mirror of
https://github.com/lux-apps/papers.git
synced 2026-10-30 18:15:21 +00:00
zeekay
abf99d05fc
Restructured from flat .tex/.pdf files into per-paper subdirectories. Added Antje Worring as co-author on all papers. Synced PDFs to pdfs/ for download site.
22 lines
1.5 KiB
TeX
22 lines
1.5 KiB
TeX
\section{Conclusion}
|
|
|
|
\label{sec:conclusion}
|
|
|
|
We have presented a threshold variant of TFHE that enables boolean circuit evaluation
|
|
on encrypted data with distributed decryption. The CMPCOMBINE optimization reduces
|
|
multi-bit comparison from $2k-1$ to $k$ bootstrappings, making encrypted integer
|
|
operations practical. The threshold decryption protocol preserves IND-CPA security
|
|
under the LWE assumption while requiring only one round of communication. Integration
|
|
with the Lux FHE VM enables on-chain confidential computation with the full
|
|
expressiveness of boolean circuits.
|
|
|
|
\begin{thebibliography}{99}
|
|
\bibitem{chillotti2020tfhe} I. Chillotti, N. Gama, M. Georgieva, and M. Izabach\`ene, ``TFHE: Fast fully homomorphic encryption over the torus,'' \emph{J. Cryptology}, 2020.
|
|
\bibitem{gentry2009fully} C. Gentry, ``Fully homomorphic encryption using ideal lattices,'' in \emph{STOC}, 2009.
|
|
\bibitem{regev2009lattices} O. Regev, ``On lattices, learning with errors, random linear codes, and cryptography,'' \emph{JACM}, 2009.
|
|
\bibitem{brakerski2014leveled} Z. Brakerski, C. Gentry, and V. Vaikuntanathan, ``(Leveled) fully homomorphic encryption without bootstrapping,'' \emph{ACM TOCT}, 2014.
|
|
\bibitem{boneh2018threshold} D. Boneh et al., ``Threshold cryptosystems from threshold fully homomorphic encryption,'' in \emph{CRYPTO}, 2018.
|
|
\bibitem{asharov2012multiparty} G. Asharov et al., ``Multiparty computation with low communication, computation and interaction via threshold FHE,'' in \emph{EUROCRYPT}, 2012.
|
|
\end{thebibliography}
|
|
|