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Finite Groups, Representation Theory and Combinatorial Structures

We introduce background material from Finite Groups and Representation Theory of Finite Groups (Linear and Permutation Representations). We introduce the reader to combinatorial structures such as Designs and Linear Codes and will discuss some of their properties, we also give few examples. We aim to introduce two new methods for constructing codes and designs from nite groups (mostly simple nite groups). We outline some of recent collaborative work by the author with J D Key, B Rorigues and T Le.