Mathematical Foundations of Cryptography

Course Number 705103 | Wintersemester 2020/21

Content

This course aims at explaining the following mathematical concepts,
which are important in modern-day cryptography:

  • Groups, Rings, Fields
  • Finite Fields
  • Gröbner Bases
  • Elliptic Curves
  • Discrete Logarithm
  • Lattices

Material

Date Lecture (10:00–12:00) Who
08.10.2020 L0 – Introduction LH

Administrative Information

Previous Knowledge

No specific knowledge required. Basic mathematical competence in Linear Algebra and Discrete Mathematics is of advantage.

Prerequisites Curriculum

See position in the curriculum.

Objective

In this course, you will …

  • …discuss mathematical concepts behind modern cryptography.
  • …have hands-on opportunity to analyze these concepts.
  • …get insight into selected topics of cryptographic research.

Language

English

Teaching Method

Lecturing, work on individual topics, collaborating, classroom discussions

Registration

See Course registration in TUGOnline.

Lecturers

Christian Rechberger
Christian
Rechberger

Professor

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Lukas Helminger
Lukas
Helminger

PhD Student

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Reinhard Lüftenegger
Reinhard
Lüftenegger

PhD Student

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