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227-0418-00L 6 Credits DR , BSC , MSC D-USYS , D-BAUG , D-MAVT , D-INFK , D-MTEC , D-MATH , D-BIOL , D-ERDW , D-GESS , D-ITET , D-CHAB
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Algebra and Error Correcting Codes

Lecturers & Examiners: Prof. Dr. Hans-Andrea Loeliger
VVZ CR 4.2

Last Updated: 2026-02-05 15:29:52

Abstract

The course is an introduction to error correcting codes covering both classical algebraic codes and modern iterative decoding. The course is also an introduction to "abstract" algebra and some of its applications in coding and signal processing.

Objective

The course is an introduction to error correcting codes covering both classical algebraic codes and modern iterative decoding. The course is also an introduction to "abstract" algebra and some of its applications in coding and signal processing.

Content

Coding: coding and modulation, linear codes, Hamming space codes, Euclidean space codes, trellises and Viterbi decoding, convolutional codes, factor graphs and message passing algorithms, low-density parity check codes, turbo codes, Reed-Solomon codes. Algebra: groups, rings, homomorphisms, ideals, fields, finite fields, vector spaces, polynomials, Chinese Remainder Theorem.

Resources

Lecture Notes

Lecture Notes (english)

General Information

Language
English
Levels
DR , BSC , MSC
Frequency
Yearly recurring

Examination

Type
session examination
Mode
oral 30 minutes

Course Components

Type Title Time & Place Hours
lecture with exercise Algebra and Error Correcting Codes
  • Tue 13:15-17:00 (ETZ K 91)
4 h weekly

Offered In