Aalborg Universitet

Contact: Diego Ruano.

Registration and further information.

Literature: Bibliography.

Schedule:

Monday December 10th, 8:15-12:00: We will construct finite fields and study its arithmetic.

Wednesday December 12th, 8:15-12:00: Finite fields in computer algebra systems. Irreducible polynomials, Conway polynomials.

Friday December 14th, 8:15-12:00. Polynomial functions. Berlekampâ€™s algorithm. Multiplication of polynomials.

Tuesday December 18th, 12:30-16:15. Application: secret sharing, steganography.

Wednesday December 19th, 8:15-12:00: Linearized polynomials. Application: Kötter-Kschischang codes for networks.

Friday December 21st, 8:15-12:00: Evaluation: student's presentation of selected exercises.

Exercises: Exercises

Slides:

Lecture 1

Lecture 2

Lecture 3

Lecture 4

Sage:

We will use the mathematics software Sage.

You can download and install it (its free) or use it on-line here.

Sage Help.

Maple 16:

We will also use the computer algebra system Maple a bit.

Instalation guide (see the box on the left for choosing the operating system).

Link for downloading Maple and the license code.

MaplePrimes: A Web community about Maple.