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  2. 2025/26 spring
  3. Modern Cryptology (MTAT.07.002)
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Modern Cryptology 2025/26 spring

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Lecture notes (or sometimes a PowerPoint presentation) with the most essential information will be made available after each lecture.

See here for Lecture Notes

List of lectures.

Lectures

  • Lecture 1: Introduction (11.02) - Course organization, modern approach to crypto, encryption, one-time pad, perfect secrecy.
  • Lecture 2 Stream Ciphers (18.02) - Stream cipher, pseudorandom generator, intro to security proofs.
  • Lecture 3 Block Ciphers (25.02) - Real-world PRG, IND-CPA, pseudorandom permutation, block cipher, modes of operation
  • Lecture 4 Block Ciphers/Key Exchange (04.03) - Counter Mode, AES, Idea of key exchange, groups.
  • Lecture 5 Key Exchange (11.03) - More group theory, discrete logarithm assumption, Diffie-Hellman key exchange.
  • Lecture 6 Public Key Encryption (18.03) - Definition of PKE, IND-CPA security of PKE, Elgamal PKE, hybrid encryption, key encapsulation mechanism.
  • Lecture 7 Hash functions (25.03) - Collision resistance, Davies-Meyer construction, Merkle-Damgård construction, birthday attack.
  • Lecture 8 MACs and CCA Security (01.04) - Message authentication codes, simple construction, motivation for CCA, CCA definition.
  • Lecture 9 Authentication Protocols (08.04) - Private key CCA encryption, authentication protocol motivation, Schnorr's protocol, proof sketch.
  • Lecture 10 Digital Signatures (15.04) - EUF-CMA security, Schnorr's signature, random oracle model, public key infrastructure.
  • Lecture 11 Zero-knowledge Proofs (22.04) - Idea of zero-knowledge proof, Sigma protocols, Sigma protocol for encryption of 0.
  • Lecture 12 Zero-knowledge Proofs II (29.04) - Sigma protocol for encryption of 1, OR-proof.
  • Lecture 13 Secret Sharing (06.05) - Additive secret sharing, Shamir's secret sharing.
  • Lecture 14 Secure Computation (13.05) - High-level view of MPC, 2-party secure computation, Beaver's triples.
  • Lecture 15 Post-Quantum Crypto by Urmas (20.05) - Quantum threat, LWE assumption and encryption.
  • Lecture 16 Everything else (27.05) -
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