Quantum Cryptography and Post-Quantum Cryptography

  1. PQC Implementation and Deployment
    1. Performance Analysis
      1. Computational Complexity
        1. Key Generation Costs
          1. Encryption/Decryption Overhead
            1. Signature Generation and Verification
            2. Storage Requirements
              1. Public Key Sizes
                1. Private Key Sizes
                  1. Ciphertext Expansion
                    1. Signature Sizes
                    2. Communication Overhead
                      1. Bandwidth Requirements
                        1. Protocol Efficiency Impact
                      2. Software Implementation
                        1. Cryptographic Libraries
                          1. Open Source Implementations
                            1. Commercial Solutions
                              1. API Design Considerations
                              2. Platform Optimization
                                1. x86/x64 Optimizations
                                  1. ARM Implementations
                                    1. Embedded System Constraints
                                    2. Side-Channel Protection
                                      1. Constant-Time Implementations
                                        1. Masking Techniques
                                          1. Fault Attack Resistance
                                        2. Hardware Implementation
                                          1. FPGA Implementations
                                            1. ASIC Design Considerations
                                              1. Hardware Acceleration
                                                1. Embedded Security Modules
                                                2. Protocol Integration
                                                  1. TLS Integration
                                                    1. Handshake Modifications
                                                      1. Certificate Formats
                                                        1. Performance Impact
                                                        2. VPN Integration
                                                          1. SSH Protocol Updates
                                                            1. Email Security Protocols
                                                            2. Hybrid Cryptographic Systems
                                                              1. Classical-PQC Combinations
                                                                1. Security Benefits
                                                                  1. Performance Trade-offs
                                                                    1. Migration Strategies
                                                                      1. Fallback Mechanisms

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                                                                    14. NIST Post-Quantum Cryptography Standardization

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                                                                    16. Cryptanalysis of Post-Quantum Schemes