2019/20 Undergraduate Module Catalogue
MATH3153 Coding Theory
15 creditsClass Size: 100
Module manager: Professor Paul Martin
Taught: Semester 1 View Timetable
Year running 2019/20
Pre-requisite qualificationsMATH2020 or MATH2022 or MATH2080, or equivalent.
This module is mutually exclusive with
|MATH5153M||Advanced Coding Theory|
This module is not approved as a discovery module
Module summaryThe 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.
ObjectivesOn 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.
- Algebraic preliminaries (linear algebra, fields)
- Theory of Coding
- Block codes (e.g. Hamming Codes, Cyclic Codes)
- Information theory
- Variable length codes
|Delivery type||Number||Length hours||Student hours|
|Private study hours||117.00|
|Total Contact hours||33.00|
|Total hours (100hr per 10 credits)||150.00|
Private studyStudying and revising of course material.
Completing of assignments and assessments.
Opportunities for Formative FeedbackRegular problem solving assignments
Methods of assessment
|Exam type||Exam duration||% of formal assessment|
|Standard exam (closed essays, MCQs etc)||2 hr 30 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 listThe reading list is available from the Library website
Last updated: 30/04/2019
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