Course

Foundations of Cryptography: Security goals and attacks, Computational security, Perfect secrecy, One-time pad and its limitations, Pseudorandom generators, Stream ciphers, Linear feedback shift registers (LFSRs), Cryptanalysis of linear generators.

Symmetric-Key Cryptography: Block ciphers, Pseudorandom functions and permutations (PRFs and PRPs), PRP under chosen plaintext attack and chosen ciphertext attack, Case study: DES, AES, modes of operation.

Message integrity: Cryptographic hash functions, message authentication code, CBC MAC and its security, Cryptographic hash functions based MACs. Authenticated Encryption-Authenticated encryption ciphers from generic composition,

Public key encryption: RSA, Diffie-Hellman key exchange protocol, ElGamal encryption, Elliptic curve cryptography.

Digital signatures: Generic signature schemes, RSA, ElGamal, and Rabin’s signature schemes, blind signatures, threshold signature schemes, ECDSA, Signcryption, Homomorphic encryption, Order preserving encryption, searchable encryption.

Prerequisites

Elementary Number Theory, Modular Arithmetic, Groups, Rings, Fields, Probability Basics.

Course Outcome

CO-PO Mapping

1. Douglas Robert Stinson, Maura Paterson. Cryptography: Theory and Practice (Textbooks in Mathematics). Fourth Edition. Chapman and Hall/CRC;2018.
2. Hoffstein, Jeffrey, Pipher, Jill, and Silverman, Joseph H., An Introduction to Mathematical Cryptography, 2nd Edition, Springer, New York, 2014.
3. Paar, Christof and Pelzl, Jan, Understanding Cryptography: A Textbook for Students and Practitioners, 2nd Edition, Springer, Berlin, 2024.
4. Boneh, Dan and Shoup, Victor, A Graduate Course in Applied Cryptography, Version 0.6, 2023.
5. Wade Trappe, Lawrence C Washington, Introduction to Cryptography with Coding Theory, Pearson, 2006
6. Abhijit Das and Veni Madhavan C. E., Public-Key Cryptography: Theory and Practice, Pearson Education India, 2009.