Algorithms in algebraic combinatorial design theory

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Combinatorial Designs are used in every day life, even though this is not always visible. Satellite transmissions use Error-correcting codes which are based on certain special kinds of combinatorial designs. Wireless communication protocols use combinatorial designs as well. The theory of combinatorial designs uses extensively tools from Mathematics (from areas such as Linear Algebra, Group Theory, Number Theory) and Computer Science (from areas such as Algorithms, High-performance computing, Metaheuristics). The main focus of our project is the study of combinatorial designs from a Computational Algebra point of view. Formalizing combinatorial designs via Computational  Algebra allows one to employ powerful techniques to study them. An important outcome of our project is the creation of databases with inequivalent designs. These databases are available to statisticians and other researchers.