Paper 2026/322

Multi-key Fully Homomorphic Encryption with Non-Interactive Setup in the Plain Model

Seonhong Min, Seoul National University
Jeongeun Park, Norwegian University of Science and Technology
Yongsoo Song, Seoul National University
Abstract

Multi-key fully homomorphic encryption (MKFHE) enables computation over encrypted data under multiple different keys. Constructing MKFHE without any trusted or interactive setup remains an open problem. In the context of MKFHE, a trusted setup is often assumed to mean the use of a common random string (CRS). In this paper, we present the first MKFHE scheme in the plain model (i.e., without any trusted or interactive setup) based solely on the RLWE assumption. Our design yields a 2-round multi-party computation (MPC) in the plain model against semi-malicious adversaries. Moreover, it can be applied to transform existing FHE schemes that rely on RGSW in their construction into a multi-key variant. We also provide concrete conversions for widely-used FHE schemes, including BGV, BFV, CKKS, FHEW, TFHE, and Carousel. Finally, we implement our scheme and present experimental results for the expansion algorithm from a single-key ciphertext to a multi-key ciphertext and the multi-key homomorphic multiplication algorithm.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
Keywords
homomorphic encryptionmulti-key homomorphic encryptionFHE
Contact author(s)
minsh @ snu ac kr
jeongeun park @ ntnu no
y song @ snu ac kr
History
2026-02-21: approved
2026-02-19: received
See all versions
Short URL
https://ia.cr/2026/322
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2026/322,
      author = {Seonhong Min and Jeongeun Park and Yongsoo Song},
      title = {Multi-key Fully Homomorphic Encryption with Non-Interactive Setup in the Plain Model},
      howpublished = {Cryptology {ePrint} Archive, Paper 2026/322},
      year = {2026},
      url = {https://eprint.iacr.org/2026/322}
}
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