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Course Detail

Course Name Cryptography
Course Code 15CSE341
Program B. Tech. in Computer Science and Engineering
Year Taught 2019

Syllabus

Unit 1

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.

Unit 2

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.

Unit 3

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.

Text Books

  • Padmanabhan T R, Shyamala C K and Harini N, “Cryptography and Security”, First Edition, Wiley Publications, 2011.

Resources

  • Stallings W., “Cryptography and Network Security”, Third Edition, Pearson Education Asia, Prentice Hall, 2000.
  • Forouzan B. A., “Cryptography and Network Security”, Special Indian Edition, Tata McGraw Hill, 2007

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