Paper 2025/1360

Towards more secure constructions of private set operation schemes

Mojtaba Rafiee
Abstract

A private set operation (PSO) scheme [Rafiee, Comput. J. 2020] is a cryptographic primitive that enables a user to securely outsource their dataset to cloud storage, and then when needed, securely issue common set operation queries to the server and receive the results. In [Rafiee, Comput. J. 2020], the only security notion of the PSO schemes, named naSIM, is proposed. This security notion models a weak attacker who is far from the threats of practical environments, and providing stronger security notions has been raised as an open problem. In this paper, we propose a new security notion for the PSO schemes, called aIND, and show that this concept is stronger than naSIM. Furthermore, we propose a new PSO construction that satisfies the security notion aIND. We also show that our construction does not increase the computational and storage overheads compared to other existing constructions, despite covering a much higher level of security.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
Keywords
Secure outsourcingCloud storageCryptographic primitivePrivate set operationAdaptive security
Contact author(s)
mojtaba rafiee @ ipm ir
History
2025-11-07: revised
2025-07-25: received
See all versions
Short URL
https://ia.cr/2025/1360
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2025/1360,
      author = {Mojtaba Rafiee},
      title = {Towards more secure constructions of private set operation schemes},
      howpublished = {Cryptology {ePrint} Archive, Paper 2025/1360},
      year = {2025},
      url = {https://eprint.iacr.org/2025/1360}
}
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