Algorithmic Number Theory - SS 2004

Final exam: Friday, 23.7.

You can get your certificate for this lecture from Ellen Fries, room 402.


Lecture: Tuesday, 11.15 - 12.45

Discussion Section:  Friday 11.15 - 12:45

Location: Lecture Room 024, Building 46 MPI

Course Language: English

Credit Points: 6


Topics:

Euclidean Algorithm and Continued Fractions
Lattices and the LLL Algorithm, Factoring Rational Polynomials
Primes, Primality Tests and Factorization
Public Key Cryptography
The Subset Sum Problem and Breaking Knapsack Cryptosystems
Discrete Logarithm

Literature:

Von zur Gathen, Gerhard: Modern Computer Algebra
Shoup: A Computational Introduction to Number Theory and Algebra
Buchmann: Introduction to Cryptography

Grading:

20% exercises, 40% midterm, 40% final
50% of exercise points until midterm date are required for admittance to midterm
50% of total exercise points and successful participation in midterm are required for final


Exercise:

Exercise 1
Exercise 2 (blackboard assignment)
Exercise 3
Exercise 4
Exercise 5