Course - Coding Theory - TMA4185
Coding Theory
About
About the course
Course content
Error-correcting codes, Hamming distance, detecting/correcting errors, erasures. Linear block codes, sphere packings and minimal distances, Varshamov and Gilbert existence theorems. Finite fields and polynomials. Berlekamp-Massey algorithm. General BCH codes and Reed-Solomon codes: constructions, properties and decoding algorithms. Cyclic codes. Binary Golay codes: construction and decoding. Introduction to coding with matrices, cross-interleaving and coding of the compact disc.
Learning outcome
This course gives an introduction to the basic algebraic theory for error-correcting codes.
Learning methods and activities
Lectures and exercises. Retake of examination may be given as an oral examination.
Recommended previous knowledge
The course is based on TMA4150 Algebra and Number Theory or MA2201 Algebra.
Course materials
Will be announced at the start of the course.
Credit reductions
| Course code | Reduction | From |
|---|---|---|
| SIF5032 | 7.5 sp |
Subject areas
- Mathematics
- Technological subjects