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Theories of groups: subgroups, cosets and Lagrange's theorem, quotient groups, isomorphisms and homomorphisms, the structure theorem of Abelian groups, the classification of isomorphism, classes of groups of low order, group actions on sets, Sylow's theorems

Theories of rings: characteristics, integral domains, polynomial rings, ideals and quotient rings, ring homomorphisms, the isomorphism theorems, prime and maximal ideals, Euclidean rings, Gaussian integers

Theories of fields: field extensions, finite fields and number fields

Cryptography: symmetric encryption (secret keys) and asymmetric encryption (public keys), Revest-Shamir-Adelman (RSA) encryption

Error control coding: cyclic codes and BCH codes, perfect codes, encoding and decoding.

Each student is required to carry out a minor project.

Progressive specialisation: G2F (has at least 60 credits in first‐cycle course/s as entry requirements)

Education level: Undergraduate level

Selection:

Selection is usually based on your grade point average from upper secondary school or the number of credit points from previous university studies, or both.

This course is included in the following programme

• Mathematics Programme (studied during year 2)