| Course Name | Cryptography |
| Course Code | 15CSE341 |
| Program | B. Tech. in Computer Science and Engineering (CSE) |
| Year Taught | 2019 |
Basics of Number theory – Integers and Operations on Integers – Modular arithmetic – Prime Numbers – Primality related properties and Algorithms – Pseudo Random Number Generation. Classical Cryptography: Basic conventions and Terminology – Substitution Ciphers -Transposition ciphers – Rotor machines – Cryptanalysis.
Foundations of Modern Cryptography – Perfect Secrecy – Information and Entropy – Source Coding, Channel Coding, and Cryptography – Product cryptosystems. Symmetric Cryptosystems: Substitution permutation networks DES and Enhancements – AES and its Modes. Asymmetric Key Cryptography: Basic Ideas of Asymmetric Key Cryptography – RSA Cryptosystem.
Primality Testing – Square root modulo m-Factorization Algorithms – Attacks on RSA – Rabin Cryptosystem – Discrete Logarithm Problem and related Algorithms – ElGamal Cryptosystem – Introduction to Elliptic Curve Cryptography – Hash Functions and Message Authentication: Data Integrity – Security of Hash functions – Iterated Hash Functions – Message Authentication.
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