Modern Cryptology

Modern Cryptology (CS641) Semester II, 2017-18 at IIT Kanpur (co-taught with Prof. Manindra Agrawal)

Course Contents:

1. Basic Understanding of Cryptography (Secret Key)
   • Introduction, Some Simple Cryptosystems (Caesar Cipher, Vigenere Cipher, Substitution Cipher, Permutation Cipher etc.) and their Cryptanalysis.
   • OTP, Perfect Secrecy (Shannon’s Theory) and other Security Notions.
   • Block Ciphers and their analysis.
   • Modes of Operations, Stream Ciphers.
   • Hash Function and their Applications in Cryptography.
   • Authentication and Authentication Encryption.
2. Public Key Cryptography
   • Key Exchange Protocols, PKCs (RSA, ElGamal).
   • Computationally Hard Mathematical Problems and their State-of-the-art (DLP, DHP, RSA Factorization Problem, Lattice Problems).
   • Curve-based cryptography.
   • Digital Signatures and Identification Schemes.
   • Security Notions in Public Key Setting.
   • PKI (Https), TLS, Secret Sharing, Broadcast Encryption, Fingerprinting etc..
3. Modern Aspects of Cryptography and Post Quantum Cryptography (Basic Notions )
   • Multi-party Computation, Zero-Knowledge Proof of Knowledge, IBE, ABE, FE, OT, FHE, IO, Cryptocurrencies (Block-Chains).
   • Post Quantum Cryptography (Lattice based, Isogeny based, Hash based.)
4. Assignments and Research Problems.

Books and References:

• Bruce Schneier. Applied Cryptography: Protocols, Algorithms, and Source Code in C.
• A. J. Menezes, P. C. van Oorshot and S. A. Vanstone.Handbook of Applied Cryptography.
• Douglas Stinson. Cryptography: Theory and Practice.
• Jonathan Katz and Yehuda Lindell. Introduction to Modern Cryptography.
• Research Papers.

Other Relevant Stuffs:

1. DATA ENCRYPTION STANDARD (DES)
2. Differential Cryptanalysis of the Data Encryption Standard
3. ADVANCED ENCRYPTION STANDARD (AES)-1
4. ADVANCED ENCRYPTION STANDARD (AES)-2
5. Block cipher Modes of Operation