Course

Syllabus

Stream Ciphers & Randomness: Cryptographically secure pseudorandom generators (CSPRNGs) Basic Security principles, Linear Feedback Shift Registers (LFSRs) and their cryptanalysis

Block Ciphers & Symmetric Encryption: Introduction to Pseudorandom Functions (PRFs) and Pseudorandom Permutations (PRPs),Adversarial Models (KOA, KPA, CPA, CCA), Advanced Encryption Standard (AES) – structure and security, Modes of operation: CBC mode, CTR mode, OFBmode, GCM (Galois/Counter Mode)

Message Integrity & Authentication:

Cryptographic hash functions: Security properties, SHA-2, SHA-3 (Keccak), SHAKE

Message Authentication Codes (MACs), Authenticated Encryption, Introduction to hash-based data structures, Password hashing

Authenticated Encryption (AEAD): AES-GCM

Public-Key Cryptography: Hardness assumptions: Integer factorization, Discrete logarithm problem (DLP), Diffie-Hellman key exchange, RSA, ElGamal encryption, Elliptic Curve Cryptography (ECC), Introduction to post-quantum encyption/KEM

Digital Signatures: Security notions and types of forgery, RSA signatures, ElGamal& DSA, Elliptic Curve Digital Signature Algorithm (ECDSA),

Introduction to Emerging & Advanced Topics: Post-quantum cryptography (standardization efforts), Fully homomorphic encryption (FHE), Secure Multi-Party Computation (MPC), Differential privacy, trusted execution environments (TEE), Cryptography in AI/ML security, Privacy-preserving technologies

Text Books / References

Text Books / References:

1. J. Menezes, P. C. V. Oorschot and S. A. Vanstone, Handbook of Applied Cryptography, CRC Press, 1996.
2. J. Katz and Y. Lindell, Introduction to Modern Cryptography, Chapman & Hall/CRC, 2007.
3. Abhijit Das and Veni Madhavan C. E., Public-Key Cryptography: Theory and Practice, Pearson Education India, 2009.
4. Stinson, Douglas R. Cryptography: theory and practice. Chapman and Hall/CRC, 4ed, 2019.
5. Dan Boneh and Victor Shoup, A Graduate Course in Applied Cryptography, V4, 2017