Paper 2022/241

Coalition and Threshold Hash-Based Signatures

John Kelsey
Stefan Lucks
Nathalie Lang
Abstract

In this paper, we introduce techniques that transform existing stateful hash based signatures (HBS), such as LMS [MCF19] or XMSS [HBG+18], into efficient threshold and distributed signature schemes. Our scheme includes a trusted dealer, a set of trustees, and an untrusted aggregator. Signing requires only a little more work from each trustee than is required of a single signer, and requires two round trip messages between the aggregator and each trustee involved in the signature. All communications are done point-to-point; there is no broadcast channel required. Each trustee needs to maintain only a small amount of key material and state, however the aggregator must have access to a fairly large (hundreds of MiB up to a few GiB) common reference string. Our scheme produces standard LMS or XMSS signatures, indistinguishable from signatures created from a single signer, and so requires no change in verification software. Our scheme is provably secure assuming the security of the underlying stateful HBS and security of a PRF used to derive shares by the ntrustees.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
Keywords
threshold cryptographyhash functionshash-based signatures
Contact author(s)
stefan lucks @ uni-weimar de
nathalie lang @ uni-weimar de
History
2025-04-28: last of 2 revisions
2022-02-25: received
See all versions
Short URL
https://ia.cr/2022/241
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2022/241,
      author = {John Kelsey and Stefan Lucks and Nathalie Lang},
      title = {Coalition and Threshold Hash-Based Signatures},
      howpublished = {Cryptology {ePrint} Archive, Paper 2022/241},
      year = {2022},
      url = {https://eprint.iacr.org/2022/241}
}
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