Paper 2025/077

On Multi-Key FuncCPA Secure Encryption Schemes

Eri Nakajima, The University of Osaka
Keisuke Hara, National Institute of Advanced Industrial Science and Technology
Kyosuke Yamashita, Osaka University
Abstract

The notion of funcCPA security for homomorphic encryption schemes was introduced by Akavia \textit{et~al.}\ (TCC 2022). Whereas it aims to capture the bootstrapping technique in homomorphic encryption schemes, Dodis \textit{et~al.}\ (TCC 2023) pointed out that funcCPA security can also be applied to non-homomorphic public-key encryption schemes (PKE). As an example, they presented a use case for privacy-preserving outsourced computation without homomorphic computation. It should be noted that prior work on funcCPA security, including the use case presented by Dodis \textit{et~al.}, considered only the single-key setting. However, in recent years, multi-party collaboration in outsourced computation has garnered significant attention, making it desirable for funcCPA security to support the multi-key setting. Therefore, in this work, we introduce a new notion of security called Multi-Key funcCPA (MKfunc) to address this need, and show that if a PKE scheme is KDM-secure, then it is also MKfuncCPA secure. Furthermore, we show that similar discussions can be applied to symmetric-key encryption.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Published elsewhere. 2024 1st International Conference On Cryptography And Information Security (VCRIS)
DOI
10.1109/VCRIS63677.2024.10813389
Keywords
cryptographypublic-key encryption schemefuncCPA
Contact author(s)
yamashita @ ist osaka-u ac jp
History
2025-01-18: approved
2025-01-17: received
See all versions
Short URL
https://ia.cr/2025/077
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2025/077,
      author = {Eri Nakajima and Keisuke Hara and Kyosuke Yamashita},
      title = {On Multi-Key {FuncCPA} Secure Encryption Schemes},
      howpublished = {Cryptology {ePrint} Archive, Paper 2025/077},
      year = {2025},
      doi = {10.1109/VCRIS63677.2024.10813389},
      url = {https://eprint.iacr.org/2025/077}
}
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