The Quantum Enhanced LWE system implements several security features:

1. Post-Quantum Security: Resistant to quantum computing attacks
2. Quantum Resonance Integration: Enhanced randomness through quantum circuits
3. Strong Key Generation: Secure key generation using quantum-enhanced processes
4. Error Resistance: Built-in error correction and noise handling

The system provides approximately 503 bits of post-quantum security with default parameters:

• Lattice dimension (n) = 256
• Modulus (q) = 4093
• Error distribution σ = 1.0
• Quantum resonance frequency = 4.40 GHz

1. Generate new keys for each session
2. Never reuse keypairs
3. Securely store private keys
4. Regularly rotate keys
5. Use secure channels for key distribution

1. Use secure random number generators
2. Implement proper error handling
3. Validate all inputs
4. Use constant-time operations where possible
5. Avoid side-channel leakage

1. Use recommended parameter sets
2. Maintain system entropy
3. Monitor system performance
4. Keep software updated
5. Use secure hardware when possible

Please report security issues to [email protected]

The system has been tested against:

• Chosen plaintext attacks
• Chosen ciphertext attacks
• Quantum attacks (Grover's algorithm)
• Side-channel attacks
• Timing attacks

We regularly update the security features and parameters based on:

1. New cryptographic research
2. Quantum computing advances
3. Discovered vulnerabilities
4. Community feedback

The system is designed to meet common security standards and best practices in cryptographic implementations.