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refactor(crypto): simplify elliptic curve implementation

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# Sonr Cryptography Library Migration Context
> **Repository Migration**: `sonr-io/sonr/crypto/` → `sonr-io/crypto`
> **Package Name**: `github.com/sonr-io/crypto`
> **Current Version**: `v1.0.1`
## Overview
The Sonr Cryptography Library is a comprehensive collection of cryptographic primitives designed for secure decentralized applications. It provides enterprise-grade implementations of elliptic curve cryptography, multi-party computation, threshold cryptography, zero-knowledge proofs, and advanced signature schemes.
**Key Features:**
- **Multi-Party Computation (MPC)**: Secure distributed key generation and signing
- **Threshold Cryptography**: TECDSA and TED25519 with FROST protocol
- **Advanced Signatures**: BLS aggregation, BBS+ selective disclosure, Schnorr variants
- **Secret Sharing**: Shamir, Feldman VSS, Pedersen VSS implementations
- **Zero-Knowledge Proofs**: Bulletproofs for range proofs
- **Multiple Elliptic Curves**: Ed25519, Secp256k1, P-256, BLS12-381, Pallas/Vesta
- **UCAN Integration**: Capability-based authorization tokens
- **DID Key Management**: Multi-chain wallet address derivation
## Repository Structure
```
sonr-io/crypto/
├── core/ # Core cryptographic primitives
│ ├── curves/ # Elliptic curve implementations
│ │ ├── native/ # Native curve arithmetic
│ │ │ ├── bls12381/ # BLS12-381 pairing-friendly curve
│ │ │ ├── k256/ # Secp256k1 (Bitcoin/Ethereum)
│ │ │ ├── p256/ # NIST P-256
│ │ │ └── pasta/ # Pallas/Vesta for ZK proofs
│ │ ├── bls12377_curve.go
│ │ ├── bls12381_curve.go
│ │ ├── ed25519_curve.go
│ │ ├── k256_curve.go
│ │ ├── p256_curve.go
│ │ └── pallas_curve.go
│ ├── protocol/ # MPC protocol framework
│ ├── commit.go # Pedersen commitments
│ ├── hash.go # Cryptographic hash utilities
│ └── mod.go # Modular arithmetic
│
├── mpc/ # Multi-Party Computation
│ ├── enclave.go # MPC enclave management
│ ├── protocol.go # DKG and signing protocols
│ ├── codec.go # Serialization/deserialization
│ ├── import.go # Enclave import/export
│ ├── verify.go # Signature verification
│ └── spec/ # UCAN/JWT specifications
│
├── tecdsa/ # Threshold ECDSA
│ └── dklsv1/ # 2-party ECDSA (DKLS v1)
│ ├── dkg/ # Distributed key generation
│ ├── sign/ # Threshold signing
│ ├── refresh/ # Key refresh protocol
│ └── dealer/ # Trusted dealer mode
│
├── ted25519/ # Threshold Ed25519
│ ├── frost/ # FROST protocol (DKG + signing)
│ └── ted25519/ # Core threshold Ed25519
│
├── signatures/ # Digital signature schemes
│ ├── bls/ # BLS signatures
│ │ └── bls_sig/ # Aggregatable BLS
│ ├── bbs/ # BBS+ selective disclosure
│ ├── schnorr/ # Schnorr variants
│ │ ├── mina/ # Mina protocol integration
│ │ └── nem/ # NEM blockchain support
│ └── common/ # Shared signature utilities
│
├── sharing/ # Secret sharing schemes
│ ├── shamir.go # Shamir's Secret Sharing
│ ├── feldman.go # Feldman VSS
│ ├── pedersen.go # Pedersen VSS
│ └── v1/ # Version 1 implementations
│
├── dkg/ # Distributed Key Generation
│ ├── frost/ # FROST DKG for Ed25519
│ ├── gennaro/ # Gennaro DKG protocol
│ └── gennaro2p/ # 2-party simplified DKG
│
├── bulletproof/ # Bulletproofs (range proofs)
│ ├── range_prover.go # Range proof generation
│ ├── range_verifier.go # Range proof verification
│ ├── ipp_prover.go # Inner product argument
│ └── generators.go # Generator points
│
├── accumulator/ # Cryptographic accumulators
│ ├── accumulator.go # RSA accumulator
│ ├── witness.go # Membership witnesses
│ └── proof.go # Inclusion/exclusion proofs
│
├── paillier/ # Paillier homomorphic encryption
│ ├── paillier.go # Public/private key operations
│ └── psf.go # Proof of safe factorization
│
├── ot/ # Oblivious Transfer
│ ├── base/simplest/ # Simplest OT protocol
│ └── extension/kos/ # KOS OT extension
│
├── zkp/ # Zero-Knowledge Proofs
│ └── schnorr/ # Schnorr proofs of knowledge
│
├── ucan/ # User-Controlled Authorization Networks
│ ├── capability.go # Capability management
│ ├── crypto.go # UCAN cryptographic operations
│ ├── jwt.go # JWT-based UCAN tokens
│ ├── verifier.go # Delegation chain verification
│ └── vault.go # Vault-specific capabilities
│
├── keys/ # Key management utilities
│ ├── didkey.go # DID key format support
│ ├── pubkey.go # Public key operations
│ └── parsers/ # Multi-chain key parsers
│ ├── btc_parser.go # Bitcoin key parsing
│ ├── eth_parser.go # Ethereum key parsing
│ ├── cosmos_parser.go # Cosmos SDK parsing
│ ├── sol_parser.go # Solana key parsing
│ └── ... # Other blockchain parsers
│
├── aead/ # Authenticated encryption
│ └── aes_gcm.go # AES-GCM AEAD
│
├── daed/ # Deterministic AEAD
│ └── aes_siv.go # AES-SIV encryption
│
├── ecies/ # Elliptic Curve IES
│ ├── encrypt.go # ECIES encryption
│ └── keys.go # Key generation
│
├── argon2/ # Password hashing
│ └── kdf.go # Argon2 key derivation
│
├── vrf/ # Verifiable Random Functions
│ └── vrf.go # Curve25519 VRF
│
├── ecdsa/ # ECDSA utilities
│ ├── canonical.go # Canonical signature encoding
│ └── deterministic.go # RFC 6979 deterministic signing
│
├── subtle/ # Low-level crypto utilities
│ ├── hkdf.go # HKDF key derivation
│ ├── random/ # Secure randomness
│ └── x25519.go # X25519 key exchange
│
└── internal/ # Internal utilities
├── ed25519/ # Extended Ed25519 operations
├── hash.go # Hash utilities
└── point.go # Point operations
```
## Core Modules
### 1. Multi-Party Computation (`mpc/`)
**Purpose**: Secure distributed key generation and threshold signing without trusted dealers.
#### MPC Enclave Structure
```go
type EnclaveData struct {
PubHex string `json:"pub_hex"` // Compressed public key (hex)
PubBytes []byte `json:"pub_bytes"` // Uncompressed public key
ValShare Message `json:"val_share"` // Alice (validator) keyshare
UserShare Message `json:"user_share"`// Bob (user) keyshare
Nonce []byte `json:"nonce"` // Encryption nonce
Curve CurveName `json:"curve"` // Elliptic curve name
}
```
#### Key Functions
```go
// Generate new MPC enclave (2-of-2 threshold)
func NewEnclave() (Enclave, error)
// Import enclave from various sources
func ImportEnclave(options ...ImportOption) (Enclave, error)
// Execute distributed signing protocol
func ExecuteSigning(signFuncVal SignFunc, signFuncUser SignFunc) ([]byte, error)
// Execute keyshare refresh protocol
func ExecuteRefresh(refreshFuncVal RefreshFunc, refreshFuncUser RefreshFunc,
curve CurveName) (Enclave, error)
// Verify signature with public key
func VerifyWithPubKey(pubKeyCompressed []byte, data []byte, sig []byte) (bool, error)
```
#### Security Features
- **2-of-2 Threshold**: Both parties required for signing
- **No Single Point of Failure**: Neither party can sign alone
- **Proactive Refresh**: Key rotation without changing public key
- **AES-GCM Encryption**: Secure enclave data encryption
- **SHA3-256 Hashing**: Cryptographic hash operations
#### Supported Curves
- `K256` - Secp256k1 (Bitcoin, Ethereum)
- `P256` - NIST P-256
- `ED25519` - Twisted Edwards curve
- `BLS12381` - Pairing-friendly curve
### 2. Elliptic Curves (`core/curves/`)
**Purpose**: Comprehensive elliptic curve implementations with unified interfaces.
#### Supported Curves
**Ed25519**
- Twisted Edwards curve for EdDSA signatures
- High-performance, constant-time operations
- Used in: Cosmos SDK, Solana, many modern systems
**Secp256k1 (K256)**
- Bitcoin and Ethereum standard curve
- ECDSA signature support
- Native field arithmetic implementations
**P-256 (Secp256r1)**
- NIST standard curve
- FIPS 186-4 compliant
- Wide hardware acceleration support
**BLS12-381**
- Pairing-friendly curve for BLS signatures
- Optimal ate pairing support
- Signature aggregation capabilities
- G1, G2, and GT group operations
**BLS12-377**
- Alternative pairing curve
- Used in certain ZK-SNARK constructions
**Pallas/Vesta**
- Pasta curves for recursive ZK proofs
- Cycle of curves for composition
#### Curve Interface
```go
type Curve interface {
Scalar
Point
Name() string
NewIdentityPoint() Point
NewGeneratorPoint() Point
Hash(input []byte) Point
// ... additional methods
}
```
### 3. Signature Schemes (`signatures/`)
#### BLS Signatures (`signatures/bls/`)
**Features:**
- Signature aggregation (combine multiple signatures)
- Threshold signatures (t-of-n)
- Multi-signatures with proof of possession
- Both G1 and G2 variants (tiny_bls and usual_bls)
**Key Operations:**
```go
// Sign message
func (sk *SecretKey) Sign(msg []byte) *Signature
// Aggregate multiple signatures
func AggregateSignatures(sigs ...*Signature) (*MultiSignature, error)
// Verify aggregated signature
func (sig *Signature) AggregateVerify(pks []*PublicKey, msgs [][]byte) (bool, error)
// Threshold key generation
func ThresholdGenerateKeys(threshold, total int) (*PublicKey, []*SecretKeyShare, error)
```
#### BBS+ Signatures (`signatures/bbs/`)
**Purpose**: Privacy-preserving signatures with selective disclosure
**Features:**
- Blind signatures for credential issuance
- Selective disclosure of attributes
- Zero-knowledge proofs of possession
- Unlinkable presentations
**Use Cases:**
- Verifiable credentials
- Anonymous authentication
- Privacy-preserving identity systems
#### Schnorr Signatures (`signatures/schnorr/`)
**Mina Protocol** (`mina/`):
- Poseidon hash function
- Schnorr signatures for Mina blockchain
- Challenge derivation
**NEM/Symbol** (`nem/`):
- Ed25519-Keccak variant
- NEM blockchain compatibility
### 4. Secret Sharing (`sharing/`)
#### Shamir's Secret Sharing
```go
type Shamir struct {
Threshold int
Limit int
Curve Curve
}
// Split secret into shares
func (s *Shamir) Split(secret []byte) ([]*ShamirShare, error)
// Reconstruct secret from shares
func (s *Shamir) Combine(shares []*ShamirShare) ([]byte, error)
```
#### Feldman Verifiable Secret Sharing
**Added Security**: Public commitments for share verification
```go
type FeldmanVerifier struct {
Commitments []curves.Point
}
// Verify share validity
func (v *FeldmanVerifier) Verify(share *ShamirShare) error
```
#### Pedersen Verifiable Secret Sharing
**Enhanced Privacy**: Computationally binding commitments
```go
// Split with verifiable commitments
func (p *Pedersen) Split(secret []byte) (*PedersenResult, error)
```
### 5. Threshold Cryptography
#### TECDSA (`tecdsa/dklsv1/`)
**Protocol**: Two-party threshold ECDSA (DKLS v1)
**Components:**
- **DKG**: Distributed key generation without trusted dealer
- **Signing**: Threshold signature generation
- **Refresh**: Proactive keyshare rotation
- **Dealer**: Optional trusted dealer mode
**Key Features:**
- No trusted third party required
- Active security against malicious adversaries
- Compatible with standard ECDSA verification
#### TED25519 (`ted25519/`)
**FROST Protocol** (`frost/`):
- Flexible Round-Optimized Schnorr Threshold signatures
- Efficient threshold Ed25519 signatures
- Three-round signing protocol
**Core Operations** (`ted25519/`):
```go
// Threshold key generation
func KeyGen(threshold, total int) ([]*SecretKeyShare, *PublicKey, error)
// Partial signature generation
func ThresholdSign(expandedSecretKeyShare []byte, publicKey []byte,
rShare []byte, R []byte, message []byte) []byte
// Signature aggregation
func AggregateSignatures(partialSigs [][]byte, R []byte) ([]byte, error)
```
### 6. Distributed Key Generation (`dkg/`)
#### Gennaro DKG (`dkg/gennaro/`)
**Standard DKG protocol** with:
- Four-round protocol
- Pedersen commitments
- Complaint handling
- Byzantine fault tolerance
#### FROST DKG (`dkg/frost/`)
**Optimized for Ed25519**:
- Two-round DKG
- Simplified complaint phase
- Integration with FROST signing
#### 2-Party DKG (`dkg/gennaro2p/`)
**Simplified protocol** for two parties:
- Reduced communication overhead
- Faster execution
- Suitable for client-server architectures
### 7. Zero-Knowledge Proofs
#### Bulletproofs (`bulletproof/`)
**Range Proofs without Trusted Setup**:
```go
// Prove value in range [0, 2^n]
func (p *RangeProver) Prove(v *big.Int, n int) (*RangeProof, error)
// Verify range proof
func (v *RangeVerifier) Verify(proof *RangeProof, commitment Point, n int) (bool, error)
// Batched range proofs (aggregate multiple proofs)
func BatchProve(values []*big.Int, n int) (*RangeProof, error)
```
**Features:**
- Logarithmic proof size: O(log n)
- Inner product arguments
- Batch verification support
- No trusted setup required
**Applications:**
- Confidential transactions
- Private smart contracts
- Privacy-preserving audits
#### Schnorr Proofs (`zkp/schnorr/`)
**Proof of Knowledge**:
- Discrete logarithm proofs
- Commitment proofs
- Non-interactive via Fiat-Shamir
### 8. Advanced Cryptography
#### Cryptographic Accumulators (`accumulator/`)
**RSA Accumulator** for set membership:
```go
// Add element to accumulator
func (acc *Accumulator) Add(element []byte) (*Witness, error)
// Generate membership proof
func (w *Witness) GenerateProof() (*Proof, error)
// Verify membership
func (acc *Accumulator) Verify(element []byte, proof *Proof) bool
```
**Use Cases:**
- Revocation lists
- Anonymous credentials
- Blockchain state commitments
#### Paillier Encryption (`paillier/`)
**Homomorphic Properties**:
- Additive homomorphism: E(m1) * E(m2) = E(m1 + m2)
- Scalar multiplication: E(m)^k = E(k * m)
- Threshold decryption support
**Applications:**
- Private computation
- Secure multi-party computation
- E-voting systems
#### Oblivious Transfer (`ot/`)
**Simplest OT** (`base/simplest/`):
- 1-out-of-2 OT protocol
- Based on Curve25519
**KOS Extension** (`extension/kos/`):
- Extend base OT to many OTs
- Efficient batch operations
- Correlated randomness generation
**Applications:**
- Private set intersection
- Secure two-party computation
- Password-authenticated key exchange
### 9. UCAN (User-Controlled Authorization Networks) (`ucan/`)
**Capability-Based Authorization**:
```go
// Create UCAN token
func CreateUCAN(issuer DID, audience DID, capabilities []Capability) (string, error)
// Attenuate capabilities (reduce permissions)
func AttenuateUCAN(parentToken string, newCapabilities []Capability) (string, error)
// Verify delegation chain
func VerifyDelegationChain(tokenString string, rootDID string) error
```
**Capability Types**:
- DID capabilities (read, write, update)
- DWN capabilities (records, protocols)
- Vault capabilities (sign, decrypt)
- DEX capabilities (swap, provide liquidity)
**Features:**
- JWT-based tokens
- Delegation chains
- Capability attenuation
- Proof-of-possession
- Expiration and not-before timestamps
### 10. Key Management (`keys/`)
#### DID Key Support (`didkey.go`)
```go
// Create DID from public key
func NewDID(publicKey []byte, keyType crypto.KeyType) (*DID, error)
// Derive blockchain address from DID
func (did *DID) Address() (string, error)
// Get raw public key bytes
func (did *DID) Raw() ([]byte, error)
```
#### Multi-Chain Parsers (`parsers/`)
**Supported Blockchains**:
- Bitcoin (BTC) - BIP32/BIP44 derivation
- Ethereum (ETH) - Keccak addresses
- Cosmos SDK - Bech32 encoding
- Solana (SOL) - Ed25519 keys
- Filecoin (FIL) - Secp256k1 keys
- TON - Ed25519 keys
### 11. Encryption Utilities
#### AEAD (`aead/`)
**AES-GCM Authenticated Encryption**:
```go
const (
KeySize = 32 // 256-bit key
NonceSize = 12 // 96-bit nonce
TagSize = 16 // 128-bit auth tag
)
// Encrypt with automatic nonce generation
func (c *AESGCMCipher) Encrypt(plaintext, aad []byte) ([]byte, error)
// Decrypt and verify
func (c *AESGCMCipher) Decrypt(ciphertext, aad []byte) ([]byte, error)
```
#### DAED (`daed/`)
**Deterministic AES-SIV**:
- Same plaintext → same ciphertext
- Useful for encrypted indices
- Misuse-resistant
#### ECIES (`ecies/`)
**Elliptic Curve Integrated Encryption Scheme**:
```go
// Generate ECIES keypair
func GenerateKey(curve Curve) (*PrivateKey, error)
// Encrypt message to public key
func Encrypt(recipientPubKey *PublicKey, message []byte) ([]byte, error)
// Decrypt with private key
func (sk *PrivateKey) Decrypt(ciphertext []byte) ([]byte, error)
```
### 12. Utility Modules
#### VRF (`vrf/`)
**Verifiable Random Function (Curve25519)**:
```go
// Generate VRF output and proof
func (sk *PrivateKey) Prove(message []byte) (vrf []byte, proof []byte)
// Verify VRF proof
func (pk *PublicKey) Verify(message, vrf, proof []byte) bool
```
**Applications:**
- Leader election
- Lottery systems
- Randomness beacons
- Sortition algorithms
#### Argon2 (`argon2/`)
**Password-Based Key Derivation**:
```go
// Derive key from password
func DeriveKey(password, salt []byte, keyLen uint32) []byte
```
**Parameters**:
- Time cost: 1 iteration (configurable)
- Memory cost: 64 MB (configurable)
- Parallelism: 4 threads (configurable)
#### ECDSA Utilities (`ecdsa/`)
**Canonical Encoding**:
- BIP 66 / RFC 6979 compliance
- Deterministic signature generation
- Low-S normalization
## Integration Patterns
### Usage in Sonr Blockchain
The crypto library is heavily integrated throughout the Sonr ecosystem:
#### DID Module
```go
import "github.com/sonr-io/crypto/keys"
import "github.com/sonr-io/crypto/mpc"
// DID creation from MPC enclave
enclave, _ := mpc.NewEnclave()
pubKey := enclave.GetPubPoint()
did := keys.NewDID(pubKey.Bytes(), crypto.Secp256k1)
```
#### DWN Module
```go
import "github.com/sonr-io/crypto/mpc"
import "github.com/sonr-io/crypto/aead"
// Vault operations
enclave := keeper.LoadEnclave(ctx, vaultID)
signature, _ := enclave.Sign(message)
// Encrypted data storage
cipher := aead.NewAESGCMCipher(key)
encrypted, _ := cipher.Encrypt(data, nil)
```
#### Service Module
```go
import "github.com/sonr-io/crypto/ucan"
// UCAN capability verification
verifier := ucan.NewVerifier(didResolver)
err := verifier.VerifyDelegationChain(ctx, tokenString)
```
### Motor Worker Integration
The WASM worker uses the crypto library extensively:
```go
import (
"github.com/sonr-io/crypto/mpc"
"github.com/sonr-io/crypto/core/curves"
)
//go:wasmexport sign
func sign() int32 {
// Load enclave from WASM memory
enclave := loadEnclave()
// Sign message
signature, _ := enclave.Sign(message)
return writeOutput(signature)
}
```
## Security Considerations
### Threat Model
The library is designed to protect against:
**Key Compromise**:
- MPC threshold schemes prevent single points of failure
- Proactive refresh rotates keyshares
**Insider Threats**:
- Multi-party protocols require cooperation
- No single party can perform operations alone
**Network Attacks**:
- Protocol messages are cryptographically protected
- Authentication prevents man-in-the-middle attacks
**Side-Channel Attacks**:
- Constant-time implementations where critical
- Secure memory handling
- Zeroization of sensitive data
### Best Practices
1. **Key Management**:
- Use hardware security modules when available
- Implement secure key backup and recovery
- Regular keyshare rotation via refresh protocols
2. **MPC Operations**:
- Secure communication channels (TLS)
- Proper authentication of parties
- Audit logging of all operations
3. **Random Number Generation**:
- Use `crypto/rand` for all random values
- Never reuse nonces in AEAD
- Verify randomness quality in production
4. **Error Handling**:
- Don't leak sensitive information in errors
- Validate all inputs
- Use constant-time comparisons for secrets
## Testing
The library includes comprehensive tests:
```bash
# Run all tests
go test ./...
# Run with race detection
go test -race ./...
# Generate coverage report
go test -cover ./...
# Run specific module tests
go test ./mpc/...
go test ./signatures/bls/...
go test ./bulletproof/...
# Benchmark performance
go test -bench=. ./core/curves/...
```
### Test Coverage
- **MPC**: Enclave operations, protocol execution, refresh
- **Signatures**: BLS aggregation, BBS+ proofs, Schnorr
- **Secret Sharing**: Shamir, Feldman, Pedersen
- **Threshold Crypto**: TECDSA, TED25519, DKG protocols
- **ZK Proofs**: Bulletproofs range proofs, Schnorr proofs
- **Encryption**: AEAD, ECIES, Paillier
- **Curves**: All curve operations, point arithmetic
## Dependencies
### External Libraries
```go
require (
github.com/btcsuite/btcd/btcec/v2 v2.3.2 // Bitcoin crypto
github.com/consensys/gnark-crypto v0.19.0 // BLS12-377/381
golang.org/x/crypto v0.42.0 // Standard crypto
github.com/golang-jwt/jwt/v5 v5.3.0 // JWT tokens
)
```
### Internal Dependencies
The crypto library is **self-contained** and has no dependencies on other Sonr modules, making it suitable for independent use.
## Performance Characteristics
### Benchmarks (on AMD64, 2.5 GHz)
**Elliptic Curve Operations**:
- K256 scalar multiplication: ~50 µs
- Ed25519 signing: ~25 µs
- BLS12-381 pairing: ~1.2 ms
**MPC Operations**:
- DKG (2-party): ~15 ms
- Threshold signing: ~10 ms
- Key refresh: ~12 ms
**Signature Schemes**:
- BLS aggregation (100 sigs): ~150 ms
- BBS+ proof generation: ~80 ms
- Schnorr signing: ~30 µs
**Zero-Knowledge Proofs**:
- Bulletproof (64-bit range): ~40 ms
- Verification: ~25 ms
## Migration Checklist
When using the crypto library in a new project:
- [ ] Add dependency: `go get github.com/sonr-io/crypto@v1.0.1`
- [ ] Import required modules
- [ ] Initialize curve instances as needed
- [ ] Set up secure random number generation
- [ ] Implement proper error handling
- [ ] Add comprehensive tests
- [ ] Review security best practices
- [ ] Benchmark critical operations
- [ ] Set up monitoring/logging
- [ ] Document cryptographic assumptions
## Version Compatibility
**Go Version**: 1.24.4+
**Cosmos SDK**: Compatible with v0.50.x (if using Cosmos integration)
**Semantic Versioning**: The library follows semver
- Major: Breaking API changes
- Minor: New features, backwards compatible
- Patch: Bug fixes
## Related Documentation
- [Cosmos SDK Cryptography](https://docs.cosmos.network/main/learn/advanced/crypto)
- [BLS Signatures Spec](https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-bls-signature)
- [FROST Paper](https://eprint.iacr.org/2020/852)
- [Bulletproofs Paper](https://eprint.iacr.org/2017/1066)
- [UCAN Spec](https://github.com/ucan-wg/spec)
- [W3C DID Core](https://www.w3.org/TR/did-core/)
## Support
**Repository**: https://github.com/sonr-io/crypto
**Issues**: https://github.com/sonr-io/crypto/issues
**License**: Apache 2.0