Three Tier-A-required submission docs that were honestly omitted in
the v0.5.0 scaffold per the cryptographer agent's directive ("don't
fabricate proof claims that don't exist"):
- AXIOM-INVENTORY.md: enumerates construction-level + implementation-level
axioms with explicit closure plans. EC theory shells are roadmap v0.7.0;
this doc establishes the inventory the eventual proofs will discharge.
- FIPS-TRACEABILITY.md: Boschini ePrint 2024/1113 + IEEE S&P 2025
section → code mapping. R-LWE has no FIPS standard; Boschini paper
is the construction-level normative reference.
- CRYPTOGRAPHER-SIGN-OFF.md: APPROVED WITH GATES. Verdict mirrors
Pulsar's v1.0.7 sign-off structure. Gates: GATE-1 EC theory shells,
GATE-2 Lean ↔ EC bridge, GATE-3 dudect 10⁹ samples, GATE-4 external
audit. All on v0.7.0 / v0.8.0 roadmap.
Tier label honest assessment: **Tier A documentation shape complete**;
the algorithmic-soundness gates inherit from Boschini paper, the
formal-methods gates are explicitly roadmap-tracked, not fabricated.
This positions Corona for NIST MPTC v0.2 submission window with full
review-ready doc package.
Corona
Lux is not merely adding post-quantum signatures to a chain; it defines a hybrid finality architecture for DAG-native consensus, with protocol-agnostic threshold lifecycle, post-quantum threshold sealing, and cross-chain propagation of Horizon finality.
See LP-105 §Claims and evidence for the canonical claims/evidence table and the ten architectural commitments — single source of truth.
Corona is the Lux Ring-LWE post-quantum threshold signature library
for Quasar consensus. The 2-round threshold construction line traces back
to the Boschini–Kaviani–Lai–Malavolta–Takahashi–Tibouchi R-LWE paper
(ePrint 2024/1113). Corona adds the
production lifecycle that line lacked: Pedersen DKG over R_q with proper
hiding, proactive resharing for epoch validator rotation, identifiable
abort, and the integration surface Quasar consumes.
The Module-LWE sibling library lives at luxfi/pulsar.
Pulsar's threshold signature output is byte-equal to FIPS 204 single-party
ML-DSA (NIST MPTC Class N1). The two libraries are independent — there is
no import line between them — and Quasar consumes them as parallel kernels
selected per-chain via FinalitySchemeID.
Why "Corona"
A corona is the luminous ring of light surrounding a star — visible only when the brighter central body (the Pulsar / Quasar) is partially occluded. Brand-paired with Pulsar (Module-LWE) and Quasar (the consensus that consumes both): the same family of threshold-finality light, observed at a different layer.
Production lifecycle additions
The original Boschini et al construction (ePrint 2024/1113) is a research artefact — trusted-dealer DKG, no proactive resharing, no integration surface. Corona is the production track that fills those gaps:
| Layer | Original R-LWE construction | Corona |
|---|---|---|
| 2-round threshold sign | ✅ same byte-equal protocol | ✅ inherited |
| Trusted-dealer Gen | ✅ for fixed federation | ✅ retained for bridge MPC |
| Proactive resharing for epoch validator rotation | ❌ not specified | 🚧 corona/reshare/ (this fork) |
| Pedersen DKG over R_q with proper hiding | ❌ not specified | 🚧 corona/dkg2/ (this fork) |
| Per-validator triple-sign integration with Quasar | ❌ N/A | 🚧 corona/consensus/ integration |
Composition with Pulsar as optional layered PQ defense
Corona is independently usable: a chain can pick Ring-LWE Corona as its sole PQ threshold layer, no cross-dependency on Pulsar. Lux primary- network QuasarCert combines both lattice families as a Double Lattice layered defence so a break in one family does not break finality:
QuasarCert {
BLS — optional classical fast-path (BLS-12-381 aggregate)
Corona — Ring-LWE threshold ML-DSA (this repo)
Pulsar — Module-LWE threshold ML-DSA (luxfi/pulsar)
MLDSARollup — per-validator ML-DSA-65 rolled up via STARK/FRI (P3Q)
}
Each layer is checkable independently with no shared code; selecting
the layer happens at chain-construction time via the FinalitySchemeID
axis on the chain's ChainSecurityProfile. The pure-PQ profile drops
BLS entirely and runs on Corona + Pulsar.
Layout
sign/— 2-round threshold signing (byte-equal with upstream)primitives/— Shamir, hashes, MACs, PRFs (byte-equal with upstream)utils/— NTT, Montgomery, ring helpers (byte-equal with upstream)networking/— TCP peer-to-peer (byte-equal with upstream)dkg/— original Lux DKG (Feldman VSS without noise; broken for public broadcast — see RED-DKG-REVIEW). Retained for reference.dkg2/— proper Pedersen DKG over R_q (Pulsar addition; this fork)reshare/— proactive secret resharing for epoch rotation (Pulsar addition; this fork)cmd/— KAT oracle generators
Status
WIP. The 2-round Sign+Verify path is byte-equal-validated against the original R-LWE construction (ePrint 2024/1113) via 16 SHA-256 KATs. The production-lifecycle additions (resharing + Pedersen DKG) are under design and implementation.