A problem of Beelen, Garcia and Stichtenoth on an Artin-Schreier tower in characteristic two
Abstract
We study a tower of function fields of Artin-Schreier type over a finite field with 2s elements. The study of the asymptotic behavior of this tower was left as an open problem by Beelen, Garc\'ia and Stichtenoth in 2006. We prove that this tower is asymptotically good for s even and asymptotically bad for s odd.
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