Paper 2026/2018 Original: eprint.iacr.org/2026/2018 ↗

On the (Im)possibility of Asynchronous Proactive Secret Sharing

Erica Blum
Yingzi Gao
Julian Loss
Yuan Lu
Zhenliang Lu
Qiang Tang
Abstract

In this paper, we systematically study the (im)possibilities of proactive secret sharing (PSS) in fully asynchronous authenticated networks. To reflect the subtleties arising from the absence of a global clock, we first formalize a hierarchy of natural mobile adversary models for asynchronous PSS (APSS), capturing different adversarial capabilities over corrupted parties and distinct ways of accounting for mobile corruption in asynchrony. Under these models, we then (i) establish new impossibility results by exhibiting generic attacks on APSS, thereby deriving the corresponding resilience upper bounds, and (ii) demonstrate the tightness of these bounds via explicit APSS protocols achieving optimal resilience in each model.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
History
2026-09-14: last updated
2026-09-14: published
Short URL
https://ia.cr/2026/2018
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2026/2018,
      author = {Erica Blum and Yingzi Gao and Julian Loss and Yuan Lu and Zhenliang Lu and Qiang Tang},
      title = {On the (Im)possibility of Asynchronous Proactive Secret Sharing},
      howpublished = {Cryptology {ePrint} Archive, Paper 2026/2018},
      year = {2026},
      url = {https://eprint.iacr.org/2026/2018}
}
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