Opinto-opas 2002-2003

7305040 FINITE FIELDS, FINITE FIELDS, 2 ov

Lecturer info
Professor STEPHAN FOLDES

Lectures and exercises:
Lecture hours total 28 h.
Exersice hours total 14 h.

Weekly teaching / period	A1	A2	S1	S2	Summer
Lectures (h):	2+	2	-	-	-
Exercises (h):	1+	1	-	-	-

Content of the course
Basic ring and field theory. The 2-element field. Special properties of finite fields. Existence and uniqueness of finite fields. Linear and polynomial algebra over finite fields. Finite planes and other geometries over finite fields.

Requirements
Final exam and activity points, particulars to be announced during first lecture.

Literature
R.J. McEliece, Finite Fields for Computer Scientists and Engineers, Kluwer Academic Publishers, or corresponding material.

Information on prerequisites
Engineering Mathematics 2 or Honours Marhematics 2

Prerequisites

Number	Name	OV	P/S
73115	Algebra 1	3	Recomm.
73035	Engineering Mathematics 2	5	Obl.
7303045	Honours Mathematics 2	5	Obl.

Notes
Lectures in English. This course is a compulsory prerequisite for the course 73120 Coding Theory. Students wishing to explore possible research or teaching involvement in the area of discrete mathematics / theoretical computer science are invited to communicate their interest. The course is given biannually. It is not given in the academic year 2002-2003. stephan.foldes@tut.fi