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Technical University of Munich

Channel Coding

Lecturer (assistant)
Sebastian Bitzer
Jessica Bariffi
Antonia Wachter-Zeh
Gökberk Erdoğan
Paraskevi Papadopoulou
Number 0000004399
Type lecture with integrated exercises
Duration 5 SWS
Term Winter semester 2026/27
Language of instruction English
Position within curricula See TUMonline
Dates See TUMonline

Admission information

See TUMonline

Description

This course deals with modern coding approaches for coding and storage. No previous knowledge of channel coding is required.

- Applications of Channel Coding
- Channel Coding Principles:
Channel Models, Decoding Principles, Hamming Metric
- Finite Fields:
Groups, Fields, Prime Fields, Extension Fields, Vector Spaces
- Linear Block Codes:
Definition, Encoding, Coset Decoding, Bounds (Hamming Bound, Singleton Bound, Gilbert- Varshamov Bound), Hamming Codes, Perfect Codes
- Reed-Solomon Codes:
MDS Codes, Definition, Key Equation, Unique Decoding, List Decoding
- BCH Codes:
Minimal Polynomials, Generator and Parity-Check Polynomial, BCH Bound, Efficient Decoding
- Convolutional Codes:
State Diagram, Shift Register, Viterbi Decoding
- Reed-Muller Codes:
Definition, Simplex Code, Plotkin Construction
- Concatenated Codes:
Basic Concepts

Prerequisites

- Mathematical basics (linear algebra)

Teaching and learning methods

Lecture: The fundamental theoretical contents are presented in the lecture (by a slide presentation and on the black board) and illustrated with examples. Students are encouraged to ask questions and discuss the topics of the lecture.

Tutorial: In an accompanying tutorial, the contents of the lecture are applied to examples.

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