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2007/08 Undergraduate Module Catalogue

MATH3152 Coding Theory

10 creditsClass Size: 200

Module manager: Professor P. Martin
Email: ppmartin@maths.leeds.ac.uk

Taught: Semester 2 View Timetable

Year running 2007/08

Pre-requisite qualifications

MATH1011 or MATH1330 or MATH2080 or equivalent

This module is approved as an Elective

Module summary

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.Note that while coding theory appears to have few mathematical prerequisites, an 'algebraic' mind-set is required.

Objectives

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.

Syllabus

Algebraic preliminaries (linear algebra, fields); coding theory; plus a selection from: various block codes; some information theory; some discussion of variable length codes.

Teaching methods

Delivery typeNumberLength hoursStudent hours
Example Class61.006.00
Lecture201.0020.00
Private study hours74.00
Total Contact hours26.00
Total hours (100hr per 10 credits)100.00

Methods of assessment


Exams
Exam typeExam duration% of formal assessment
Standard exam (closed essays, MCQs etc)2 hr 100.00
Total percentage (Assessment Exams)100.00

Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated

Reading list

The reading list is available from the Library website

Last updated: 15/11/2007

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