Files
papers/lux-triple-proof-consensus/sections/99-conclusion.tex
zooqueen ed0d9cabdf Reconcile Corona/Pulsar taxonomy: both are Module-LWE
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and the superseded triple-proof/quasar drafts (anonymous lattice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.
2026-06-20 02:26:47 -07:00

18 lines
1.5 KiB
TeX

\section{Conclusion}
Triple-proof quantum finality provides defense-in-depth against classical, quantum, and future adversaries. By separating speed (BLS), identity (ML-DSA), and privacy (Corona) into independent proof paths unified by Groth16 aggregation, we achieve post-quantum consensus at 248 bytes per epoch --- comparable to classical-only systems --- while supporting 1ms block times on commodity hardware.
The mechanism is deployed on the Lux Network with 100+ validators and multiple application chains. Measured QuasarCert verification is ${\sim}2$--$5$\,ms CPU, dominated by Groth16's 3 pairings on BLS12-381~\cite{lux-benchmarks}.
\begin{thebibliography}{9}
\bibitem{fips204} NIST, ``FIPS 204: Module-Lattice-Based Digital Signature Standard (ML-DSA),'' 2024.
\bibitem{fips203} NIST, ``FIPS 203: Module-Lattice-Based Key-Encapsulation Mechanism Standard (ML-KEM),'' 2024.
\bibitem{fips205} NIST, ``FIPS 205: Stateless Hash-Based Digital Signature Standard (SLH-DSA),'' 2024.
\bibitem{lux-corona} Lux Industries, Inc., ``Corona: Lattice-Based Threshold Ring Signatures for Anonymous Consensus,'' 2025.
\bibitem{stark} Ben-Sasson et al., ``Scalable, transparent, and post-quantum secure computational integrity,'' IACR ePrint 2018/046.
\bibitem{bls} Boneh, Lynn, Shacham, ``Short Signatures from the Weil Pairing,'' Journal of Cryptology, 2004.
\bibitem{lux-benchmarks} Lux Industries, ``Quasar Consensus --- Measured Benchmarks,'' 2026. Apple M1 Max, darwin/arm64, Go 1.26.1. \url{https://github.com/luxfi/consensus/blob/main/BENCHMARKS.md}.
\end{thebibliography}