Abstract Algebra in Coding Theory

470-4202/01

Czech Abstract Algebra in Coding Theory

470-4202/02

English

470-4202/01

Czech Abstract Algebra in Coding Theory

470-4202/02

English

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.

- 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.

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

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

Language of instruction | Czech, English |
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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. |