Post-Quantum Cryptography (212065-WS 26/27)

This lecture will cover methods in post-quantum cryptographic protocols focusing on lattices.

Topics (preliminary list):

1. Lattices and Their Mathematical Foundations
2. SIS and Collision-Resistant Hashing
3. Learning With Errors
4. Public-Key Encryption from LWE
5. Polynomial Rings and Module Lattices
6. Module-LWE Encryption
7. CCA-Secure Key Encapsulation
8. Lattice Trapdoors and Short-Preimage Sampling: Foundations
9. Micciancio–Peikert Trapdoors
10. GPV Signatures
11. Fiat–Shamir with Aborts
12. Construction Principles Behind ML-DSA
13. Homomorphic Encryption from LWE
14. Identity-Based Encryption from Lattices