This course aims to provide the conceptual bases and methods to construct and analyse finite fields and various associated combinatorial structures, with a view toward applications.
Main themes
This course yields an introduction to certain application-oriented topics in algebra. The basic notion from a theoretical point of view is the structure of finite fields.
Other information (prerequisite, evaluation (assessment methods), course materials recommended readings, ...)
Precursorycourses A first course in linear algebra
Support F.J. MacWilliams, N.J.A. Sloane : The theory of error-correcting codes, North-Holland, 1983 H.J. Ryser : Combinatorial Mathematics, Carus Math. Monographs, MAA, 1963