Agent skill
crypto-primitives
Implementation and secure usage of cryptographic primitives including ECDSA, BLS, Schnorr signatures, key derivation, secret sharing, and constant-time operations. Provides guidance for secure cryptographic implementations in blockchain applications.
Install this agent skill to your Project
npx add-skill https://github.com/a5c-ai/babysitter/tree/main/library/specializations/cryptography-blockchain/skills/crypto-primitives
SKILL.md
Cryptographic Primitives Skill
Expert implementation and usage of cryptographic primitives for blockchain and security applications.
Capabilities
- Digital Signatures: ECDSA, BLS, Schnorr signature implementation and verification
- Key Derivation: BIP-32/39/44 hierarchical deterministic key generation
- Threshold Cryptography: Shamir secret sharing, threshold signatures
- Hash Functions: Secure usage of Keccak, Poseidon, MiMC, Pedersen
- Commitments: Pedersen commitments, hash commitments
- Secure Randomness: CSPRNG usage, VRF integration
- Constant-Time Operations: Side-channel resistant implementations
Signature Schemes
ECDSA (secp256k1)
Standard Ethereum signature scheme:
import { secp256k1 } from '@noble/curves/secp256k1';
import { keccak_256 } from '@noble/hashes/sha3';
// Sign message
const messageHash = keccak_256(message);
const signature = secp256k1.sign(messageHash, privateKey);
// Verify signature
const isValid = secp256k1.verify(signature, messageHash, publicKey);
// Recover public key from signature (Ethereum style)
const recoveredPubKey = signature.recoverPublicKey(messageHash);
BLS Signatures (BLS12-381)
Aggregatable signatures for validator sets:
import { bls12_381 } from '@noble/curves/bls12-381';
// Sign with BLS
const signature = bls12_381.sign(message, privateKey);
// Verify
const isValid = bls12_381.verify(signature, message, publicKey);
// Aggregate signatures
const aggregatedSig = bls12_381.aggregateSignatures([sig1, sig2, sig3]);
const aggregatedPubKeys = bls12_381.aggregatePublicKeys([pk1, pk2, pk3]);
const isValidAgg = bls12_381.verify(aggregatedSig, message, aggregatedPubKeys);
Schnorr Signatures
BIP-340 compliant Schnorr signatures:
import { schnorr } from '@noble/curves/secp256k1';
// Sign (returns 64-byte signature)
const signature = schnorr.sign(messageHash, privateKey);
// Verify
const isValid = schnorr.verify(signature, messageHash, publicKey);
Key Derivation
BIP-32 HD Wallet
import { HDKey } from '@scure/bip32';
import { mnemonicToSeedSync } from '@scure/bip39';
// From mnemonic to seed
const seed = mnemonicToSeedSync(mnemonic);
// Create HD wallet
const hdkey = HDKey.fromMasterSeed(seed);
// Derive path (BIP-44 for Ethereum)
// m/44'/60'/0'/0/0
const child = hdkey
.derive("m/44'/60'/0'/0")
.deriveChild(0);
const privateKey = child.privateKey;
const publicKey = child.publicKey;
BIP-39 Mnemonic
import { generateMnemonic, validateMnemonic } from '@scure/bip39';
import { wordlist } from '@scure/bip39/wordlists/english';
// Generate new mnemonic (128 bits = 12 words, 256 bits = 24 words)
const mnemonic = generateMnemonic(wordlist, 256);
// Validate mnemonic
const isValid = validateMnemonic(mnemonic, wordlist);
Secret Sharing
Shamir's Secret Sharing
import { split, combine } from 'shamir-secret-sharing';
// Split secret into 5 shares, requiring 3 to reconstruct
const shares = await split(secretBytes, 5, 3);
// Reconstruct with any 3 shares
const reconstructed = await combine([shares[0], shares[2], shares[4]]);
Feldman VSS (Verifiable Secret Sharing)
// Commitments allow verification without revealing secret
const { shares, commitments } = feldmanVSS.split(secret, n, t);
// Verify a share
const isValidShare = feldmanVSS.verifyShare(share, commitments);
Hash Functions
Ethereum-Specific
import { keccak_256 } from '@noble/hashes/sha3';
// Ethereum address from public key
const publicKeyHash = keccak_256(publicKey.slice(1)); // Remove 0x04 prefix
const address = '0x' + publicKeyHash.slice(-20).toString('hex');
ZK-Friendly Hashes
// Poseidon hash (used in ZK circuits)
import { poseidon } from '@iden3/js-crypto';
const hash = poseidon([input1, input2, input3]);
// MiMC hash
import { mimcSponge } from 'circomlib';
const hash = mimcSponge.multiHash([input1, input2], key, numOutputs);
Commitments
Pedersen Commitment
// commit(m, r) = g^m * h^r
// Hiding: cannot determine m from commitment
// Binding: cannot find m', r' where commit(m, r) = commit(m', r')
function pedersenCommit(m, r, g, h) {
return g.multiply(m).add(h.multiply(r));
}
// Verify commitment
function verifyCommitment(commitment, m, r, g, h) {
const expected = pedersenCommit(m, r, g, h);
return commitment.equals(expected);
}
Hash Commitment
// Simple commit-reveal scheme
function commit(value, nonce) {
return keccak256(abi.encodePacked(value, nonce));
}
function reveal(commitment, value, nonce) {
return commitment === keccak256(abi.encodePacked(value, nonce));
}
Constant-Time Operations
Critical for Security
// BAD: Timing attack vulnerable
function compareInsecure(a, b) {
return a === b; // Short-circuits on first mismatch
}
// GOOD: Constant-time comparison
function compareSecure(a, b) {
if (a.length !== b.length) return false;
let diff = 0;
for (let i = 0; i < a.length; i++) {
diff |= a[i] ^ b[i];
}
return diff === 0;
}
Library Functions
import { timingSafeEqual } from 'crypto';
// Use built-in constant-time comparison
const isEqual = timingSafeEqual(Buffer.from(a), Buffer.from(b));
Secure Randomness
CSPRNG Usage
import { randomBytes } from '@noble/hashes/utils';
// Generate secure random bytes
const privateKey = randomBytes(32);
// For browser environments
const array = new Uint8Array(32);
crypto.getRandomValues(array);
Chainlink VRF (On-chain)
// Request randomness on-chain
function requestRandomness() external returns (uint256 requestId) {
return COORDINATOR.requestRandomWords(
keyHash,
subscriptionId,
requestConfirmations,
callbackGasLimit,
numWords
);
}
function fulfillRandomWords(uint256, uint256[] memory randomWords) internal override {
// Use randomWords[0] for provably fair randomness
}
Process Integration
This skill integrates with:
cryptographic-protocol-implementation.js- Full protocol designhd-wallet-implementation.js- Wallet key managementmulti-signature-wallet.js- Multi-sig schemesthreshold-signature-scheme.js- TSS implementationzk-circuit-development.js- ZK-friendly primitives
Security Guidelines
DO
- Use audited cryptographic libraries (noble-curves, libsodium)
- Use constant-time operations for secret comparisons
- Securely generate and handle entropy
- Clear sensitive data from memory after use
- Use appropriate key lengths (256-bit for AES, secp256k1)
DON'T
- Implement cryptographic algorithms from scratch
- Use Math.random() for security-critical operations
- Store private keys in plain text
- Reuse nonces in signature schemes
- Log or expose secret material
Recommended Libraries
| Library | Purpose | URL |
|---|---|---|
| @noble/curves | Elliptic curves (secp256k1, ed25519, BLS12-381) | noble-curves |
| @noble/hashes | Hash functions (SHA, Keccak, BLAKE) | noble-hashes |
| @scure/bip32 | HD key derivation | scure-bip32 |
| @scure/bip39 | Mnemonic generation | scure-bip39 |
| libsodium | General-purpose crypto | libsodium.js |
| circomlibjs | ZK-friendly crypto | circomlibjs |
See Also
agents/crypto-engineer/AGENT.md- Cryptographic implementation expertskills/zk-circuits/SKILL.md- Zero-knowledge circuitsreferences.md- External cryptographic references
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