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Introduction to Cryptography

1:17:24
2

Modular Arithmetic and Historical Ciphers

1:31:10
3

Stream Ciphers, Random Numbers and the One Time Pad

1:29:38
4

Stream Ciphers and Linear Feedback Shift Registers

1:29:39
5

Data Encryption Standard (DES): Encryption

1:33:36
6

Data Encryption Standard (DES): Key Schedule and Decryption

1:07:06
7

Introduction to Galois Fields for the AES

1:30:50
8

Advanced Encryption Standard (AES)

1:33:19
9

Modes of Operation for Block Ciphers

1:25:14
10

Multiple Encryption and Brute-Force Attacks

1:27:49
11

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

1:31:02
12

The RSA Cryptosystem and Efficient Exponentiation

1:28:27
13

Diffie-Hellman Key Exchange and the Discrete Log Problem

1:20:47
14

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

1:28:40
15

Elgamal Encryption Scheme

1:17:51
16

Introduction to Elliptic Curves

1:20:42
17

Elliptic Curve Cryptography (ECC)

1:26:31
18

Digital Signatures and Security Services

1:17:15
19

Elgamal Digital Signature

1:22:23
20

Hash Functions

1:05:04
21

SHA-1 Hash Function

1:18:35
22

SHA-3 Hash Function

1:38:17

Introduction to Galois Fields for the AES

Christof PaarDistinguishedRuhr University Bochum

Founding Director, Max Planck Institute for Security and Privacy

1:30:50·2014·undergraduate level

This lecture introduces the foundational algebraic structures of Galois Fields (finite fields) with direct application to the Advanced Encryption Standard (AES) algorithm. It systematically covers the construction and arithmetic of GF(2^8) essential for understanding AES operations.

MathematicsBio & NeuroNumber Theory & Abstract AlgebraAlgorithms & Data StructuresCryptographyGalois Fields

Interested in studying cybersecurity at the highest level? Bochum offers one of the most advanced academic environments for cybersecurity in Europe. The Max Planck Institute for Security and Privacy (MPI-SP) collaborates closely with the Horst Görtz Institute (HGI) at Ruhr University Bochum (RUB), where leading experts from across the field contribute through excellent teaching and pioneering research. Find out more at

Source: Introduction to Cryptography by Christof Paar via YouTubeWatch on YouTube
LecturerAll lecturers →
Christof PaarDistinguished

Founding Director, Max Planck Institute for Security and Privacy & RUB

Founding Director of the Max Planck Institute for Security and Privacy and co-author of Understanding Cryptography.

2 courses · 27 lecturesCanon
Previous · Lecture 6

Data Encryption Standard (DES): Key Schedule and Decryption

Next · Lecture 8

Advanced Encryption Standard (AES)

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