## MATH3152 Coding Theory

### 10 creditsClass Size: 200

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

Taught: Semester 2 (Jan to Jun) View Timetable

Year running 2008/09

### Pre-requisite qualifications

MATH1015 or MATH1331 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

Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for information

 Delivery type Number Length hours Student hours Example Class 6 1.00 6.00 Lecture 20 1.00 20.00 Private study hours 74.00 Total Contact hours 26.00 Total hours (100hr per 10 credits) 100.00

### Methods of assessment

Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for information

Exams
 Exam type Exam 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