Paper 2022/264 Original: eprint.iacr.org/2022/264 ↗

Gradecast in Synchrony and Reliable Broadcast in Asynchrony with Optimal Resilience, Efficiency, and Unconditional Security

Ittai Abraham
Gilad Asharov
Abstract

We revisit Gradecast (Feldman and Micali, STOC'88) in Synchrony and Reliable Broadcast (Bracha, Information and Computation'87) in Asynchrony. For both tasks ,we provide new protocols that have three desirable properties: (1) \emph{optimal resilience}, tolerating $t<n/3$ malicious parties; (2) are \emph{communication-efficient}, where honest parties send just $O(n L)$ bits for a sender with a message of $L = \Omega(n \log n)$ bits; (3) and are \emph{unconditionally secure}, without needing to rely on any computational or setup assumptions (while having a statistical error probability). To the best of our knowledge, no previous work obtains all three properties simultaneously.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
History
2022-05-30: last updated
2022-03-02: published
Short URL
https://ia.cr/2022/264
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2022/264,
      author = {Ittai Abraham and Gilad Asharov},
      title = {Gradecast in Synchrony and Reliable Broadcast in Asynchrony with Optimal Resilience, Efficiency, and Unconditional Security},
      howpublished = {Cryptology {ePrint} Archive, Paper 2022/264},
      year = {2022},
      url = {https://eprint.iacr.org/2022/264}
}
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