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Cryptography and Network Security

IIT Kharagpur Course , Prof. Debdeep Mukhopadhyay       Subscribe to feed

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Lecture 29: Mod-01 Lec-29 Primality Testing

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Lecture Details :

Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in

Course Description :

The course deals with the underlying principles of cryptography and network security. It develops the mathematical tools required to understand the topic of cryptography.
Starting from the classical ciphers to modern day ciphers, the course provides an extensive coverage of the techniques and methods needed for the proper functioning of the ciphers.
The course deals with the construction and cryptanalysis of block ciphers, stream ciphers and hash functions.
The course defines one way functions and trap-door functions and presents the construction and cryptanalysis of public key ciphers, namely RSA.
The key exchange problem and solutions using the Diffie-Hellman algorithm are discussed. Message Authentication Codes (MAC) and signature schemes are also detailed.
The course deals with modern trends in asymmetric key cryptography, namely using Elliptic Curves. The course concludes with the design rationale of network protocols for key exchange and attacks on such protocols.

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  1. Mod-01 Lec-01 Introduction
  2. Mod-01 Lec-02 Overview on Modern Cryptography
  3. Mod-01 Lec-03 Introduction to Number Theory
  4. Mod-01 Lec-04 Probability and Information Theory
  5. Mod-01 Lec-05 Classical Cryptosystems
  6. Mod-01 Lec-06 Cryptanalysis of Classical Ciphers
  7. Mod-01 Lec-07 Shannons Theory
  8. Mod-01 Lec-08 Shannons Theory (Contd...1)
  9. Mod-01 Lec-09 Shannons Theory (Contd...2)
  10. Mod-01 Lec-10 Symmetric Key Ciphers
  11. Mod-01 Lec-11 Block Cipher Standards (DES)
  12. Mod-01 Lec-12 Block Cipher Standards (AES)
  13. Mod-01 Lec-13 Block Cipher Standards (AES) (Contd.)
  14. Mod-01 Lec-14 Linear Cryptanalysis
  15. Mod-01 Lec-15 Differential Cryptanalysis
  16. Mod-01 Lec-16 Few other Cryptanalytic Techniques
  17. Mod-01 Lec-17 Overview on S-Box Design Principles
  18. Mod-01 Lec-18 Modes of Operation of Block Ciphers
  19. Mod-01 Lec-19 Stream Ciphers
  20. Mod-01 Lec-20 Stream Ciphers (Contd...1)
  21. Mod-01 Lec-21 Stream Ciphers (Contd...2)
  22. Mod-01 Lec-22 Pseudorandomness
  23. Mod-01 Lec-23 Cryptographic Hash Functions
  24. Mod-01 Lec-24 Cryptographic Hash Functions (Contd...1)
  25. Mod-01 Lec-25 Cryptographic Hash Functions (Contd...2)
  26. Mod-01 Lec-26 Message Authentication Codes
  27. Mod-01 Lec-27 More Number Theoretic Results
  28. Mod-01 Lec-28 The RSA Cryptosystem
  29. Mod-01 Lec-29 Primality Testing
  30. Mod-01 Lec-30 Factoring Algorithms
  31. Mod-01 Lec-31 Some Comments on the Security of RSA
  32. Mod-01 Lec-32 Discrete Logarithm Problem (DLP)
  33. Mod-01 Lec-33 The Diffie-Hellman Problem and Security of ElGamal Systems
  34. Mod-01 Lec-34 An Introduction to Elliptic Curve Cryptography
  35. Mod-01 Lec-35 Application of Elliptic Curves to Cryptography
  36. Mod-01 Lec-36 Implementation of Elliptic Curve Cryptography
  37. Mod-01 Lec-37 Secret Sharing Schemes
  38. Mod-01 Lec-38 A Tutorial on Network Protocols
  39. Mod-01 Lec-39 System Security
  40. Mod-01 Lec-40 Firewalls and Intrusion Detection Systems
  41. Mod-01 Lec-41 Side Channel Analysis of Cryptographic Implementations