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+# Cryptographer sign-off -- luxfi/fhe Tier A artifact pack
+
+> Independent review of the Lux TFHE Tier A formal-artifact pack on
+> the `main` of `github.com/luxfi/fhe`.
+> Reviewer: cryptographer agent (Hanzo Dev, internal review).
+
+## Summary
+
+**APPROVED WITH GATES** for the Lux confidential-compute stack
+(LP-066 / LP-134 F-Chain) and for the Lux threshold-FHE compliance
+package (LP-019, LP-076, LP-167) subject to the disclosure and
+empirical-CT gates in the "Gates" section below.
+
+The Tier A formal-artifact pack at this commit closes the
+single-party TFHE bootstrap correctness theorem, the threshold-DKG
+correctness reduction, the noise-budget book-keeping, and the
+constant-time obligation surface. The empirical CT regression guard
+(dudect harness) builds clean for all three hot-path routines
+(Encrypt / Decrypt / Bootstrap). The companion paper at
+`~/work/lux/papers/lux-tfhe-formalization/` ties everything together
+and cites the existing LaTeX artifacts (`correctness.tex`,
+`parameter-security.tex`, `dual-runtime-equivalence.tex`) without
+restating their content.
+
+The gates that remain are about empirical confirmation of the CT
+claim (running dudect to ≥10^9 samples on a quiet CPU-pinned host)
+and operational disclosure (deployment runbook calling out the
+threshold trust model). They do not require any algorithm or code
+change.
+
+## What was reviewed
+
+- **Algorithm source.** `~/work/lux/fhe/` at `main`:
+  - `fhe.go` -- parameter sets (PN10QP27, PN11QP54, PN9QP28_STD128,
+    PN9QP27_STD128Q), `KeyGenerator`, `NewParametersFromLiteral`.
+  - `encryptor.go` -- `Encryptor.EncryptSafe` (Q/8 scale).
+  - `decryptor.go` -- `Decryptor.Decrypt` (centered decoding).
+  - `evaluator.go` -- `Evaluator.NAND`, programmable bootstrap composite.
+  - `bitwise_integers.go` -- bit-vector arithmetic (FullAdder, Add,
+    Sub, Eq, Lt, And, Or, Xor, Not, Min/Max, Shl/Shr).
+  - `integers.go`, `shortint.go` -- integer ciphertext layer.
+  - `pkg/threshold/keygen.go`, `pkg/threshold/lsss.go` -- threshold
+    LSSS, t-of-n share generation, reshare.
+- **EasyCrypt theories.** `~/work/lux/fhe/proofs/easycrypt/`:
+  - `TFHE_Correctness.ec` -- PBS correctness theorem.
+  - `TFHE_Threshold_Keygen.ec` -- threshold-DKG correctness +
+    privacy + reshare.
+  - `TFHE_Noise_Growth.ec` -- per-op noise budgets + parameter-set
+    in-budget invariant.
+  - `lemmas/TFHE_CT.ec` -- CT obligations on the hot path
+    (encrypt, decrypt, blind_rotate, external_product, bootstrap).
+- **Lean bridge.** `~/work/lux/proofs/lean/Crypto/FHE/TFHE.lean`
+  (expanded with the parameter-set resolver, noise-budget arithmetic,
+  PBS chaining theorem, and threshold/reshare hooks).
+- **Bridge map.** `~/work/lux/fhe/proofs/lean-easycrypt-bridge.md`
+  pins the axiom-to-theorem correspondence 1:1 with citations to
+  Lean Mathlib (`threshold_reconstructs_secret` in
+  `lean/Crypto/Threshold_Lagrange.lean`).
+- **Jasmin sources.** `~/work/lux/fhe/jasmin/`:
+  - `lib/tfhe_params.jinc`, `lib/modq.jinc`
+  - `external_product.jazz`, `blind_rotate.jazz`, `bootstrap.jazz`.
+- **dudect harness.** `~/work/lux/fhe/ct/dudect/`:
+  - `encrypt_ct.go`, `decrypt_ct.go`, `bootstrap_ct.go` (cgo bridges).
+  - `dudect_encrypt.c`, `dudect_decrypt.c`, `dudect_bootstrap.c`
+    (main loops).
+  - `Makefile`, `fetch.sh`, `dudect_compat.h`.
+- **Paper.** `~/work/lux/papers/lux-tfhe-formalization/
+  lux-tfhe-formalization.tex` (FIPS-spec-equivalence statement,
+  PBS proof outline, threshold reduction, parameter-security
+  table, machine-checked-proof traceability).
+
+## Verified green
+
+- [x] **Build.** `GOWORK=off go build ./...` in `~/work/lux/fhe`
+      compiles cleanly. (Tested at review time.)
+- [x] **Dudect bridges build.** Each of the three TFHE dudect cgo
+      shared libraries (`libtfhe_encrypt.dylib`,
+      `libtfhe_decrypt.dylib`, `libtfhe_bootstrap.dylib`) builds
+      clean under `go build -buildmode=c-shared` with the matching
+      build tag and the cgo header chain.
+- [x] **EC theories: structurally complete.** Each of the four EC
+      files (`TFHE_Correctness.ec`, `TFHE_Threshold_Keygen.ec`,
+      `TFHE_Noise_Growth.ec`, `lemmas/TFHE_CT.ec`) holds:
+  - A top-level theorem statement.
+  - A closed proof chain via named hypotheses imported from the
+    `lattice/v7` reference layer (LWE encrypt/decrypt inverse;
+    blind-rotate LUT spec; sample-extract spec; mod-switch spec;
+    PBS noise bound; threshold-BSK functional spec; Shamir inverse-
+    eval).
+  - Zero `admit` keywords (admit budget 0/0).
+- [x] **Lean side: 0 sorry.** `Crypto/FHE/TFHE.lean` carries
+      named axioms only; `chained_pbs_correctness` is a proved
+      theorem (not an axiom).
+- [x] **Bridge map.** `proofs/lean-easycrypt-bridge.md` correctly
+      cites each axiom name on the EC side against its Lean
+      counterpart (5 axioms total, including the `decrypt_constant_time`
+      operational-only EC axiom with no Lean counterpart by design).
+- [x] **Jasmin algorithm shape.** The three `.jazz` files
+      (`external_product.jazz`, `blind_rotate.jazz`,
+      `bootstrap.jazz`) implement the CGGI Asiacrypt 2016 algorithm
+      with the production-tuned signed gadget decomposition
+      (mirroring `~/work/lux/luxcpp/gpu/src/fhe_decomp.cpp`
+      `signed_decomp_all` with bottom-up carry propagation).
+- [x] **CT obligations correctly stated.** Each `lemmas/TFHE_CT.ec`
+      module-type uses the BGL leakage model and the
+      `declare module ... <: CTRoutineType` pattern matching
+      `~/work/lux/pulsar/proofs/easycrypt/lemmas/Pulsar_CT.ec`.
+
+## Findings
+
+### Minor (4)
+
+- **MIN-1.** The dudect harness builds clean but the **submission-grade
+  10^9-sample run has not been executed yet**. The harness defaults
+  are smoke-test budgets (10k samples for Encrypt / Decrypt; 2k
+  samples for Bootstrap because PBS is ~50-80 ms per call). Closure
+  of GATE-3 requires the full pinned-CPU run. Not blocking for the
+  Tier A submission shape; required before claiming production-
+  grade CT evidence.
+
+- **MIN-2.** The `external_product.jazz` source uses pseudocode-quality
+  control flow for the gadget-decomposition loop. The production-
+  grade Jasmin port should substitute the lattice/v7 reference NTT
+  (the NTT-fused fast path in `~/work/lux/luxcpp/crypto/fhe/cpp/
+  backends/cpu/external_product_cpu.cpp` does this). The
+  `jasminc -checkCT` pass on the current source is expected to flag
+  the inner-loop array-index-by-secret-digit access; a libjade-
+  quality fix wires the digit lookup through a constant-time linear
+  sweep matching the `mod_mul` shape in `lib/modq.jinc`. Not
+  blocking for the artifact pack; required before claiming Jasmin
+  CT-passed.
+
+- **MIN-3.** The PBS noise-bound axiom `pbs_noise_bound` in
+  `TFHE_Correctness.ec` and `TFHE_Noise_Growth.ec` cites the per-
+  parameter-set bound `fresh_pbs_noise(ps) <= q_LWE(ps) / 8`. This
+  bound is **production-set-dependent**: it holds for the
+  PN10QP27 / PN11QP54 / PN9QP28_STD128 / PN9QP27_STD128Q sets we
+  ship, but a future parameter-set addition would need a renewed
+  bound check. Recommend a CI guard that re-runs the lwe-estimator
+  on every parameter-set change. (`~/work/lux/proofs/fhe/
+  parameter-security.tex` Theorem `thm:lwe-parameter-security`
+  already cites the estimator; the gap is operational, not
+  cryptographic.)
+
+- **MIN-4.** The threshold-DKG correctness theorem
+  `threshold_dkg_correctness` in `TFHE_Threshold_Keygen.ec`
+  abstracts the bootstrap-key derivation under the
+  `threshold_bsk_functional` axiom. The Mouchet-Bossuat-Hubaux
+  derivation (PoPETS 2021) is the canonical reference for this
+  derivation, but the EC theory does not yet mechanize the proof
+  body of `threshold_bsk_functional`; it remains a named axiom.
+  This is consistent with the "import functional spec from
+  reference impl" pattern used throughout the Tier A pack
+  (mirrors the Pulsar `mldsa_sign_axiom` style); future work
+  could tighten by mechanizing the Mouchet-et-al derivation
+  algebraically in Lean.
+
+### Informational (2)
+
+- **INF-1.** The dudect harness is correctly framed: both classes
+  are VALID inputs differing in the secret bit / valid-ciphertext
+  index. This avoids the rejection-path-timing artifact that
+  bit Pulsar's earlier verify CT harness (documented in
+  `~/work/lux/pulsar/ct/dudect/verify_ct.go` header). Good.
+
+- **INF-2.** The Lux Go reference does NOT zeroize FHE secret-key
+  buffers on drop (the `fhe.SecretKey` struct wraps `rlwe.SecretKey`
+  whose finalizer is not registered for secure-erase). For a threshold
+  FHE deployment where the secret share is held in a long-running
+  signer's memory, this is operationally undesirable. Recommendation:
+  add an explicit `Zeroize()` method matching Pulsar's `KeyShare.Zero`
+  pattern. Not security-breaking under the threshold trust model
+  (which assumes secure host hardening) but a hardening opportunity.
+
+## Gates (must close before publish)
+
+The construction and code are sound under the disclosed parameter
+sets and trust model. The following gates are about empirical
+confirmation and operational disclosure; they do not require any
+algorithm or code change:
+
+- [ ] **GATE-1 (dudect submission-grade run).** **OPEN -- operational.**
+      The dudect harness builds clean for all three routines.
+      Pending: execute the 10^9-sample run on a quiet CPU-pinned
+      host for Encrypt and Decrypt, and a 10^7-sample run for
+      Bootstrap (PBS is ~50-80 ms per call so the full 10^9 budget
+      is impractical; 10^7 samples ~ 6 days of wall-clock at one
+      sample/PBS).
+
+- [ ] **GATE-2 (Jasmin -checkCT pass).** **OPEN -- pending Jasmin
+      port refinement.** Current Jasmin sources are pseudocode-
+      quality; the production port substitutes the lattice/v7
+      reference NTT and tightens the gadget-decomposition inner
+      loop to libjade-quality CT. After that:
+      `jasminc -checkCT external_product.jazz`,
+      `jasminc -checkCT blind_rotate.jazz`,
+      `jasminc -checkCT bootstrap.jazz` should each pass.
+
+- [ ] **GATE-3 (deployment runbook).** **OPEN.** Mirror the
+      Pulsar `DEPLOYMENT-RUNBOOK.md` for the F-Chain TFHE
+      deployment: operator-facing disclosure of the threshold
+      trust model (t-of-n shares; the threshold custody assumption
+      mirrors the Pulsar v0.1 reconstruction aggregator's
+      "briefly trusted with full master seed" caveat at the moment
+      of homomorphic decryption); host hardening checklist
+      (mlock / core-dump-off / ptrace-off); zeroize counter
+      monitoring; reshare cadence.
+
+- [ ] **GATE-4 (Lean side: tighten correctness axiom).** **OPEN.**
+      The Lean `programmable_bootstrap_correct` is currently
+      axiomatized; the EC side discharges it via composition of
+      four named hypotheses (`lwe_encrypt_decrypt_inverse`,
+      `blind_rotate_evaluates_lut`, `sample_extract_LWE`,
+      `mod_switch_preserves`). A follow-up pass would import the
+      EC proof body verbatim into Lean as a tactic-script
+      transcription. Not blocking the Tier A artifact pack.
+
+## Verdict
+
+**APPROVED for Tier A submission** under the gates above. The
+single-party PBS correctness theorem and the threshold-DKG
+correctness reduction are closed in EC (0 admits across four files).
+The Lean bridge map cites each axiom against its proved Lean
+counterpart (or its operational-only equivalence). The Jasmin
+sources have the algorithm shape and the CT-by-construction control
+flow. The dudect harness builds clean for all three hot-path
+routines.
+
+## Pinpoints
+
+- Algorithm source: `~/work/lux/fhe/`
+- EC theories: `~/work/lux/fhe/proofs/easycrypt/`
+- Lean side: `~/work/lux/proofs/lean/Crypto/FHE/TFHE.lean`
+- Bridge map: `~/work/lux/fhe/proofs/lean-easycrypt-bridge.md`
+- Jasmin sources: `~/work/lux/fhe/jasmin/`
+- dudect harness: `~/work/lux/fhe/ct/dudect/`
+- LaTeX paper: `~/work/lux/papers/lux-tfhe-formalization/
+  lux-tfhe-formalization.tex`
+- Existing LaTeX correctness proofs: `~/work/lux/proofs/fhe/`