Paper 2023/1484 Original: eprint.iacr.org/2023/1484 ↗

Blind signatures from Zero knowledge in the Kummer variety

Paulo L. Barreto
Devin D. Reich
Marcos A. Simplicio Jr.
Gustavo H. M. Zanon
Abstract

We show how to apply the BZ methodology (Blind signatures from Zero knowledge) to obtain blind signatures in the Kummer varieties defined by Montgomery curves. We also describe specially-tailored arithmetic algorithms to facilitate their efficient implementation. The result can be proved secure under appropriate assumptions, appears to resist even the ROS attack (to which most elliptic-curve blind signature schemes succumb), and is arguably one of the most efficient among those proposals that offer similar security guarantees.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
History
2023-09-28: last updated
2023-09-28: published
Short URL
https://ia.cr/2023/1484
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2023/1484,
      author = {Paulo L. Barreto and Devin D. Reich and Marcos A. Simplicio Jr. and Gustavo H. M. Zanon},
      title = {Blind signatures from Zero knowledge in the Kummer variety},
      howpublished = {Cryptology {ePrint} Archive, Paper 2023/1484},
      year = {2023},
      url = {https://eprint.iacr.org/2023/1484}
}
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