turkmath.org

Let $\mathbb{F}_q$ be a finite field ($q = p^k$ with $p$ a prime and $k \geq 1$ an integer) and $\mathbb{F}/\mathbb{F}_q$ be an algebraic function field of one variable with the field $\mathbb{F}_q$ as its full constant field. In this talk, I will firstly give a short introduction to recursive towers of function fields over finite fields. Then we discuss some results on quadratic recursive towers over the field $\mathbb{F}_2$ (which is a joint work with Henning Stichtenoth).