KeyDerivationExtensions

Namespace: WvdS.System.Security.Cryptography.KeyDerivation

Classe statica per la derivazione delle chiavi (Key Derivation Functions) con supporto Post-Quantum. Supporta HKDF, PBKDF2 e Argon2id.

Panoramica

Algoritmi KDF supportati:

KDF Standard Utilizzo
HKDF RFC 5869 Chiavi di sessione da Shared Secrets
PBKDF2 RFC 8018 Chiavi basate su password
Argon2id RFC 9106 KDF memory-hard (password)

HKDF - Hash-based Key Derivation

DeriveKey

Deriva chiavi da un Shared Secret (HKDF-Extract-then-Expand).

// ML-KEM Shared Secret da Key Exchange
byte[] sharedSecret = session.SharedSecret;
 
// Derivazione standard (SHA-256)
byte[] aesKey = KeyDerivationExtensions.DeriveKey(
    sharedSecret,
    outputLength: 32);  // 256 Bit
 
// Con Salt e Context-Info
byte[] salt = RandomNumberGenerator.GetBytes(32);
byte[] info = Encoding.UTF8.GetBytes("MyApp-Session-Key");
 
byte[] sessionKey = KeyDerivationExtensions.DeriveKey(
    sharedSecret,
    outputLength: 32,
    salt: salt,
    info: info,
    hashAlgorithm: HashAlgorithmName.SHA384);  // Opzionale

HkdfExtract

Estrae PRK (Pseudorandom Key) da Input Key Material.

byte[] inputKeyMaterial = GetSharedSecret();
byte[] salt = RandomNumberGenerator.GetBytes(32);
 
byte[] prk = KeyDerivationExtensions.HkdfExtract(
    inputKeyMaterial,
    salt: salt,
    hashAlgorithm: HashAlgorithmName.SHA256);
 
// PRK ha la stessa lunghezza dell'output Hash (32 Bytes per SHA-256)

HkdfExpand

Espande PRK a Output Key Material.

byte[] prk = GetPrk();
 
// Encryption Key
byte[] encKey = KeyDerivationExtensions.HkdfExpand(
    prk,
    outputLength: 32,
    info: Encoding.UTF8.GetBytes("encryption"));
 
// MAC Key
byte[] macKey = KeyDerivationExtensions.HkdfExpand(
    prk,
    outputLength: 32,
    info: Encoding.UTF8.GetBytes("mac"));

Hybrid Key Derivation

Combina Shared Secrets classici (ECDH/DH) e PQ (ML-KEM).

DeriveHybridKey

byte[] ecdhSecret = GetEcdhSharedSecret();
byte[] mlKemSecret = GetMlKemSharedSecret();
 
// Modalita ibrida: entrambi i secrets vengono combinati
byte[] hybridKey = KeyDerivationExtensions.DeriveHybridKey(
    classicSecret: ecdhSecret,
    pqSecret: mlKemSecret,
    outputLength: 32,
    mode: CryptoMode.Hybrid);
 
// Solo classico
byte[] classicKey = KeyDerivationExtensions.DeriveHybridKey(
    classicSecret: ecdhSecret,
    pqSecret: null,
    outputLength: 32,
    mode: CryptoMode.Classic);
 
// Solo Post-Quantum
byte[] pqKey = KeyDerivationExtensions.DeriveHybridKey(
    classicSecret: null,
    pqSecret: mlKemSecret,
    outputLength: 32,
    mode: CryptoMode.PostQuantum);
 
// Custom Info
byte[] customKey = KeyDerivationExtensions.DeriveHybridKey(
    classicSecret: ecdhSecret,
    pqSecret: mlKemSecret,
    outputLength: 64,
    mode: CryptoMode.Hybrid,
    info: Encoding.UTF8.GetBytes("MyProtocol-v1"));

Combinazione chiavi:

Hybrid Mode:
  IKM = classicSecret || pqSecret
  Key = HKDF-SHA256(IKM, info="WvdS-Hybrid-Key")

DeriveHybridKeyMaterial

Deriva piu chiavi per scopi diversi.

using HybridKeyMaterial keyMaterial = KeyDerivationExtensions.DeriveHybridKeyMaterial(
    classicSecret: ecdhSecret,
    pqSecret: mlKemSecret,
    mode: CryptoMode.Hybrid);
 
// Utilizzo
byte[] encKey = keyMaterial.EncryptionKey;  // 32 Bytes
byte[] macKey = keyMaterial.MacKey;         // 32 Bytes
byte[] iv = keyMaterial.Iv;                 // 16 Bytes
byte[] authKey = keyMaterial.AuthKey;       // 32 Bytes
 
// IDisposable: le chiavi vengono cancellate in modo sicuro

PBKDF2 - Derivazione basata su password

Pbkdf2

string password = "SecurePassword123!";
byte[] salt = RandomNumberGenerator.GetBytes(32);
 
// PBKDF2 standard
byte[] key = KeyDerivationExtensions.Pbkdf2(
    password,
    salt,
    iterations: 100000,
    outputLength: 32);
 
// Con PQ-Entropy (protezione aggiuntiva)
byte[] pqEntropy = GetPqEntropy();
 
byte[] enhancedKey = KeyDerivationExtensions.Pbkdf2(
    password,
    salt,
    iterations: 100000,
    outputLength: 32,
    pqEntropy: pqEntropy,  // Viene combinato con Salt
    hashAlgorithm: HashAlgorithmName.SHA512);

Pbkdf2WithPqSalt

PBKDF2 con Salt rinforzato PQ (la chiave pubblica viene inclusa nel calcolo del Salt).

string password = "UserPassword";
byte[] baseSalt = RandomNumberGenerator.GetBytes(16);
byte[] mlKemPublicKey = GetRecipientPublicKey();
 
// Salt = SHA256(baseSalt || pqPublicKey)
byte[] key = KeyDerivationExtensions.Pbkdf2WithPqSalt(
    password,
    baseSalt,
    mlKemPublicKey,
    iterations: 100000,
    outputLength: 32);
Vantaggio: Anche con password e Base-Salt identici, si ottiene una chiave diversa per ogni destinatario (chiave pubblica PQ diversa).

Argon2id - Memory-Hard KDF

Argon2id via OpenSSL 3.6 - resistente agli attacchi GPU/ASIC.

Argon2id (Byte-Array)

byte[] password = Encoding.UTF8.GetBytes("SecurePassword");
byte[] salt = RandomNumberGenerator.GetBytes(16);  // Minimo 16 Bytes
 
byte[] key = KeyDerivationExtensions.Argon2id(
    password,
    salt,
    outputLength: 32,     // Lunghezza chiave
    iterations: 3,        // Costo temporale (t)
    memoryKiB: 65536,     // Memoria: 64 MB
    parallelism: 4);      // Thread (p)

Argon2id (String)

string password = "UserPassword123";
byte[] salt = RandomNumberGenerator.GetBytes(16);
 
byte[] key = KeyDerivationExtensions.Argon2id(
    password,
    salt,
    outputLength: 32,
    iterations: 3,
    memoryKiB: 65536,
    parallelism: 4);

Parametri raccomandati:

Applicazione Iterations (t) Memory (m) Parallelism (p)
Hashing password 3 64 MB 4
Alta sicurezza 4 256 MB 4
Low-Memory 4 16 MB 4

TLS Key Derivation

DeriveTlsKeys (stile TLS 1.2)

byte[] preMasterSecret = GetPreMasterSecret();
byte[] clientRandom = GetClientRandom();
byte[] serverRandom = GetServerRandom();
 
using TlsKeyMaterial keys = KeyDerivationExtensions.DeriveTlsKeys(
    preMasterSecret,
    clientRandom,
    serverRandom,
    mode: CryptoMode.Hybrid);
 
// Utilizzo
var clientKey = keys.ClientWriteKey;   // 32 Bytes
var serverKey = keys.ServerWriteKey;   // 32 Bytes
var clientIv = keys.ClientWriteIv;     // 12 Bytes
var serverIv = keys.ServerWriteIv;     // 12 Bytes

DeriveTls13Keys

Key Schedule compatibile TLS 1.3.

byte[]? pskSecret = null;  // Pre-Shared Key (opzionale)
byte[] ecdhSecret = GetEcdhSecret();
byte[] pqSecret = GetMlKemSecret();
byte[] clientHello = GetClientHelloBytes();
byte[] serverHello = GetServerHelloBytes();
 
using Tls13KeySchedule schedule = KeyDerivationExtensions.DeriveTls13Keys(
    pskSecret,
    ecdhSecret,
    pqSecret,
    clientHello,
    serverHello,
    mode: CryptoMode.Hybrid);
 
// Handshake Traffic Secrets
var clientHsSecret = schedule.ClientHandshakeTrafficSecret;
var serverHsSecret = schedule.ServerHandshakeTrafficSecret;
 
// Application Traffic Secrets
var clientAppSecret = schedule.ClientApplicationTrafficSecret;
var serverAppSecret = schedule.ServerApplicationTrafficSecret;
 
// Resumption Secret
var resumptionSecret = schedule.ResumptionMasterSecret;

Classi dati

HybridKeyMaterial

Contenitore per chiavi derivate con pulizia sicura della memoria.

Proprieta Tipo Lunghezza Descrizione
EncryptionKey byte[] 32 Chiave AES
MacKey byte[] 32 Chiave HMAC
Iv byte[] 16 Vettore di inizializzazione
AuthKey byte[] 32 Chiave di autenticazione
using HybridKeyMaterial keys = DeriveKeys();
 
// Le chiavi vengono cancellate in modo sicuro con Dispose()
// (CryptographicOperations.ZeroMemory)

TlsKeyMaterial

Materiale chiavi stile TLS 1.2.

Proprieta Tipo Descrizione
MasterSecret byte[] Master Secret 48 Bytes
ClientWriteKey byte[] Chiave di crittografia lato client
ServerWriteKey byte[] Chiave di crittografia lato server
ClientWriteIv byte[] IV lato client
ServerWriteIv byte[] IV lato server
ClientWriteMacKey byte[] MAC Key client (vuoto per GCM)
ServerWriteMacKey byte[] MAC Key server (vuoto per GCM)

Tls13KeySchedule

TLS 1.3 Key Schedule.

Proprieta Tipo Descrizione
ClientHandshakeTrafficSecret byte[]? Client Handshake Traffic Secret
ServerHandshakeTrafficSecret byte[]? Server Handshake Traffic Secret
ClientApplicationTrafficSecret byte[]? Client Application Traffic Secret
ServerApplicationTrafficSecret byte[]? Server Application Traffic Secret
ResumptionMasterSecret byte[]? Session Resumption Secret

Panoramica metodi

HKDF

Metodo Parametri Ritorno
DeriveKey byte[] sharedSecret, int outputLength, byte[]? salt, byte[]? info, HashAlgorithmName? byte[]
HkdfExtract byte[] ikm, byte[]? salt, HashAlgorithmName? byte[]
HkdfExpand byte[] prk, int outputLength, byte[]? info, HashAlgorithmName? byte[]

Hybrid

Metodo Parametri Ritorno
DeriveHybridKey byte[]? classicSecret, byte[]? pqSecret, int outputLength, CryptoMode, byte[]? info byte[]
DeriveHybridKeyMaterial byte[]? classicSecret, byte[]? pqSecret, CryptoMode HybridKeyMaterial

PBKDF2

Metodo Parametri Ritorno
Pbkdf2 string password, byte[] salt, int iterations, int outputLength, byte[]? pqEntropy, HashAlgorithmName? byte[]
Pbkdf2WithPqSalt string password, byte[] baseSalt, byte[] pqPublicKey, int iterations, int outputLength byte[]

Argon2id

Metodo Parametri Ritorno
Argon2id byte[] password, byte[] salt, int outputLength, int iterations, int memoryKiB, int parallelism byte[]
Argon2id string password, byte[] salt, int outputLength, int iterations, int memoryKiB, int parallelism byte[]

TLS

Metodo Parametri Ritorno
DeriveTlsKeys byte[] preMasterSecret, byte[] clientRandom, byte[] serverRandom, CryptoMode TlsKeyMaterial
DeriveTls13Keys byte[]? psk, byte[]? ecdh, byte[]? pq, byte[] clientHello, byte[] serverHello, CryptoMode Tls13KeySchedule

Esempio completo

using WvdS.System.Security.Cryptography;
using WvdS.System.Security.Cryptography.KeyDerivation;
using WvdS.System.Security.Cryptography.KeyExchange;
 
// 1. Eseguire Key Exchange
using var session = new KeyExchangeService();
await session.InitiateKeyExchangeAsync(recipientPublicKey, CryptoMode.Hybrid);
 
// 2. Derivare Hybrid Key Material
using HybridKeyMaterial keys = KeyDerivationExtensions.DeriveHybridKeyMaterial(
    classicSecret: session.ClassicSharedSecret,
    pqSecret: session.PqSharedSecret,
    mode: CryptoMode.Hybrid);
 
// 3. Utilizzare le chiavi
using var aes = Aes.Create();
aes.Key = keys.EncryptionKey;
 
using var hmac = new HMACSHA256(keys.MacKey);
 
// 4. Eseguire crittografia
// ...
 
// 5. Le chiavi vengono cancellate automaticamente in modo sicuro

Note di sicurezza

  • Tutte le classi IDisposable implementano CryptographicOperations.ZeroMemory
  • Argon2id richiede OpenSSL 3.6 (non disponibile in .NET BCL)
  • PBKDF2 con meno di 100.000 iterazioni non e raccomandato
  • Il Salt deve essere sempre casuale e sufficientemente lungo per PBKDF2/Argon2id (min. 16 Bytes)
Sicurezza modalita ibrida:

In modalita ibrida la chiave finale viene compromessa solo se ENTRAMBI i secrets (classico E PQ) vengono violati. Questo fornisce protezione sia contro attacchi classici che quantistici.

Vedi anche


Wolfgang van der Stille @ EMSR DATA d.o.o. - Post-Quantum Cryptography Professional

Zuletzt geändert: il 30/01/2026 alle 00:12