Module MA5102

This Module is offered by TUM Department of Mathematics.

This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.

Basic Information

MA5102 is a semester module in English language at Master’s level which is offered irregular.

This module description is valid from WS 2010/1 to SS 2014.

Total workloadContact hoursCredits (ECTS)
180 h 60 h 6 CP

Content, Learning Outcome and Preconditions


Perfect Secrecy, Complexity and One-Way-Functions, Pohlig-Hellman-Cryptosystem, RSA-Cryptosystem, Primality Tests, Diffie-Hellman-, ElGamal- and Rabin-Cryptosystem, Discrete Logarithms, Factoring, Elliptic-Curve-Cryptography.

Learning Outcome

At the end of the module students are familiarized withvarious modern cryptosystems and the necessary basics in algebra. They are able to discuss the advantages and disadvantages of the systems.


MA2101 Algebra

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

VO 2 Kryptologie [MA5102] Karpfinger, C. Dienstag, 08:30–10:00
Freitag, 08:30–10:00
sowie einzelne oder verschobene Termine

Learning and Teaching Methods

Vorlesung, Übung, Übungsaufgaben zum Selbststudium




Ch. Karpfinger, H. Kiechle, Kryptologie, Vieweg+Teubner 2009.

Module Exam

Description of exams and course work

Mündliche Prüfung

Exam Repetition

There is a possibility to take the exam at the end of the semester.

Condensed Matter

When atoms interact things can get interesting. Fundamental research on the underlying properties of materials and nanostructures and exploration of the potential they provide for applications.

Nuclei, Particles, Astrophysics

A journey of discovery to understanding our world at the subatomic scale, from the nuclei inside atoms down to the most elementary building blocks of matter. Are you ready for the adventure?


Biological systems, from proteins to living cells and organisms, obey physical principles. Our research groups in biophysics shape one of Germany's largest scientific clusters in this area.