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2017/18 Taught Postgraduate Module Catalogue

MATH5153M Advanced Coding Theory

20 creditsClass Size: 30

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

Taught: Semester 1 (Sep to Jan) View Timetable

Year running 2017/18

Pre-requisite qualifications

MATH2020 or MATH2022 or MATH2080, or equivalent.

This module is mutually exclusive with

MATH3153

Coding Theory

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 various media. The theory is of considerable mathematical interest, relying on ideas from pure mathematics and demonstrating the power and elegance of algebraic techniques. The module uses advanced ideas from algebra in the service of applications in Coding Theory.

Objectives

On completion of this module, students should be able to:
a) understand the idea of deployment of set theoretic organisational tools to solve complex practical problems;
b) demonstrate the basic theory of codes;
c) construct certain specific codes;
d) calculate basic properties of specific codes;
e) understand how to use ideas from other areas of algebra in addressing problems in Coding Theory.

Syllabus

- Algebraic preliminaries (linear algebra, fields)
- Theory of Coding
- Block codes (e.g. Hamming Codes, Cyclic Codes)
- Information theory
- Variable length codes
- Golay Codes

Teaching methods

Delivery type	Number	Length hours	Student hours
Lecture	44	1.00	44.00
Private study hours			156.00
Total Contact hours			44.00
Total hours (100hr per 10 credits)			200.00

Opportunities for Formative Feedback

Regular problem solving assignments

Methods of assessment

Exams

Exam type	Exam duration	% of formal assessment
Standard exam (closed essays, MCQs etc)	3 hr 00 mins	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: 26/04/2017

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