Course Catalog 2006-2007

MAT-55406 FINITE FIELDS, 4 cr
Finite Fields

Courses persons responsible
Stephane Foldes

Implementations
  Period 1 Period 2 Period 3 Period 4 Period 5 Summer
Lecture - 3 h/week 2 h/week - - -
Exercise - 2 h/week 2 h/week - - -
Exam  
(Timetable for academic year 2006-2007)

Content
Content Core content Complementary knowledge Specialist knowledge
1. Basic ring and field theory. The 2-element field. Special properties of finite fields.       
2. Existence and uniqueness of finite fields.       
3. Polynomials over finite fields. Finite planes and other geometries over finite fields.       

Requirements for completing the course
Final exam and activity points, particulars to be announced during the first lecture.

Evaluation criteria for the course

  • Used assessment scale is numeric (1-5)

    • Study material
    Type Name Auhor ISBN URL Edition, availability... Exam material Language
    Book Finite Fields for Computer Scientists and Engineers R.J. McEliece     Kluwer Academic Publishers Yes  English 
    Book Fundamental Structures of Algebra & Discrete Mathematics S. Foldes     Wiley No  English 

    Prerequisites
    Code Course Credits M/R
    MAT-21160 MAT-21160 Mathematics for Algorithms 3 Mandatory
    MAT-41156 MAT-41156 Algebra 1 5 Mandatory

    Prequisite relations (Sign up to TUT Intranet required)

    Remarks

    Lectures in English. This course is a recommended 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 every second year. It will be given in the academic year 2007-2008.

  • The course is suitable for postgraduate studies.

  • Course will not be lectured in the academic year 2006-2007.

    • Correspondence of content
    7305040 Finite Fields

    Last modified 10.02.2007
    Modified byStephane Foldes