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A image to illustrate Coding theory module
This module explores the theory of error-detecting and error-correcting codes. In particular, it investigates their constraints and bounds and introduces various linear and nonlinear codes and associated encoding and decoding procedures. You’ll analyse the structure and properties of these codes, investigate links between the theory of error-correcting codes and other mathematical structures, and examine the applicability of codes to real situations. You’ll also explore various codes and look at the concepts of optimal and perfect codes. The module concludes with an introduction to cryptography, beginning with historical systems, including the famous WWII Enigma machine, and systems currently in use.
Icon for course type tooltipIcon for credits tooltipIcon for level tooltipModule
M836
30
OU level: Postgraduate
SCQF: 11
FHEQ: 7
31 study weeks
See Distance learning
Not available
See Fees and funding
Icon for course type tooltipIcon for credits tooltipIcon for level tooltipModule
M836
30
OU level: Postgraduate
SCQF: 11
FHEQ: 7
31 study weeks
See Distance learning
Not available
See Fees and funding
The module is based on the set book A First Course in Coding Theory by R. Hill (Oxford University Press).
Successful study of this module should help you identify appropriate methods for exchanging information while protecting against transmission errors and ensuring confidentiality. More generally, it should also enhance your skills in communicating mathematical ideas clearly and succinctly, thinking logically and expressing problems in mathematical language.
You’ll get help and support from an assigned tutor throughout your module.
They’ll help by:
marking your assignments and offering detailed feedback to help you improve providing individual guidance, whether that’s for general study skills or specific module content guiding you to additional learning resources.
Online tutorials run throughout the module. While they’re not compulsory, we strongly encourage you to participate. Where possible, we’ll make recordings available.
Course work includes:
4 Tutor-marked assignments (TMAs)Examination
We regularly review the assessments in our modules, so we may update the examination method used for this module to an in-person exam or a remotely invigilated (proctored) exam. When we are making such a change, we will make it clear on this page. If we need to make a change after you have registered, we will notify you as soon as possible. If you have additional requirements, we will support you to complete your assessments.
You’ll have access to a module website, which includes:
a week-by-week study planner course-specific module materials audio and video content a specimen exam paper with solutions assessment details and submission section online tutorial access access to student forums.
You’ll also receive printed course notes, which include a narrative to accompany the module text, additional exercises, and solutions.
Set books:
Hill, R. A First Course in Coding Theory £60.00 - ISBN 9780198538035
You can study this module on its own or use the credits you gain towards an Open University qualification.
M836 is an option module in our:
Postgraduate Certificate in Mathematics (C90)Postgraduate Diploma in Mathematics (E23)Postgraduate Diploma in Space Science and Technology (E90)MA/MSc Open (F81)MSc in Mathematics (F04)MSc in Space Science and Technology (F77)
Coding theory (M836) starts every other year – in October.
It will next start in October 2027.
We expect it to start for the last time in October 2031.
As a student of The Open University, you should be aware of the content of the academic regulations, which are available on our Student Policies and Regulations website.
You must have passed (or be studying in parallel) one of the following modules:
Analytic number theory I (M823) Calculus of variations and advanced calculus (M820).
You should have some knowledge of linear algebra. Pure mathematics (M208), Mathematical methods (MST224) or Mathematical methods, models and modelling (MST210), and some experience of pure or applied mathematics at third-year honours level should provide adequate preparation.
Primary device – A desktop or laptop computer with at least 8 GB of RAM and a quad-core processor (2.4 GHz minimum speed).  It’s possible to access some materials on a mobile phone, tablet or Chromebook; however, they will not be suitable as your primary device. Peripheral device – Headphones/earphones with a built-in microphone for online tutorials. Operating systems – Windows 11 or the latest supported macOS. Internet access – Broadband or mobile connection. Browser – Google Chrome and Microsoft Edge are recommended; Mozilla Firefox and Safari may be suitable. Our OU Study app operates on supported versions of Android and iOS. Software – Any additional software will be provided or is generally freely available.
The material contains small print and diagrams, which may cause problems if you find reading text difficult.
To find out more about what kind of support and adjustments might be available, contact us or visit our disability support pages.
StartEndRegister byEngland fee
No current presentation
This module may have an optional study weekend. There will be a charge to attend in person or online. If attending in person, you’ll also need to pay for your travel, and accommodation if you need it. More details will be available after the module has started.
If you study this module as part of an eligible qualification, you can apply for a postgraduate loan to support your study costs. To find out more, see Postgraduate loans in England.
Studying with The Open University can boost your employability. OU courses are recognised and respected by employers for their excellence and the commitment they take to complete. They also value the skills that students learn and can apply in the workplace.
Over 30,000 employers have used the OU to develop staff so far. If the module you’ve chosen is geared towards your job or developing your career, you could approach your employer to see if they will sponsor you by paying some or all of the fees.
Your employer just needs to complete a simple form to confirm how much they will be paying and we will invoice them. You won’t need to get your employer to complete the form until after you’ve chosen your module.
You can pay part or all of your tuition fees upfront with a debit or credit card when you register for each module.
We accept American Express, Mastercard, Visa and Visa Electron.
Please note: your permanent address/domicile will affect your fee status and, therefore, the fees you are charged and any financial support available to you. The fee information provided here is valid for modules starting before 31 July 2027. Fees typically increase annually. For further information about the University's fee policy, visit our Fee Rules.
This module will next start in October 2027 and will open for prebooking in September 2026.
This module will next start in October 2027 and will open for prebooking in September 2026.
Level info