Official course description, subject to change:
Basic info last published 1/10-23

Cryptography

Course info
Language:
English
ECTS points:
7.5
Course code:
KSCRYPT1KU
Participants max:
40
Offered to guest students:
yes
Offered to exchange students:
yes
Offered as a single subject:
yes
Price for EU/EEA citizens (Single Subject):
10625 DKK
Programme
Level:
MSc. Master
Programme:
MSc in Computer Science
Staff
Course manager
Full Professor
Course semester
Semester
Forår 2024
Start
29 January 2024
End
23 August 2024
Exam
Abstract

This course provides an introduction to the fundamental concepts of cryptography, the practice of protecting information and securing communication in computer systems. We start with classical encryption techniques, and consider modern private-key and public-key crypto systems and study their security against eavesdroppers or attackers, who tamper with network traffic. The course is aimed at students with a background in computer science or mathematics, and will include both theoretical and programming exercises. 


Description

In Cryptography, you learn about basic cryptographic tools to secure data and computations, including private and public-key cryptography, and cryptographic protocols.  You will learn how to define what it means to be secure and relate different notions of security. More specifically: 

  • Perfectly secret encryption
  • Symmetric encryption and the computational model
  • Stream ciphers, pseudo-random functions, and reduction proofs
  • Block ciphers and message authentication  
  • Secure Hash functions
  • Practical constructions of symmetric-key primitives
  • Number theory and cryptographic hardness assumptions
  • El Gamal cryptosystem
  • Elliptic curve cryptography
  • Digital signatures
  • Key encapsulation mechanisms and TLS
  • Secret sharing


Formal prerequisites
Intended learning outcomes

After the course, the student should be able to:

  • Design and analyze cryptographic protocols for adversarial environments
  • Analyze basic cryptographic protocol designs in the computational model
  • Explain and apply proofs by reduction to prove the security of cryptographic constructions
  • Explain cryptanalysis and differential privacy
Ordinary exam
Exam type:
A: Written exam on premises, External (7-point scale)
Exam variation:
A33: Written exam on premises on paper with restrictions