
Abstract: We construct $t$-non-malleable extractors---which allow an attacker to tamper with a source $t$ times---for high min-entropy sources samplable by poly-time hierarchy circuits and for tampering classes corresponding to poly-time hierarchy functions from derandomization-type assumptions. We then show an application of this new object to ruling out constructions of succinct, non-interactive, arguments (SNARGs) secure against \emph{uniform} adversaries from \emph{uniform} falsifiable assumptions via a class of black-box reductions that has not been previously considered in the literature. This class of black-box reductions allows the reduction to arbitrarily set the \emph{coins}, as well as the input, of the uniform adversary it interacts with. The class of reductions we consider is restricted in allowing only non-adaptive queries to the adversary.
BibTeX
@inproceedings{crypto-2025-35748,
  title={Uniform Black-Box Separations via Non-Malleable Extractors},
  publisher={Springer-Verlag},
  author={Marshall Ball and Dana Dachman-Soled},
  year=2025
}