Files
papers/lux-lss-mpc/sections/05-post-quantum-extension.tex
zooqueen a1f77cacc9 papers: retire boschini2024corona key -> ringtail (third-party prior art); fix Pulsar/Corona/Ringtail provenance + lattice labels
Ringtail (Boschini et al., ePrint 2024/1113) is third-party prior art; Lux's
Corona (Ring-LWE = Module-LWE rank-1) builds on it; Pulsar is Module-LWE rank-k.
Retired the conflated boschini2024corona/corona2024/coronago/... bib keys to the
single canonical ringtail/corona/pulsar/magnetar keys, rewrote \cite + \bibitem
by context, and fixed 'Pulsar (Ring-LWE)' mislabels (Corona where corona.metal/
single-ring/Ringtail-derived; Pulsar where Module-LWE rank-k/ML-DSA). Cryptographer-led.
2026-06-19 22:33:10 -07:00

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\section{Post-Quantum Extension}
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LSS integrates with Corona~\cite{corona} lattice-based threshold signatures for post-quantum security. Corona uses Learning With Errors (LWE) to provide threshold signatures secure against quantum computers:
\begin{itemize}[nosep]
\item \textbf{128-bit security}: $n = 512, q = 2^{32}$, signature $\sim$4KB
\item \textbf{192-bit security}: $n = 768, q = 2^{48}$, signature $\sim$6KB
\item \textbf{256-bit security}: $n = 1024, q = 2^{64}$, signature $\sim$8KB
\end{itemize}
The hybrid deployment uses classical (FROST/CMP) for day-to-day signing and Corona for finality certificates (via Quasar consensus~\cite{quasar}), ensuring both current efficiency and quantum-future safety.
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