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This course deals with the mathematical ideas underlying modern cryptography, including algebra, number theory and probability theory.
This course deals with the mathematical ideas underlying modern coding theory and cryptography, including algebra, number theory and probability theory. Coding theory comprises the first half of the course. It provides the theory and methods for encoding information so that it can be transmitted over a noisy channel and be accurately decoded by the receiver. Cryptography comprises the second half of the course. It is the science of making and breaking secret codes: encryption is what keeps our credit card details safe when we send them over the internet. We will study the mathematics behind some of the main encryption systems in current use. Coding theory and Cryptography draw on ideas from algebra, geometry, number theory and probability theory.The course is aimed at students majoring in computer science or mathematics. It follows on from MATH220 (Discrete Mathematics and Cryptography); it is good preparation for or a good complement to COSC332 (Data and Network Security), COSC413 (Advanced Topics in Algorithms) and COSC436 (Security Fundamentals). Students who do not have the appropriate background in cryptography but who wish to enroll in the course should contact the course coordinator in order to discuss their eligibility.
Students successfully completing this course should:Understand important ideas from classical number theory, algebra, geometry and probability theory;Have become familiar with the mathematics behind some of the main encryption systems currently in use;Have developed the necessary mathematical skills to analyse the efficiency and security of cryptosystems in a rigorous mathematical setting;Understand the principles and theory of error-correcting codes, and the various methods for constructing them.
One of MATH201, MATH203, MATH220 or MATH240, and a further 15 points from MATH201-294.
MATH391
Jeanette McLeod
Brendan Creutz
To obtain a pass (C- or better), you must both pass the course as a whole (≥50%) and obtain at least 40% in the exam.
MATH324 Homepage General information for students Library portal LEARN
Domestic fee $699.00
International fee $3,450.00
* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.
For further information see Mathematics and Statistics .