Chapter 9: Advanced Cryptography
Difficulty Level: 🔴 Advanced
Estimated Learning Time: 6-7 hours
Chapter Objectives:
- Explore cutting-edge cryptographic technologies
- Understand zero-knowledge proofs
- Learn multi-party computation
- Master post-quantum cryptography
9.1 Zero-Knowledge Proofs
Prove knowledge of information without revealing the information itself.
zk-SNARKs
Zero-Knowledge Succinct Non-Interactive Arguments of Knowledge
- Used in Zcash for private transactions
- Requires trusted setup
zk-STARKs
Zero-Knowledge Scalable Transparent Arguments of Knowledge
- No trusted setup required
- Larger proof sizes
9.2 Secure Multi-Party Computation (MPC)
Multiple parties jointly compute a function while keeping inputs private.
9.3 Threshold Signatures
Distribute signing power across multiple parties (m-of-n).
9.4 Homomorphic Encryption
Perform computations on encrypted data without decrypting.
9.5 Verifiable Random Functions (VRF)
Generate provably random and verifiable outputs.
9.6 Post-Quantum Cryptography
Cryptography resistant to quantum computer attacks.