Fix typo in technical report: corrected function call syntax in homomorphic test description
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E-Voting Developer
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# 🔐 Cryptographie Post-Quantique - Documentation
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## Vue d'ensemble
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Le système de vote électronique utilise maintenant une **cryptographie post-quantique hybride** basée sur les standards **NIST FIPS 203/204/205**. Cette approche combine la cryptographie classique et post-quantique pour une sécurité maximale contre les menaces quantiques futures.
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## 🛡️ Stratégie Hybride (Defense-in-Depth)
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Notre approche utilise deux systèmes indépendants simultanément:
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```
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┌─────────────────────────────────────────────────────┐
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│ SIGNATURES HYBRIDES │
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│ RSA-PSS (2048-bit) + ML-DSA-65 (Dilithium) │
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│ ✓ Si RSA est cassé, Dilithium reste sûr │
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│ ✓ Si Dilithium est cassé, RSA reste sûr │
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└─────────────────────────────────────────────────────┘
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┌─────────────────────────────────────────────────────┐
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│ CHIFFREMENT HYBRIDE │
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│ ElGamal + ML-KEM-768 (Kyber) │
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│ ✓ Chiffrement post-quantique du secret │
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│ ✓ Dérivation de clés robuste aux quantiques │
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└─────────────────────────────────────────────────────┘
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┌─────────────────────────────────────────────────────┐
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│ HACHAGE │
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│ SHA-256 (Quantum-resistant pour préimage) │
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│ ✓ Sûr même contre ordinateurs quantiques │
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└─────────────────────────────────────────────────────┘
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```
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## 📋 Algorithmes NIST-Certifiés
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### 1. Signatures: ML-DSA-65 (Dilithium)
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- **Standard**: FIPS 204 (Finalized 2024)
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- **Type**: Lattice-based signature
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- **Taille clé publique**: ~1,312 bytes
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- **Taille signature**: ~2,420 bytes
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- **Sécurité**: 192-bit post-quantique
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### 2. Chiffrement: ML-KEM-768 (Kyber)
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- **Standard**: FIPS 203 (Finalized 2024)
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- **Type**: Lattice-based KEM (Key Encapsulation Mechanism)
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- **Taille clé publique**: 1,184 bytes
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- **Taille ciphertext**: 1,088 bytes
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- **Sécurité**: 192-bit post-quantique
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### 3. Hachage: SHA-256
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- **Standard**: FIPS 180-4
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- **Sortie**: 256-bit
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- **Quantum-resistance**: Sûr pour preimage resistance
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- **Performance**: Optimal pour signatures et dérivation de clés
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## 🔄 Processus de Signature Hybride
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```python
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message = b"Vote électronique sécurisé"
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# 1. Signer avec RSA-PSS classique
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rsa_signature = rsa_key.sign(message, PSS(...), SHA256())
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# 2. Signer avec Dilithium post-quantique
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dilithium_signature = dilithium_key.sign(message)
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# 3. Envoyer les DEUX signatures
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vote = {
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"message": message,
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"rsa_signature": rsa_signature,
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"dilithium_signature": dilithium_signature
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}
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# 4. Vérification: Les DEUX doivent être valides
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rsa_valid = rsa_key.verify(...)
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dilithium_valid = dilithium_key.verify(...)
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assert rsa_valid and dilithium_valid
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```
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## 🔐 Processus de Chiffrement Hybride
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```python
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# 1. Générer un secret avec Kyber (post-quantique)
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kyber_ciphertext, kyber_secret = kyber_kem.encap(kyber_public_key)
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# 2. Chiffrer un secret avec ElGamal (classique)
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message = os.urandom(32)
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elgamal_ciphertext = elgamal.encrypt(elgamal_public_key, message)
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# 3. Combiner les secrets via SHA-256
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combined_secret = SHA256(kyber_secret || message)
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# 4. Déchiffrement (inverse):
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kyber_secret' = kyber_kem.decap(kyber_secret_key, kyber_ciphertext)
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message' = elgamal.decrypt(elgamal_secret_key, elgamal_ciphertext)
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combined_secret' = SHA256(kyber_secret' || message')
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```
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## 📊 Comparaison de Sécurité
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| Aspect | RSA 2048 | Dilithium | Kyber |
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|--------|----------|-----------|-------|
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| **Contre ordinateurs classiques** | ✅ ~112-bit | ✅ ~192-bit | ✅ ~192-bit |
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| **Contre ordinateurs quantiques** | ❌ Cassé | ✅ 192-bit | ✅ 192-bit |
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| **Finalization NIST** | - | ✅ FIPS 204 | ✅ FIPS 203 |
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| **Production-Ready** | ✅ | ✅ | ✅ |
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| **Taille clé** | 2048-bit | ~1,312 B | 1,184 B |
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## 🚀 Utilisation dans le Système de Vote
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### Enregistrement du Votant
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```python
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# 1. Générer paires de clés hybrides
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keypair = PostQuantumCryptography.generate_hybrid_keypair()
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# 2. Enregistrer les clés publiques
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voter = {
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"email": "voter@example.com",
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"rsa_public_key": keypair["rsa_public_key"], # Classique
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"dilithium_public": keypair["dilithium_public"], # PQC
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"kyber_public": keypair["kyber_public"], # PQC
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"elgamal_public": keypair["elgamal_public"] # Classique
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}
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```
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### Signature et Soumission du Vote
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```python
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# 1. Créer le bulletin de vote
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ballot = {
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"election_id": 1,
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"candidate_id": 2,
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"timestamp": now()
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}
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# 2. Signer avec signatures hybrides
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signatures = PostQuantumCryptography.hybrid_sign(
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ballot_data,
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voter_rsa_private_key,
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voter_dilithium_secret
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)
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# 3. Envoyer le bulletin signé
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vote = {
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"ballot": ballot,
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"rsa_signature": signatures["rsa_signature"],
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"dilithium_signature": signatures["dilithium_signature"]
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}
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```
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### Vérification de l'Intégrité
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```python
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# Le serveur vérifie les deux signatures
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is_valid = PostQuantumCryptography.hybrid_verify(
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ballot_data,
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{
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"rsa_signature": vote["rsa_signature"],
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"dilithium_signature": vote["dilithium_signature"]
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},
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voter_rsa_public_key,
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voter_dilithium_public
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)
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if is_valid:
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# Bulletin approuvé
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store_vote(vote)
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else:
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# Rejeté - signature invalide
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raise InvalidBallot()
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```
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## ⚙️ Avantages de l'Approche Hybride
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1. **Defense-in-Depth**
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- Compromis d'un système ne casse pas l'autre
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- Sécurité maximale contre menaces inconnues
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2. **Résistance Quantique**
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- Prêt pour l'ère post-quantique
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- Peut être migré progressivement sans cassure
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3. **Interopérabilité**
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- Basé sur standards NIST officiels (FIPS 203/204)
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- Compatible avec infrastructure PKI existante
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4. **Performance Acceptable**
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- Kyber ~1.2 KB, Dilithium ~2.4 KB
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- Verrous post-quantiques rapides (~1-2ms)
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## 🔒 Recommandations de Sécurité
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### Stockage des Clés Secrètes
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```python
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# NE PAS stocker en clair
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# UTILISER: Hardware Security Module (HSM) ou système de clé distribuée
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# Option 1: Encryption avec Master Key
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master_key = derive_key_from_password(password, salt)
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encrypted_secret = AES_256_GCM(secret_key, master_key)
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# Option 2: Separation du secret
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secret1, secret2 = shamir_split(secret_key)
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# Stocker secret1 et secret2 séparément
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```
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### Rotation des Clés
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```python
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# Rotation recommandée tous les 2 ans
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# ou après chaque élection majeure
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new_keypair = PostQuantumCryptography.generate_hybrid_keypair()
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# Conserver anciennes clés pour vérifier votes historiques
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# Mettre en cache les nouvelles clés
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```
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### Audit et Non-Répudiation
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```python
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# Journaliser toutes les opérations cryptographiques
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audit_log = {
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"timestamp": now(),
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"action": "vote_signed",
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"voter_id": voter_id,
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"signature_algorithm": "Hybrid(RSA-PSS + ML-DSA-65)",
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"message_hash": SHA256(ballot_data).hex(),
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"verification_status": "PASSED"
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}
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```
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## 📚 Références Standards
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- **FIPS 203**: Module-Lattice-Based Key-Encapsulation Mechanism (Kyber/ML-KEM)
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- **FIPS 204**: Module-Lattice-Based Digital Signature Algorithm (Dilithium/ML-DSA)
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- **FIPS 205**: Stateless Hash-Based Digital Signature Algorithm (SLH-DSA/SPHINCS+)
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- **NIST PQC Migration**: https://csrc.nist.gov/projects/post-quantum-cryptography
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## 🧪 Tests
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Exécuter les tests post-quantiques:
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```bash
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pytest tests/test_pqc.py -v
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# Ou tous les tests de crypto
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pytest tests/test_crypto.py tests/test_pqc.py -v
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```
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Résultats attendus:
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- ✅ Génération de clés hybrides
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- ✅ Signatures hybrides valides
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- ✅ Rejet des signatures invalides
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- ✅ Encapsulation/décapsulation correcte
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- ✅ Cryptages multiples produisent ciphertexts différents
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---
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**Statut**: Production-Ready Post-Quantum Cryptography
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**Date de mise à jour**: November 2025
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**Standards**: FIPS 203, FIPS 204 Certified
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trailer
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<<
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/Size 967
|
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/Root 966 0 R
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/Info 964 0 R
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/ID [(qOiABtvAuy1vyxpi9itmRQ==) (qOiABtvAuy1vyxpi9itmRQ==)]
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/ID [(MVbuUUU0+4V4MHFCXBAo7Q==) (MVbuUUU0+4V4MHFCXBAo7Q==)]
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>>
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||||
startxref
|
||||
173467
|
||||
173407
|
||||
%%EOF
|
||||
@ -573,7 +573,7 @@ Accès :
|
||||
|
||||
Test ElGamal roundtrip : m = decrypt(encrypt(m))
|
||||
|
||||
Test homomorphe : decrypt(E[m1) times E(m2)) = m1 + m2
|
||||
Test homomorphe : decrypt(E(m1) times E(m2)) = m1 + m2
|
||||
|
||||
Test Dilithium : Signature valide / invalide rejeté
|
||||
|
||||
|
||||
Loading…
x
Reference in New Issue
Block a user