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Cryptography and Network Security

Cryptography and Network Security. Instructor: Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. 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 trapdoor 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. (from nptel.ac.in)

Lecture 30 - Factoring Algorithms

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Lecture 01 - Introduction

Lecture 02 - Overview on Modern Cryptography

Lecture 03 - Introduction to Number Theory

Lecture 04 - Probability and Information Theory

Lecture 05 - Classical Cryptosystems

Lecture 06 - Cryptanalysis of Classical Ciphers

Lecture 07 - Shannon's Theory

Lecture 08 - Shannon's Theory (cont.)

Lecture 09 - Shannon's Theory (cont.)

Lecture 10 - Symmetric Key Ciphers

Lecture 11 - Block Cipher Standards: DES (Data Encryption Standard)

Lecture 12 - Block Cipher Standards: AES (Advanced Encryption Standard)

Lecture 13 - Block Cipher Standards: AES (cont.)

Lecture 14 - Linear Cryptanalysis

Lecture 15 - Differential Cryptanalysis

Lecture 16 - Few Other Cryptanalytic Techniques

Lecture 17 - Overview on S-Box Design Principles

Lecture 18 - Modes of Operation of Block Ciphers

Lecture 19 - Stream Ciphers

Lecture 20 - Stream Ciphers (cont.)

Lecture 21 - Stream Ciphers (cont.)

Lecture 22 - Pseudorandomness

Lecture 23 - Cryptographic Hash Functions

Lecture 24 - Cryptographic Hash Functions (cont.)

Lecture 25 - Cryptographic Hash Functions (cont.)

Lecture 26 - Message Authentication Codes

Lecture 27 - More Number Theoretic Results

Lecture 28 - The RSA Cryptosystem

Lecture 29 - Primality Testing

Lecture 30 - Factoring Algorithms

Lecture 31 - Some Comments on the Security of RSA

Lecture 32 - Discrete Logarithm Problem (DLP)

Lecture 33 - The Diffie-Hellman Problem and Security of ElGamal Systems

Lecture 34 - An Introduction to Elliptic Curve Cryptography

Lecture 35 - Application of Elliptic Curves to Cryptography

Lecture 36 - Implementation of Elliptic Curve Cryptography

Lecture 37 - Secret Sharing Schemes

Lecture 38 - A Tutorial on Network Protocols

Lecture 39 - System Security

Lecture 40 - Firewalls and Intrusion Detection Systems

Lecture 41 - Side Channel Analysis of Cryptographic Implementations