eprint.iacr.org will be offline for approximately an hour for routine maintenance at 11pm UTC on Tuesday, April 16. We lost some data between April 12 and April 14, and some authors have been notified that they need to resubmit their papers.

Paper 2022/1551

Extensible Decentralized Secret Sharing and Application to Schnorr Signatures

Michele Battagliola, University of Trento
Riccardo Longo, University of Trento
Alessio Meneghetti, University of Trento
Abstract

Starting from links between coding theory and secret sharing we develop an extensible and decentralized version of Shamir Secret Sharing, that allows the addition of new users after the initial share distribution. On top of it we design a totally decentralized $(t,n)$-threshold Schnorr signature scheme that needs only $t$ users online during the key generation phase, while the others join later. Under standard assumptions we prove our scheme secure against adaptive malicious adversaries. Furthermore, we show how our security notion can be strengthen when considering a rushing adversary. Using a classical game-based argument, we prove that if there is an adversary capable of forging the scheme with non-negligible probability, then we can build a forger for the centralized Schnorr scheme with non-negligible probability.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
Keywords
Secret SharingVSSSchnorr SignatureThreshold Signature
Contact author(s)
michele battagliola @ unitn it
riccardolongomath @ gmail com
alessio meneghetti @ unitn it
History
2023-04-06: revised
2022-11-08: received
See all versions
Short URL
https://ia.cr/2022/1551
License
Creative Commons Attribution-ShareAlike
CC BY-SA

BibTeX

@misc{cryptoeprint:2022/1551,
      author = {Michele Battagliola and Riccardo Longo and Alessio Meneghetti},
      title = {Extensible Decentralized Secret Sharing and Application to Schnorr Signatures},
      howpublished = {Cryptology ePrint Archive, Paper 2022/1551},
      year = {2022},
      note = {\url{https://eprint.iacr.org/2022/1551}},
      url = {https://eprint.iacr.org/2022/1551}
}
Note: In order to protect the privacy of readers, eprint.iacr.org does not use cookies or embedded third party content.