Scenario 11.1: Key Generation
Category: Key Management
Complexity: ⭐⭐⭐ (Medium)
Prerequisites: OpenSSL 3.6+, secure entropy source
Estimated Time: 15-20 Minutes
Description
This scenario describes the secure generation of cryptographic keys for Post-Quantum algorithms. Key generation is the most critical step - weak keys endanger all operations based on them.
Supported Algorithms:
| Algorithm | Type | Security | Key Size (Public) |
|---|---|---|---|
| ML-DSA-44 | Signature | 128-bit | 1,312 Bytes |
| ML-DSA-65 | Signature | 192-bit | 1,952 Bytes |
| ML-DSA-87 | Signature | 256-bit | 2,592 Bytes |
| ML-KEM-512 | KEM | 128-bit | 800 Bytes |
| ML-KEM-768 | KEM | 192-bit | 1,184 Bytes |
| ML-KEM-1024 | KEM | 256-bit | 1,568 Bytes |
Workflow
flowchart LR
ENTROPY[Entropy Source] --> RNG[CSPRNG]
RNG --> KEYGEN[Key Generation]
PARAM[Select Parameters] --> KEYGEN
KEYGEN --> PUBKEY[Public Key]
KEYGEN --> PRIVKEY[Private Key]
PRIVKEY --> ENCRYPT[Store Encrypted]
style ENTROPY fill:#fff3e0
style ENCRYPT fill:#e8f5e9
Code Example: ML-DSA Signature Key
using WvdS.Security.Cryptography.X509Certificates.Extensions.PQ; using var ctx = PqCryptoContext.Initialize(); // Generate ML-DSA-65 key pair (recommended) using var signatureKey = ctx.GenerateKeyPair(PqAlgorithm.MlDsa65); Console.WriteLine("ML-DSA-65 key generated:"); Console.WriteLine($" Public Key: {signatureKey.PublicKey.GetRawData().Length} Bytes"); Console.WriteLine($" OID: {signatureKey.PublicKey.Oid.Value}"); // Save as PEM signatureKey.PublicKey.ToPemFile("signing.pub.pem"); signatureKey.ToEncryptedPemFile("signing.key.pem", "SecurePassword123!"); // Different security levels using var mlDsa44 = ctx.GenerateKeyPair(PqAlgorithm.MlDsa44); // 128-bit using var mlDsa65 = ctx.GenerateKeyPair(PqAlgorithm.MlDsa65); // 192-bit (Standard) using var mlDsa87 = ctx.GenerateKeyPair(PqAlgorithm.MlDsa87); // 256-bit (High Security)
Code Example: ML-KEM Encryption Key
using var ctx = PqCryptoContext.Initialize(); // ML-KEM-768 for Key Encapsulation (recommended) using var kemKey = ctx.GenerateKeyPair(PqAlgorithm.MlKem768); Console.WriteLine("ML-KEM-768 key generated:"); Console.WriteLine($" Public Key: {kemKey.PublicKey.GetRawData().Length} Bytes"); Console.WriteLine($" Usage: Key Encapsulation"); // Save kemKey.PublicKey.ToPemFile("encryption.pub.pem"); kemKey.ToEncryptedPemFile("encryption.key.pem", "EncryptionPassword!");
Code Example: Hybrid Key Pair
public class HybridKeyPair { public AsymmetricAlgorithm ClassicalKey { get; set; } public PqKeyPair PqKey { get; set; } public static HybridKeyPair Generate( ClassicalAlgorithm classical, PqAlgorithm pq) { using var ctx = PqCryptoContext.Initialize(); // Classical key var classicalKey = classical switch { ClassicalAlgorithm.RsA4096 => RSA.Create(4096), ClassicalAlgorithm.EcdsaP384 => ECDsa.Create(ECCurve.NamedCurves.nistP384), ClassicalAlgorithm.EcdhP384 => ECDiffieHellman.Create(ECCurve.NamedCurves.nistP384), _ => throw new ArgumentException("Unknown algorithm") }; // PQ key var pqKey = ctx.GenerateKeyPair(pq); return new HybridKeyPair { ClassicalKey = classicalKey, PqKey = pqKey }; } public void SaveToFiles(string baseName, string password) { // Classical key if (ClassicalKey is RSA rsa) { var rsaPem = rsa.ExportRSAPrivateKeyPem(); File.WriteAllText($"{baseName}-classical.key.pem", rsaPem); } else if (ClassicalKey is ECDsa ecdsa) { var ecPem = ecdsa.ExportECPrivateKeyPem(); File.WriteAllText($"{baseName}-classical.key.pem", ecPem); } // PQ key PqKey.ToEncryptedPemFile($"{baseName}-pq.key.pem", password); PqKey.PublicKey.ToPemFile($"{baseName}-pq.pub.pem"); } } public enum ClassicalAlgorithm { RsA4096, EcdsaP384, EcdhP384 }
Batch Generation
public class KeyGenerationService { public Dictionary<string, PqKeyPair> GenerateBatch( int count, PqAlgorithm algorithm, string namePrefix) { using var ctx = PqCryptoContext.Initialize(); var keys = new Dictionary<string, PqKeyPair>(); for (int i = 0; i < count; i++) { var name = $"{namePrefix}-{i:D4}"; var keyPair = ctx.GenerateKeyPair(algorithm); keys[name] = keyPair; Console.WriteLine($"Generated: {name}"); } return keys; } public void SaveBatch( Dictionary<string, PqKeyPair> keys, string outputDir, string password) { Directory.CreateDirectory(outputDir); foreach (var (name, key) in keys) { key.PublicKey.ToPemFile(Path.Combine(outputDir, $"{name}.pub.pem")); key.ToEncryptedPemFile( Path.Combine(outputDir, $"{name}.key.pem"), password ); } } }
Entropy and Random Numbers
public class EntropySource { // System CSPRNG (recommended) public static byte[] GetSystemEntropy(int bytes) { return RandomNumberGenerator.GetBytes(bytes); } // Check hardware RNG public static bool IsHardwareRngAvailable() { try { // Intel RDRAND return System.Runtime.Intrinsics.X86.Rdrand.IsSupported; } catch { return false; } } // Mix in additional entropy (optional) public static byte[] EnhancedEntropy(int bytes) { var systemEntropy = RandomNumberGenerator.GetBytes(bytes); // Mix in additional entropy sources var timestamp = BitConverter.GetBytes(DateTime.UtcNow.Ticks); var processId = BitConverter.GetBytes(Environment.ProcessId); var gcMemory = BitConverter.GetBytes(GC.GetTotalMemory(false)); // Hash combined using var sha = SHA256.Create(); var combined = new byte[systemEntropy.Length + timestamp.Length + processId.Length + gcMemory.Length]; Buffer.BlockCopy(systemEntropy, 0, combined, 0, systemEntropy.Length); Buffer.BlockCopy(timestamp, 0, combined, systemEntropy.Length, timestamp.Length); Buffer.BlockCopy(processId, 0, combined, systemEntropy.Length + timestamp.Length, processId.Length); Buffer.BlockCopy(gcMemory, 0, combined, systemEntropy.Length + timestamp.Length + processId.Length, gcMemory.Length); var hashed = sha.ComputeHash(combined); // Extended entropy for more bytes var result = new byte[bytes]; for (int i = 0; i < bytes; i += 32) { var blockSize = Math.Min(32, bytes - i); Buffer.BlockCopy(hashed, 0, result, i, blockSize); hashed = sha.ComputeHash(hashed); } return result; } }
Industry-Specific Requirements
| Industry | Minimum Security | Recommended Algorithm | HSM Required? |
|---|---|---|---|
| Standard IT | 128-bit | ML-DSA-65 / ML-KEM-768 | No |
| Financial Sector | 192-bit | ML-DSA-65 / ML-KEM-768 | Yes |
| Healthcare | 192-bit | ML-DSA-65 / ML-KEM-768 | Recommended |
| Government | 256-bit | ML-DSA-87 / ML-KEM-1024 | Yes |
| IoT | 128-bit | ML-DSA-44 / ML-KEM-512 | No |
Related Scenarios
| Relationship | Scenario | Description |
|---|---|---|
| Next Step | 11.2 Key Storage | Secure storage |
| Related | 11.3 Key Rotation | Regular exchange |
| Related | 2.1 Server CSR | Create CSR |
« ← Key Overview | ↑ Scenarios | 11.2 Key Storage → »
Wolfgang van der Stille @ EMSR DATA d.o.o. - Post-Quantum Cryptography Professional
Zuletzt geändert: on 2026/01/30 at 06:40 AM