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Introduction to Cryptography and Data Security

Introduction to Cryptography and Data Security (Ruhr University Bochum). Instructor: Professor Christof Paar. This is a series of lectures on cryptography that was taught in the 2010/2011 academic year at Ruhr University Bochum. The lectures give a fairly comprehensive introduction to modern applied cryptography. Topics include: Advanced Encryption Standard (AES), Data Encryption Standard (DES), RSA Cryptosystem, Diffie-Hellman Key Exchange, Elliptic Curve Cryptography (ECC), Digital Signatures, and the SHA hash function family.

Lecture 16 - Introduction to Elliptic Curves

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Lecture 01 - Introduction to Cryptography

Lecture 02 - Modular Arithmetic and Historical Ciphers

Lecture 03 - Stream Ciphers, Random Numbers and One Time Pad

Lecture 04 - Stream Ciphers and Linear Feedback Shift Registers

Lecture 05 - Data Encryption Standard (DES): Encryption

Lecture 06 - Data Encryption Standard (DES): Key Schedule and Decryption

Lecture 07 - Introduction to Galois Fields for the AES

Lecture 08 - Advanced Encryption Standard (AES)

Lecture 09 - Modes of Operation for Block Ciphers

Lecture 10 - Multiple Encryption and Brute-Force Attacks

Lecture 11 - Number Theory for PKC: Euclidean Algorithm, Euler's Phi Function & Euler's Theorem

Lecture 12 - The RSA Cryptosystem and Efficient Exponentiation

Lecture 13 - Diffie-Hellman Key Exchange and the Discrete Log Problem

Lecture 14 - The Generalized Discrete Log Problem and the Security of Diffie-Hellman

Lecture 15 - Elgamal Encryption Scheme

Lecture 16 - Introduction to Elliptic Curves

Lecture 17 - Elliptic Curve Cryptography (ECC)

Lecture 18 - Digital Signatures and Security Services

Lecture 19 - Elgamal Digital Signature

Lecture 20 - Hash Functions

Lecture 21 - SHA-1 Hash Function

Lecture 22 - MAC (Message Authentication Codes) and HMAC

Lecture 23 - Symmetric Key Establishment and Kerberos

Lecture 24 - Man-in-the-middle Attack, Certificates and PKI