Paper 2021/1587 Original: eprint.iacr.org/2021/1587 ↗

Low-Bandwidth Threshold ECDSA via Pseudorandom Correlation Generators

Damiano Abram
Ariel Nof
Claudio Orlandi
Peter Scholl
Omer Shlomovits
Abstract

Digital signature schemes are a fundamental component of secure distributed systems, and the theft of a signing-key might have huge real-world repercussions e.g., in applications such as cryptocurrencies. Threshold signature schemes mitigate this problem by distributing shares of the secret key on several servers and requiring that enough of them interact to be able to compute a signature. In this paper, we provide a novel threshold protocol for ECDSA, arguably the most relevant signature scheme in practice. Our protocol is the first one where the communication complexity of the preprocessing phase is only logarithmic in the number of ECDSA signatures to be produced later, and it achieves therefore a so-called silent preprocessing. Our protocol achieves active security against any number of arbitrarily corrupted parties.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
History
2022-05-16: last updated
2021-12-06: published
Short URL
https://ia.cr/2021/1587
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2021/1587,
      author = {Damiano Abram and Ariel Nof and Claudio Orlandi and Peter Scholl and Omer Shlomovits},
      title = {Low-Bandwidth Threshold ECDSA via Pseudorandom Correlation Generators},
      howpublished = {Cryptology {ePrint} Archive, Paper 2021/1587},
      year = {2021},
      url = {https://eprint.iacr.org/2021/1587}
}
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