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
Semester: WT 2026/27