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227-0418-00L 6 Credits BSC , DR , MSC D-ERDW , D-MAVT , D-MATH , D-PHYS , D-ITET

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Algebra and Error Correcting Codes

Lecturers & Examiners: Prof. Dr. Hans-Andrea Loeliger

VVZ CR 4.2

Last Updated: 2026-06-01 11:33:18

Abstract

The course is an introduction to error correcting codes covering both classical algebraic codes and modern iterative decoding. The course includes a self-contained introduction of the pertinent basics of "abstract" algebra.

Objective

Content

Error correcting codes: 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, polar codes, Reed-Solomon codes. Algebra: groups, rings, homomorphisms, quotient groups, ideals, finite fields, vector spaces, polynomials.

Resources

Lecture Notes

Lecture Notes (english)

Learning Materials (Links)

Main link
http://www.isi.ee.ethz.ch/teaching/courses/aecc

General Information

Language: English
Levels: BSC , DR , 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 14:15-18:00 (ETZ E 9)	4 h weekly

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