mirror of
https://github.com/lux-apps/papers.git
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zeekay
f080fe34b0
Continuation of the 87a0cee sweep — covers the two remaining FHE
papers that still cited Zama and/or Fhenix as comparators.
threshold-fhe-compliance/09-related-work.tex + 99-conclusion.tex:
drops the "Fhenix and Zama implement FHE on EVM chains but use a
single decryption key" comparison; rewrites positively around the
Lux M-of-N Shamir-over-Zq threshold decryption in
lux/fhe/pkg/threshold/. Bibliography drops fhenix2024 + zama2024;
adds lux-fhe-smart-contracts + lux-fhe-runtime cross-cites.
lux-fhe-smart-contracts/09-related-work.tex + 99-conclusion.tex:
full rewrite of the related-work section — drops the Zama fhEVM /
Inco Network / TFHE-rs comparison paragraphs in favor of a "FHE on
the EVM" + "Threshold decryption" + "FHE compilers" structure that
names only the Lux components (lux/precompile/fhe, lux/fhe,
luxcpp/gpu, lux-private/gpu-kernels, planned Refractor compiler).
Bibliography: drops zama2023fhevm + inco2024; replaces with
lux-fhe-go + lux-precompile-fhe.
Lux FHEVM (capital F) remains as the canonical Lux product name —
distinct from Zama's lowercase fhEVM brand. \label{sec:fhevm} and
existing bibkey lux-fhevm are LaTeX/citation infrastructure and are
unaffected.
Pairs with the parallel liquidity/papers + zoo/papers sweeps.
71 lines
2.9 KiB
TeX
71 lines
2.9 KiB
TeX
\section{Conclusion}
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Fully homomorphic encryption enables a class of smart contract applications---private
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DeFi, encrypted orderbooks, sealed-bid auctions, private voting---that are impossible
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on transparent blockchains. The computational overhead ($10^6$--$10^8\times$ relative
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to cleartext) is substantial but acceptable for applications where the alternative is
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not ``fast cleartext computation'' but rather ``no computation at all'' (because
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privacy requirements preclude on-chain execution).
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The Lux FHE implementation provides a self-contained, native Go cryptographic backend
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with SIMD acceleration, deployed as an EVM precompile on the LiquidFHE chain.
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Bootstrapping at 12\,ms per gate (TFHE) and 1.2\,s (BFV) enables practical encrypted
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smart contracts for applications with moderate computational depth.
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%% ========================================================================
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%% BIBLIOGRAPHY
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%% ========================================================================
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\begin{thebibliography}{20}
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\bibitem{gentry2009fhe}
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C.~Gentry, ``Fully Homomorphic Encryption Using Ideal Lattices,'' \emph{STOC '09},
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pp.~169--178, ACM, 2009.
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\bibitem{lyubashevsky2010ideal}
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V.~Lyubashevsky, C.~Peikert, and O.~Regev, ``On Ideal Lattices and Learning with
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Errors over Rings,'' \emph{EUROCRYPT 2010}, pp.~1--23, Springer, 2010.
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\bibitem{cggi2020tfhe}
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I.~Chillotti, N.~Gama, M.~Georgieva, and M.~Izabach\`ene, ``TFHE: Fast Fully
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Homomorphic Encryption over the Torus,'' \emph{Journal of Cryptology}, vol.~33,
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pp.~34--91, 2020.
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\bibitem{brakerski2012fhe}
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Z.~Brakerski, ``Fully Homomorphic Encryption without Modulus Switching from Classical
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GapSVP,'' \emph{CRYPTO 2012}, pp.~868--886, Springer, 2012.
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\bibitem{fanvercauteren2012}
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J.~Fan and F.~Vercauteren, ``Somewhat Practical Fully Homomorphic Encryption,''
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IACR ePrint 2012/144, 2012.
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\bibitem{albrecht2015lattice}
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M.~R. Albrecht, R.~Player, and S.~Scott, ``On the Concrete Hardness of Learning with
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Errors,'' \emph{Journal of Mathematical Cryptology}, vol.~9, no.~3, pp.~169--203, 2015.
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\bibitem{lux-fhe-go}
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Lux Industries, ``Lux-FHE: Native TFHE on \texttt{luxfi/lattice},''
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\url{https://github.com/luxfi/fhe}, 2026.
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\bibitem{lux-precompile-fhe}
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Lux Industries, ``Lux FHE Precompiles: Native EVM Integration at
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\texttt{0x...80}--\texttt{0x...83},'' \url{https://github.com/luxfi/precompile}, 2026.
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\bibitem{sunscreen2023}
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Sunscreen, ``Sunscreen: A Compiler for FHE Applications,'' Sunscreen Tech Report, 2023.
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\bibitem{fips203}
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NIST, ``Module-Lattice-Based Key-Encapsulation Mechanism Standard (FIPS 203),''
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National Institute of Standards and Technology, August 2024.
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\bibitem{fips204}
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NIST, ``Module-Lattice-Based Digital Signature Standard (FIPS 204),''
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National Institute of Standards and Technology, August 2024.
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\bibitem{regev2005lwe}
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O.~Regev, ``On Lattices, Learning with Errors, Random Linear Codes, and Cryptography,''
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\emph{STOC '05}, pp.~84--93, ACM, 2005.
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\end{thebibliography}
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