Paper 2024/1984 Original: eprint.iacr.org/2024/1984 ↗

Low Communication Threshold Fully Homomorphic Encryption

Alain Passelègue
Damien Stehlé
Abstract

This work investigates constructions of threshold fully homomorphic encryption with low communication, i.e., with small ciphertexts and small decryption shares. In this context, we discuss in detail the technicalities for achieving full-fledged threshold FHE, and put forward limitations regarding prior works, including an attack against the recent construction of Boudgoust and Scholl [ASIACRYPT 2023]. In light of our observations, we generalize the definition of threshold fully homomorphic encryption by adding an algorithm which allows to introduce additional randomness in ciphertexts before they are decrypted by parties. In this setting, we are able to propose a construction which offers small ciphertexts and small decryption shares.

Metadata
Available format(s)
PDF
Publication info
Preprint.
History
2025-03-12: last updated
2024-12-08: published
Short URL
https://ia.cr/2024/1984
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2024/1984,
      author = {Alain Passelègue and Damien Stehlé},
      title = {Low Communication Threshold Fully Homomorphic Encryption},
      howpublished = {Cryptology {ePrint} Archive, Paper 2024/1984},
      year = {2024},
      url = {https://eprint.iacr.org/2024/1984}
}
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