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Accessibility statement
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.
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:
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:
You’ll have access to a module website, which includes:
You’ll also receive printed course notes, which include a narrative to accompany the module text, additional exercises, and solutions.
Set books:
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:
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:
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.
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.
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 2026. 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