Paper 2024/657

Cryptographic Accumulators: New Definitions, Enhanced Security, and Delegatable Proofs

Anaïs Barthoulot, University of Montpellier
Olivier Blazy, Computer Science Laboratory of the École Polytechnique
Sébastien Canard, Télécom ParisTech
Abstract

Cryptographic accumulators, introduced in 1993 by Benaloh and De Mare, represent a set with a concise value and offer proofs of (non-)membership. Accumulators have evolved, becoming essential in anonymous credentials, e-cash, and blockchain applications. Various properties like dynamic and universal emerged for specific needs, leading to multiple accumulator definitions. In 2015, Derler, Hanser, and Slamanig proposed a unified model, but new properties, including zero-knowledge security, have arisen since. We offer a new definition of accumulators, based on Derler et al.’s, that is suitable for all properties. We also introduce a new security property, unforgeability of private evaluation, to protect accumulator from forgery and we verify this property in Barthoulot, Blazy, and Canard’s recent accumulator. Finally we provide discussions on security properties of accumulators and on the delegatable (non-)membership proofs property.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Published elsewhere. Major revision. Africacrypt 2024
Keywords
Cryptographic accumulatorsDual pairing vector spacesSecurity reductions
Contact author(s)
anais barthoulot @ lirmm fr
olivier blazy @ polytechnique edu
sebastien canard @ telecom-paris fr
History
2024-05-02: last of 2 revisions
2024-04-29: received
See all versions
Short URL
https://ia.cr/2024/657
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2024/657,
      author = {Anaïs Barthoulot and Olivier Blazy and Sébastien Canard},
      title = {Cryptographic Accumulators: New Definitions, Enhanced Security, and Delegatable Proofs},
      howpublished = {Cryptology ePrint Archive, Paper 2024/657},
      year = {2024},
      note = {\url{https://eprint.iacr.org/2024/657}},
      url = {https://eprint.iacr.org/2024/657}
}
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