Mathematical Foundations of Cryptography
Table of Content
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 | Introduction L01 – Groups Proofs |
LH |
| 15.10.2020 | L02 – Rings | LH |
| 22.10.2020 | L03 – Fields and Finite Fields | RL |
| 29.10.2020 | L04 – Elliptic Curves | RL |
| 12.11.2020 | L05 – Discrete Logarithm | LH |
| 26.11.2020 & 03.12.2020 | L06 & L07 – Gröbner Bases | RL |
| 10.12.2020 | L08 – Lattices | LH |
| 17.12.2020 | L09 – Lattices Crypto | LH | 14.01.2020 |
Cube Attacks SIDH |
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.
