Detailed information |
Original study plan |
Bachelor's programme Technical Mathematics 2022W |
Objectives |
Introduction to relevant number theoretic results and methods as well as overview of cryptography, in particular, public key cryptography
|
Subject |
After a brief introduction to number theory we discuss selected results from cryptography. In particular we discuss the most important public key schemes, RSA and Diffie-Hellman key-exchange, algorithms for attacking the integer factoring problem and the discrete logarithm problem as well as primality tests.
|
Criteria for evaluation |
depending on the number of participants either oral or written tests and homeworks
|
Methods |
blackboard talks; exercises to be discussed in the tutorials
|
Language |
English and French |
Study material |
Lecture notes are provided. For further reading we recommend in particular Chapter 2 of the textbook of H. Niederreiter and A. Winterhof: 'Applied Number Theory' as well as
N. Koblitz: 'A course in number theory and cryptography‘ and Chapter 2 of W. Willems: 'Codierungstheorie und Kryptographie'.
|
Changing subject? |
No |
Further information |
Until term 2020S known as: TM1WJUEKRYP UE Cryptography
|
Earlier variants |
They also cover the requirements of the curriculum (from - to) TM1WJUEKRYP: UE Cryptography (2003S-2020S)
|