A problem of Beelen, Garcia and Stichtenoth on an Artin–Schreier tower in characteristic two
Volume 182 / 2018
Acta Arithmetica 182 (2018), 311-330
MSC: Primary 11R58, 11G20; Secondary 14H05.
DOI: 10.4064/aa8638-10-2017
Published online: 16 February 2018
Abstract
We study a tower of function fields of Artin–Schreier type over a finite field with $2^s$ elements. The study of the asymptotic behavior of this tower was left as an open problem by Beelen, Garcia and Stichtenoth in 2006. We prove that this tower is optimal over a finite field with four elements.
