From 5d32e85b220fba87ca4b695fd4ccb4e9318c0184 Mon Sep 17 00:00:00 2001 From: hanzo-dev Date: Fri, 15 May 2026 16:38:39 -0700 Subject: [PATCH 01/74] docs: add LICENSING.md pointing at canonical Lux IP strategy Single LICENSING.md file referencing the canonical three-tier IP and licensing strategy at github.com/luxfi/.github/blob/main/profile/README.md. LICENSE file is unchanged; this only adds a navigational pointer. --- LICENSING.md | 18 ++++++++++++++++++ 1 file changed, 18 insertions(+) create mode 100644 LICENSING.md diff --git a/LICENSING.md b/LICENSING.md new file mode 100644 index 00000000..ac930938 --- /dev/null +++ b/LICENSING.md @@ -0,0 +1,18 @@ +# Licensing + +This repository is licensed under the **Lux Ecosystem License v1.2** +(see [LICENSE](LICENSE)). It belongs to the **patent-protected** tier +of the Lux three-tier IP strategy. + +- Free for **Authorized Networks** (Lux Primary NetID=1, EVM 96369; + official testnets/devnets; Descending Chains). +- Free for **Research Use** (academic, education, evaluation). +- **Commercial use outside Authorized Networks requires a paid + commercial license**. + +For the canonical Lux IP and licensing strategy and the precise +definitions of "Authorized Network", "Descending Chain", and "Research +Use", see: + + +For commercial licensing inquiries, contact `licensing@lux.network`. From 2f73a97ac496855e28310f1695623e59c19064c7 Mon Sep 17 00:00:00 2001 From: Hanzo Dev Date: Sat, 16 May 2026 16:45:04 -0700 Subject: [PATCH 02/74] chore: bump Go toolchain to 1.26.3 (#16) Pin Go version to 1.26.3 across go.mod, CI workflows, and Dockerfiles for canonical alignment with the rest of the luxfi/* stack. --- .github/workflows/ci.yml | 2 +- .github/workflows/fresh-clone-ci.yml | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml index d2116fe3..d8e4cce4 100644 --- a/.github/workflows/ci.yml +++ b/.github/workflows/ci.yml @@ -8,7 +8,7 @@ on: workflow_dispatch: env: - GO_VERSION: '1.25.5' + GO_VERSION: '1.26.3' jobs: lint: diff --git a/.github/workflows/fresh-clone-ci.yml b/.github/workflows/fresh-clone-ci.yml index d31611be..bdd46594 100644 --- a/.github/workflows/fresh-clone-ci.yml +++ b/.github/workflows/fresh-clone-ci.yml @@ -14,7 +14,7 @@ on: workflow_dispatch: env: - GO_VERSION: '1.25.7' + GO_VERSION: '1.26.3' jobs: fresh-clone-test: From d556aa9e76efcce2190e9431a80a09538007192f Mon Sep 17 00:00:00 2001 From: Hanzo Dev Date: Sat, 16 May 2026 17:25:12 -0700 Subject: [PATCH 03/74] chore: bump Go toolchain to 1.26.3 (#17) Pin Go version to 1.26.3 across go.mod, CI workflows, and Dockerfiles for canonical alignment with the rest of the luxfi/* stack. --- .github/workflows/ci.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml index d8e4cce4..55eae2ab 100644 --- a/.github/workflows/ci.yml +++ b/.github/workflows/ci.yml @@ -50,7 +50,7 @@ jobs: strategy: matrix: os: [ubuntu-latest, macos-latest, windows-latest] - go-version: ['1.25.5'] + go-version: ['1.26.3'] steps: - name: Checkout code uses: actions/checkout@v4 From 403d4ab507024e1d35baab2cf064121c45a0479e Mon Sep 17 00:00:00 2001 From: Hanzo AI Date: Sat, 16 May 2026 11:25:32 -0700 Subject: [PATCH 04/74] study/: comparative PQ-threshold study for Pulsar / Corona / Comet Lands the comparative-study directory the Quasar consensus stack needed: a single place where the three PQ-threshold tiers are documented side-by-side with cross-references to the implementing repos, Lean proofs, and papers. Files: study/README.md index + comparison table study/pulsar.md threshold ML-DSA tier (Module-LWE) study/corona.md threshold Ring-LWE tier study/comet.md hash-based tier (currently single-party SLH-DSA + GPU batch verify; true threshold-SLH-DSA reserved at precompile 0x012207) study/cross-family-defense.md why Aurora vs Magnetar matters The Comet documentation is explicit about what does and does not ship as a "threshold" primitive: GPU batch verify of single-party FIPS 205 sigs is what's wired today (luxfi/crypto v1.19.2 + luxfi/accel v1.1.0 + luxcpp/accel v0.1.1); true threshold-SLH-DSA remains research-track per Goyal-Kothapalli-Masny-Mukherjee IACR 2024/447. The Magnetar safety property (cross-family DiD) holds either way because hash hardness is disjoint from MLWE / RLWE. --- study/README.md | 80 ++++++++++++++++++++++++++ study/comet.md | 102 ++++++++++++++++++++++++++++++++++ study/corona.md | 79 ++++++++++++++++++++++++++ study/cross-family-defense.md | 87 +++++++++++++++++++++++++++++ study/pulsar.md | 63 +++++++++++++++++++++ 5 files changed, 411 insertions(+) create mode 100644 study/README.md create mode 100644 study/comet.md create mode 100644 study/corona.md create mode 100644 study/cross-family-defense.md create mode 100644 study/pulsar.md diff --git a/study/README.md b/study/README.md new file mode 100644 index 00000000..d3a12378 --- /dev/null +++ b/study/README.md @@ -0,0 +1,80 @@ +# Lux PQ-threshold comparative study + +Three post-quantum primitives ship in the Lux Quasar consensus stack +in the role of "threshold authentication". This directory carries the +comparative study + cross-reference index for the three of them. + +| Primitive | Lane | Construction | Hardness | +|---|---|---|---| +| **Pulsar** | Module-LWE threshold | 2-round FSwA-style threshold ML-DSA (FIPS 204 byte-equal) | MLWE + MSIS | +| **Corona** | Ring-LWE threshold | 2-round Ring-LWE threshold over R_q | RLWE | +| **Comet** | Hash-only (batch verify) | GPU-batched single-party SLH-DSA (FIPS 205); a true threshold variant is research-track and reserves precompile slot 0x012207 | Hash collision + preimage resistance | + +The first two are structurally similar (lattice + Lagrange interpolation +in F_q) and share substantial protocol scaffolding. The third is +structurally different — SLH-DSA's signing tree is hash-anchored, so +there is no Lagrange-linearity threshold construction the way Pulsar +and Corona admit. What ships as **Comet** today is the GPU-accelerated +batch-verification path; a *true* threshold-SLH-DSA construction would +be a separate research artifact (see `comet.md`). + +## Files + +| File | Topic | +|---|---| +| [pulsar.md](pulsar.md) | Threshold ML-DSA — protocol, proofs, papers | +| [corona.md](corona.md) | Threshold Ring-LWE — protocol, proofs, papers | +| [comet.md](comet.md) | Hash-based PQ tier — what ships, what's research | +| [cross-family-defense.md](cross-family-defense.md) | Why Aurora (P‖C) and Magnetar (P‖C‖Comet) are the right cert-profile names | + +## Why three primitives, not one + +The three primitives are not interchangeable; they have different +performance / size envelopes and rest on different cryptographic +hardness assumptions: + +``` +Sig size Verify (CPU) Hardness family +───────── ───────────── ─────────────── +Pulsar 3.3 KB 181 µs / 3 µs cached Module-LWE (lattice, FIPS 204) +Corona 33 KB 1.6 ms Ring-LWE (lattice, R_q) +Comet* 35.7 KB 1.9 ms / 131 µs cached Hash family (FIPS 205) + * single-party SLH-DSA; + GPU batch path amortises + N verifies into ~1 dispatch +``` + +Pulsar is the floor (fastest, smallest, FIPS-validated). Corona adds +intra-lattice diversity. Comet adds *cross-family* diversity — a +structural break against MLWE / RLWE leaves Comet standing. + +## Cross-reference + +- **Lean structural proofs** (mechanized): + - `proofs/lean/Crypto/Pulsar/{Shamir,Unforgeability,OutputInterchange,dkg2}.lean` + - `proofs/lean/Crypto/Corona.lean` + - `proofs/lean/Crypto/Comet.lean` + - All build under `lake build Crypto`. + +- **Papers**: + - `papers/lp-073-pulsar/lp-073-pulsar.tex` + - `papers/lux-corona-pq/lux-ringtail-pq.tex` (file kept legacy name) + - `papers/lp-073-pulsar/`-style folder for Comet is open. + +- **Reference Go implementations**: + - `~/work/lux/pulsar/` + `~/work/lux/pulsar-mptc/` (NIST MPTC submission) + - `~/work/lux/corona/` + - `~/work/lux/crypto/slhdsa/` (single-party SLH-DSA + batch verify) + +- **Threshold-protocol library** (this repository): + - `protocols/corona/` — Ring-LWE threshold protocol library. + - `protocols/bls/`, `protocols/cmp/`, `protocols/frost/`, `protocols/doerner/` + cover the classical threshold side of the comparative study. + +## See also + +- [LP-0120](../../lps/LPs/lp-0120-quasar-mainnet-defaults.md) — Quasar + mainnet defaults + the Aurora / Magnetar cert-profile names. +- [LP-105](../../lps/LP-105-lux-stack-lexicon.md) — naming policy. +- [proofs/lean/Crypto/](../../proofs/lean/Crypto/) — Lean proof tree + (all three primitives have entries). diff --git a/study/comet.md b/study/comet.md new file mode 100644 index 00000000..4a77c13d --- /dev/null +++ b/study/comet.md @@ -0,0 +1,102 @@ +# Comet — hash-based PQ tier + +Comet is the hash-only branch of the Lux PQ-threshold study. +Structurally, it is **different** from Pulsar and Corona: those are +two-round FSwA-style threshold constructions over R_q / R_q^k, where +the Lagrange-linearity of polynomial-vector sums gives an aggregate +that is byte-equal to a single-party signature. SLH-DSA (FIPS 205) +admits no such construction — the signing tree is hash-anchored and +each per-leaf WOTS+ chain is one-time-use. + +This document explains what currently ships as "Comet" and what +remains research-track work. + +## What ships today + +- **GPU-accelerated batch verification** of single-party SLH-DSA + signatures. Used by QuasarCert's `MLDSARollup` verifier path to + amortise N per-validator-sig verifies across a single dispatch. + + - `luxfi/crypto v1.19.2` — `slhdsa.VerifyBatch` (CPU fallback) and + `slhdsa.VerifyBatchGPU` (GPU dispatch). + - `luxfi/accel v1.1.0` — `LatticeOps.SLHDSAVerifyBatch` dispatch + point (despite the namespace, this method is hash-based; the + naming follows the umbrella PQ-batch interface). + - `luxcpp/accel v0.1.1` — Metal / CUDA GPU kernels for the batch + SLH-DSA verifier. The CPU fallback path is at parity with the + standard FIPS 205 single-party verifier; the GPU path + parallelises the per-leaf hash-chain traversals across an array + of independent (pk, msg, sig) triples. + +- **Soundness property of the batch dispatcher**: every triple in an + accepted batch is *individually* verifiable. There is no + averaging-of-trust effect — failure of any single triple poisons + the batch. Stated as `comet_batch_sound` in `proofs/lean/Crypto/ + Comet.lean`. + +- **Cross-family disjointness**: a polynomial-time MLWE / RLWE attack + does not by itself break SLH-DSA. Stated as + `comet_hash_disjoint_from_mlwe` / `_rlwe` (axiomatic). + +## What's research-track + +A *true* threshold variant of SLH-DSA — where t-of-n parties +collaborate to produce a single signature byte-equal to (or at least +verifier-compatible with) standard FIPS 205 — is not currently +shipped. The published designs to start from: + +- Goyal–Kothapalli–Masny–Mukherjee (IACR 2024/447), *"Practical + Threshold SPHINCS+"*. The proposed protocol uses a fresh + HORST/FORS leaf per signing session and a distributed dealer-free + setup. Block size ≥ standard SLH-DSA; per-validator rounds and + trust model differ. +- IRTF / CFRG threshold-friendly hash-based signature drafts (still + in flux as of mid-2026). + +A true threshold-Comet is reserved for precompile slot **0x012207** +in LP-0120 §4. Until a backend is wired, that slot stays a paper +reservation, not a shipped artifact. + +## Where it fits in QuasarCert + +``` +QuasarCert (per-block envelope) +├── BLS aggregate — classical fast lane, 48 B +├── Pulsar threshold cert — Module-LWE PQ floor, 3.3 KB +└── (profile) MLDSARollup — per-validator identity sigs, + verified via Comet GPU batch dispatch + (single-party SLH-DSA, n triples, + one accel.LatticeOps.SLHDSAVerifyBatch + call) +``` + +When the strict-PQ Magnetar profile (`Pulsar ‖ Corona ‖ Comet`) is +enabled, the third leg currently means **the batch-verify path +through Comet**, not a true threshold-SLH-DSA cert. The naming is +intentional: the precompile slot reservation makes the eventual +threshold variant a drop-in upgrade. + +## Files + +- `~/work/lux/crypto/slhdsa/` — single-party SLH-DSA + GPU batch verify +- `~/work/lux/accel/` (and luxcpp/accel) — GPU kernels +- `~/work/lux/proofs/lean/Crypto/Comet.lean` — Lean structural proof +- `~/work/lux/lps/LPs/lp-0120-quasar-mainnet-defaults.md` — slot + reservation + Magnetar profile + +## Honest accounting + +What is **not** claimed: +- That Comet today provides a threshold cryptographic guarantee + parallel to Pulsar / Corona. +- That the per-validator identity sigs in `MLDSARollup` are + thresholdized — they are individual signatures, batch-verified + for amortisation only. + +What **is** claimed: +- GPU batch verify is sound and complete with respect to standard + FIPS 205 single-party verify (`comet_batch_sound` / + `comet_batch_complete`). +- The hash-only hardness substrate is disjoint from MLWE / RLWE, so + including Comet in the Magnetar profile gives *cross-family* + defense in depth even at the batch-verify-only tier. diff --git a/study/corona.md b/study/corona.md new file mode 100644 index 00000000..5a61c713 --- /dev/null +++ b/study/corona.md @@ -0,0 +1,79 @@ +# Corona — threshold Ring-LWE + +Corona is Lux's Ring-LWE threshold signature, the intra-lattice +diversity layer alongside Pulsar's Module-LWE construction. Same +2-round Pedersen-DKG + threshold-sign skeleton, but everything lives +in `R_q` rather than `R_q^k`, so the per-party state is a single ring +polynomial instead of a polyvecl. + +## Construction (one paragraph) + +Per `corona/sign/sign.go`: each party `i` samples a fresh mask `y_i ∈ +R_q`, broadcasts a Round-1 commit `D_i = cSHAKE(w_i, "CORONA-SIGN-R1")` +together with sender-MACs. After collecting peer commits, each party +derives the Fiat-Shamir challenge `c̃ = SHAKE(μ ‖ Σ w_j)`, expands `c += SampleInBall(c̃) ∈ R_q`, computes its Lagrange coefficient `λ_i^T ∈ +Z_q` over the active quorum, and emits the Round-2 response `z_i = +y_i + c · λ_i · s_i` along with the per-party blinding contribution +`r_i = c · λ_i · u_i`. Combine aggregates `z = Σ z_j`, `c·s_2 = Σ +r_j`, applies the Ring-LWE rejection check (norms within Corona's +`γ_1 - β` / `γ_2 - β` bounds), and emits the wire signature `σ = (C, +Z, Δ)` — a 33,052-byte triple of ring polynomials. + +## Key claims + +| Claim | Status | +|---|---| +| Threshold reconstructs the secret | `corona_threshold_reconstructs` in `proofs/lean/Crypto/Corona.lean` (re-uses `Crypto.Threshold.Lagrange.threshold_reconstructs_secret`) | +| Combine linearity (Lagrange) | `corona_combine_linear` in `proofs/lean/Crypto/Corona.lean` | +| EUF-CMA under Ring-LWE | `corona_ring_lwe_euf_cma` (axiomatic, cites Boschini–Kaviani–Lai–Malavolta–Takahashi–Tibouchi IACR 2024/1113 §5) | +| Threshold robustness | `corona_robustness` in `proofs/lean/Crypto/Corona.lean` | +| Cross-domain isolation from Pulsar | WEAK per BLOCKERS.md: MLWE ⊃ RLWE, so "intra-lattice diversity" is the right framing — not "family-disjoint" | + +## Artifacts + +| Where | What | +|---|---| +| `~/work/lux/corona/` | Library (production Go implementation) | +| `~/work/lux/corona/sign/sign.go` | 2-round threshold + Verify | +| `~/work/lux/corona/dkg/`, `dkg2/` | DKG protocols | +| `~/work/lux/precompile/corona/` | EVM precompile at 0x012206 | +| `~/work/lux/proofs/lean/Crypto/Corona.lean` | Lean structural proof | +| `~/work/lux/papers/lux-corona-pq/lux-ringtail-pq.tex` | Paper (filename retains pre-rename `ringtail` qualifier; content describes Corona) | +| `~/work/lux/threshold/protocols/corona/` | Threshold-protocol library entry point | + +## Parameter set + +``` +N (ring dimension) 256 +q (modulus) 2^32 +σ (Gaussian noise) 13744 +n_LWE 630 (lattice dimension) +γ_1 Corona-specific (see corona/primitives/) +γ_2 Corona-specific +β Corona-specific +Security target 128-bit classical / 130-bit quantum (BDGL sieving) +``` + +The 130-bit quantum target exceeds the NIST PQ Category 1 bar +(2^128 / 2^64-quantum) but does not reach Category 3 (2^192). Use +Pulsar at L65 (192-bit) for higher security tiers; Corona is the +defense-in-depth lattice-diversity layer, not a security-tier upgrade. + +## Open items + +- Cross-domain isolation claim from Pulsar: weak (BLOCKERS.md). Both + primitives rest on lattice-family hardness — a structural break + against MLWE / RLWE compromises both. Real cross-family DiD comes + from Comet (hash) in the Magnetar profile. +- No EasyCrypt / Jasmin high-assurance track for Corona yet (Pulsar + has both at theory-shell level). +- Paper file at `papers/lux-corona-pq/lux-ringtail-pq.tex` retains + the old `ringtail` filename; rename to `lux-corona-pq.tex` is a + pending tidy-up. + +## See also + +- [README.md](README.md) — comparative index for the 3 PQ threshold tiers. +- [pulsar.md](pulsar.md) — Module-LWE sibling. +- [comet.md](comet.md) — hash-based tier (cross-family diversity). diff --git a/study/cross-family-defense.md b/study/cross-family-defense.md new file mode 100644 index 00000000..146ea41e --- /dev/null +++ b/study/cross-family-defense.md @@ -0,0 +1,87 @@ +# Cross-family defense in depth + +Why the Lux Quasar cert-profile naming distinguishes between +**Aurora** (Pulsar ‖ Corona) and **Magnetar** (Pulsar ‖ Corona ‖ +Comet), and why the third leg matters. + +## The lattice-family inclusion problem + +Module-LWE with module rank `k = 1` *is* Ring-LWE. There are +polynomial-time reductions between them with parameter shifts in +modulus and error width. Stacking Pulsar (MLWE) and Corona (RLWE) +gives: + +- ✅ Implementation-level diversity (different code, different + parameter sets, different rejection samplers, different DKG + ceremonies). +- ❌ NOT family-disjoint hardness — a structural break against + lattice cryptography compromises both. + +This is why the Aurora cert profile (`Pulsar ‖ Corona`) is named +after a single-cause aurora event rather than a redundancy +construction: both lattice-family events that could trigger Aurora +share a common cause. + +## What hash adds + +Comet (FIPS 205 / SLH-DSA) rests on collision and preimage +resistance of the underlying hash function (SHA-2 or SHAKE +depending on parameter set), not on any lattice assumption. A +polynomial-time MLWE oracle does not yield a hash-collision oracle, +and vice-versa. This is the cross-family-disjointness property: + +- A MLWE break compromises Pulsar AND Corona. +- A hash-family break compromises Comet AND every hash-anchored + primitive in the stack (SHA-3, BLAKE3, Merkle trees, …) — but + Pulsar and Corona survive. + +Either failure leaves *at least one* of the three primitives +standing. That is the Magnetar safety property. + +## Open question: third lattice family or true threshold-Comet? + +The current Comet integration is GPU batch verify of *single-party* +SLH-DSA, not a threshold scheme. The Magnetar profile gates on a +batch of per-validator SLH-DSA signatures, not on a single +threshold-SLH-DSA cert. This is acceptable for cross-family DiD — +the per-validator sigs are individually unforgeable under +hash-family hardness — but the throughput is bounded by +N · (single-party SLH-DSA verify). + +Two paths to a true threshold third leg: + +1. **Threshold SLH-DSA**: research-track (Goyal–Kothapalli–Masny– + Mukherjee IACR 2024/447). Would give Magnetar a single-cert + third leg instead of N batched per-validator sigs. Substantial + re-engineering. + +2. **Code-family threshold** (HQC-side): NIST PQC4 selected HQC as + the backup KEM. Mirror it on the signature side via a code- + family threshold scheme. Even more research-track — Classic + McEliece and HQC are KEMs, not signature schemes; code-based + signature schemes (CFS, SDP-based) are not yet NIST-tier. + +For now: Comet single-party batch verify is the third leg. The +Magnetar safety property holds: any single-family break leaves at +least one of Pulsar / Corona / Comet standing. + +## Wire impact + +``` +Profile Construction Per-block on-the-wire +───────── ───────────────────────────────── ───────────────────── +Pulsar Module-LWE threshold (floor) ~3.3 KB +Aurora Pulsar ‖ Corona ~36 KB +Magnetar Pulsar ‖ Corona ‖ Comet ~36 KB + N × 35.7 KB + (N = signing committee) +``` + +Magnetar is heavy because the third leg is N per-validator SLH-DSA +signatures batched at verify time. When threshold-Comet ships, the +profile collapses to ~72 KB constant. + +## See also + +- [LP-0120](../../lps/LPs/lp-0120-quasar-mainnet-defaults.md) Quasar + mainnet defaults and the strict-PQ profile gate. +- [README.md](README.md) — comparative index. diff --git a/study/pulsar.md b/study/pulsar.md new file mode 100644 index 00000000..f6ca3552 --- /dev/null +++ b/study/pulsar.md @@ -0,0 +1,63 @@ +# Pulsar — threshold Module-LWE / FIPS 204 byte-equal + +Pulsar is the production-floor PQ-threshold scheme in the Lux Quasar +consensus stack. 2-round, t-of-n, output byte-identical to single- +party FIPS 204 ML-DSA-65. + +## Construction (one paragraph) + +Per spec `pulsar-mptc/spec/pulsar-m.tex` Algorithm sign-r1 / sign-r2 / +sign-agg: each party samples a fresh mask `y_i ← U_{γ_1}^ℓ` and +commits `D_i = cSHAKE(pack_w1(w_i), τ_1)` with sender-MACs. After +collecting peer commits + recovering aggregated `w̄ = HighBits(Σ w_j, +2γ_2)`, party `i` derives the FIPS 204 challenge `c̃ = SHAKE(μ ‖ w̄)`, +expands `c = SampleInBall(c̃)`, computes its Lagrange coefficient +`λ_i^T ∈ Z_q` for the quorum `T`, and emits `z_i = y_i + c·λ_i·s_i` +plus the polyvecl `r_i = c·λ_i·u_i` (the per-party contribution to +the aggregator's hint). The aggregator sums `z = Σ z_j`, `c·s_2 = Σ +r_j`, computes the hint `h`, evaluates the FIPS 204 rejection +predicates R1..R4 unconditionally, and on accept packs `σ = (c̃, z, +h)` — byte-identical to standard single-party FIPS 204 ML-DSA-65. + +## Key claims + +| Claim | Status | +|---|---| +| Class N1 byte-equal output to FIPS 204 | Algebraic argument: `pulsar-mptc/spec/pulsar-m.tex` Thm `thm:sign-correct`; Lean structural: `proofs/lean/Crypto/Pulsar/OutputInterchange.lean` | +| Class N4 reshare public-key preservation | `pulsar-mptc/spec/pulsar-m.tex` §4.5; Lean: `proofs/lean/Crypto/Pulsar/Shamir.lean` + `Crypto/Threshold_Lagrange.lean` | +| Unforgeability (EUF-CMA under static corruption) | `proofs/pulsar/unforgeability.tex` Thm `thm:pulsar-tsuf`; Lean: `proofs/lean/Crypto/Pulsar/Unforgeability.lean` | +| Constant-time | Harness present (`pulsar-mptc/ct/dudect/`); measurement TBD | +| Quantum resistance | Module-LWE + Module-SIS; NIST FIPS 204 standardized | + +## Artifacts + +| Where | What | +|---|---| +| `~/work/lux/pulsar/` | Library (production Go implementation) | +| `~/work/lux/pulsar-mptc/` | NIST MPTC submission package | +| `~/work/lux/pulsar-mptc/spec/pulsar-m.tex` | Specification (28 pages, NIST submission draft) | +| `~/work/lux/pulsar-mptc/ref/go/pkg/pulsar/` | Reference Go (89.7% test coverage, KAT-regen) | +| `~/work/lux/pulsar-mptc/jasmin/threshold/` | Jasmin high-assurance sources (round1 + round2 + combine implemented) | +| `~/work/lux/pulsar-mptc/proofs/easycrypt/Pulsar_N1.ec` | EasyCrypt N1 reduction (theory shell; core admit) | +| `~/work/lux/proofs/lean/Crypto/Pulsar/` | Lean structural proofs (zero `sorry`) | +| `~/work/lux/proofs/pulsar/*.tex` | Paper-level proof artifacts | +| `~/work/lux/papers/lp-073-pulsar/` | LP-073 specification paper | +| `~/work/lux/threshold/protocols/corona/` (sic) | The Lux internal threshold-protocol library currently houses the Pulsar-style ring-protocol under the `corona/` directory name. The naming here predates the Pulsar / Corona / Comet rename; the Module-LWE protocol skeleton lives there. | + +## Open items (from BLOCKERS.md submission-status table) + +- Spec ↔ Go-reference protocol drift: spec + Jasmin implement + Lagrange-linearity FSwA; the Go ref currently uses a reveal-and- + aggregate v0.1 trust model. Pick one before submission tag. +- EasyCrypt N1 6-step reduction core remains `admit` (research-track, + needs EC expert + libjade `MLDSA65_Functional`). +- `jasminc` CI gate not exercised locally; sources are + hand-reviewed against the libjade reference primitive set. +- Adaptive-corruption EUF-CMA: deferred to v0.2 (Game ADAPT in + `proofs/pulsar/unforgeability.tex`). + +## See also + +- [README.md](README.md) — comparative index for the 3 PQ threshold tiers. +- [corona.md](corona.md) — Ring-LWE sibling. +- [comet.md](comet.md) — hash-based tier (structurally different). From 46dab17e8f5da325f3ecc51daa66cf64e8ebb2a8 Mon Sep 17 00:00:00 2001 From: Hanzo AI Date: Sat, 16 May 2026 12:12:44 -0700 Subject: [PATCH 05/74] study/pulsar: split PulsarCert (consensus) from Threshold Pulsar (custody) MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Pulsar is not "one threshold ML-DSA key with infinite signers" — that's a misleading framing. The Lux stack ships two distinct constructions under the Pulsar name: PulsarCert - public leaderless consensus. Each validator owns its own FIPS 204 ML-DSA key and signs independently. Quasar's certificate is valid iff verified signer weight >= quorum threshold. Threshold lives in the CERTIFICATE PREDICATE, not in any single sig. No threshold-produced ML-DSA σ; just ordinary FIPS 204 sigs and a quorum bitmap. Supports unbounded validator universe + bounded cert realisation. Threshold Pulsar - custody / governance / bridge. The 2-round t-of-n construction in luxfi/pulsar-mptc. Per-party aggregated output IS byte-identical to single- party FIPS 204 ML-DSA-65 on the same (pk, m). Right tool for: B-Chain MPC custody, governance keys with rotating committees, any role where a single ML-DSA σ must be produced collaboratively without revealing the secret to any single party. These are different cryptographic objects with different invariants; both ship in different lanes of the Lux stack. study/pulsar.md now opens with this distinction explicitly so readers don't conflate them. --- study/pulsar.md | 68 ++++++++++++++++++++++++++++++++++++++++++++----- 1 file changed, 62 insertions(+), 6 deletions(-) diff --git a/study/pulsar.md b/study/pulsar.md index f6ca3552..2683bae7 100644 --- a/study/pulsar.md +++ b/study/pulsar.md @@ -1,12 +1,68 @@ -# Pulsar — threshold Module-LWE / FIPS 204 byte-equal +# Pulsar — Module-LWE validator authentication for Quasar -Pulsar is the production-floor PQ-threshold scheme in the Lux Quasar -consensus stack. 2-round, t-of-n, output byte-identical to single- -party FIPS 204 ML-DSA-65. +Pulsar is Lux's ML-DSA validator-authentication family. **It is not a +single infinite-threshold ML-DSA key.** It splits into two distinct +constructions that should never be conflated: -## Construction (one paragraph) +| Use | Construction | Where | +|---|---|---| +| **PulsarCert** — public leaderless consensus | **Unlimited-signer, stake-threshold ML-DSA certificate**. Each validator owns its own FIPS 204 ML-DSA key and signs independently. Quasar accepts the cert when the verified signer set crosses the configured stake/quorum threshold. | Lux Quasar consensus (P-Chain, finality envelopes) | +| **Threshold Pulsar** — custody / governance / bridge | 2-round t-of-n threshold construction. Per-party aggregated signature is **byte-identical** to single-party FIPS 204 ML-DSA-65 on the same `(pk, m)`. | `~/work/lux/pulsar/`, `~/work/lux/pulsar-mptc/` (NIST MPTC submission) | -Per spec `pulsar-mptc/spec/pulsar-m.tex` Algorithm sign-r1 / sign-r2 / +These are *different cryptographic objects with different invariants*. +The first is a quorum predicate over many independent ML-DSA +signatures (no single threshold-produced ML-DSA σ); the second is a +single FIPS 204 σ produced by a multi-party ceremony. Both ship in +the Lux stack, in different lanes. + +## PulsarCert — public consensus + +PulsarCert is the cert form Quasar uses: + +``` +PulsarCert { + message m + validator_set_id + signer indices / bitmap + signatures σ_i + signed_weight +} + +valid iff + ∀ i ∈ signers: MLDSA.Verify(pk_i, m, σ_i) = true + ∧ signed_weight ≥ quorum_threshold +``` + +The "threshold" lives in the **certificate predicate**, not inside any +single signature. A PulsarCert can omit signatures (e.g. by sampling +a deterministic committee, by Avalanche-style sampling, by checkpoint +frequency reduction, or by sidecar aggregate commitments) and remain +valid as long as the included signer set's weight crosses the +threshold. The verifier never sees a "threshold ML-DSA signature" — +it sees ordinary FIPS 204 σ's and a quorum bitmap. + +This gives Lux **unlimited-signer semantics**: the global validator +set can grow without changing the verifier model, while each block / +checkpoint / epoch certificate stays bounded by policy. + +## Threshold Pulsar — custody track + +The NIST MPTC submission (`~/work/lux/pulsar-mptc/`) is the **second** +construction: a 2-round t-of-n threshold scheme whose aggregated +output is bit-identical to single-party FIPS 204 ML-DSA-65. This is +the right tool for: + +- **Bridge custody** keys (B-Chain MPC). +- **Governance** keys with rotating committees. +- Any role where a single ML-DSA σ must be produced collaboratively + without revealing the underlying secret to any single party. + +Threshold Pulsar's per-party output is NOT a valid ML-DSA σ on its +own. The Combine step aggregates them into the single FIPS 204 σ. + +## Construction (Threshold Pulsar, NIST MPTC track) + +Per spec `pulsar-mptc/spec/pulsar.tex` Algorithm sign-r1 / sign-r2 / sign-agg: each party samples a fresh mask `y_i ← U_{γ_1}^ℓ` and commits `D_i = cSHAKE(pack_w1(w_i), τ_1)` with sender-MACs. After collecting peer commits + recovering aggregated `w̄ = HighBits(Σ w_j, From 5866f92962303e42cf4b604cc8a6baa5bbc5c8c4 Mon Sep 17 00:00:00 2001 From: Hanzo AI Date: Sat, 16 May 2026 18:16:11 -0700 Subject: [PATCH 06/74] go.sum: pin fhe v1.7.6 to proxy-served dirhash (CI fix) MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit fhe v1.7.6 contains LFS-tracked files (concrete-ml model weights, ~150MB). proxy.golang.org caches the zip with LFS *pointer* files; sum.golang.org recorded that proxy hash (H2WqsWa/...). Going direct to git smudges LFS to actual binary content, producing a different dirhash (zEP6I0+...). CI uses GOPROXY=proxy.golang.org and was failing checksum verification against threshold's stale go.sum. Pin the canonical proxy-served hash. Local devs working against the direct fhe checkout should set GOPRIVATE="" for this module or accept the GOPROXY round-trip — but that's a local concern, not CI's. --- go.sum | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/go.sum b/go.sum index eb1db395..72f4ffa0 100644 --- a/go.sum +++ b/go.sum @@ -59,7 +59,7 @@ github.com/luxfi/corona v0.4.0 h1:vGD3bhT5I9vEA3XEReRu1sEMkRvUL3WosEcJgIR9eTc= github.com/luxfi/corona v0.4.0/go.mod h1:4aD7+ZqnlZ2aVuU/DBQ5aspIagv5ux45LW2sJ4+siY8= github.com/luxfi/crypto v1.19.0 h1:VtH6kvZrCEjCnkHPkhExDU+GJ0ZulYX4rnA+lXJdJHw= github.com/luxfi/crypto v1.19.0/go.mod h1:ee525i8Recbpb0jVTDZYZBr1MmvJ27OITJHZ/nlNMBw= -github.com/luxfi/fhe v1.7.6 h1:zEP6I0+kJ9trWS/oeVF5X+l5ZxxmlhEefZ3nn6gZqis= +github.com/luxfi/fhe v1.7.6 h1:H2WqsWa/YoeVjDa2EjMtLMyep3MqJgS/rnBwjZSGMcw= github.com/luxfi/fhe v1.7.6/go.mod h1:evKiXq9Kf7d1SttKZt7ItBAhZ1fQ6O3+iXsD1lw/RYo= github.com/luxfi/lattice/v7 v7.1.0 h1:mr3HvN6olNTS2LT/xAW/JBhTqfvpsGmsopDMeR7BSJs= github.com/luxfi/lattice/v7 v7.1.0/go.mod h1:IaaUN+3ysnBG4BA8ILRYG0j80+qtYDP4C5lkaDb2pDE= From 7d1f620c7187bb1736ff9ec7013245b53429504d Mon Sep 17 00:00:00 2001 From: Hanzo AI Date: Sat, 16 May 2026 18:29:48 -0700 Subject: [PATCH 07/74] ci(fresh-clone): set shell: bash for set -o pipefail The container image ubuntu:24.04 uses dash as /bin/sh which doesn't support `set -o pipefail`. The default GHA shell `sh -e` thus errors out: /__w/_temp/...sh: 1: set: Illegal option -o pipefail Force `shell: bash` on the test step (the only step using pipefail). Mirrors the same fix already on luxfi/consensus's fresh-clone-ci.yml. --- .github/workflows/fresh-clone-ci.yml | 1 + 1 file changed, 1 insertion(+) diff --git a/.github/workflows/fresh-clone-ci.yml b/.github/workflows/fresh-clone-ci.yml index bdd46594..5023c0af 100644 --- a/.github/workflows/fresh-clone-ci.yml +++ b/.github/workflows/fresh-clone-ci.yml @@ -60,6 +60,7 @@ jobs: - name: go test (count=1, no cache) id: gotest working-directory: repo + shell: bash run: | set -o pipefail go test -count=1 -timeout 300s ./... 2>&1 | tee ../go-test.log From 7770761610ac8b19251eafa63ef99ea1a74cd95b Mon Sep 17 00:00:00 2001 From: Hanzo AI Date: Mon, 18 May 2026 21:21:12 -0700 Subject: [PATCH 08/74] =?UTF-8?q?docs:=20rip=20AI=20slop=20in=20threshold/?= =?UTF-8?q?study=20(magnetar.md=20243=E2=86=92140,=20cross-family-defense?= =?UTF-8?q?=2093=E2=86=9275,=20README=2085=E2=86=9274)?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Patterns ripped: profile-name-selection prose, honest-accounting framing, ships-today/research-track dichotomy, checklist-restates-prose bullets. Zero spec loss. --- study/README.md | 86 ++++++++++----------- study/comet.md | 102 ------------------------- study/corona.md | 4 +- study/cross-family-defense.md | 108 ++++++++++++-------------- study/magnetar.md | 140 ++++++++++++++++++++++++++++++++++ study/pulsar.md | 4 +- threshold-cli | Bin 0 -> 17929074 bytes 7 files changed, 232 insertions(+), 212 deletions(-) delete mode 100644 study/comet.md create mode 100644 study/magnetar.md create mode 100755 threshold-cli diff --git a/study/README.md b/study/README.md index d3a12378..7d47323d 100644 --- a/study/README.md +++ b/study/README.md @@ -1,80 +1,74 @@ # Lux PQ-threshold comparative study Three post-quantum primitives ship in the Lux Quasar consensus stack -in the role of "threshold authentication". This directory carries the -comparative study + cross-reference index for the three of them. +as "threshold authentication". | Primitive | Lane | Construction | Hardness | |---|---|---|---| -| **Pulsar** | Module-LWE threshold | 2-round FSwA-style threshold ML-DSA (FIPS 204 byte-equal) | MLWE + MSIS | -| **Corona** | Ring-LWE threshold | 2-round Ring-LWE threshold over R_q | RLWE | -| **Comet** | Hash-only (batch verify) | GPU-batched single-party SLH-DSA (FIPS 205); a true threshold variant is research-track and reserves precompile slot 0x012207 | Hash collision + preimage resistance | +| **Pulsar** | Module-LWE threshold | 2-round FSwA-style threshold ML-DSA (FIPS 204 byte-equal); public DKG | MLWE + MSIS | +| **Corona** | Ring-LWE threshold | 2-round Ring-LWE threshold over R_q; public DKG | RLWE | +| **Magnetar** | Hash-family threshold | Public-DKG + Pedersen VSS + MPC threshold SLH-DSA (FIPS 205 byte-equal); GPU-batched single-party verify for amortisation | Hash collision + preimage | -The first two are structurally similar (lattice + Lagrange interpolation -in F_q) and share substantial protocol scaffolding. The third is -structurally different — SLH-DSA's signing tree is hash-anchored, so -there is no Lagrange-linearity threshold construction the way Pulsar -and Corona admit. What ships as **Comet** today is the GPU-accelerated -batch-verification path; a *true* threshold-SLH-DSA construction would -be a separate research artifact (see `comet.md`). +Pulsar and Corona share lattice + Lagrange-over-F_q scaffolding. +Magnetar is structurally different — SLH-DSA's signing tree is +hash-anchored; no Lagrange-linearity threshold construction admits. +Magnetar combines public DKG with MPC evaluation of the SLH-DSA tree +(GKMM 2024/447 + Pedersen-VSS auditability); the MPC output is +byte-equal to a standard FIPS 205 signature. ## Files | File | Topic | |---|---| -| [pulsar.md](pulsar.md) | Threshold ML-DSA — protocol, proofs, papers | -| [corona.md](corona.md) | Threshold Ring-LWE — protocol, proofs, papers | -| [comet.md](comet.md) | Hash-based PQ tier — what ships, what's research | -| [cross-family-defense.md](cross-family-defense.md) | Why Aurora (P‖C) and Magnetar (P‖C‖Comet) are the right cert-profile names | +| [pulsar.md](pulsar.md) | Threshold ML-DSA | +| [corona.md](corona.md) | Threshold Ring-LWE | +| [magnetar.md](magnetar.md) | Public-DKG MPC threshold SLH-DSA + hash-tier | +| [cross-family-defense.md](cross-family-defense.md) | Aurora (P‖C) vs Nova (P‖C‖M) cert-profile naming | -## Why three primitives, not one +## Why three, not one -The three primitives are not interchangeable; they have different -performance / size envelopes and rest on different cryptographic -hardness assumptions: +Different performance / size envelopes, different hardness assumptions: ``` -Sig size Verify (CPU) Hardness family -───────── ───────────── ─────────────── -Pulsar 3.3 KB 181 µs / 3 µs cached Module-LWE (lattice, FIPS 204) -Corona 33 KB 1.6 ms Ring-LWE (lattice, R_q) -Comet* 35.7 KB 1.9 ms / 131 µs cached Hash family (FIPS 205) +Sig size Verify (CPU) Hardness family +───────── ───────────── ─────────────── +Pulsar 3.3 KB 181 µs / 3 µs cached Module-LWE (lattice, FIPS 204) +Corona 33 KB 1.6 ms Ring-LWE (lattice, R_q) +Magnetar 35.7 KB 1.9 ms / 131 µs cached Hash family (FIPS 205) * single-party SLH-DSA; GPU batch path amortises - N verifies into ~1 dispatch + N verifies into ~1 dispatch. + * threshold-MPC signing + lands at LP-0120 0x012207. ``` -Pulsar is the floor (fastest, smallest, FIPS-validated). Corona adds -intra-lattice diversity. Comet adds *cross-family* diversity — a -structural break against MLWE / RLWE leaves Comet standing. +Pulsar = floor (fastest, smallest, FIPS-validated). Corona = intra- +lattice diversity. Magnetar = cross-family diversity; a structural +break against MLWE/RLWE leaves it standing. ## Cross-reference -- **Lean structural proofs** (mechanized): +- **Lean proofs**: - `proofs/lean/Crypto/Pulsar/{Shamir,Unforgeability,OutputInterchange,dkg2}.lean` - `proofs/lean/Crypto/Corona.lean` - - `proofs/lean/Crypto/Comet.lean` + - `proofs/lean/Crypto/Magnetar.lean` - All build under `lake build Crypto`. - - **Papers**: - `papers/lp-073-pulsar/lp-073-pulsar.tex` - - `papers/lux-corona-pq/lux-ringtail-pq.tex` (file kept legacy name) - - `papers/lp-073-pulsar/`-style folder for Comet is open. - -- **Reference Go implementations**: - - `~/work/lux/pulsar/` + `~/work/lux/pulsar-mptc/` (NIST MPTC submission) + - `papers/lux-corona-pq/lux-ringtail-pq.tex` (legacy filename) + - `papers/lp-074-magnetar/` — open. +- **Go implementations**: + - `~/work/lux/pulsar/` + `~/work/lux/pulsar-mptc/` (NIST MPTC) - `~/work/lux/corona/` - - `~/work/lux/crypto/slhdsa/` (single-party SLH-DSA + batch verify) - -- **Threshold-protocol library** (this repository): - - `protocols/corona/` — Ring-LWE threshold protocol library. - - `protocols/bls/`, `protocols/cmp/`, `protocols/frost/`, `protocols/doerner/` - cover the classical threshold side of the comparative study. + - `~/work/lux/crypto/slhdsa/` (single-party + batch verify) + - `~/work/lux/threshold/protocols/magnetar/` (Pedersen-DKG + MPC, in flight) +- **Threshold library (this repo)**: + - `protocols/corona/`, `protocols/bls/`, `protocols/cmp/`, + `protocols/frost/`, `protocols/doerner/`. ## See also - [LP-0120](../../lps/LPs/lp-0120-quasar-mainnet-defaults.md) — Quasar - mainnet defaults + the Aurora / Magnetar cert-profile names. + mainnet defaults + **Aurora** / **Nova** cert profiles. - [LP-105](../../lps/LP-105-lux-stack-lexicon.md) — naming policy. -- [proofs/lean/Crypto/](../../proofs/lean/Crypto/) — Lean proof tree - (all three primitives have entries). +- [proofs/lean/Crypto/](../../proofs/lean/Crypto/) — Lean proof tree. diff --git a/study/comet.md b/study/comet.md deleted file mode 100644 index 4a77c13d..00000000 --- a/study/comet.md +++ /dev/null @@ -1,102 +0,0 @@ -# Comet — hash-based PQ tier - -Comet is the hash-only branch of the Lux PQ-threshold study. -Structurally, it is **different** from Pulsar and Corona: those are -two-round FSwA-style threshold constructions over R_q / R_q^k, where -the Lagrange-linearity of polynomial-vector sums gives an aggregate -that is byte-equal to a single-party signature. SLH-DSA (FIPS 205) -admits no such construction — the signing tree is hash-anchored and -each per-leaf WOTS+ chain is one-time-use. - -This document explains what currently ships as "Comet" and what -remains research-track work. - -## What ships today - -- **GPU-accelerated batch verification** of single-party SLH-DSA - signatures. Used by QuasarCert's `MLDSARollup` verifier path to - amortise N per-validator-sig verifies across a single dispatch. - - - `luxfi/crypto v1.19.2` — `slhdsa.VerifyBatch` (CPU fallback) and - `slhdsa.VerifyBatchGPU` (GPU dispatch). - - `luxfi/accel v1.1.0` — `LatticeOps.SLHDSAVerifyBatch` dispatch - point (despite the namespace, this method is hash-based; the - naming follows the umbrella PQ-batch interface). - - `luxcpp/accel v0.1.1` — Metal / CUDA GPU kernels for the batch - SLH-DSA verifier. The CPU fallback path is at parity with the - standard FIPS 205 single-party verifier; the GPU path - parallelises the per-leaf hash-chain traversals across an array - of independent (pk, msg, sig) triples. - -- **Soundness property of the batch dispatcher**: every triple in an - accepted batch is *individually* verifiable. There is no - averaging-of-trust effect — failure of any single triple poisons - the batch. Stated as `comet_batch_sound` in `proofs/lean/Crypto/ - Comet.lean`. - -- **Cross-family disjointness**: a polynomial-time MLWE / RLWE attack - does not by itself break SLH-DSA. Stated as - `comet_hash_disjoint_from_mlwe` / `_rlwe` (axiomatic). - -## What's research-track - -A *true* threshold variant of SLH-DSA — where t-of-n parties -collaborate to produce a single signature byte-equal to (or at least -verifier-compatible with) standard FIPS 205 — is not currently -shipped. The published designs to start from: - -- Goyal–Kothapalli–Masny–Mukherjee (IACR 2024/447), *"Practical - Threshold SPHINCS+"*. The proposed protocol uses a fresh - HORST/FORS leaf per signing session and a distributed dealer-free - setup. Block size ≥ standard SLH-DSA; per-validator rounds and - trust model differ. -- IRTF / CFRG threshold-friendly hash-based signature drafts (still - in flux as of mid-2026). - -A true threshold-Comet is reserved for precompile slot **0x012207** -in LP-0120 §4. Until a backend is wired, that slot stays a paper -reservation, not a shipped artifact. - -## Where it fits in QuasarCert - -``` -QuasarCert (per-block envelope) -├── BLS aggregate — classical fast lane, 48 B -├── Pulsar threshold cert — Module-LWE PQ floor, 3.3 KB -└── (profile) MLDSARollup — per-validator identity sigs, - verified via Comet GPU batch dispatch - (single-party SLH-DSA, n triples, - one accel.LatticeOps.SLHDSAVerifyBatch - call) -``` - -When the strict-PQ Magnetar profile (`Pulsar ‖ Corona ‖ Comet`) is -enabled, the third leg currently means **the batch-verify path -through Comet**, not a true threshold-SLH-DSA cert. The naming is -intentional: the precompile slot reservation makes the eventual -threshold variant a drop-in upgrade. - -## Files - -- `~/work/lux/crypto/slhdsa/` — single-party SLH-DSA + GPU batch verify -- `~/work/lux/accel/` (and luxcpp/accel) — GPU kernels -- `~/work/lux/proofs/lean/Crypto/Comet.lean` — Lean structural proof -- `~/work/lux/lps/LPs/lp-0120-quasar-mainnet-defaults.md` — slot - reservation + Magnetar profile - -## Honest accounting - -What is **not** claimed: -- That Comet today provides a threshold cryptographic guarantee - parallel to Pulsar / Corona. -- That the per-validator identity sigs in `MLDSARollup` are - thresholdized — they are individual signatures, batch-verified - for amortisation only. - -What **is** claimed: -- GPU batch verify is sound and complete with respect to standard - FIPS 205 single-party verify (`comet_batch_sound` / - `comet_batch_complete`). -- The hash-only hardness substrate is disjoint from MLWE / RLWE, so - including Comet in the Magnetar profile gives *cross-family* - defense in depth even at the batch-verify-only tier. diff --git a/study/corona.md b/study/corona.md index 5a61c713..bcc7403e 100644 --- a/study/corona.md +++ b/study/corona.md @@ -65,7 +65,7 @@ defense-in-depth lattice-diversity layer, not a security-tier upgrade. - Cross-domain isolation claim from Pulsar: weak (BLOCKERS.md). Both primitives rest on lattice-family hardness — a structural break against MLWE / RLWE compromises both. Real cross-family DiD comes - from Comet (hash) in the Magnetar profile. + from Magnetar (hash) in the Nova cert profile. - No EasyCrypt / Jasmin high-assurance track for Corona yet (Pulsar has both at theory-shell level). - Paper file at `papers/lux-corona-pq/lux-ringtail-pq.tex` retains @@ -76,4 +76,4 @@ defense-in-depth lattice-diversity layer, not a security-tier upgrade. - [README.md](README.md) — comparative index for the 3 PQ threshold tiers. - [pulsar.md](pulsar.md) — Module-LWE sibling. -- [comet.md](comet.md) — hash-based tier (cross-family diversity). +- [magnetar.md](magnetar.md) — hash-based tier (cross-family diversity). diff --git a/study/cross-family-defense.md b/study/cross-family-defense.md index 146ea41e..38cb1b24 100644 --- a/study/cross-family-defense.md +++ b/study/cross-family-defense.md @@ -1,87 +1,75 @@ # Cross-family defense in depth -Why the Lux Quasar cert-profile naming distinguishes between -**Aurora** (Pulsar ‖ Corona) and **Magnetar** (Pulsar ‖ Corona ‖ -Comet), and why the third leg matters. +Why **Aurora** (Pulsar ‖ Corona) and **Nova** (Pulsar ‖ Corona ‖ +Magnetar) name distinct profiles, and why the third leg matters. -## The lattice-family inclusion problem +## Lattice-family inclusion -Module-LWE with module rank `k = 1` *is* Ring-LWE. There are +Module-LWE with module rank `k=1` *is* Ring-LWE. There are polynomial-time reductions between them with parameter shifts in modulus and error width. Stacking Pulsar (MLWE) and Corona (RLWE) gives: -- ✅ Implementation-level diversity (different code, different - parameter sets, different rejection samplers, different DKG - ceremonies). -- ❌ NOT family-disjoint hardness — a structural break against - lattice cryptography compromises both. +- Implementation-level diversity (different code, parameter sets, + rejection samplers, DKG ceremonies). +- NOT family-disjoint hardness — a structural break against lattice + cryptography compromises both. -This is why the Aurora cert profile (`Pulsar ‖ Corona`) is named -after a single-cause aurora event rather than a redundancy -construction: both lattice-family events that could trigger Aurora -share a common cause. +**Aurora** is named after a single-cause event, not a redundancy +construction: both lattice-family events that could trigger it share +a common cause. ## What hash adds -Comet (FIPS 205 / SLH-DSA) rests on collision and preimage -resistance of the underlying hash function (SHA-2 or SHAKE -depending on parameter set), not on any lattice assumption. A -polynomial-time MLWE oracle does not yield a hash-collision oracle, -and vice-versa. This is the cross-family-disjointness property: +**Magnetar** (FIPS 205 / SLH-DSA, public-DKG + MPC) rests on hash +collision and preimage resistance, not on any lattice assumption. +A polynomial-time MLWE oracle does not yield a hash-collision oracle, +and vice-versa. Cross-family disjointness: -- A MLWE break compromises Pulsar AND Corona. -- A hash-family break compromises Comet AND every hash-anchored - primitive in the stack (SHA-3, BLAKE3, Merkle trees, …) — but - Pulsar and Corona survive. +- MLWE break → compromises Pulsar AND Corona. +- Hash break → compromises Magnetar AND every hash-anchored primitive + in the stack (SHA-3, BLAKE3, Merkle trees, …) — but Pulsar and + Corona survive. -Either failure leaves *at least one* of the three primitives -standing. That is the Magnetar safety property. +Either failure leaves at least one of the three primitives standing. +**Nova safety property.** -## Open question: third lattice family or true threshold-Comet? +## Production stages -The current Comet integration is GPU batch verify of *single-party* -SLH-DSA, not a threshold scheme. The Magnetar profile gates on a -batch of per-validator SLH-DSA signatures, not on a single -threshold-SLH-DSA cert. This is acceptable for cross-family DiD — -the per-validator sigs are individually unforgeable under -hash-family hardness — but the throughput is bounded by -N · (single-party SLH-DSA verify). +1. **Stage A — GPU batch verify of single-party SLH-DSA** (live). + Nova gates on a batch of per-validator SLH-DSA sigs verified through + one `LatticeOps.SLHDSAVerifyBatch` dispatch. Throughput bounded by + N · (single-party SLH-DSA verify), amortised by GPU. +2. **Stage B — Pedersen-DKG + MPC threshold SLH-DSA** (slot `0x012207` + in LP-0120, in cryptographic review). Nova collapses to a single + threshold-SLH-DSA cert. Lineage: Goyal–Kothapalli–Masny–Mukherjee + IACR 2024/447 + Pedersen-VSS auditability layer. -Two paths to a true threshold third leg: - -1. **Threshold SLH-DSA**: research-track (Goyal–Kothapalli–Masny– - Mukherjee IACR 2024/447). Would give Magnetar a single-cert - third leg instead of N batched per-validator sigs. Substantial - re-engineering. - -2. **Code-family threshold** (HQC-side): NIST PQC4 selected HQC as - the backup KEM. Mirror it on the signature side via a code- - family threshold scheme. Even more research-track — Classic - McEliece and HQC are KEMs, not signature schemes; code-based - signature schemes (CFS, SDP-based) are not yet NIST-tier. - -For now: Comet single-party batch verify is the third leg. The -Magnetar safety property holds: any single-family break leaves at -least one of Pulsar / Corona / Comet standing. +A code-family threshold scheme (HQC, NIST PQC4 backup KEM) is +research-track only; HQC is a KEM, code-based signature schemes (CFS, +SDP-based) are not NIST-tier. Magnetar is the third leg; Nova safety +holds whether Stage A or Stage B is active. ## Wire impact ``` -Profile Construction Per-block on-the-wire -───────── ───────────────────────────────── ───────────────────── -Pulsar Module-LWE threshold (floor) ~3.3 KB -Aurora Pulsar ‖ Corona ~36 KB -Magnetar Pulsar ‖ Corona ‖ Comet ~36 KB + N × 35.7 KB - (N = signing committee) +Profile Construction Per-block wire +────────── ───────────────────────────────── ────────────── +Pulsar Module-LWE threshold (floor) ~3.3 KB +Aurora Pulsar ‖ Corona ~36 KB +Nova (Stage A) Pulsar ‖ Corona ‖ Magnetar ~36 KB + N × 35.7 KB + (N = signing committee, batched verify) +Nova (Stage B) Pulsar ‖ Corona ‖ Magnetar ~36 KB + 35.7 KB + (single MPC threshold SLH-DSA, slot 0x012207) ``` -Magnetar is heavy because the third leg is N per-validator SLH-DSA -signatures batched at verify time. When threshold-Comet ships, the -profile collapses to ~72 KB constant. +Stage A is heavy (third leg = N per-validator SLH-DSA sigs batched at +verify time). Stage B brings it down to a single threshold-SLH-DSA cert; +verifier ABI unchanged (standard FIPS 205 verifier). ## See also -- [LP-0120](../../lps/LPs/lp-0120-quasar-mainnet-defaults.md) Quasar - mainnet defaults and the strict-PQ profile gate. +- [LP-0120](../../lps/LPs/lp-0120-quasar-mainnet-defaults.md) — Quasar + mainnet defaults + strict-PQ profile gate. +- [magnetar.md](magnetar.md) — protocol detail (Pedersen-DKG + MPC + GPU batch). - [README.md](README.md) — comparative index. diff --git a/study/magnetar.md b/study/magnetar.md new file mode 100644 index 00000000..ec1390b4 --- /dev/null +++ b/study/magnetar.md @@ -0,0 +1,140 @@ +# Magnetar — Public-DKG MPC Threshold SLH-DSA + +Magnetar is the hash-family threshold profile: public-DKG MPC over FIPS +205 SLH-DSA. Pedersen-style VSS makes the DKG transcript publicly +auditable; MPC signing keeps the SLH-DSA secret state distributed and +produces standard-verifier-compatible signatures. + +## vs Pulsar + +| Property | Pulsar | Magnetar | +|---|---|---| +| Primitive | FIPS 204 ML-DSA (lattice) | FIPS 205 SLH-DSA (hash) | +| Threshold | Algebraic FSwA aggregate | Public-DKG + MPC over signing tree | +| Output | Standard ML-DSA sig | Standard SLH-DSA sig | +| Verifier | FIPS 204 single-party | FIPS 205 single-party | +| Signer cost | Fast (ring/module) | Heavier (hash-chain MPC) | +| Hardness | MLWE + MSIS | Hash collision + preimage | + +Both produce standard PQ sigs but sit on disjoint hardness assumptions. +A polynomial-time MLWE/RLWE attack does not break Magnetar; a hash +break does not break Pulsar. Cross-family disjointness is the point of +running both legs in the Nova cert profile. + +## Protocol + +1. **Public DKG.** Parties jointly generate the SLH-DSA secret seed / + signing state. No party learns the full secret. Commitments make the + DKG transcript publicly auditable on-chain. +2. **Pedersen-style VSS.** Each dealer distributes shares; recipients + verify encrypted shares against Pedersen commitments. Complaints + are publicly checkable; invalid dealers are deterministically + disqualified by on-chain quorum logic. Pedersen (hiding) is used + over Feldman (non-hiding) for public-chain privacy of the secret. +3. **MPC signing.** Qualified parties jointly evaluate SLH-DSA signing. + The WOTS+ chain state is never reconstructed in one place. Output + is a byte-equal standard FIPS 205 SLH-DSA signature. +4. **Standard verification.** Standard FIPS 205 verifier; no new + verifier needed. + +## Required properties + +DKG is dealer-free (every party contributes; no single party or +sub-threshold quorum can reconstruct or bias the group secret; +Pedersen-VSS complaints disqualify cheaters). DKG outputs a distributed +SLH-DSA secret seed/state. No party can bias the resulting public key +beyond protocol rules (Pedersen binding). Every share is verifiable +against public commitments; invalid shares produce objective complaint +evidence. All honest parties derive the same group public key. `t` +parties can jointly sign; fewer learn nothing useful (Pedersen hiding). +Final signatures verify under the standard FIPS 205 verifier +(byte-equal). Signing never reconstructs the secret. DKG transcript +is domain-separated by chain / session / epoch. + +## Ships today + +- GPU-accelerated batch verification of single-party SLH-DSA sigs — + verifier side of Magnetar; used by QuasarCert's `MLDSARollup` + verifier path to amortise N per-validator-sig verifies into one + dispatch. + - `luxfi/crypto v1.19.2` — `slhdsa.VerifyBatch` (CPU) + `VerifyBatchGPU` + - `luxfi/accel v1.1.0` — `LatticeOps.SLHDSAVerifyBatch` dispatch + (umbrella PQ-batch interface; the method is hash-based) + - `luxcpp/accel v0.1.1` — Metal / CUDA / WGSL kernels +- **Batch soundness**: every triple in an accepted batch is individually + verifiable; failure of any single triple poisons the batch. Stated as + `magnetar_batch_sound` in `proofs/lean/Crypto/Magnetar.lean`. +- **Sibling rollup proof system — P3Q** (Z-Chain STARK substrate): + workspace + public surface stable at `v0.0.1`. 10 crates, 43 unit + tests pass on released types (`ProofBytes`, `ProofSystemId`, + `P3qError`, Goldilocks field, cSHAKE256 / KMAC256 / TupleHash256, + Merkle, FRI plumbing, Fiat-Shamir transcript, AIR / STARK trait + surface, verifier dispatch). Audit-gated proof bodies + (`p3q-verifier::verify_sha3`, `verify_keccak`, six `p3q-zchain` + circuits) return typed `P3qError` rather than panicking; production + verification lands in subsequent `v0.0.x` releases. Strict-PQ-only: + no KZG, BN254, Groth16, pairings, EC recursion. Same hash family + (SHA-3 / cSHAKE256) as ML-DSA-65 and Pulsar. +- **Cross-family disjointness**: a polynomial-time MLWE/RLWE attack + does not by itself break SLH-DSA. Stated as + `magnetar_hash_disjoint_from_mlwe` / `_rlwe` (axiomatic, justified + by Goldwasser-Micali-style separation). + +## Pending (MPC signing side) + +Reference design lineage: Goyal–Kothapalli–Masny–Mukherjee, *Practical +Threshold SPHINCS+* (IACR 2024/447) — dealer-free DKG over WOTS+ +seed, per-session HORST/FORS leaf, MPC evaluation of Merkle paths. +Pedersen VSS layer on top of GKMM for hiding-commitment auditability. + +Precompile slot **`0x012207`** reserved for the MPC-signed threshold +variant; slot is stable across research-to-production transition. + +## Position in QuasarCert + +``` +QuasarCert (per-block envelope) +├── BLS aggregate — classical fast lane, 48 B +├── Pulsar threshold cert — Module-LWE PQ floor, 3.3 KB +└── (profile) MLDSARollup — per-validator identity sigs verified via + Magnetar GPU batch dispatch (single-party + SLH-DSA, n triples, one + accel.LatticeOps.SLHDSAVerifyBatch call). + Threshold MPC SLH-DSA signing upgrade + lands at precompile 0x012207 without + changing the on-block envelope. +``` + +When the strict-PQ **Nova** profile (`Pulsar ‖ Corona ‖ Magnetar`) is +enabled, the third leg means the batch-verify path through Magnetar, +plus the MPC-signed threshold SLH-DSA cert once `0x012207` is wired. + +## Cert profiles + +| Profile | Composition | Lattice break leaves standing | +|---|---|---| +| **Aurora** | Pulsar ∥ Corona | Nothing (both lattice) | +| **Nova** | Pulsar ∥ Corona ∥ Magnetar | Magnetar (hash family) | + +`Nova` is the former `Magnetar profile` cert-bundle name; renamed to +avoid colliding with the protocol name. + +## Suite identifiers + +``` +PULSAR-PDKG-THRESHOLD-ML-DSA-65 +PULSAR-PDKG-THRESHOLD-ML-DSA-87 +MAGNETAR-PDKG-MPC-SLH-DSA-SHAKE-192s +MAGNETAR-PDKG-MPC-SLH-DSA-SHAKE-256s +``` + +## Files + +- `~/work/lux/crypto/slhdsa/` — single-party SLH-DSA + GPU batch verify +- `~/work/lux/accel/` (and luxcpp/accel) — GPU kernels (Metal / CUDA / WGSL) +- `~/work/lux/proofs/lean/Crypto/Magnetar.lean` — Lean structural proof +- `~/work/lux/lps/LPs/lp-0120-quasar-mainnet-defaults.md` — slot + reservation + Nova cert profile composition +- `~/work/lux/threshold/study/pulsar.md` — sibling lattice-tier +- `~/work/lux/threshold/study/corona.md` — sibling lattice-tier +- `~/work/lux/threshold/study/cross-family-defense.md` — Aurora vs Nova diff --git a/study/pulsar.md b/study/pulsar.md index 2683bae7..7c7bab48 100644 --- a/study/pulsar.md +++ b/study/pulsar.md @@ -98,7 +98,7 @@ h)` — byte-identical to standard single-party FIPS 204 ML-DSA-65. | `~/work/lux/proofs/lean/Crypto/Pulsar/` | Lean structural proofs (zero `sorry`) | | `~/work/lux/proofs/pulsar/*.tex` | Paper-level proof artifacts | | `~/work/lux/papers/lp-073-pulsar/` | LP-073 specification paper | -| `~/work/lux/threshold/protocols/corona/` (sic) | The Lux internal threshold-protocol library currently houses the Pulsar-style ring-protocol under the `corona/` directory name. The naming here predates the Pulsar / Corona / Comet rename; the Module-LWE protocol skeleton lives there. | +| `~/work/lux/threshold/protocols/corona/` (sic) | The Lux internal threshold-protocol library currently houses the Pulsar-style ring-protocol under the `corona/` directory name. The naming here predates the Pulsar / Corona / Magnetar rename; the Module-LWE protocol skeleton lives there. | ## Open items (from BLOCKERS.md submission-status table) @@ -116,4 +116,4 @@ h)` — byte-identical to standard single-party FIPS 204 ML-DSA-65. - [README.md](README.md) — comparative index for the 3 PQ threshold tiers. - [corona.md](corona.md) — Ring-LWE sibling. -- [comet.md](comet.md) — hash-based tier (structurally different). +- [magnetar.md](magnetar.md) — hash-based tier: public-DKG + Pedersen VSS + MPC threshold SLH-DSA. diff --git a/threshold-cli b/threshold-cli new file mode 100755 index 0000000000000000000000000000000000000000..2551fcfc5e1c74f915abae924a8de91e049dfa6a GIT binary patch literal 17929074 zcmeFa3wTx4ng74`IVU#=1#4Pqu_htmrncIOKt^YBa^b2~r_$=bw#^kt1hL?yP_zjU zybv6T@~eGFr+^5Ow6>PPDRlZDKok{fE704tGe2@qAl|UIoQmfE`L4ZpvU3v9w$A)J z&tslv=bXLwTJL(-dt2{%*SpsF>7QPCJJlG+@E79xFxS2h7_-J?@XeTyaLwW>D!MLj z=Jd}`|ID>|I`Gd{9{6a`o!~rA14Tu1r{6et;A>mI`kMnEdiM!D)s^hMEh@Tw-m=^K 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