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Abstract Algebra in Coding Theory

Course aims

After passing the course a student will be able:
- use congruences when solving discrete problems,
- describe symmetries of real world problem using groups,
- calculate polynomial operations in modular arithmetics,
- construct selected Galois fields and simple codes based on these,
- construct simple finite vector fields,
- perform comutation on code words in vector notation,
- perform operations on selected codes in matrix notation,
- encode and decode a message in a simple code,
- detect and correct basic mistakes in transmission.

Literature

R. HILL: A First Course in Coding Theory, Oxford University Press 2006, ISBN 0-19-853803-0.

Advised literature

J. GALLIAN: Contemporary Abstract Algebra, Cegage Learning; 8th edition 2012, ISBN 978-1133599708.


Language of instruction Czech, English
Code 470-4202
Abbreviation AvTK
Course title Abstract Algebra in Coding Theory
Coordinating department Department of Applied Mathematics
Course coordinator doc. Mgr. Petr Kovář, Ph.D.