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zooqueen
ed0d9cabdf
Scrub residual Ring-LWE mislabels of the Corona/Pulsar threshold
signature family per canonical decision-b (source: ringtail/sign/config.go
M=8,N=7, q=0x1000000004A01).
- Corona = Module-LWE (Ringtail-derived parameter set, A in R_q^{8x7}),
not Ring-LWE / not "Module-LWE at rank 1".
- Pulsar = Module-LWE (ML-DSA-65, FIPS-204 byte-equal).
- Corona+Pulsar differ by parameter regime/codebase, NOT hardness family:
intra-lattice parameter/implementation diversity, NOT family-disjoint.
- True family-disjoint defense = Magnetar (hash, SLH-DSA) / HQC (codes).
Reframed the false Corona(R-LWE)-vs-Pulsar(M-LWE) family-independence
across lp-219/lp-220/lp-222/lp-223 (P3Q kinds), lux-quasar-composition
(profile hardness table + composition corollary/proof), lux-magnetar-pq,
and the superseded triple-proof/quasar drafts (anonymous lattice
threshold lane = Corona). Legitimate FHE/TFHE Ring-LWE, NTT citations,
and neutral "rank-1" lattice facts left intact. PDFs rebuilt.
79 lines
3.0 KiB
TeX
79 lines
3.0 KiB
TeX
\section{Conclusion}
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Quasar represents a fundamental advancement in blockchain consensus design, achieving quantum security without sacrificing performance. Through triple-proof finality combining classical BLS with post-quantum Corona signatures, Q-Chain provides:
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\begin{enumerate}
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\item \textbf{10\,ms GPU BLS finality} (100\,ms CPU fallback) with triple-proof quantum security
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\item \textbf{4{,}761{,}904 TPS} with finality at 1\,B gas block limit
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\item \textbf{Quantum resistance} through defense-in-depth
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\item \textbf{Modular architecture} supporting various blockchain types
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\item \textbf{Physical impossibility} of real-time quantum attacks ($<$10\,ms window)
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\end{enumerate}
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The narrow $<$10\,ms attack window with GPU BLS makes quantum attacks physically impossible, while the modular consensus stack (Photon, Wave, Nova, Nebula, Prism, Quasar) provides flexibility for different use cases. Q-Chain positions Lux Network at the forefront of blockchain security for the next generation of decentralized applications.
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By combining sampling-based consensus, threshold cryptography, and post-quantum signatures, Quasar achieves the seemingly impossible: quantum security with classical-level performance.
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\begin{thebibliography}{99}
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\bibitem{shor1994}
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Shor, P.W. (1994).
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\textit{Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer}.
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SIAM Journal on Computing, 26(5), 1484-1509.
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\bibitem{nist-pqc}
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NIST (2024).
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\textit{Post-Quantum Cryptography Standardization}.
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National Institute of Standards and Technology.
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\bibitem{mosca2018}
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Mosca, M. (2018).
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\textit{Cybersecurity in an Era with Quantum Computers}.
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IEEE Security \& Privacy, 16(5), 38-41.
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\bibitem{corona}
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{Lux Industries} (2026).
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\textit{Corona: Two-Round Module-LWE Threshold Signatures}.
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\texttt{github.com/luxfi/corona}.
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Lux's own Module-LWE (Ringtail-derived) two-round threshold scheme;
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builds on the Ringtail line~\cite{ringtail}.
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\bibitem{ringtail}
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C.~Boschini, D.~Kaviani, R.~W.~F.~Lai, G.~Malavolta, A.~Takahashi, and
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M.~Tibouchi (2024).
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\textit{Ringtail: Practical Two-Round Threshold Signatures from LWE}.
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Cryptology ePrint Archive, Paper 2024/1113; IEEE S\&P 2025.
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Academic two-round lattice threshold (IACR ePrint 2024/1113).
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\bibitem{boneh-bls}
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Boneh, D., Lynn, B., \& Shacham, H. (2001).
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\textit{Short Signatures from the Weil Pairing}.
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Advances in Cryptology---ASIACRYPT 2001, 514-532.
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\bibitem{verkle-trees}
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Kuszmaul, J. (2019).
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\textit{Verkle Trees}.
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Ethereum Research.
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\bibitem{avalanche-consensus}
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Team Rocket (2020).
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\textit{Scalable and Probabilistic Leaderless BFT Consensus through Metastability}.
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arXiv:1906.08936.
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\bibitem{sui-consensus}
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Blackshear, S. et al. (2022).
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\textit{Narwhal and Tusk: A DAG-based Mempool and Efficient BFT Consensus}.
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EuroSys 2022.
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\bibitem{lux-benchmarks}
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Lux Industries (2026).
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\textit{Quasar Consensus --- Measured Benchmarks}.
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Apple M1 Max, darwin/arm64, Go 1.26.1.
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\url{https://github.com/luxfi/consensus/blob/main/BENCHMARKS.md}.
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\end{thebibliography}
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\appendix
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