Some topics with a strong recent research development include additive combinatorics, finite fields models, iteration of functions, dynamical systems over finite fields, and several areas related to theoretical computer science. Other already existing areas of finite fields research have received renewed impulses with important recent developments. Apart from being an interesting and exciting area in combinatorics with beautiful results, finite projective spaces or Galois geometries have many applications to coding theory, algebraic geometry, design theory, graph theory, cryptology and group theory. Differential properties of the exponential and logarithm functions over finite fields are well known and close to optimal. Nevertheless a precise estimation of their linearity remains unknown.
All Science Journal Classification (ASJC) codes
- Theoretical Computer Science
- Algebra and Number Theory
- Applied Mathematics