Quantum Cryptography and Post-Quantum Cryptography

15.

PQC Implementation and Deployment

15.1.

Performance Analysis

15.1.1.

Computational Complexity

15.1.1.1.

Key Generation Costs

15.1.1.2.

Encryption/Decryption Overhead

15.1.1.3.

Signature Generation and Verification

15.1.2.

Storage Requirements

15.1.2.1.

Public Key Sizes

15.1.2.2.

Private Key Sizes

15.1.2.3.

Ciphertext Expansion

15.1.2.4.

Signature Sizes

15.1.3.

Communication Overhead

15.1.3.1.

Bandwidth Requirements

15.1.3.2.

Protocol Efficiency Impact

15.2.

Software Implementation

15.2.1.

Cryptographic Libraries

15.2.1.1.

Open Source Implementations

15.2.1.2.

Commercial Solutions

15.2.1.3.

API Design Considerations

15.2.2.

Platform Optimization

15.2.2.1.

x86/x64 Optimizations

15.2.2.2.

ARM Implementations

15.2.2.3.

Embedded System Constraints

15.2.3.

Side-Channel Protection

15.2.3.1.

Constant-Time Implementations

15.2.3.2.

Masking Techniques

15.2.3.3.

Fault Attack Resistance

15.3.

Hardware Implementation

15.3.1.

FPGA Implementations

15.3.2.

ASIC Design Considerations

15.3.3.

Hardware Acceleration

15.3.4.

Embedded Security Modules

15.4.

Protocol Integration

15.4.1.

TLS Integration

15.4.1.1.

Handshake Modifications

15.4.1.2.

Certificate Formats

15.4.1.3.

Performance Impact

15.4.2.

VPN Integration

15.4.3.

SSH Protocol Updates

15.4.4.

Email Security Protocols

15.5.

Hybrid Cryptographic Systems

15.5.1.

Classical-PQC Combinations

15.5.2.

Security Benefits

15.5.3.

Performance Trade-offs

15.5.4.

Migration Strategies

15.5.5.

Fallback Mechanisms

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16. Cryptanalysis of Post-Quantum Schemes