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zeekay
9504b4c3ef
Sweep across the non-Tier-1 paper catalogue (Tier-1 owned by parallel
agent and excluded). All 113 processed papers already had luxcover
wired up; this commit fixes 14 build breakers and produces fresh
PDFs across the catalogue.
Fixes:
- lux-blockchain-scaling-laws: em-dash inside lstlisting -> --
- lux-corona-pq: stale \input pointing at 03-the-corona-scheme renamed
to 03-the-corona-scheme (file already renamed on disk)
- lux-lattice-cryptography-primer: same Corona->Corona rename
- lux-formal-verification-lean4: Lean source uses unicode (×, ∀, ∃, ∈,
∧, ∨, ∩, ≠, ⟨, ⟩, ·, ¬) inside lstlistings. Added a literate map
so listings render the math glyphs without UTF-8 fault.
- lux-id-did-specification: ✓/✗ in tabular replaced with \ding{51}
/ \ding{55} (pifont). Added pifont package.
- lux-ntt-simd-implementation: middle-dot in Go assembly listings;
added literate {·}{\textperiodcentered}.
- lux-ntt-transform: μ, ×, –, — in regular text (no T1 fontenc).
Replaced with $\mu$/$\times$/--/--- via unicode->latex sweep.
- lux-perpetuals-derivatives, lux-quantum-consensus,
lux-quasar-consensus, lux-tee-computing-mesh: same unicode->latex
sweep across body text. Also fixed broken math segment
`$L_{avg} = 10$\times$$` -> `$L_{avg} = 10\times$`.
- lux-zchain: emoji glyphs in roadmap table replaced with
parenthetical text.
- lux-triple-proof-consensus: dropped duplicate \usepackage{geometry}
that clashed with luxcover (geometry option clash).
- pq: defined missing \Rq macro.
PDFs rebuilt for the full Tier-2/3 set.
Excluded (Tier-1, parallel agent): lp-073-pulsar, lp-stricte2epq,
dag-evm-formal, lp-010-quasar-stm-{3,4}, lp-020-quasar-consensus,
lux-institutional-custody, lux-nist-mptc-submission, pqsafe-il5,
pq-rns, plus shared/ and lps/.
34 lines
2.1 KiB
TeX
34 lines
2.1 KiB
TeX
\section{Conclusion}
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%% +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
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LSS bridges the gap between theoretical threshold signature schemes and production operational requirements. By exploiting the linearity of Shamir's Secret Sharing, LSS enables live membership changes, automatic fault recovery, and unified multi-chain signing under a single framework wrapping both CGGMP21 and FROST. The integration with Pulsar post-quantum signatures provides a smooth upgrade path to quantum-resistant operations.
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All source code is open-source at \texttt{github.com/luxfi/threshold/protocols/lss}.
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%% +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
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\begin{thebibliography}{99}
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\bibitem{shamir1979} A.~Shamir, ``How to Share a Secret,'' \emph{Communications of the ACM}, vol.~22, no.~11, pp.~612--613, 1979.
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\bibitem{pedersen1991} T.~P.~Pedersen, ``Non-Interactive and Information-Theoretic Secure Verifiable Secret Sharing,'' in \emph{CRYPTO}, 1991.
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\bibitem{feldman1987} P.~Feldman, ``A Practical Scheme for Non-Interactive Verifiable Secret Sharing,'' in \emph{FOCS}, 1987.
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\bibitem{frost} C.~Komlo and I.~Goldberg, ``FROST: Flexible Round-Optimized Schnorr Threshold Signatures,'' in \emph{SAC}, 2020.
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\bibitem{cggmp21} R.~Canetti \emph{et al.}, ``UC Non-Interactive, Proactive, Threshold ECDSA with Identifiable Aborts,'' in \emph{ACM CCS}, 2020.
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\bibitem{corona} Z.~Kelling, ``Corona: Post-Quantum Lattice-Based Threshold Signatures,'' Lux Industries, Inc., 2024.
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\bibitem{quasar} Z.~Kelling and V.~Seesahai, ``Quasar Consensus: Hybrid BLS + Corona Dual-Signature Finality,'' Lux Industries, Inc., 2022.
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\bibitem{gjkr2003} R.~Gennaro, S.~Jarecki, H.~Krawczyk, and T.~Rabin, ``Secure Distributed Key Generation for Discrete-Log Based Cryptosystems,'' \emph{Journal of Cryptology}, vol.~20, no.~1, pp.~51--83, 2007.
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\bibitem{bip340} P.~Wuille \emph{et al.}, ``BIP-340: Schnorr Signatures for secp256k1,'' 2020.
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\bibitem{teleport} Z.~Kelling and V.~Seesahai, ``Lux Teleport: Sovereign Omnichain Liquidity,'' Lux Industries, Inc., 2022.
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\end{thebibliography}
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