Table of contents

Post-Quantum Cryptography

From cryptographic foundations to secure deployment in a quantum-capable world

Read each section in order. Every title can be opened as a TheoryTrace document.

• Cover
• Copyright
• How to read this book
• Introduction
• Chapter 1: The Quantum Threat Model
• Chapter 2: Cryptographic Foundations
• Chapter 3: Symmetric Cryptography in a Post-Quantum World
• Chapter 4: Mathematical Tools for Post-Quantum Cryptography
• Chapter 5: Security Definitions and Proofs
• Chapter 6: Key Encapsulation Mechanisms
• Chapter 7: Digital Signatures
• Chapter 8: Lattice-Based Cryptography
• Chapter 9: CRYSTALS-Kyber and ML-KEM
• Chapter 10: CRYSTALS-Dilithium and ML-DSA
• Chapter 11: Falcon and NTRU-Style Signatures
• Chapter 12: Hash-Based Signatures
• Chapter 13: Code-Based Cryptography
• Chapter 14: Multivariate Cryptography
• Chapter 15: Isogeny-Based Cryptography and Its Lessons
• Chapter 16: NIST Standardization and the Post-Quantum Ecosystem
• Chapter 17: Implementing Post-Quantum Cryptography Safely
• Chapter 18: Protocol Integration
• Chapter 19: Migration Strategy for Organizations
• Chapter 20: Performance, Benchmarking, and Engineering Trade-Offs
• Chapter 21: Advanced Attacks and Cryptanalysis
• Chapter 22: Building and Auditing a Post-Quantum System
• Conclusion