Paper 2022/1759 Original: eprint.iacr.org/2022/1759 ↗

Bingo: Adaptivity and Asynchrony in Verifiable Secret Sharing and Distributed Key Generation

Ittai Abraham
Philipp Jovanovic
Mary Maller
Sarah Meiklejohn
Gilad Stern
Abstract

We present Bingo, an adaptively secure and optimally resilient packed asynchronous verifiable secret sharing (PAVSS) protocol that allows a dealer to share $f+1$ secrets with a total communication complexity of $O(\lambda n^2)$ words, where $\lambda$ is the security parameter and $n$ is the number of parties. Using Bingo, we obtain an adaptively secure validated asynchronous Byzantine agreement (VABA) protocol that uses $O(\lambda n^3)$ expected words and constant expected time, which we in turn use to construct an adaptively secure high-threshold asynchronous distributed key generation (ADKG) protocol that uses $O(\lambda n^3)$ expected words and constant expected time. To the best of our knowledge, our ADKG is the first to allow for an adaptive adversary while matching the asymptotic complexity of the best known static ADKGs.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
History
2023-06-08: last updated
2022-12-22: published
Short URL
https://ia.cr/2022/1759
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2022/1759,
      author = {Ittai Abraham and Philipp Jovanovic and Mary Maller and Sarah Meiklejohn and Gilad Stern},
      title = {Bingo: Adaptivity and Asynchrony in Verifiable Secret Sharing and Distributed Key Generation},
      howpublished = {Cryptology {ePrint} Archive, Paper 2022/1759},
      year = {2022},
      url = {https://eprint.iacr.org/2022/1759}
}
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