Paper 2022/1258 Original: eprint.iacr.org/2022/1258 ↗

Tightly Secure Chameleon Hash Functions in the Multi-User Setting and Their Applications

Xiangyu Liu
Shengli Liu
Dawu Gu
Abstract

We define the security notion of (strong) collision resistance for chameleon hash functions in the multi-user setting ((S-)MU-CR security). We also present three constructions, CHF_dl, CHF_rsa and CHF_fac, and prove their tight S-MU-CR security based on the discrete logarithm, RSA and factoring assumptions, respectively. In applications, our tightly S-MU-CR secure chameleon hash functions help us to lift a signature scheme from (weak) unforgeability to strong unforgeability in the multi-user setting, and the security reduction is tightness preserving. Furthermore, they can also be used to construct tightly secure online/offline signatures, chameleon signatures and proxy signatures, etc., in the multi-user setting.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2022-09-22: last updated
2022-09-22: published
Short URL
https://ia.cr/2022/1258
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2022/1258,
      author = {Xiangyu Liu and Shengli Liu and Dawu Gu},
      title = {Tightly Secure Chameleon Hash Functions in the Multi-User Setting and Their Applications},
      howpublished = {Cryptology {ePrint} Archive, Paper 2022/1258},
      year = {2022},
      url = {https://eprint.iacr.org/2022/1258}
}
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