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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2019/2020

Theory of Codes

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Code Completion Credits Range Language
01TKO ZK 2 2 Czech
Lecturer:
Edita Pelantová (guarantor)
Tutor:
Supervisor:
Department of Mathematics
Synopsis:

Algebraic methods used in error detecting and error correcting codes.

Requirements:

Basic results and techniques of the linear and general algebra, particularly, of finite fields.

Syllabus of lectures:

Error detecting and error correcting codes, minimum distance of a code, the Hamming bound.

Codes with the best parameters, the Hadamard matrices, Levenshtein theorem.

Linear codes: generator and parity check matrices, standard decoding, Hamming codes, Golay code, cyclic codes, BCH codes, Reed-Muller codes.

Syllabus of tutorials:
Study Objective:

To acquaint students with using results of linear and general algebra for creating error detecting and error correcting codes and their decoding methods.

Study materials:

Obligatory:

Blahut R.E.: Theory and Practice of Error Control Codes. Addison-Wesley, Massachusetts, 1984.

Optional:

F.J. MacWilliams and N.J.A. Sloane, The Theory of Error-Correcting Codes, North-Holland: New York, NY, 1978.

Note:
Time-table for winter semester 2019/2020:
Time-table is not available yet
Time-table for summer semester 2019/2020:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2019-09-18
For updated information see http://bilakniha.cvut.cz/en/predmet11276605.html