International Association for Cryptologic Research

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Complete Characterization of Broadcast and Pseudo-Signatures from Correlations

Authors:
Varun Narayanan , Technion, Israel
Vinod M. Prabhakaran , Tata Institute of Fundamental Research, Mumbai
Neha Sangwan , Tata Institute of Fundamental Research, Mumbai
Shun Watanabe , Tokyo University of Agriculture and Technology, Japan
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DOI: 10.1007/978-3-031-30617-4_19 (login may be required)
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Presentation: Slides
Conference: EUROCRYPT 2023
Abstract: Unconditionally secure broadcast is feasible among parties connected by pairwise secure links only if there is a strict two-thirds majority of honest parties when no additional resources are available. This limitation may be circumvented when the parties have recourse to additional resources such as correlated randomness. Fitzi, Wolf, and Wullschleger (CRYPTO 2004) attempted to characterize the conditions on correlated randomness shared among three parties which would enable them to realize broadcast. Due to a gap in their impossibility argument, it turns out that their characterization is incorrect. Using a novel construction we show that broadcast is feasible under a considerably larger class of correlations. In fact, we realize pseudo-signatures, which are information theoretic counterparts of digital signatures using which unconditionally secure broadcast may be obtained. We also obtain a matching impossibility result thereby characterizing the class of correlations on which three-party broadcast (and pseudo-signatures) can be based. Our impossibility proof, which extends the well-know argument of Fischer, Lynch and Merritt (Distr. Comp., 1986) to the case where parties observe correlated randomness, maybe of independent interest.
BibTeX
@inproceedings{eurocrypt-2023-32938,
  title={Complete Characterization of Broadcast and Pseudo-Signatures from Correlations},
  publisher={Springer-Verlag},
  doi={10.1007/978-3-031-30617-4_19},
  author={Varun Narayanan and Vinod M. Prabhakaran and Neha Sangwan and Shun Watanabe},
  year=2023
}