Paper 2021/382 Original: eprint.iacr.org/2021/382 ↗

Signatures with Tight Multi-User Security from Search Assumptions

Jiaxin Pan
Magnus Ringerud
Abstract

We construct two tightly secure signature schemes based on the computational Diffie-Hellman (CDH) and factoring assumptions in the random oracle model. Our schemes are proven secure in the multi-user setting, and their security loss is constant and does not depend on the number of users or signing queries. They are the first schemes that achieve this based on standard search assumptions, as all existing schemes we are aware of are either based on stronger decisional assumptions, or proven tightly secure in the less realistic single-user setting. Under a concrete estimation, in a truly large scale, the cost of our CDH-based scheme is about half of Schnorr and DSA (in terms of signature size and running time for signing).

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2021-03-22: last updated
2021-03-22: published
Short URL
https://ia.cr/2021/382
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2021/382,
      author = {Jiaxin Pan and Magnus Ringerud},
      title = {Signatures with Tight Multi-User Security from Search Assumptions},
      howpublished = {Cryptology {ePrint} Archive, Paper 2021/382},
      year = {2021},
      url = {https://eprint.iacr.org/2021/382}
}
Note: In order to protect the privacy of readers, this archive does not use cookies or embedded third party content.