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

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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.

Original languageEnglish
Title of host publicationProgress in Cryptology - AFRICACRYPT 2024 - 15th International Conference on Cryptology in Africa, 2024, Proceedings
EditorsSerge Vaudenay, Christophe Petit, Christophe Petit
PublisherSpringer Science and Business Media Deutschland GmbH
Pages94-119
Number of pages26
ISBN (Print)9783031643804
DOIs
Publication statusPublished - 1 Jan 2024
Event15th International Conference on Cryptology in Africa, AFRICACRYPT 2024 - Douala, Cameroon
Duration: 10 Jul 202412 Jul 2024

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume14861 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference15th International Conference on Cryptology in Africa, AFRICACRYPT 2024
Country/TerritoryCameroon
CityDouala
Period10/07/2412/07/24

Keywords

  • Cryptographic accumulators
  • Dual pairing vector spaces
  • Security reductions

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