2005/06 Undergraduate Module Catalogue
MATH3152 Coding Theory
10 creditsClass Size: 200
Taught: Semester 1 (Sep to Jan) View Timetable
Year running 2005/06
Pre-requisitesMATH1011 or MATH1330 or MATH2080 or equivalent.
This module is approved as an Elective
ObjectivesTo provide an introduction to linear codes in particular and coding in general, discussing the merits of various methods. On completion of this module, students should be able to: (a) demonstrate the basic theory of codes; (b) construct certain specific codes; (c) calculate basic properties of specific codes.
The subject of error correcting codes is modern, starting with an article by Shannon in 1948. It concerns the practical problem of ensuring reliable transmission of digital data through a noisy channel. Error correcting codes are now widely used in applications such as transmitting satellite pictures, designing registration numbers and storing data on magnetic tapes and CD's. The theory is of considerable mathematical interest, relying on ideas from pure mathematics and demonstrating the power and elegance of algebraic techniques. Some or all of: 1. Error correcting codes. Hamming distance, elementary examples. 2. Algebraic preliminaries. Linear algebra, finite fields. 3. Algebraic coding theory. Cyclic codes, dual codes, quadratic residue and BCH codes. 4. Steiner systems. Golay codes. 5. Information theory. Entropy and Shannon's theorem. 6. Variable length codes. Huffman codes.
Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for informationLectures: 20 hours. 6 examples classes.
Methods of assessment
Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for informationOne 2 hour examination at end of semester (100%).
Reading listThe reading list is available from the Library website
Last updated: 13/05/2005
Browse Other Catalogues
- Undergraduate module catalogue
- Taught Postgraduate module catalogue
- Undergraduate programme catalogue
- Taught Postgraduate programme catalogue
Errors, omissions, failed links etc should be notified to the Catalogue Team.PROD