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.
Lecturers
Rechberger
Professor