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1

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

Elgamal Digital Signature

Christof PaarDistinguishedRuhr University Bochum

Professor

1:22:23·2014·undergraduate level

This lecture thoroughly explains the Elgamal Digital Signature scheme, detailing its signing and verification processes and its security properties based on the discrete logarithm problem.

Theory & AlgosBio & NeuroCryptographyNeuroscience & CognitionElgamal SignatureDigital Signatures

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 https://informatik.rub.de/en/studies/its/.

We are also continuously seeking outstanding young researchers interested in joining our growing teams at both the MPI-SP and RUB.

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
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Digital Signatures and Security Services

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Hash Functions

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