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This book is concerned with Galois Geometry or Finite Geometry, quite a young area in Mathematics that dates back to around 1950 with the work of the celebrated Italian mathematician Beniamino Segre who studied n-dimensional projective spaces over finite fields and substructures of these spaces. Since then Finite Geometry has received more and more attention due to its close links with other areas of mathematics such as Group Theory and Algebra, as well as its many applications in Coding Theory and Cryptography.
The topics treated in this book play a key role in Finite Geometry and can serve...

This volume contains the proceedings of the 10th International Congress on Finite Fields and their Applications (Fq 10), held July 11-15, 2011, in Ghent, Belgium. Research on finite fields and their practical applications continues to flourish. This volume's topics, which include finite geometry, finite semifields, bent functions, polynomial theory, designs, and function fields, show the variety of research in this area and prove the tremendous importance of finite field theory.