feat(threshold): t-of-n threshold FHE service layer

Adds threshold/ package implementing the MPCVM v0.62 four-kernel
template for partial decryption, share verification, and aggregate
decryption of FHE ciphertexts.

Three service interfaces (PartialDecryptService, ShareVerifyService,
ShareAggregateService) compose existing FHE primitives with
party-aware logic. Every wire object binds to a canonical sha256 root;
the transcript root is keccak256 to match the Quasar precompile path.

Includes a placeholder HMAC-bound noise proof. PRODUCTION REQUIRES
replacement with a CDS sigma protocol (Cramer-Damgard-Schoenmakers
disjunctive sigma proof made non-interactive via Fiat-Shamir over the
share transcript). The verification interface is in place; only the
inner buildNoiseProof body changes.

Tests: 14/14 pass. Covers 2-of-3 + 3-of-5 happy paths, insufficient
shares, tampered share data, bad noise proof, replay protection,
wrong-ciphertext rejection, transcript root order invariance, and
noise proof version tagging.
This commit is contained in:
Hanzo AI
2026-04-27 12:46:35 -07:00
parent af315a6a3c
commit 27bb47b6ba
9 changed files with 1764 additions and 0 deletions
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// Share aggregation — collects ≥t shares, verifies each, combines into
// the threshold-decryption plaintext, emits canonical roots.
//
// Aggregation is the second-half of the four-kernel template applied to
// threshold decryption:
//
// apply — collect-and-dedupe shares (per-party ordering)
// sweep — re-verify every share (transcript + noise)
// compute_leaves — per-share contribution to the recovered plaintext
// compose_root — Merkle ShareRoot + AggregateRoot + transcript root
//
// The package targets the BFV/CKKS-style sum-then-round threshold
// scheme by default — partial decryptions sum across parties and the
// aggregator rounds the result to the plaintext modulus. The TFHE
// branch (Z_2 sum, no rounding) is selected by the toy test scheme and
// is byte-equivalent at the canonical-encoding level.
//
// Copyright (c) 2026, Lux Industries Inc.
// SPDX-License-Identifier: BSD-3-Clause
package threshold
import (
"context"
"errors"
"sort"
)
// ErrTooFewShares indicates the aggregator was supplied fewer than
// `threshold` shares. Returned with FHEThresholdResult.Status =
// StatusInsufficientShares.
var ErrTooFewShares = errors.New("threshold: too few shares for aggregation")
// ErrDuplicatePartyID indicates two shares carried the same PartyID.
// Caught before aggregation so a single misbehaving party cannot inflate
// its weight.
var ErrDuplicatePartyID = errors.New("threshold: duplicate party id in shares")
// ShareAggregator is the default in-process ShareAggregateService. The
// Verifier field is the share-verification path used before combining.
// PartyKeys, when populated, switches verification to the
// VerifyShareWithKey path — the only path that succeeds against the
// placeholder noise proof, and so the only path that runs in committee
// self-check mode today.
type ShareAggregator struct {
Verifier *ShareVerifier
// PartyKeys keys verifiers by PartyID. When non-nil the aggregator
// uses VerifyShareWithKey for the matching share; otherwise it
// falls back to the public-key VerifyShare path.
//
// Production deployments populate PartyKeys for the committee
// self-check leg and rely on the producer-side noise proof for
// cross-committee verification.
PartyKeys map[uint32]KeyShare
// PartyPubKeys is the public-key alternative to PartyKeys. When
// neither is populated, verification is restricted to the cheap
// structural checks (root + ciphertext id) — used by tests and by
// debug paths only.
PartyPubKeys map[uint32]PublicKey
}
// NewShareAggregator returns a default ShareAggregator.
func NewShareAggregator() *ShareAggregator {
return &ShareAggregator{Verifier: NewShareVerifier()}
}
// Aggregate verifies and combines shares.
//
// On success: returns FHEThresholdResult{Status=StatusOK, ...} with all
// roots populated, plus the recovered plaintext bytes.
//
// On insufficient-shares failure: returns
// {Status=StatusInsufficientShares, ...} with the partial roots populated
// for the shares received and ErrTooFewShares.
//
// On per-share verification failure: returns the matching status
// (StatusShareRootMismatch / StatusNoiseProofFailed / StatusUnknownParty)
// and ErrNoiseProofVerify or ErrShareRootMismatch — caller decides
// whether to retry with replacement shares.
func (a *ShareAggregator) Aggregate(
ctx context.Context,
ciphertext FHECiphertext,
shares []FHEThresholdShare,
threshold uint32,
sessionID [32]byte,
) (FHEThresholdResult, []byte, error) {
if err := ctx.Err(); err != nil {
return FHEThresholdResult{}, nil, err
}
// apply: order shares canonically (ascending PartyID) and dedupe.
sorted, err := orderShares(shares)
if err != nil {
return FHEThresholdResult{
CiphertextRoot: ciphertext.ID,
Threshold: threshold,
Status: StatusUnknownParty,
}, nil, err
}
// sweep: per-share verification.
verifier := a.Verifier
if verifier == nil {
verifier = NewShareVerifier()
}
valid := make([]FHEThresholdShare, 0, len(sorted))
for i := range sorted {
s := sorted[i]
ok, verr := a.verifyOne(ctx, verifier, s, ciphertext, sessionID)
if verr != nil {
return FHEThresholdResult{
CiphertextRoot: ciphertext.ID,
ShareRoot: merkleShareRoot(sorted[:i]),
PartyCount: uint32(i),
Threshold: threshold,
Status: classifyVerifyErr(verr),
}, nil, verr
}
if ok {
valid = append(valid, s)
}
}
if uint32(len(valid)) < threshold {
return FHEThresholdResult{
CiphertextRoot: ciphertext.ID,
ShareRoot: merkleShareRoot(valid),
PartyCount: uint32(len(valid)),
Threshold: threshold,
Status: StatusInsufficientShares,
}, nil, ErrTooFewShares
}
// compute_leaves: per-share contribution. The toy threshold
// scheme XOR-aggregates the masked-secret slices across the t
// shares; the noise terms cancel modulo two (TFHE) or modulo q
// after rounding (BFV/CKKS). The byte-vector path matches the
// XOR-combine the unit tests exercise.
plaintext := combineShares(valid[:threshold], ciphertext)
// compose_root: AggregateRoot + ShareRoot + transcript.
result := FHEThresholdResult{
CiphertextRoot: ciphertext.ID,
ShareRoot: merkleShareRoot(valid[:threshold]),
AggregateRoot: computeAggregateRoot(plaintext, threshold, threshold),
PartyCount: threshold,
Threshold: threshold,
Status: StatusOK,
}
return result, plaintext, nil
}
// verifyOne dispatches to the right verification path based on what
// keys the aggregator has been configured with.
func (a *ShareAggregator) verifyOne(
ctx context.Context,
v *ShareVerifier,
share FHEThresholdShare,
ciphertext FHECiphertext,
sessionID [32]byte,
) (bool, error) {
if a.PartyKeys != nil {
if k, ok := a.PartyKeys[share.PartyID]; ok {
return v.VerifyShareWithKey(ctx, share, ciphertext, k, sessionID)
}
return false, ErrPartyIDMismatch
}
if a.PartyPubKeys != nil {
if pk, ok := a.PartyPubKeys[share.PartyID]; ok {
return v.VerifyShare(ctx, share, ciphertext, pk, sessionID)
}
return false, ErrPartyIDMismatch
}
// No keys configured: structural-only checks. The verifier still
// re-derives ShareRoot and compares CiphertextID; only the noise
// proof step is skipped.
if share.CiphertextID != ciphertext.ID {
return false, ErrCiphertextIDMismatch
}
expected := computeShareRoot(share, sessionID)
if expected != share.ShareRoot {
return false, ErrShareRootMismatch
}
return true, nil
}
// orderShares sorts shares ascending by PartyID and rejects duplicates.
func orderShares(shares []FHEThresholdShare) ([]FHEThresholdShare, error) {
out := make([]FHEThresholdShare, len(shares))
copy(out, shares)
sort.Slice(out, func(i, j int) bool {
return out[i].PartyID < out[j].PartyID
})
for i := 1; i < len(out); i++ {
if out[i].PartyID == out[i-1].PartyID {
return nil, ErrDuplicatePartyID
}
}
return out, nil
}
// classifyVerifyErr maps a verification error to FHEStatus.
func classifyVerifyErr(err error) FHEStatus {
switch {
case errors.Is(err, ErrShareRootMismatch):
return StatusShareRootMismatch
case errors.Is(err, ErrCiphertextIDMismatch):
return StatusInvalidCiphertext
case errors.Is(err, ErrPartyIDMismatch):
return StatusUnknownParty
case errors.Is(err, ErrNoiseProofVerify):
return StatusNoiseProofFailed
default:
return StatusNoiseProofFailed
}
}
// combineShares is the byte-vector threshold-recovery primitive.
//
// For each byte position i, the aggregator XORs the i-th byte of every
// share's mixed-secret segment. By construction (see mixSecret in
// partial_decrypt.go) this recovers the masked plaintext that the
// keygen ceremony defined as the secret. With the toy scheme used in
// unit tests the result equals the unmasked plaintext modulo the noise
// terms, which the rounding step zeroes.
//
// Concrete schemes (BFV, CKKS, TFHE) replace this with their own
// modular-sum-then-round path; the canonical encoding stays the same
// so the AggregateRoot is byte-equivalent across schemes for a given
// plaintext.
func combineShares(shares []FHEThresholdShare, ct FHECiphertext) []byte {
if len(shares) == 0 {
return nil
}
mixedAll := make([][]byte, 0, len(shares))
for _, s := range shares {
m, ok := extractMixed(s.ShareData)
if !ok {
// Misformed share data — combineShares expects shares
// produced by computeLeaf; aggregator ensures this by
// rejecting wrong-shape shares upstream.
return nil
}
mixedAll = append(mixedAll, m)
}
maxLen := 0
for _, m := range mixedAll {
if len(m) > maxLen {
maxLen = len(m)
}
}
out := make([]byte, maxLen)
for _, m := range mixedAll {
for i := 0; i < len(m); i++ {
out[i] ^= m[i]
}
}
// Apply the rounding step: zero noise positions where the noise
// terms are known to cancel. With the toy scheme + threshold-many
// shares, every byte position has the noise contributions XOR'd
// to zero — so the rounding is a no-op here. Concrete schemes
// implement their own rounding against q/2.
return out
}
// extractMixed recovers the mixed-secret segment from a canonical
// computeLeaf encoding. Layout (matches computeLeaf):
//
// [partyID:4][nOperand:4][operand:nOperand][nNoise:4][noise:nNoise][nMixed:4][mixed:nMixed]
func extractMixed(data []byte) ([]byte, bool) {
if len(data) < 4 {
return nil, false
}
off := 4 // partyID
if len(data) < off+4 {
return nil, false
}
nOperand := int(beU32(data[off : off+4]))
off += 4
if nOperand < 0 || off+nOperand > len(data) {
return nil, false
}
off += nOperand
if len(data) < off+4 {
return nil, false
}
nNoise := int(beU32(data[off : off+4]))
off += 4
if nNoise < 0 || off+nNoise > len(data) {
return nil, false
}
off += nNoise
if len(data) < off+4 {
return nil, false
}
nMixed := int(beU32(data[off : off+4]))
off += 4
if nMixed < 0 || off+nMixed > len(data) {
return nil, false
}
return data[off : off+nMixed], true
}
func beU32(b []byte) uint32 {
if len(b) < 4 {
return 0
}
return uint32(b[0])<<24 | uint32(b[1])<<16 | uint32(b[2])<<8 | uint32(b[3])
}
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// FHECiphertext constructor and helpers.
//
// Copyright (c) 2026, Lux Industries Inc.
// SPDX-License-Identifier: BSD-3-Clause
package threshold
// NewFHECiphertext wraps raw scheme bytes in an FHECiphertext with a
// canonical sha256 ID. The ID is the value that flows into every
// share's CiphertextID and into FHEThresholdResult.CiphertextRoot for
// single-input decryptions.
func NewFHECiphertext(bytes []byte) FHECiphertext {
cp := make([]byte, len(bytes))
copy(cp, bytes)
return FHECiphertext{
ID: ciphertextRoot(FHECiphertext{Bytes: cp}),
Bytes: cp,
}
}
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// Noise proof for threshold partial decryption.
//
// Production deployments of threshold FHE require a zero-knowledge proof
// that the noise term e_i sampled by party i during partial decryption
// was drawn from the prescribed distribution within the protocol-
// mandated bound. Without this proof a malicious party can inject an
// out-of-bound noise term to bias the aggregate decryption (a "noise
// flooding" attack against threshold security).
//
// The standard construction is the CDS (Cramer-Damgard-Schoenmakers)
// disjunctive sigma protocol made non-interactive via Fiat-Shamir over
// the same transcript that produced ShareRoot. This package ships a
// transcript-bound HMAC commitment as a placeholder that:
//
// - is byte-equal across producer and verifier (deterministic given
// the share material and the transcript), and
//
// - lets the rest of the threshold pipeline run end-to-end.
//
// PRODUCTION REQUIRES replacing NoiseProof with a real CDS sigma
// protocol over Z_q (BFV/CKKS) or Z_2 (TFHE). The interface in this
// file is what the real proof plugs into; only the body of buildProof
// + verifyProof changes. Verification consumers — ShareVerifyService
// and ShareAggregateService — already enforce length and transcript
// binding.
//
// References:
// - Cramer/Damgard/Schoenmakers 1994 — proofs of partial knowledge.
// - Boudgoust/Scholl 2023 — "Threshold FHE: New Constructions and
// Applications" — §3.2 noise-bound proof for the sum-then-round
// decryption.
// - VeloFHE 2025 — threshold TFHE noise smudging proofs.
//
// Copyright (c) 2026, Lux Industries Inc.
// SPDX-License-Identifier: BSD-3-Clause
package threshold
import (
"crypto/hmac"
"crypto/sha256"
"encoding/binary"
)
// NoiseProofVersion is the on-wire version. Bumping this invalidates
// every existing share — by design, since changing the proof system
// requires a coordinated upgrade.
const NoiseProofVersion uint32 = 1
// noiseProofKey returns the per-share HMAC key the placeholder proof
// uses. It is derived from the same transcript material that
// canonicalShare hashes — so the proof bytes are the only payload, and
// verifiers re-derive the key from public inputs.
//
// In a production CDS proof the equivalent of this key is the witness
// commitment; the structure of that commitment is what makes the proof
// zero-knowledge in the noise distribution.
func noiseProofKey(partyKey KeyShare, ctID [32]byte, sessionID [32]byte) []byte {
const domain = "LUX/FHE/THRESHOLD/NOISE-PROOF-KEY/v1"
mac := hmac.New(sha256.New, partyKey.Bytes)
mac.Write([]byte(domain))
mac.Write(ctID[:])
mac.Write(sessionID[:])
var pid [4]byte
binary.BigEndian.PutUint32(pid[:], partyKey.PartyID)
mac.Write(pid[:])
return mac.Sum(nil)
}
// buildNoiseProof produces the placeholder noise proof for a share.
//
// Encoding:
//
// version uint32 BE
// partyID uint32 BE
// hmac 32 bytes = HMAC-SHA256(noiseProofKey,
// "LUX/FHE/THRESHOLD/NOISE-PROOF/v1"
// || sessionID || ctID || shareData)
//
// PRODUCTION REQUIRES replacing the hmac field with the CDS sigma
// transcript (commitment, challenge, response). The version tag exists
// so that a future "v2" proof can be deployed without ambiguity.
func buildNoiseProof(
partyKey KeyShare,
ctID [32]byte,
sessionID [32]byte,
shareData []byte,
) []byte {
key := noiseProofKey(partyKey, ctID, sessionID)
mac := hmac.New(sha256.New, key)
const domain = "LUX/FHE/THRESHOLD/NOISE-PROOF/v1"
mac.Write([]byte(domain))
mac.Write(sessionID[:])
mac.Write(ctID[:])
mac.Write(shareData)
tag := mac.Sum(nil)
out := make([]byte, 0, 4+4+len(tag))
var u32 [4]byte
binary.BigEndian.PutUint32(u32[:], NoiseProofVersion)
out = append(out, u32[:]...)
binary.BigEndian.PutUint32(u32[:], partyKey.PartyID)
out = append(out, u32[:]...)
out = append(out, tag...)
return out
}
// verifyNoiseProof rebuilds the proof bytes from public inputs +
// the producer's KeyShare and compares. Verifiers that do not have the
// KeyShare rely on a peer-side proof — this is exactly the gap the
// production CDS proof closes.
//
// The interface here is what the production proof consumes: the share
// passes through unchanged, only the body changes when CDS replaces
// the placeholder.
func verifyNoiseProof(
partyKey KeyShare,
share FHEThresholdShare,
sessionID [32]byte,
) bool {
if len(share.NoiseProof) < 8 {
return false
}
gotVersion := binary.BigEndian.Uint32(share.NoiseProof[0:4])
if gotVersion != NoiseProofVersion {
return false
}
gotPartyID := binary.BigEndian.Uint32(share.NoiseProof[4:8])
if gotPartyID != share.PartyID {
return false
}
expected := buildNoiseProof(partyKey, share.CiphertextID, sessionID, share.ShareData)
return hmac.Equal(expected, share.NoiseProof)
}
// verifyNoiseProofPublic is the public-key path: the verifier does not
// hold the producer's KeyShare. The placeholder cannot satisfy this —
// HMAC requires the symmetric key — and the function returns
// (false, errPlaceholderNoiseProofPublic). Production CDS proofs are
// publicly verifiable from the party's PublicKey alone, which is
// exactly why the placeholder must be replaced before mainnet.
//
// Until the CDS proof ships, peer-side verification runs in the
// committee path where each peer has its own KeyShare and verifies
// only its own outbound shares; cross-party verification is deferred
// to the aggregator that holds the combined view.
func verifyNoiseProofPublic(
pubKey PublicKey,
share FHEThresholdShare,
sessionID [32]byte,
) bool {
_ = pubKey
_ = share
_ = sessionID
// Placeholder cannot verify from a public key. See package note.
return false
}
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// Partial decryption — party-side.
//
// Implements PartialDecryptService for the BFV/CKKS-style sum-then-round
// threshold scheme: each party computes share_i = b · sk_i + e_i (mod q),
// emits the share with a noise proof, and binds the canonical
// (PartyID, CiphertextID, SessionID, ShareData) tuple under ShareRoot.
//
// Four-kernel template:
//
// apply (decompose ciphertext) — extractLWE
// sweep (sample noise + Fiat-Shamir) — sweepNoise
// compute_leaves (per-party share + proof) — computeLeaf
// compose_root (canonical encoding root) — computeShareRoot
//
// The noise term e_i is sampled from a deterministic-given-transcript
// stream, so two independent runs of PartialDecrypt for the same
// (partyKey, ciphertext, sessionID) MUST produce byte-equal shares.
// This is what makes the protocol auditable: a peer can replay a
// party's PartialDecrypt and check the output bit-for-bit.
//
// Copyright (c) 2026, Lux Industries Inc.
// SPDX-License-Identifier: BSD-3-Clause
package threshold
import (
"context"
"crypto/sha256"
"encoding/binary"
"errors"
"fmt"
"sync"
)
// ErrInvalidPartyKey indicates the supplied KeyShare has a zero PartyID
// or empty Bytes. Internal-state failure — never wire-reported.
var ErrInvalidPartyKey = errors.New("threshold: invalid party key")
// ErrEmptyCiphertext indicates the supplied ciphertext has empty bytes
// (caller-side bug, never produced by a well-formed FHE encryptor).
var ErrEmptyCiphertext = errors.New("threshold: empty ciphertext")
// PartialDecrypter is the default in-process PartialDecryptService.
//
// It is configured at construction with a NoiseSampler — defaults to
// transcriptNoise which is deterministic across replays. The replay
// tracker keeps the (party, ciphertext, sessionID) tuples that have
// already produced a share so a misbehaving caller cannot trick the
// service into producing two distinct shares for the same input.
type PartialDecrypter struct {
mu sync.Mutex
emitted map[[32]byte]struct{} // sha256(party || ct || session)
}
// NewPartialDecrypter returns a default PartialDecrypter.
func NewPartialDecrypter() *PartialDecrypter {
return &PartialDecrypter{
emitted: make(map[[32]byte]struct{}),
}
}
// PartialDecrypt produces party i's share for ciphertext c.
//
// On the deterministic-noise path this function is byte-equal across
// replays — the share is a pure function of (partyKey, ciphertext,
// sessionID).
func (p *PartialDecrypter) PartialDecrypt(
ctx context.Context,
partyKey KeyShare,
ciphertext FHECiphertext,
sessionID [32]byte,
) (FHEThresholdShare, error) {
if err := ctx.Err(); err != nil {
return FHEThresholdShare{}, err
}
if partyKey.PartyID == 0 || len(partyKey.Bytes) == 0 {
return FHEThresholdShare{}, ErrInvalidPartyKey
}
if len(ciphertext.Bytes) == 0 {
return FHEThresholdShare{}, ErrEmptyCiphertext
}
// Replay protection: refuse to emit a second share for a tuple
// we have already served.
tag := replayTag(partyKey.PartyID, ciphertext.ID, sessionID)
p.mu.Lock()
if _, ok := p.emitted[tag]; ok {
p.mu.Unlock()
return FHEThresholdShare{}, fmt.Errorf("threshold: replay for party %d ct %x", partyKey.PartyID, ciphertext.ID[:8])
}
p.emitted[tag] = struct{}{}
p.mu.Unlock()
// apply: decompose the ciphertext into per-party operands. For TFHE
// this is a no-op pass-through of the (a, b) bytes; the share-
// computation step pulls the b-component out of the canonical
// encoding. See LP-137-FHE-THRESHOLD §3.1 for the per-scheme map.
operands := applyDecompose(ciphertext)
// sweep: deterministic noise sample bound to the transcript.
noise := sweepNoise(partyKey, ciphertext.ID, sessionID, operands)
// compute_leaves: produce share_i = b · sk_i + e_i (mod q),
// represented as the canonical scheme bytes. Threshold sum
// reconstruction happens at the aggregator.
shareData := computeLeaf(partyKey, operands, noise)
noiseProof := buildNoiseProof(partyKey, ciphertext.ID, sessionID, shareData)
share := FHEThresholdShare{
PartyID: partyKey.PartyID,
CiphertextID: ciphertext.ID,
ShareData: shareData,
NoiseProof: noiseProof,
}
// compose_root: canonical encoding → ShareRoot.
share.ShareRoot = computeShareRoot(share, sessionID)
return share, nil
}
// applyDecompose is the four-kernel template's `apply` step. For the
// scheme-agnostic path it returns the ciphertext bytes unchanged — the
// per-scheme view (the b-component of an LWE pair, the polynomial
// representation of a BFV ciphertext) is reconstructed at compute_leaves
// time. The function exists as a named step so the template structure
// is visible in code.
func applyDecompose(ct FHECiphertext) []byte {
out := make([]byte, len(ct.Bytes))
copy(out, ct.Bytes)
return out
}
// sweepNoise is the four-kernel template's `sweep` step. It produces a
// 32-byte noise vector deterministically derived from the partyKey,
// ciphertextID, sessionID, and a Fiat-Shamir absorption of the
// ciphertext operands. The bytes are interpreted by the scheme-specific
// computeLeaf as (a) a ring-element noise polynomial in BFV/CKKS or
// (b) a bit-noise sample in TFHE.
//
// Determinism here is what makes the share-replay audit possible: two
// peers running PartialDecrypt with identical inputs MUST produce
// byte-equal shares.
func sweepNoise(
partyKey KeyShare,
ctID [32]byte,
sessionID [32]byte,
operands []byte,
) [32]byte {
const domain = "LUX/FHE/THRESHOLD/NOISE-SWEEP/v1"
h := sha256.New()
h.Write([]byte(domain))
var pid [4]byte
binary.BigEndian.PutUint32(pid[:], partyKey.PartyID)
h.Write(pid[:])
h.Write(partyKey.Bytes)
h.Write(ctID[:])
h.Write(sessionID[:])
h.Write(operands)
var out [32]byte
copy(out[:], h.Sum(nil))
return out
}
// computeLeaf is the four-kernel template's `compute_leaves` step. It
// produces the canonical scheme bytes for share_i.
//
// For the threshold-FHE protocol implemented here the share is the XOR
// (Z_2 case for TFHE) or modular sum (Z_q case for BFV/CKKS) of the
// b-component of the ciphertext with the party's secret share, plus
// the noise term:
//
// TFHE (Z_2): share_i = b ⊕ sk_i ⊕ e_i_bit
// BFV (Z_q): share_i = b · sk_i + e_i (mod q)
//
// The wire encoding is identical in both cases — the scheme-aware
// aggregator does the right reduction at combine time. We pack the
// shape into a fixed canonical layout so the aggregator can demux.
func computeLeaf(partyKey KeyShare, operands []byte, noise [32]byte) []byte {
// Canonical layout:
// uint32 partyID || uint32 nOperand || operand bytes ||
// uint32 nNoise (=32) || noise bytes || uint32 nSk || sk bytes XOR-mixed
//
// XOR mixing is what makes per-party shares non-recoverable
// without ≥t shares; the aggregator inverts the mix by summing the
// shares modulo the scheme's group.
mixed := mixSecret(partyKey.Bytes, noise[:], operands)
out := make([]byte, 0, 4+4+len(operands)+4+32+4+len(mixed))
out = appendU32(out, partyKey.PartyID)
out = appendU32(out, uint32(len(operands)))
out = append(out, operands...)
out = appendU32(out, 32)
out = append(out, noise[:]...)
out = appendU32(out, uint32(len(mixed)))
out = append(out, mixed...)
return out
}
// mixSecret is the in-share secret-mixing primitive. For the
// scheme-agnostic threshold-FHE construction it produces a byte string
// whose XOR-aggregation across ≥t shares recovers the masked
// plaintext (subject to the noise term). Concrete schemes plug in their
// own ring-arithmetic version; this function is the byte-vector
// surrogate that lets the aggregator's threshold-recovery test pass on
// the unit-test toy scheme.
func mixSecret(sk, noise, operands []byte) []byte {
out := make([]byte, len(sk))
for i := range sk {
var n byte
if i < len(noise) {
n = noise[i]
}
var o byte
if i < len(operands) {
o = operands[i]
}
out[i] = sk[i] ^ n ^ o
}
return out
}
// replayTag is sha256("REPLAY" || partyID || ctID || sessionID). Used
// by the in-memory replay tracker — bounded entropy, fits in a fixed
// map key.
func replayTag(partyID uint32, ctID, sessionID [32]byte) [32]byte {
const domain = "LUX/FHE/THRESHOLD/REPLAY/v1"
h := sha256.New()
h.Write([]byte(domain))
var pid [4]byte
binary.BigEndian.PutUint32(pid[:], partyID)
h.Write(pid[:])
h.Write(ctID[:])
h.Write(sessionID[:])
var out [32]byte
copy(out[:], h.Sum(nil))
return out
}
+92
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// Service interfaces for the threshold FHE layer.
//
// Three roles, one wire shape:
//
// PartialDecryptService.PartialDecrypt — party-side: produce a share.
// ShareVerifyService.VerifyShare — peer-side or aggregator-side.
// ShareAggregateService.Aggregate — aggregator-side: combine ≥t shares.
//
// All three are stateless w.r.t. the network: callers pass in the keys
// and ciphertexts they have, and the service does the protocol work and
// emits canonical output. Network plumbing (RPC fan-out, TLS, retries)
// lives one level up in luxfi/mpc — see RealThresholdDecryptor in
// pkg/policy/fhe_verifier.go.
//
// Copyright (c) 2026, Lux Industries Inc.
// SPDX-License-Identifier: BSD-3-Clause
package threshold
import "context"
// PartialDecryptService produces a single party's contribution to a
// threshold decryption.
//
// MPCVM v0.62 four-kernel template applied to partial decryption:
//
// apply — decompose the ciphertext into per-party operands
// (extract the (a, b) LWE pair; reduce mod q).
// sweep — sample noise e_i from the prescribed distribution;
// update the Fiat-Shamir transcript with sessionID,
// partyID, ciphertextID, share commitment.
// compute_leaves — emit the per-party share share_i = b · sk_i + e_i
// (mod q) and the noise proof tying e_i to the
// transcript.
// compose_root — keccak the canonical encoding (ShareData || PartyID
// || CiphertextID || SessionID) and write ShareRoot.
//
// Implementations MUST be deterministic given (partyKey, ciphertext,
// sessionID) for a fixed noise-sampling seed — the Fiat-Shamir
// transcript bytes are byte-equal across primary and private modes.
// Determinism is what allows peer auditors to re-run any party's
// PartialDecrypt and check the output.
type PartialDecryptService interface {
PartialDecrypt(
ctx context.Context,
partyKey KeyShare,
ciphertext FHECiphertext,
sessionID [32]byte,
) (FHEThresholdShare, error)
}
// ShareVerifyService independently checks a share without aggregating.
//
// Verification re-derives ShareRoot from the share fields, replays the
// Fiat-Shamir transcript against the noise commitment in NoiseProof,
// and verifies the proof against the party's public key.
//
// VerifyShare returns (false, error) on cryptographic failure and
// (false, nil) on a clean negative verdict — callers that need to
// distinguish should branch on the error. The boolean alone is a safe
// drop-in for any check that just wants "include this share or not".
type ShareVerifyService interface {
VerifyShare(
ctx context.Context,
share FHEThresholdShare,
ciphertext FHECiphertext,
partyPubKey PublicKey,
sessionID [32]byte,
) (bool, error)
}
// ShareAggregateService combines ≥threshold shares into the plaintext.
//
// The aggregator MUST re-verify every share before combining (defence
// against a malicious party producing a share whose noise proof
// passed at the producer but was tampered in transit). Implementations
// short-circuit on the first invalid share by emitting the appropriate
// FHEStatus in the result; the plaintext returned in that case is nil
// and callers MUST not use it.
//
// The plaintext output is returned separately from FHEThresholdResult
// so the result roots can be anchored (M-Chain or WORM) without
// disclosing the plaintext. The plaintext follows the data-handling
// rules of the calling deployment mode.
type ShareAggregateService interface {
Aggregate(
ctx context.Context,
ciphertext FHECiphertext,
shares []FHEThresholdShare,
threshold uint32,
sessionID [32]byte,
) (FHEThresholdResult, []byte /* plaintext */, error)
}
+129
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// Share verification — peer-side and aggregator-side.
//
// Verification is the cheap, fail-closed gate before aggregation. It
// catches:
//
// - tampered ShareData (ShareRoot mismatch)
// - wrong-ciphertext shares (CiphertextID mismatch)
// - replay across sessions (sessionID baked into ShareRoot)
// - unverifiable noise (placeholder proof) — this is the gap closed
// by the production CDS proof.
//
// The verifier does NOT need the producer's KeyShare: the placeholder
// noise proof binds to the share data and transcript, so the verifier
// only needs the share + ciphertext + sessionID + (optionally) the
// party's PublicKey. The peer-mode path that DOES carry the KeyShare
// is exposed via VerifyShareWithKey for committee self-checks.
//
// Copyright (c) 2026, Lux Industries Inc.
// SPDX-License-Identifier: BSD-3-Clause
package threshold
import (
"context"
"errors"
)
// ErrShareRootMismatch indicates the canonical encoding of the share's
// fields does not hash to the declared ShareRoot.
var ErrShareRootMismatch = errors.New("threshold: share root mismatch")
// ErrCiphertextIDMismatch indicates the share's CiphertextID does not
// equal the supplied ciphertext's ID.
var ErrCiphertextIDMismatch = errors.New("threshold: ciphertext id mismatch")
// ErrPartyIDMismatch indicates the share's PartyID does not match the
// supplied PublicKey.PartyID. Caught early so the aggregator never
// dispatches a verification with the wrong key.
var ErrPartyIDMismatch = errors.New("threshold: party id mismatch")
// ErrNoiseProofVerify indicates the noise proof did not verify against
// the share + transcript. With the placeholder this means a structural
// failure; with the production CDS proof it means the noise was out of
// bound or the proof transcript did not match.
var ErrNoiseProofVerify = errors.New("threshold: noise proof verification failed")
// ShareVerifier is the default in-process ShareVerifyService.
type ShareVerifier struct{}
// NewShareVerifier returns a default ShareVerifier.
func NewShareVerifier() *ShareVerifier {
return &ShareVerifier{}
}
// VerifyShare runs the public-input verification path. The boolean
// return is false on any failure; the error carries the diagnostic.
//
// Sequence:
//
// 1. PartyID consistency between share and pubKey.
// 2. CiphertextID consistency between share and supplied ciphertext.
// 3. ShareRoot re-derivation from canonical encoding.
// 4. Noise proof verification (public-key path).
//
// With the placeholder proof the public-key verification step fails
// closed; the committee path uses VerifyShareWithKey instead.
func (v *ShareVerifier) VerifyShare(
ctx context.Context,
share FHEThresholdShare,
ciphertext FHECiphertext,
partyPubKey PublicKey,
sessionID [32]byte,
) (bool, error) {
if err := ctx.Err(); err != nil {
return false, err
}
if share.PartyID != partyPubKey.PartyID {
return false, ErrPartyIDMismatch
}
if share.CiphertextID != ciphertext.ID {
return false, ErrCiphertextIDMismatch
}
expected := computeShareRoot(share, sessionID)
if expected != share.ShareRoot {
return false, ErrShareRootMismatch
}
if !verifyNoiseProofPublic(partyPubKey, share, sessionID) {
// Public-key noise verification is a no-op until CDS proof
// ships; production deployments MUST use VerifyShareWithKey
// during committee assembly. Returning the typed error keeps
// the diagnostic visible without short-circuiting upstream
// callers that already accept a placeholder.
return false, ErrNoiseProofVerify
}
return true, nil
}
// VerifyShareWithKey runs the symmetric-key verification path used by
// committee peers that hold the producer's KeyShare (e.g. self-checks
// across replicated MPC nodes).
//
// This path is the only one that succeeds against the placeholder
// noise proof. The CDS proof, when shipped, will collapse this back
// into the public-key path.
func (v *ShareVerifier) VerifyShareWithKey(
ctx context.Context,
share FHEThresholdShare,
ciphertext FHECiphertext,
partyKey KeyShare,
sessionID [32]byte,
) (bool, error) {
if err := ctx.Err(); err != nil {
return false, err
}
if share.PartyID != partyKey.PartyID {
return false, ErrPartyIDMismatch
}
if share.CiphertextID != ciphertext.ID {
return false, ErrCiphertextIDMismatch
}
expected := computeShareRoot(share, sessionID)
if expected != share.ShareRoot {
return false, ErrShareRootMismatch
}
if !verifyNoiseProof(partyKey, share, sessionID) {
return false, ErrNoiseProofVerify
}
return true, nil
}
+419
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// Tests for the threshold FHE service layer.
//
// Coverage:
//
// - 2-of-3 partial decrypt + aggregate, byte-identical replay.
// - 3-of-5 same.
// - Insufficient shares (1 of 3 with t=2).
// - Bad noise proof (tampered NoiseProof bytes).
// - Tampered share data (after ShareRoot computed).
// - Replay protection: same sessionID twice for one party.
// - Wrong-ciphertext share is rejected.
// - Cross-party verification with PartyKeys (committee self-check).
// - Transcript root determinism across share reorderings.
//
// Copyright (c) 2026, Lux Industries Inc.
// SPDX-License-Identifier: BSD-3-Clause
package threshold
import (
"context"
"crypto/rand"
"testing"
)
// makeCommittee returns n KeyShares with deterministic-looking bytes
// keyed off PartyID. The bytes are per-party 32-byte secrets — the toy
// scheme XORs them across t parties to recover the masked plaintext.
func makeCommittee(t *testing.T, n uint32) ([]KeyShare, []PublicKey) {
t.Helper()
keys := make([]KeyShare, n)
pubs := make([]PublicKey, n)
for i := uint32(1); i <= n; i++ {
b := make([]byte, 32)
// deterministic by partyID so tests are repeatable
for j := range b {
b[j] = byte(i)*0x11 ^ byte(j)
}
keys[i-1] = KeyShare{PartyID: i, Bytes: b}
// pubkey is sha-of-key (placeholder; production uses real
// per-party verifier material)
pubs[i-1] = PublicKey{PartyID: i, Bytes: append([]byte("pub:"), b...)}
}
return keys, pubs
}
// freshSession returns a 32-byte sessionID drawn from crypto/rand.
func freshSession(t *testing.T) [32]byte {
t.Helper()
var s [32]byte
if _, err := rand.Read(s[:]); err != nil {
t.Fatalf("rand.Read: %v", err)
}
return s
}
func TestPartialDecrypt_Deterministic(t *testing.T) {
keys, _ := makeCommittee(t, 3)
ct := NewFHECiphertext([]byte("ciphertext-bytes-toy-1"))
sess := freshSession(t)
pd1 := NewPartialDecrypter()
pd2 := NewPartialDecrypter()
share1, err := pd1.PartialDecrypt(context.Background(), keys[0], ct, sess)
if err != nil {
t.Fatalf("PartialDecrypt 1: %v", err)
}
share2, err := pd2.PartialDecrypt(context.Background(), keys[0], ct, sess)
if err != nil {
t.Fatalf("PartialDecrypt 2: %v", err)
}
if share1.ShareRoot != share2.ShareRoot {
t.Fatalf("nondeterministic ShareRoot: %x vs %x", share1.ShareRoot, share2.ShareRoot)
}
if string(share1.ShareData) != string(share2.ShareData) {
t.Fatalf("nondeterministic ShareData")
}
}
func TestPartialDecrypt_Replay(t *testing.T) {
keys, _ := makeCommittee(t, 3)
ct := NewFHECiphertext([]byte("ciphertext-bytes-toy-2"))
sess := freshSession(t)
pd := NewPartialDecrypter()
if _, err := pd.PartialDecrypt(context.Background(), keys[0], ct, sess); err != nil {
t.Fatalf("first PartialDecrypt: %v", err)
}
if _, err := pd.PartialDecrypt(context.Background(), keys[0], ct, sess); err == nil {
t.Fatalf("expected replay error on second PartialDecrypt")
}
}
func TestAggregate_2of3(t *testing.T) {
keys, _ := makeCommittee(t, 3)
ct := NewFHECiphertext([]byte("ciphertext-bytes-2of3"))
sess := freshSession(t)
shares := make([]FHEThresholdShare, 0, 3)
for i := 0; i < 3; i++ {
pd := NewPartialDecrypter()
s, err := pd.PartialDecrypt(context.Background(), keys[i], ct, sess)
if err != nil {
t.Fatalf("PartialDecrypt[%d]: %v", i, err)
}
shares = append(shares, s)
}
pkMap := make(map[uint32]KeyShare)
for _, k := range keys {
pkMap[k.PartyID] = k
}
agg := NewShareAggregator()
agg.PartyKeys = pkMap
res, plaintext, err := agg.Aggregate(context.Background(), ct, shares[:2], 2, sess)
if err != nil {
t.Fatalf("Aggregate: %v", err)
}
if res.Status != StatusOK {
t.Fatalf("Status = %s, want OK", res.Status)
}
if res.PartyCount != 2 {
t.Fatalf("PartyCount = %d, want 2", res.PartyCount)
}
if res.Threshold != 2 {
t.Fatalf("Threshold = %d, want 2", res.Threshold)
}
if len(plaintext) == 0 {
t.Fatalf("empty plaintext")
}
if res.CiphertextRoot != ct.ID {
t.Fatalf("CiphertextRoot mismatch")
}
if res.AggregateRoot == ([32]byte{}) {
t.Fatalf("AggregateRoot empty")
}
}
func TestAggregate_3of5(t *testing.T) {
keys, _ := makeCommittee(t, 5)
ct := NewFHECiphertext([]byte("ciphertext-bytes-3of5"))
sess := freshSession(t)
shares := make([]FHEThresholdShare, 0, 5)
for i := 0; i < 5; i++ {
pd := NewPartialDecrypter()
s, err := pd.PartialDecrypt(context.Background(), keys[i], ct, sess)
if err != nil {
t.Fatalf("PartialDecrypt[%d]: %v", i, err)
}
shares = append(shares, s)
}
pkMap := make(map[uint32]KeyShare)
for _, k := range keys {
pkMap[k.PartyID] = k
}
agg := NewShareAggregator()
agg.PartyKeys = pkMap
// Provide 4 shares but require threshold 3 — aggregator MUST take
// the first t in canonical order.
res, plaintext, err := agg.Aggregate(context.Background(), ct, shares[:4], 3, sess)
if err != nil {
t.Fatalf("Aggregate: %v", err)
}
if res.Status != StatusOK {
t.Fatalf("Status = %s", res.Status)
}
if res.PartyCount != 3 {
t.Fatalf("PartyCount = %d, want 3", res.PartyCount)
}
if len(plaintext) == 0 {
t.Fatalf("empty plaintext")
}
}
func TestAggregate_InsufficientShares(t *testing.T) {
keys, _ := makeCommittee(t, 3)
ct := NewFHECiphertext([]byte("ciphertext-bytes-insufficient"))
sess := freshSession(t)
pd := NewPartialDecrypter()
share, err := pd.PartialDecrypt(context.Background(), keys[0], ct, sess)
if err != nil {
t.Fatalf("PartialDecrypt: %v", err)
}
pkMap := map[uint32]KeyShare{keys[0].PartyID: keys[0]}
agg := NewShareAggregator()
agg.PartyKeys = pkMap
res, plaintext, err := agg.Aggregate(context.Background(), ct, []FHEThresholdShare{share}, 2, sess)
if err != ErrTooFewShares {
t.Fatalf("err = %v, want ErrTooFewShares", err)
}
if res.Status != StatusInsufficientShares {
t.Fatalf("Status = %s, want InsufficientShares", res.Status)
}
if plaintext != nil {
t.Fatalf("expected nil plaintext on insufficient shares")
}
}
func TestAggregate_TamperedShareData(t *testing.T) {
keys, _ := makeCommittee(t, 3)
ct := NewFHECiphertext([]byte("ciphertext-bytes-tampered-share"))
sess := freshSession(t)
pd := NewPartialDecrypter()
share, err := pd.PartialDecrypt(context.Background(), keys[0], ct, sess)
if err != nil {
t.Fatalf("PartialDecrypt: %v", err)
}
// Tamper after ShareRoot was computed.
if len(share.ShareData) > 0 {
share.ShareData[0] ^= 0xff
}
pkMap := map[uint32]KeyShare{keys[0].PartyID: keys[0]}
agg := NewShareAggregator()
agg.PartyKeys = pkMap
res, _, err := agg.Aggregate(context.Background(), ct, []FHEThresholdShare{share}, 1, sess)
if err != ErrShareRootMismatch {
t.Fatalf("err = %v, want ErrShareRootMismatch", err)
}
if res.Status != StatusShareRootMismatch {
t.Fatalf("Status = %s, want ShareRootMismatch", res.Status)
}
}
func TestAggregate_BadNoiseProof(t *testing.T) {
keys, _ := makeCommittee(t, 3)
ct := NewFHECiphertext([]byte("ciphertext-bytes-bad-noise"))
sess := freshSession(t)
pd := NewPartialDecrypter()
share, err := pd.PartialDecrypt(context.Background(), keys[0], ct, sess)
if err != nil {
t.Fatalf("PartialDecrypt: %v", err)
}
// Tamper noise proof — but RECOMPUTE the share root to bypass the
// root-mismatch check, so the noise-proof check is what catches
// the failure.
if len(share.NoiseProof) > 0 {
share.NoiseProof[len(share.NoiseProof)-1] ^= 0x01
}
share.ShareRoot = computeShareRoot(share, sess)
pkMap := map[uint32]KeyShare{keys[0].PartyID: keys[0]}
agg := NewShareAggregator()
agg.PartyKeys = pkMap
_, _, err = agg.Aggregate(context.Background(), ct, []FHEThresholdShare{share}, 1, sess)
if err != ErrNoiseProofVerify {
t.Fatalf("err = %v, want ErrNoiseProofVerify", err)
}
}
func TestAggregate_DuplicatePartyID(t *testing.T) {
keys, _ := makeCommittee(t, 3)
ct := NewFHECiphertext([]byte("ciphertext-bytes-dup"))
sess := freshSession(t)
pd := NewPartialDecrypter()
s1, err := pd.PartialDecrypt(context.Background(), keys[0], ct, sess)
if err != nil {
t.Fatalf("PartialDecrypt: %v", err)
}
pd2 := NewPartialDecrypter()
s2, err := pd2.PartialDecrypt(context.Background(), keys[0], ct, sess)
if err != nil {
t.Fatalf("PartialDecrypt 2: %v", err)
}
agg := NewShareAggregator()
_, _, err = agg.Aggregate(context.Background(), ct, []FHEThresholdShare{s1, s2}, 2, sess)
if err != ErrDuplicatePartyID {
t.Fatalf("err = %v, want ErrDuplicatePartyID", err)
}
}
func TestAggregate_WrongCiphertext(t *testing.T) {
keys, _ := makeCommittee(t, 3)
ct1 := NewFHECiphertext([]byte("ciphertext-1"))
ct2 := NewFHECiphertext([]byte("ciphertext-2"))
sess := freshSession(t)
pd := NewPartialDecrypter()
share, err := pd.PartialDecrypt(context.Background(), keys[0], ct1, sess)
if err != nil {
t.Fatalf("PartialDecrypt: %v", err)
}
// Aggregate against the wrong ciphertext.
pkMap := map[uint32]KeyShare{keys[0].PartyID: keys[0]}
agg := NewShareAggregator()
agg.PartyKeys = pkMap
_, _, err = agg.Aggregate(context.Background(), ct2, []FHEThresholdShare{share}, 1, sess)
if err != ErrCiphertextIDMismatch {
t.Fatalf("err = %v, want ErrCiphertextIDMismatch", err)
}
}
func TestVerifyShareWithKey_HappyPath(t *testing.T) {
keys, _ := makeCommittee(t, 3)
ct := NewFHECiphertext([]byte("ciphertext-verify"))
sess := freshSession(t)
pd := NewPartialDecrypter()
share, err := pd.PartialDecrypt(context.Background(), keys[0], ct, sess)
if err != nil {
t.Fatalf("PartialDecrypt: %v", err)
}
v := NewShareVerifier()
ok, err := v.VerifyShareWithKey(context.Background(), share, ct, keys[0], sess)
if err != nil || !ok {
t.Fatalf("VerifyShareWithKey: ok=%v err=%v", ok, err)
}
}
func TestVerifyShare_PublicPathFailsWithoutCDS(t *testing.T) {
// Documentation test: until the CDS proof ships, the public-key
// verification path returns ErrNoiseProofVerify. This test
// guards against accidental success — if it ever turns green
// without a CDS implementation, the verifier has been weakened.
keys, pubs := makeCommittee(t, 3)
ct := NewFHECiphertext([]byte("ciphertext-public-verify"))
sess := freshSession(t)
pd := NewPartialDecrypter()
share, err := pd.PartialDecrypt(context.Background(), keys[0], ct, sess)
if err != nil {
t.Fatalf("PartialDecrypt: %v", err)
}
v := NewShareVerifier()
ok, err := v.VerifyShare(context.Background(), share, ct, pubs[0], sess)
if err != ErrNoiseProofVerify || ok {
t.Fatalf("VerifyShare: ok=%v err=%v, want false + ErrNoiseProofVerify", ok, err)
}
}
func TestComputeTranscriptRoot_OrderInvariant(t *testing.T) {
keys, _ := makeCommittee(t, 3)
ct := NewFHECiphertext([]byte("ciphertext-transcript"))
sess := freshSession(t)
shares := make([]FHEThresholdShare, 3)
for i := 0; i < 3; i++ {
pd := NewPartialDecrypter()
s, err := pd.PartialDecrypt(context.Background(), keys[i], ct, sess)
if err != nil {
t.Fatalf("PartialDecrypt[%d]: %v", i, err)
}
shares[i] = s
}
pkMap := make(map[uint32]KeyShare)
for _, k := range keys {
pkMap[k.PartyID] = k
}
agg := NewShareAggregator()
agg.PartyKeys = pkMap
res1, _, err := agg.Aggregate(context.Background(), ct, shares, 3, sess)
if err != nil {
t.Fatalf("Aggregate: %v", err)
}
root1 := ComputeTranscriptRoot(sess, res1, shares)
// Reorder shares — transcript root MUST be byte-equal because the
// transcript canonicalizes by ascending PartyID.
reordered := []FHEThresholdShare{shares[2], shares[0], shares[1]}
res2, _, err := agg.Aggregate(context.Background(), ct, reordered, 3, sess)
if err != nil {
t.Fatalf("Aggregate reordered: %v", err)
}
root2 := ComputeTranscriptRoot(sess, res2, reordered)
if root1 != root2 {
t.Fatalf("transcript root not order-invariant:\n %x\n %x", root1, root2)
}
}
func TestNoiseProof_VersionTagged(t *testing.T) {
keys, _ := makeCommittee(t, 1)
ct := NewFHECiphertext([]byte("ciphertext-version"))
sess := freshSession(t)
pd := NewPartialDecrypter()
share, err := pd.PartialDecrypt(context.Background(), keys[0], ct, sess)
if err != nil {
t.Fatalf("PartialDecrypt: %v", err)
}
if len(share.NoiseProof) < 8 {
t.Fatalf("noise proof too short")
}
// Bump version → verification fails.
share.NoiseProof[3] = 0xff
share.ShareRoot = computeShareRoot(share, sess)
if verifyNoiseProof(keys[0], share, sess) {
t.Fatalf("expected version mismatch to fail verification")
}
}
func TestStatus_String(t *testing.T) {
cases := []struct {
s FHEStatus
want string
}{
{StatusOK, "OK"},
{StatusInsufficientShares, "InsufficientShares"},
{StatusNoiseProofFailed, "NoiseProofFailed"},
{StatusShareRootMismatch, "ShareRootMismatch"},
{StatusReplay, "Replay"},
{StatusUnknownParty, "UnknownParty"},
{StatusInvalidCiphertext, "InvalidCiphertext"},
{FHEStatus(255), "Unknown"},
}
for _, c := range cases {
if got := c.s.String(); got != c.want {
t.Errorf("FHEStatus(%d).String() = %q, want %q", c.s, got, c.want)
}
}
}
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// Canonical encoding + transcript-root construction for the threshold
// FHE service.
//
// Two roots flow through the protocol:
//
// ShareRoot = sha256(canonicalShare(share, sessionID))
// ThresholdTranscriptRoot = keccak256(canonicalTranscript(...))
//
// Both encodings are length-prefixed, fixed-byte-order, and reject
// trailing data. Determinism across CPU/Metal/CUDA/Go/C++ implementations
// is exactly the byte-equivalence of these encodings — the same input
// MUST produce the same root on every backend. This is the
// `compose_root` step of the MPCVM four-kernel template.
//
// The keccak256 used for the transcript root matches the EVM/Quasar
// keccak shape so the FHEPrecompileArtifact.ThresholdTranscriptRoot
// field can be checked inside the cevm precompile dispatcher without
// converting hash families.
//
// Copyright (c) 2026, Lux Industries Inc.
// SPDX-License-Identifier: BSD-3-Clause
package threshold
import (
"crypto/sha256"
"encoding/binary"
"errors"
"sort"
"golang.org/x/crypto/sha3"
)
// ErrCanonical is returned when canonical encoding fails. Indicates a
// caller-side bug (over-large field, nil pointer) — never a wire-side
// failure.
var ErrCanonical = errors.New("threshold: canonical encoding failed")
// canonicalShare encodes a share + sessionID into the byte slice that
// is sha256'd to produce ShareRoot.
//
// Layout (length-prefixed, big-endian):
//
// domain "LUX/FHE/THRESHOLD/SHARE/v1" (26 bytes)
// partyID uint32 BE (4 bytes)
// ctID fixed 32 bytes (32 bytes)
// sessionID fixed 32 bytes (32 bytes)
// shareLen uint32 BE (4 bytes)
// shareData shareLen bytes
//
// NoiseProof is intentionally NOT in the share root: the noise proof
// commits to the same transcript and is verified independently. Mixing
// it into ShareRoot would force aggregators to re-encode the entire
// proof to verify a single share's identity — wasteful and brittle.
func canonicalShare(s FHEThresholdShare, sessionID [32]byte) []byte {
const domain = "LUX/FHE/THRESHOLD/SHARE/v1"
out := make([]byte, 0, len(domain)+4+32+32+4+len(s.ShareData))
out = append(out, domain...)
out = appendU32(out, s.PartyID)
out = append(out, s.CiphertextID[:]...)
out = append(out, sessionID[:]...)
out = appendU32(out, uint32(len(s.ShareData)))
out = append(out, s.ShareData...)
return out
}
// computeShareRoot returns sha256(canonicalShare(share, sessionID)).
func computeShareRoot(s FHEThresholdShare, sessionID [32]byte) [32]byte {
return sha256.Sum256(canonicalShare(s, sessionID))
}
// canonicalTranscript encodes the full threshold-decryption transcript
// into the byte slice that is keccak256'd to produce
// ThresholdTranscriptRoot.
//
// Layout:
//
// domain "LUX/FHE/THRESHOLD/TRANSCRIPT/v1" (31 bytes)
// sessionID fixed 32 bytes
// ctRoot fixed 32 bytes (CiphertextRoot from result)
// partyCount uint32 BE
// threshold uint32 BE
// shareCount uint32 BE
// shareRoots shareCount × 32 bytes (ascending PartyID order)
// aggregateRoot fixed 32 bytes
// statusU32 uint32 BE
//
// The sort-on-PartyID step is what makes the transcript byte-equal
// across nodes that may receive shares in different network orders.
func canonicalTranscript(
sessionID [32]byte,
result FHEThresholdResult,
shareRoots [][32]byte,
) []byte {
const domain = "LUX/FHE/THRESHOLD/TRANSCRIPT/v1"
out := make([]byte, 0, len(domain)+32+32+4+4+4+len(shareRoots)*32+32+4)
out = append(out, domain...)
out = append(out, sessionID[:]...)
out = append(out, result.CiphertextRoot[:]...)
out = appendU32(out, result.PartyCount)
out = appendU32(out, result.Threshold)
out = appendU32(out, uint32(len(shareRoots)))
for _, sr := range shareRoots {
out = append(out, sr[:]...)
}
out = append(out, result.AggregateRoot[:]...)
out = appendU32(out, uint32(result.Status))
return out
}
// ComputeTranscriptRoot returns keccak256(canonicalTranscript(...)).
//
// This is the value that flows into
// FHEPrecompileArtifact.ThresholdTranscriptRoot and is anchored by the
// audit dispatcher (M-Chain in primary mode, local WORM in private
// mode).
func ComputeTranscriptRoot(
sessionID [32]byte,
result FHEThresholdResult,
shares []FHEThresholdShare,
) [32]byte {
roots := make([][32]byte, len(shares))
idxs := make([]int, len(shares))
for i := range shares {
idxs[i] = i
}
sort.Slice(idxs, func(a, b int) bool {
return shares[idxs[a]].PartyID < shares[idxs[b]].PartyID
})
for i, idx := range idxs {
roots[i] = shares[idx].ShareRoot
}
h := sha3.NewLegacyKeccak256()
h.Write(canonicalTranscript(sessionID, result, roots))
var out [32]byte
copy(out[:], h.Sum(nil))
return out
}
// merkleShareRoot computes the Merkle root over share roots in
// ascending PartyID order. Used to populate
// FHEThresholdResult.ShareRoot. Pure sha256-of-pairs; matches the
// gpukit transcript_root primitive's CPU oracle.
func merkleShareRoot(shares []FHEThresholdShare) [32]byte {
if len(shares) == 0 {
return [32]byte{}
}
idxs := make([]int, len(shares))
for i := range shares {
idxs[i] = i
}
sort.Slice(idxs, func(a, b int) bool {
return shares[idxs[a]].PartyID < shares[idxs[b]].PartyID
})
leaves := make([][32]byte, len(idxs))
for i, idx := range idxs {
leaves[i] = shares[idx].ShareRoot
}
for len(leaves) > 1 {
next := make([][32]byte, 0, (len(leaves)+1)/2)
for i := 0; i < len(leaves); i += 2 {
var pair [64]byte
copy(pair[:32], leaves[i][:])
if i+1 < len(leaves) {
copy(pair[32:], leaves[i+1][:])
} else {
copy(pair[32:], leaves[i][:])
}
next = append(next, sha256.Sum256(pair[:]))
}
leaves = next
}
return leaves[0]
}
// ciphertextRoot computes sha256 of the ciphertext bytes — the value
// stored on FHECiphertext.ID at construction and reused as
// FHEThresholdResult.CiphertextRoot for single-input decrypts.
func ciphertextRoot(ct FHECiphertext) [32]byte {
return sha256.Sum256(ct.Bytes)
}
// canonicalAggregate encodes the plaintext + party-count + threshold
// into the byte slice that is sha256'd to produce AggregateRoot. Used
// by the aggregator to commit to the output without revealing it
// upstream.
func canonicalAggregate(plaintext []byte, partyCount, threshold uint32) []byte {
const domain = "LUX/FHE/THRESHOLD/AGGREGATE/v1"
out := make([]byte, 0, len(domain)+4+len(plaintext)+4+4)
out = append(out, domain...)
out = appendU32(out, uint32(len(plaintext)))
out = append(out, plaintext...)
out = appendU32(out, partyCount)
out = appendU32(out, threshold)
return out
}
// computeAggregateRoot returns sha256(canonicalAggregate(...)).
func computeAggregateRoot(plaintext []byte, partyCount, threshold uint32) [32]byte {
return sha256.Sum256(canonicalAggregate(plaintext, partyCount, threshold))
}
func appendU32(b []byte, v uint32) []byte {
var tmp [4]byte
binary.BigEndian.PutUint32(tmp[:], v)
return append(b, tmp[:]...)
}
+200
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@@ -0,0 +1,200 @@
// Package threshold implements the t-of-n threshold FHE service layer
// — partial decryption, share verification, and aggregate decryption —
// composed on top of luxfi/fhe primitives (NTT, blind rotation, key
// switching).
//
// The package is independent of any single FHE scheme: the service
// interfaces accept opaque ciphertext bytes and party-keyed share
// material, and the concrete implementations in this package target the
// TFHE/FHEW path used by F-Chain. Other schemes (BFV, CKKS, BGV) plug in
// by implementing the same interfaces.
//
// Design discipline:
//
// - Every wire object — share, transcript, aggregate — carries a
// canonical sha256 root of its inputs. Verification and aggregation
// re-derive these roots; mismatches fail closed with a typed status.
//
// - Partial decryption follows the MPCVM v0.62 four-kernel template:
// `apply` decomposes the ciphertext into per-party operands;
// `sweep` samples per-share noise and updates the Fiat-Shamir
// transcript; `compute_leaves` produces the per-party share + noise
// proof; `compose_root` keccaks the canonical encoding and emits the
// ShareRoot. Each step has a single, unambiguous shape.
//
// - The package targets the dual-mode MPC dispatcher (sibling #115):
// primary mode anchors the ThresholdTranscriptRoot to M-Chain; private
// mode anchors to local WORM. The service emits the root either way;
// the caller decides where it lands.
//
// Reference: LP-137-FHE-THRESHOLD.md.
//
// Copyright (c) 2026, Lux Industries Inc.
// SPDX-License-Identifier: BSD-3-Clause
package threshold
// FHEStatus is the verdict status emitted by the threshold service for
// every share, transcript, and aggregate result. Wire stable: enum
// values are fixed and MUST NOT be reordered. Add new statuses by
// appending.
type FHEStatus uint32
const (
// StatusOK is the success status. The result fields are valid and the
// plaintext (where present) is the correct decryption.
StatusOK FHEStatus = 0
// StatusInsufficientShares indicates fewer than `Threshold` valid
// shares were collected before aggregation. The result is undefined.
StatusInsufficientShares FHEStatus = 1
// StatusNoiseProofFailed indicates a share's noise proof did not
// verify against the Fiat-Shamir transcript. The share has been
// rejected; the aggregate excludes it.
StatusNoiseProofFailed FHEStatus = 2
// StatusShareRootMismatch indicates the canonical encoding of a
// share's data does not match its declared ShareRoot. Indicates
// tampering or serialization drift.
StatusShareRootMismatch FHEStatus = 3
// StatusReplay indicates a sessionID has already been used for
// partial decryption. The service refuses to re-issue a share for
// the same (party, ciphertext, sessionID) tuple.
StatusReplay FHEStatus = 4
// StatusUnknownParty indicates a share carried a PartyID outside
// the configured set. The aggregator rejects it before verification.
StatusUnknownParty FHEStatus = 5
// StatusInvalidCiphertext indicates the input ciphertext failed
// scheme-level structural validation (header drift, length mismatch,
// modulus mismatch).
StatusInvalidCiphertext FHEStatus = 6
)
// String returns a stable, human-readable name for the status.
func (s FHEStatus) String() string {
switch s {
case StatusOK:
return "OK"
case StatusInsufficientShares:
return "InsufficientShares"
case StatusNoiseProofFailed:
return "NoiseProofFailed"
case StatusShareRootMismatch:
return "ShareRootMismatch"
case StatusReplay:
return "Replay"
case StatusUnknownParty:
return "UnknownParty"
case StatusInvalidCiphertext:
return "InvalidCiphertext"
default:
return "Unknown"
}
}
// FHEThresholdShare is a single party's contribution to a threshold
// decryption (or partial evaluation). It is the wire object produced by
// PartialDecryptService.PartialDecrypt and consumed by both
// ShareVerifyService.VerifyShare and ShareAggregateService.Aggregate.
//
// The ShareRoot field binds (PartyID, CiphertextID, ShareData) to a
// single sha256 hash so downstream verifiers can detect replay,
// reordering, and field-level tampering with a single comparison.
type FHEThresholdShare struct {
// PartyID is the 1-indexed party identifier. Party indices are part
// of the keygen ceremony — every share for a given ciphertext must
// carry a distinct PartyID.
PartyID uint32
// CiphertextID is the sha256 of the canonical encoding of the
// ciphertext this share decrypts. Allows the aggregator to reject
// mismatched-ciphertext shares without re-decoding.
CiphertextID [32]byte
// ShareData is the scheme-specific share payload — for TFHE this is
// (b · sk_i + e_i) mod q packed as the canonical scheme bytes; for
// BFV/CKKS this is the partial-decrypt polynomial. The threshold
// package does not interpret the bytes; the FHEScheme bound at the
// service layer does.
ShareData []byte
// NoiseProof is the proof that the noise added during partial
// decryption was sampled from the prescribed distribution within
// the protocol-mandated bound. Production systems use a CDS-style
// sigma-of-knowledge proof; see noise_proof.go for the reference
// transcript construction.
NoiseProof []byte
// ShareRoot is sha256(canonical(ShareData || PartyID || CiphertextID
// || SessionID)). Verifiers MUST re-derive and compare; aggregators
// MUST reject any share whose ShareRoot does not match.
ShareRoot [32]byte
}
// FHEThresholdResult is the aggregate of a threshold decryption: the
// roots that flow into FHEPrecompileArtifact.ThresholdTranscriptRoot,
// the party count and threshold actually realized, and the verdict
// status.
//
// The aggregate plaintext (when Status == StatusOK) is returned out of
// band by the aggregate service so callers can decide whether to log,
// audit, or deliver it. The result struct itself only carries the roots
// — those are the values bound into the precompile artifact and the
// audit dispatcher.
type FHEThresholdResult struct {
// CiphertextRoot is sha256(canonical(input ciphertexts in canonical
// order)). For single-ciphertext decrypts this is sha256 of the
// ciphertext bytes; for multi-ciphertext aggregates (e.g. a vector
// decrypt) it is the Merkle root.
CiphertextRoot [32]byte
// ShareRoot is the Merkle root over all share roots used in the
// aggregation, in canonical (ascending PartyID) order.
ShareRoot [32]byte
// AggregateRoot is sha256(canonical(plaintext bytes || PartyCount ||
// Threshold)). Callers anchoring to M-Chain or WORM use this as the
// commitment to the aggregate output without revealing the plaintext.
AggregateRoot [32]byte
// PartyCount is the number of valid shares actually combined.
PartyCount uint32
// Threshold is the t value the protocol was configured for.
Threshold uint32
// Status is the final verdict. StatusOK means the aggregate is valid
// and the out-of-band plaintext bytes are the true decryption.
Status FHEStatus
}
// KeyShare is a single party's secret share of the threshold key. The
// Bytes field is the scheme-specific encoding; the threshold package
// does not interpret it. PartyID matches FHEThresholdShare.PartyID.
type KeyShare struct {
PartyID uint32
Bytes []byte
}
// PublicKey is the per-party public verification material. For TFHE
// threshold this is the party's public commitment to its secret share;
// for BFV/CKKS it is the public part of the partial-decrypt key.
type PublicKey struct {
PartyID uint32
Bytes []byte
}
// FHECiphertext is the opaque wire form of an FHE ciphertext. The
// threshold package treats it as immutable bytes plus a 32-byte ID; the
// scheme-specific decoder is plugged in via the service constructor.
type FHECiphertext struct {
// ID is sha256 of Bytes. Computed once at construction; aggregators
// re-check before use.
ID [32]byte
// Bytes is the canonical scheme-specific encoding.
Bytes []byte
}