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2019/20 Undergraduate Module Catalogue

MATH3153 Coding Theory

15 creditsClass Size: 100

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

Taught: Semester 1 View Timetable

Year running 2019/20

Pre-requisite qualifications

MATH2020 or MATH2022 or MATH2080, or equivalent.

This module is mutually exclusive with

MATH5153MAdvanced Coding Theory

This module is not approved as a discovery module

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.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) 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.

Syllabus

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

Teaching methods

Delivery typeNumberLength hoursStudent hours
Lecture331.0033.00
Private study hours117.00
Total Contact hours33.00
Total hours (100hr per 10 credits)150.00

Private study

Studying and revising of course material.
Completing of assignments and assessments.

Opportunities for Formative Feedback

Regular problem solving assignments

Methods of assessment


Exams
Exam typeExam duration% of formal assessment
Standard exam (closed essays, MCQs etc)2 hr 30 mins100.00
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: 30/04/2019

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