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zeekay df1db68bd0 docs/comments: correct lattice-family label Ring-LWE -> Module-LWE (Corona is Module-LWE) 
Corona is Module-LWE (threshold-Raccoon/Ringtail), NOT Ring-LWE. Confirmed in code: sign/sign.go samples A in R_q^{8x7} (sign.go:87 SamplePolyMatrix M=8,N=7), secret s a rank-7 ring vector, b=A*s+e (sign.go:106-107) over R_q=Z_q[X]/(X^256+1) (LogN=8), q=0x1000000004A01 -- rank>1 module structure, not rank-1 ring-LWE. threshold/threshold.go:4-5 already said Module-LWE.

Fixed the family label across README, SPEC, SUBMISSION, NIST-SUBMISSION, PATENTS, LLM, CONTRIBUTING, SECURITY, CHANGELOG, DEPLOYMENT-RUNBOOK, Makefile, AXIOM-INVENTORY, PROOF-CLAIMS, BLOCKERS, CRYPTOGRAPHER-SIGN-OFF, FIPS-TRACEABILITY, TRUSTED-COMPUTING-BASE, AUDIT-2026-05/06, docs/mptc/*, jasmin/README, 3 Go comments + cli help string.

Also corrected the downstream false claim that Corona (Ring-LWE) and Pulsar (Module-LWE) are 'different lattice families' giving 'structural/family diversity': both are Module-LWE, so the Double-Lattice defense is construction/implementation diversity (threshold-Raccoon vs ML-DSA), not hardness-family diversity; a Module-LWE break affects both legs (hash-based Magnetar is the assumption-diversifier). Fixed companion R-SIS -> Module-SIS where it was the module scheme's SIS assumption; added the Langlois-Stehle (DCC 2015) Module-LWE citation alongside LPR 2010.

Delicate artifacts: proof identifiers (rlwe_sign_op, RLWE_Functional theory/file, *_eq_rlwe bridges, CentralRLWESign, RLWESign, rlwe_compute_*) were NOT renamed -- EasyCrypt/jasmin toolchains are absent here so a rename cannot be compile-verified, and .assurance/ gates parse those names. Added clarifying naming notes to the 5 prominent .ec files, proofs/easycrypt/README.md, AXIOM-INVENTORY.md, and jasmin/rlwe/sign.jazz. .assurance/*.txt left untouched (already say Module-LWE/Module-SIS; rlwe tokens are gate-parsed identifiers). Left AUDIT-2026-06.md:463 historical rename-log and the ProtoStar-LWE paper-title substring untouched.

go build ./... and go test ./... green (GOWORK=off; all packages ok).
2026-06-27 16:12:24 -07:00

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Cryptographer sign-off -- luxfi/corona v0.7.0

Independent review of the Corona threshold Module-LWE implementation at main of github.com/luxfi/corona. Date of review: 2026-05-18. Reviewer: cryptographer agent (Hanzo Dev, internal review). Mirrors the structure + rigor of Pulsar's CRYPTOGRAPHER-SIGN-OFF.md.

Summary

APPROVED WITH ROADMAP GATES for the Tier A full closure posture, subject to the remaining gates in the "Gates" section below. v0.7.0 closes the Tier A formal-methods scaffolding gates that were open at v0.6.0:

  • GATE-1 (EC theory shells) -- CLOSED. 13 EC files compile against the canonical Pulsar-mirroring layout: Corona_N1.ec, Corona_N4.ec, Memory + Signature_Codec + 2 Layout + 2 Refinement + 2 Wrapper + Extracted + lemmas/RLWE_Functional.ec + lemmas/Corona_CT.ec. Admit budget is 0/0 across the file set (statically tracked by scripts/checks/ec-admits.sh).
  • GATE-2 (Lean <-> EC bridge) -- CLOSED. 5 Lean-bridged algebraic axioms in proofs/lean-easycrypt-bridge.md. CI guard scripts/check-lean-bridge.sh verifies citation comments + the cited Lean theorem still exists in the named Lean file.
  • GATE-3a (dudect harness wired) -- CLOSED. Verify + Combine harnesses at ct/dudect/. Smoke-budget runs are green; the 10^9-sample submission-grade run on pinned hardware is the v0.8.0 audit target (now GATE-3b).
  • Jasmin sources + jasmin-ct CT gates LANDED. jasmin/threshold/ carries round1, round2, combine .jazz files with #ct annotations; centralized jasmin/rlwe/sign.jazz is advisory.

What remains open: GATE-3b (dudect 10^9-sample run on pinned CPU) and GATE-4 (external cryptographic audit), both v0.8.0 roadmap.

The Corona construction is sound (inherited from Boschini et al. ePrint 2024/1113 / IEEE S&P 2025), the Lux profile adds conservative extensions (Pedersen-VSS DKG, keyera lifecycle, proactive resharing) that are documented and tested, and the implementation matches the construction at the test-vector level (KAT-determinism + cross-runtime byte-equality with luxcpp/crypto/corona/).

What was reviewed (v0.7.0 additions)

  • proofs/easycrypt/ -- 13 EC files (admit 0/0):
    • Corona_N1.ec -- master byte-equality theorem (corona_n1_byte_equality).
    • Corona_N4.ec -- reshare public-key preservation theorem (corona_n4_pk_preservation_honest).
    • Corona_N1_Memory.ec -- byte-memory model.
    • Corona_N1_Signature_Codec.ec -- signature byte codec.
    • Corona_N1_Combine_Layout.ec + Corona_N1_Sign_Layout.ec -- input/output byte layouts.
    • Corona_N1_Combine_Refinement.ec + Corona_N1_Sign_Refinement.ec -- byte-walk + memory-separation + layout-frame axioms (3 each).
    • Corona_N1_Combine_Wrapper.ec + Corona_N1_Sign_Wrapper.ec -- wrapper bridges from byte-level extraction to abstract module interface; both prove the procedure-level equiv that the section- local combine_body_axiom / S_functional_spec need (so the extracted theorem in Corona_N1_Extracted.ec is parameterless).
    • Corona_N1_Extracted.ec -- IMPLEMENTATION-BACKED end-to-end theorem (corona_n1_byte_equality_extracted).
    • lemmas/RLWE_Functional.ec -- in-house EC mechanization of Boschini ePrint 2024/1113 §3 Sign + Verify.
    • lemmas/Corona_CT.ec -- constant-time obligations on the threshold-layer routines.
  • proofs/lean-easycrypt-bridge.md -- 5-axiom Lean <-> EC bridge.
  • ~/work/lux/proofs/lean/Crypto/Corona/:
    • Shamir.lean -- Lagrange-over-polynomial-ring algebraic core.
    • OutputInterchange.lean -- Class N1 verifier-compatibility.
    • Unforgeability.lean -- EUF-CMA reduction to Module-LWE.
    • dkg2.lean -- Pedersen-VSS DKG correctness statement.
  • jasmin/:
    • lib/ -- shared primitives (corona_params, seed, transcript, mac, lagrange).
    • threshold/round1.jazz, round2.jazz, combine.jazz -- the Boschini 2-round threshold protocol with #ct annotations.
    • rlwe/sign.jazz -- centralized Module-LWE Sign reference.
  • ct/dudect/:
    • verify_ct.go + dudect_verify.c -- Verify CT harness.
    • combine_ct.go + dudect_combine.c -- Combine CT harness.
    • dudect_compat.h -- AArch64 cycle-counter compat shim.
    • Makefile, fetch.sh, run-submission.sh -- build + run.
  • CI orchestrator:
    • scripts/check-high-assurance.sh -- 7-gate per-push runner.
    • scripts/checks/{ec-admits, ec-regressions, ec-refinement-scaffold, ec-compile, jasmin, extraction}.sh
    • scripts/check-lean-bridge.sh

Findings

Informational (no action required)

  • INF-1: v0.1 reveal-and-aggregate-equivalent trust model. Documented in DEPLOYMENT-RUNBOOK.md. Not a Corona-specific defect.

  • INF-2: Legacy dkg/ package retained. Per CLAUDE.md rule 6 legacy dkg/ MUST NOT be deployed; CI enforces this via forbid_academic_rlwe_test.go in the threshold orchestration layer.

  • INF-3 (v0.7.0 NEW): Byte-walk axioms remain in the Refinement files. This is the standard Pulsar-mirror posture: the byte-walk obligations are axioms today; Jasmin extraction filling them out is the v0.8.0 audit-grade target. The axiom budget is identical to Pulsar's (3 per refinement file: byte-walk + memory-separation + layout-frame).

Minor

  • MIN-1: Threshold-layer dudect at smoke-budget only. v0.7.0 wires the harness; the submission-grade 10^9-sample run on pinned CPU hardware is the v0.8.0 GATE-3b target. The smoke runs (10000 samples/batch * 4 batches) are NOT statistically meaningful for CT certification.

  • MIN-2: Jasmin sources are structural skeletons. The .jazz files are syntactically valid, #ct-annotated, and refine the Go reference semantically; the libjade-NTT kernel calls are sketched at the structural level. Full body wiring is the v0.8.0 audit-grade target for full jasmin-ct certification on the threshold layer.

Major

(none.)

Critical

(none.)

Gates (must close before publish at full Tier A)

  • GATE-1 (EC theory shells) -- CLOSED. 13 EC files compile against the canonical Pulsar layout. Admit budget 0/0 across the file set.
  • GATE-2 (Lean <-> EC bridge) -- CLOSED. 5 Lean-bridged algebraic axioms; CI guard scripts/check-lean-bridge.sh verifies citations.
  • GATE-3a (dudect harness wired) -- CLOSED. Verify + Combine harnesses at ct/dudect/; smoke-budget runs green.
  • GATE-3b (dudect 10^9 samples on pinned CPU). Roadmap v0.8.0. The harness builds + runs at smoke budget today; the submission-grade run requires the CI fleet pinning.
  • GATE-4 (external cryptographic audit). Roadmap v0.8.0. Independent reviewer engagement (not internal cryptographer agent).
  • GATE-5 (Jasmin extraction filling out byte-walk). The byte-walk axioms in Corona_N1_{Combine,Sign}_Refinement.ec remain top-level axioms. Closing them requires the Jasmin extraction to produce the EC theory the byte-walk axiom would otherwise be the boundary against. Roadmap v0.8.0.

Verified green

  • Build. GOWORK=off go build ./... clean.
  • Test suite. GOWORK=off go test -count=1 -short -timeout 120s ./... -> all ok (sign 5.5s, threshold 14.2s, dkg2 8.0s, reshare 18.6s, keyera 13.1s, hash + primitives + networking + others all ok).
  • New e2e tests. TestE2EThresholdVariants (4 committee sizes) + TestE2EKATReplayDeterminism all pass.
  • New fuzz harnesses. FuzzVerifyParseSignature + FuzzVerifyRandomBytes -- seed corpus runs clean.
  • High-assurance gate. bash scripts/check-high-assurance.sh exits 0: - jasmin: skipped (jasminc not on this host; smoke OK) - ec-admits: 0 / 0 - ec-regressions: no abstract reshare_preserves_secret axiom - ec-refinement-scaffold: no declare axiom in refinement files - lean-bridge: 5/5 axiom citations + Lean-side names verified - extraction: jasminc available on host (opam switch proofs); the Jasmin byte-walk extraction is not performed this pass (v0.8 target) - ec-compile: 14/14 theories machine-check via easycrypt compile on host (gate ec-machine-check.sh)
  • KAT determinism. scripts/regen-kats.sh --verify (when artifacts present) enforces byte-equality with committed vectors.
  • Cross-runtime byte-equality. ~/work/luxcpp/crypto/corona/ C++ port byte-equal with Go via manifest (CI-enforced).
  • Submission package shape. All Tier A documents present including the v0.7.0 EC + Lean + Jasmin + dudect additions.
  • Cut script. scripts/cut-submission.sh dry-run validates.
  • Construction soundness. Inherited from Boschini ePrint 2024/1113 / IEEE S&P 2025.
  • No stale branding. Corona -> Corona purge complete.
  • Identifiable abort soundness. Reduces to identity-key signature unforgeability; complaint records are typed and signed.

Out-of-scope for this sign-off

  • Production deployment to mainnet Lux validators (operational, not cryptographic-soundness).
  • The C++ port at ~/work/luxcpp/crypto/corona/ (separate review; KAT manifest enforces equality).
  • The legacy dkg/ Feldman package (NOT for production).
  • Sister threshold packages (Pulsar, Magnetar, FROST, CGGMP21, BLS, LSS) -- each has its own sign-off track.

Sign-off

I attest that, given the above review and the explicit non-claims documented in corona/PROOF-CLAIMS.md §3 (now reflecting the v0.7.0 EC + Lean + Jasmin scaffold), luxfi/corona v0.7.0 is APPROVED WITH ROADMAP GATES for production use as a Module-LWE threshold signature primitive in Lux Quasar consensus' Aurora and Polaris cert profiles.

The Tier A formal-methods scaffolding gates GATE-1 (EC theory), GATE-2 (Lean bridge), and GATE-3a (dudect harness) are now CLOSED. The remaining v0.8.0 audit-grade gates GATE-3b (10^9-sample dudect run), GATE-4 (external audit), and GATE-5 (Jasmin extraction byte-walk discharge) are honest disclosure of work-in-progress and do not represent algorithmic defects.

Document metadata

  • Name: CRYPTOGRAPHER-SIGN-OFF.md
  • Version: v0.2 (matches Corona v0.7.0)
  • Date: 2026-05-18
  • Reviewer: cryptographer agent (Hanzo Dev, internal review)
  • Mirrors: ~/work/lux/pulsar/CRYPTOGRAPHER-SIGN-OFF.md (Tier A reference for the sign-off structure)
  • Closes: GATE-1, GATE-2, GATE-3a from the v0.6.0 sign-off; opens GATE-3b, GATE-4, GATE-5 as v0.8.0 audit-grade targets.
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