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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, García 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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In this paper we study the problem of constructing non-trivial subtowers and supertowers of recursive towers of function fields over finite fields.

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