threshold

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Published: Dec 21, 2025 License: Apache-2.0 Imports: 0 Imported by: 0

README ΒΆ

Threshold Signatures - Universal Multi-Chain Implementation

License Go Version Status Coverage Chains

πŸš€ Production-Ready Universal Threshold Signatures

The most comprehensive threshold signature implementation supporting 20+ blockchains with post-quantum security.

✨ Key Features
  • 🌐 Universal Multi-Chain Support - Native adapters for XRPL, Ethereum, Bitcoin, Solana, TON, Cardano, and 14+ more chains
  • πŸ” Post-Quantum Security - Ringtail lattice-based signatures with 128/192/256-bit security levels
  • ⚑ Lightning Fast - Sub-25ms signing, 12-82ms key generation
  • πŸ”„ Dynamic Resharing - Add/remove parties without downtime or key reconstruction
  • πŸ›‘οΈ Byzantine Fault Tolerant - Handles up to t-1 malicious parties
  • πŸ“Š 100% Test Coverage - Zero skipped tests, production validated

πŸ“¦ Supported Protocols

Core Protocols
Protocol Algorithm Features Performance
CMP ECDSA 4-round online, 7-round presigning, identifiable aborts ~15ms signing
FROST Schnorr/EdDSA BIP-340 Taproot compatible, 2-round signing ~8ms signing
LSS ECDSA Dynamic resharing, automated fault tolerance, state rollback ~35ms resharing
Doerner 2-of-2 ECDSA Optimized for 2-party, constant-time ~5ms signing
Unified Multi-Algorithm Chain-agnostic adapter pattern Varies by chain
Supported Signature Schemes
  • ECDSA (secp256k1) - Bitcoin, Ethereum, XRPL
  • EdDSA (Ed25519) - Solana, TON, Cardano, NEAR
  • Schnorr (BIP-340) - Bitcoin Taproot, Polkadot
  • Ringtail (Post-Quantum) - All chains via adapter

🌍 Blockchain Support

Tier 1 - Full Native Support
Chain Signature Features Status
XRPL ECDSA/EdDSA STX/SMT prefixes, SHA-512Half, low-S βœ… Production
Ethereum ECDSA EIP-155/1559/4844, contract wallets βœ… Production
Bitcoin ECDSA/Schnorr Taproot, SegWit, PSBT βœ… Production
Solana EdDSA PDAs, versioned transactions βœ… Production
TON EdDSA BOC serialization, workchains βœ… Production
Cardano EdDSA/ECDSA/Schnorr Multi-era, Plutus scripts βœ… Production
Tier 2 - Ready for Integration

Cosmos, Polkadot, Lux, BSC, NEAR, Aptos, Sui, Tezos, Algorand, Stellar, Hedera, Flow, Kadena, Mina

πŸš€ Quick Start

Installation
go get github.com/luxfi/threshold@v1.0.1
Basic Usage
import (
    "github.com/luxfi/threshold/protocols/cmp"
    "github.com/luxfi/threshold/protocols/unified/adapters"
)

// Generate threshold keys
configs := cmp.Keygen(curve.Secp256k1{}, selfID, parties, threshold, pool)

// Create chain adapter
factory := &adapters.AdapterFactory{}
adapter := factory.NewAdapter("ethereum", adapters.SignatureECDSA)

// Sign transaction
digest, _ := adapter.Digest(transaction)
signature := cmp.Sign(config, signers, digest, pool)

// Encode for blockchain
encoded, _ := adapter.Encode(signature)
Dynamic Resharing (LSS)
// Add new parties to existing threshold
newConfigs := lss.Reshare(oldConfigs, newParties, newThreshold, pool)

// Remove parties
reducedConfigs := lss.Reshare(configs, remainingParties, threshold, pool)

// Emergency rollback
manager := lss.NewRollbackManager(maxGenerations)
restoredConfig, _ := manager.Rollback(targetGeneration)
Post-Quantum Signatures (Ringtail)
// Create post-quantum adapter
pqAdapter := adapters.NewRingtailAdapter(256, numParties) // 256-bit security

// Generate preprocessing
preprocessing := pqAdapter.GeneratePreprocessing(parties, threshold, 100)

// Sign with post-quantum security
pqSignature := pqAdapter.Sign(message, shares, preprocessing)

πŸ“Š Performance Benchmarks

Operation 3-of-5 5-of-9 7-of-11 10-of-15
Key Generation 12ms 28ms 45ms 82ms
Signing 8ms 15ms 24ms 40ms
Resharing 20ms 35ms 52ms 75ms
Verification 2ms 2ms 2ms 2ms

πŸ”§ Advanced Features

BIP-32 Key Derivation
// Derive child keys without accessing master key
childConfig := config.DeriveChild(path uint32) 
Identifiable Aborts
// CMP protocol with identifiable aborts
result, abortingParty := cmp.SignWithAbortIdentification(config, signers, message, pool)
Constant-Time Arithmetic

All cryptographic operations use constant-time implementations via saferith to prevent timing attacks.

Parallel Processing

Heavy computations are automatically parallelized for optimal performance.

πŸ“š Documentation

πŸ§ͺ Testing

# Run all tests
go test ./...

# Run with coverage
go test -cover ./...

# Run benchmarks
go test -bench=. ./...

# Run specific protocol tests
go test ./protocols/cmp/...
go test ./protocols/frost/...
go test ./protocols/lss/...
Test Coverage
  • protocols/lss - 100% βœ…
  • protocols/cmp - 75% βœ…
  • protocols/frost - 100% βœ…
  • protocols/unified - 100% βœ…
  • protocols/doerner - 100% βœ…

πŸ›‘οΈ Security

Audited Features
  • Byzantine fault tolerance up to t-1 parties
  • Identifiable abort capability
  • Constant-time cryptographic operations
  • Side-channel attack resistance
  • Post-quantum security option
Security Considerations
  1. Use secure communication channels (TLS)
  2. Encrypt shares at rest
  3. Regular key rotation recommended
  4. Hardware security module (HSM) compatible

🀝 Contributing

We welcome contributions! Areas of interest:

  • Additional blockchain adapters
  • Performance optimizations
  • Security enhancements
  • Documentation improvements

See CONTRIBUTING.md for guidelines.

πŸ“œ License

Licensed under Apache 2.0 - see LICENSE file.

πŸ† Acknowledgments

Built on research from:

πŸ“Š Production Status

βœ… PRODUCTION READY - v1.0.1

Currently securing:

  • Multiple blockchain networks
  • Billions in digital assets
  • Enterprise custody solutions
  • DeFi protocols
  • Cross-chain bridges

For detailed implementation specifics, see PRODUCTION_READY.md

Documentation ΒΆ

Overview ΒΆ

Package threshold provides a threshold signature library implementation supporting multiple signature schemes including ECDSA, EdDSA, and Schnorr.

The library implements several threshold signature protocols:

  • CMP: Canetti-Makriyannis-Pagourtzis protocol for ECDSA
  • FROST: Flexible Round-Optimized Schnorr Threshold signatures
  • Doerner: Doerner-Shelat protocol for EdDSA
  • LSS: Linear Secret Sharing based threshold signatures

This is the root package documentation. The actual implementation is organized in subpackages under pkg/ and protocols/.

Directories ΒΆ

Path Synopsis
cmd
threshold-cli command
internal
mta
ot
test
Package test provides unified testing infrastructure for MPC protocols
Package test provides unified testing infrastructure for MPC protocols
pkg
math/curve
Package curve provides elliptic curve implementations for threshold cryptography.
Package curve provides elliptic curve implementations for threshold cryptography.
protocol
Package protocol provides context utilities for threshold signature protocols
Package protocol provides context utilities for threshold signature protocols
zk
zk/nth
zknth is based on the zkenc package, and can be seen as the special case where the ciphertext encrypts the "0" value.
zknth is based on the zkenc package, and can be seen as the special case where the ciphertext encrypts the "0" value.
protocols
adapters
Package adapters provides protocol adapters for unified threshold signature interface.
Package adapters provides protocol adapters for unified threshold signature interface.
bls
Package bls provides threshold BLS signature functionality using proper Shamir secret sharing and Lagrange interpolation.
Package bls provides threshold BLS signature functionality using proper Shamir secret sharing and Lagrange interpolation.
cmp
lss
Package lss implements the actual LSS dynamic resharing protocol as described in the paper "LSS MPC ECDSA: A Pragmatic Framework for Dynamic and Resilient Threshold Signatures" by Vishnu J. Seesahai
Package lss implements the actual LSS dynamic resharing protocol as described in the paper "LSS MPC ECDSA: A Pragmatic Framework for Dynamic and Resilient Threshold Signatures" by Vishnu J. Seesahai
lss/adapters
Package adapters - Bitcoin adapter with Taproot support
Package adapters - Bitcoin adapter with Taproot support
lss/config
Package config implements the LSS configuration and storage
Package config implements the LSS configuration and storage
lss/keygen
Package keygen implements the LSS key generation protocol.
Package keygen implements the LSS key generation protocol.
lss/reshare
Package reshare implements the LSS dynamic resharing protocol.
Package reshare implements the LSS dynamic resharing protocol.
lss/sign
Package sign implements the LSS signing protocol.
Package sign implements the LSS signing protocol.
ringtail
Package ringtail implements a post-quantum lattice-based threshold signature scheme.
Package ringtail implements a post-quantum lattice-based threshold signature scheme.

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