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2023S, VO, 2.0h, 3.0EC

## Properties

• Semester hours: 2.0
• Credits: 3.0
• Type: VO Lecture
• Format: Presence

## Learning outcomes

After successful completion of the course, students are able to
- understand the basic requirements in coding and decoding of data with respect to error dedection and correction,
- apply mathematical methods in order to accomplish these requirements,
- name several important classes of codes and know their properties.

## Subject of course

Introductory examples; error detection and correction (Hamming distance, maximum likelihood decoding); linear codes (generator matrix, parity check matrix, syndrome decoding, dual code); bounds for code parameters; cyclic codes; some important families of codes (Hamming-, Reed-Solomon-, BCH-codes), en-/decoding in the compact disc, quadratic residue codes, Golay codes; the necessary mathematical background (linear algebra, finite fields and probability theory, amongst other things) is recalled and developed, respectively

## Teaching methods

Presentation of the basic topics and methods, discussion of various examples

## Mode of examination

Oral

Thursday, 14:30 - 16:00h, Besprechungsraum in Freihaus building, Turm A, 5th floor, starting March 9, 2023.

## Course dates

DayTimeDateLocationDescription
Thu14:30 - 16:0009.03.2023 - 29.06.2023 Besprechungsraum des Instituts, 5. Stock (Freihaus, grüner Turm)Fehlerkorrigierende Codes VO
Error Correcting Codes - Single appointments
DayDateTimeLocationDescription
Thu09.03.202314:30 - 16:00 Besprechungsraum des Instituts, 5. Stock (Freihaus, grüner Turm)Fehlerkorrigierende Codes VO
Thu16.03.202314:30 - 16:00 Besprechungsraum des Instituts, 5. Stock (Freihaus, grüner Turm)Fehlerkorrigierende Codes VO
Thu23.03.202314:30 - 16:00 Besprechungsraum des Instituts, 5. Stock (Freihaus, grüner Turm)Fehlerkorrigierende Codes VO
Thu30.03.202314:30 - 16:00 Besprechungsraum des Instituts, 5. Stock (Freihaus, grüner Turm)Fehlerkorrigierende Codes VO
Thu20.04.202314:30 - 16:00 Besprechungsraum des Instituts, 5. Stock (Freihaus, grüner Turm)Fehlerkorrigierende Codes VO
Thu27.04.202314:30 - 16:00 Besprechungsraum des Instituts, 5. Stock (Freihaus, grüner Turm)Fehlerkorrigierende Codes VO
Thu04.05.202314:30 - 16:00 Besprechungsraum des Instituts, 5. Stock (Freihaus, grüner Turm)Fehlerkorrigierende Codes VO
Thu11.05.202314:30 - 16:00 Besprechungsraum des Instituts, 5. Stock (Freihaus, grüner Turm)Fehlerkorrigierende Codes VO
Thu25.05.202314:30 - 16:00 Besprechungsraum des Instituts, 5. Stock (Freihaus, grüner Turm)Fehlerkorrigierende Codes VO
Thu01.06.202314:30 - 16:00 Besprechungsraum des Instituts, 5. Stock (Freihaus, grüner Turm)Fehlerkorrigierende Codes VO
Thu15.06.202314:30 - 16:00 Besprechungsraum des Instituts, 5. Stock (Freihaus, grüner Turm)Fehlerkorrigierende Codes VO
Thu22.06.202314:30 - 16:00 Besprechungsraum des Instituts, 5. Stock (Freihaus, grüner Turm)Fehlerkorrigierende Codes VO
Thu29.06.202314:30 - 16:00 Besprechungsraum des Instituts, 5. Stock (Freihaus, grüner Turm)Fehlerkorrigierende Codes VO

oral examination

Not necessary

## Curricula

Study CodeObligationSemesterPrecon.Info
033 201 Technical Mathematics Mandatory elective

## Literature

Skriptum auf der LVA-Webseite

## Previous knowledge

linear algebra, algebra

German