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This course deals with the mathematical ideas underlying modern cryptography, including algebra, number theory and probability theory.
Cryptography 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 comprises the other half of the course. It provides the theory and methods for coding information so that it can be transmitted over a noisy channel and be accurately decoded by the receiver. Cryptography and coding theory 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.
to become familiar with the mathematics behind some of the main encryption systems currently in useto develop the necessary mathematical skills to analyse the efficiency and security of cryptosystems in a rigorous mathematical settingto understand the principles and theory of error-correcting codes, and the various methods for constructing themto understand important ideas from classical number theory, algebra, geometry and probability theory
One of MATH203, MATH220 orMATH240, and a further 15 points from MATH201-294.
Geertrui Van de Voorde
Tutorials 5%Two Assignments 20%Test 25%Exam 50%To obtain a pass (C- or better), you must obtain at least 40% in the exam.
Hoffstein, Pipher and Silverman;
Introduction to Mathematical Cryptography,;
A first course in coding theory;
Oxford Univ. Press, 1990.
General information for students
Domestic fee $780.00
International fee $4,250.00
* 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.