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.

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

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

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

oral examination

Skriptum auf der LVA-Webseite

linear algebra, algebra