Error Control Codes

Lecturer:

Pavel Kubalík, Alois Pluháček (guarantor)

Tutor:

Pavel Kubalík, Alois Pluháček (guarantor)

Supervisor:

Department of Digital Design

Synopsis:

The goal of the course is to present various ways to detect or correct individual errors and burst errors in data stored into memories or transmitted via channels.

Requirements:

Linear and abstract algebra basics, design of combinational and sequential logic circuits at the gate level.

Syllabus of lectures:

1. Error control codes - basic principles.

2. Linear codes.

3. Codes generated by a polynomial.

4. Cyclic codes, finite fields, and minimal polynomials.

5. Burst error correction codes.

6. Hardware for burst error correction methods.

7. Sums and products of codes and RM codes.

8. BCH codes.

9. Correction codes for byte errors, generalized Hamming codes.

10. RS (Read-Solomon) codes.

11. Convolutional and turbo codes.

12. Codes for arithmetic operations.

Syllabus of tutorials:

1. Finite fields and polynomials.

2. Lineární kódy.

3. Cyclic codes.

4. Test.

5. Burst error correction.

6. BCH codes.

Study Objective:

Errors can be superposed on memory stored data or on data transmitted via channels. Codes to detect or even to correct of errors, theirs burst or group will bepresented, as well as coder and decoder design.

Study materials:

Lin, S., Costello, D. J.: Error Control Coding, 2nd Edition. Prentice Hall 2004. ISBN 9780130426727.

Moreira, J. C., Farrell, P. G. : Essentials of Error-Control Coding. Wiley 2006. ISBN 9780470029206.

Note:

Further information:

https://courses.fit.cvut.cz/MI-BKO/

No time-table has been prepared for this course

The course is a part of the following study plans:

• Knowledge Engineering, in Czech, Presented in Czech, Version 2016 and and 2017 (elective course)
• Computer Security, Presented in Czech, Version 2016 to 2019 (elective course)
• Computer Systems and Networks, Presented in Czech, Version 2016 to 2019 (elective course)
• Design and Programming of Embedded Systems, in Czech, Version 2016 to 2019 (compulsory course of the specialization)
• Specialization Web and Software Engineering, in Czech, Version 2016 to 2019 (elective course)
• Specialization Software Engineering, in Czech, Version 2016 to 2019 (elective course)
• Specialization Web Engineering, Presented in Czech, Version 2016 to 2019 (elective course)
• Master Informatics, Presented in Czech, Version 2016 to 2019 (VO)
• Specialization System Programming, Presented in Czech, Version 2016 to 2019 (elective course)
• Specialization Computer Science, Presented in Czech, Version 2016-2017 (elective course)
• Knowledge Engineering, in Czech, Presented in Czech, Version 2018 to 2019 (elective course)