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pulsar: lattice threshold kernel with key-era lifecycle + Pulsar-SHA3 + Nebula binding
Forked from github.com/luxfi/corona @ d09b2c2. Pulsar inherits the
2-round signing math byte-equal but adds blockchain-grade key
lifecycle and a SHA3-based domain-separated hash profile for
permissionless validator-set rotation.
Inherits from upstream Corona (byte-equal):
- Sign1/Sign2/Combine 2-round signing math
- Lattice ring R_q = Z_q[X]/(X^256+1), q = 0x1000000004A01
- Module-LWE / Module-SIS hardness
- NTT, Discrete-Gaussian Ziggurat, MAC layer
Replaces from upstream:
- Broken Feldman-style DKG (pseudoinverse-recoverable). Replaced
with: (a) one-time foundation MPC ceremony / trusted-dealer
Bootstrap; (b) Pedersen DKG over R_q (research, dkg2/) hiding
under MLWE on B / binding under MSIS on [A | B].
- Trusted-dealer-per-epoch lifecycle (wrong shape for permissionless
rotation). Replaced with Verifiable Secret Resharing (VSR) every
epoch under the persistent group public key.
Key-era lifecycle (KeyEraID / Generation / RollbackFrom):
- KeyEraID bumps only at Reanchor (rare governance event)
- Generation bumps every Refresh / Reshare under the same GroupKey
- RollbackFrom records prior generation reverted from (0 = forward)
- Activation cert (QUASAR-PULSAR-ACTIVATE-v1) gates new generations
under the unchanged GroupKey
Pulsar-SHA3 hash profile (NIST FIPS 202 / SP 800-185):
- Hc: cSHAKE256("PULSAR-HC-v1", transcript) → challenge
- Hu: cSHAKE256("PULSAR-HU-v1", transcript) → XOF stream
- TranscriptHash: TupleHash256("PULSAR-TRANSCRIPT-v1", parts...)
- PRF: KMAC256(key, msg, "PULSAR-PRF-v1")
- MAC: KMAC256(key, msg, "PULSAR-MAC-v1")
- Pairwise: KMAC256(kex, encode(...), "PULSAR-PAIRWISE-v1")
- Default suite is Pulsar-SHA3; Pulsar-BLAKE3 retained as optional
non-normative fast profile. HashSuiteID is bound into transcripts.
- Implementation at pulsar/hash/ with HashSuite interface.
- All KATs regenerated under SHA3 profile; vectors in
luxcpp/crypto/pulsar/test/kat/.
Nebula root binding (TranscriptInputs + ActivationMessage canonical
bytes, all bound under TupleHash256):
chain_id, network_id, group_id,
key_era_id, old_generation, new_generation,
old_epoch_id, new_epoch_id,
old_set_hash, new_set_hash,
threshold_old, threshold_new,
group_public_key_hash,
nebula_root,
hash_suite_id,
implementation_version,
variant.
Packages:
primitives/ Shamir over R_q, Lagrange, hash helpers
sign/ 2-round sign math (byte-equal upstream)
threshold/ GroupKey, KeyShare, Signer types
reshare/ VSR kernel — Refresh (HJKY97 zero-poly), Reshare
(Desmedt-Jajodia), commit (Pedersen R_q), complaint,
transcript, pairwise KEX, activation cert
hash/ HashSuite interface; PulsarSHA3 (default), PulsarBLAKE3
dkg2/ Pedersen DKG over R_q (research, reference only)
keyera/ Lifecycle wrapper: Bootstrap → Reshare → Reanchor
papers/ LP-073-pulsar paper (sections + bibliography)
cmd/*_oracle/ KAT generators (Go ↔ C++ byte-equal validation)
DESIGN.md is the single source of truth:
- The Pulsar metaphor (rotating beam over persistent body)
- Vocabulary stack per LP-105: Nebula / Photon / Lumen / Beam /
Pulsar / Pulse / Prism / Horizon / Quasar
- Pulsar ≠ Lumen (PQ stream is separate, planned)
- Pulsar / Lens / LSS three-layer architecture
- Bootstrap Dealer vs Signature Coordinator
- No-slashing failure ladder (timeout → retry → rollback → reanchor)
- MVP VSR vs Robust VSR phasing
- Borrowed-brand terms ("X-Wing" used casually) replaced with
"hybrid KEM" / "Hybrid Lumen Handshake"; X-Wing cited only as
the IETF combiner primitive name where exact reference matters.
Tests: full suite green
hash 5+/5+, keyera 5/5, reshare 45+/45+, threshold, sign, dkg,
dkg2, primitives, networking, utils, corona_oracle_v2 KAT —
all pass.
Honest claim: the crypto primitives are not new (HJKY97,
Desmedt-Jajodia97, Wong-Wang-Wing02, Corona, Hermine, Threshold
Raccoon all exist). The novel contribution is the systems
composition: a permissionless-consensus deployment architecture that
turns static two-round PQ threshold signatures into a dynamic,
leaderless, validator-rotation-tolerant finality layer.
Companion docs: papers/lp-073-pulsar/ (academic paper); LP-073 +
LP-103 + LP-105 in github.com/luxfi/lps; threshold/protocols/lss/
lss_pulsar.go (LSS adapter wrapping this kernel).
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