A simplified proof for the limit of a tower over a cubic finite field |
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Authors: | Alp Bassa Henning Stichtenoth |
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Institution: | a Universität Duisburg-Essen, FB Mathematik, 45117 Essen, Germany b Sabanc? University, MDBF, Orhanl?, 34956 Tuzla, ?stanbul, Turkey |
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Abstract: | Recently Bezerra, Garcia and Stichtenoth constructed an explicit tower F=(Fn)n?0 of function fields over a finite field Fq3, whose limit λ(F)=limn→∞N(Fn)/g(Fn) attains the Zink bound λ(F)?2(q2−1)/(q+2). Their proof is rather long and very technical. In this paper we replace the complex calculations in their work by structural arguments, thus giving a much simpler and shorter proof for the limit of the Bezerra, Garcia and Stichtenoth tower. |
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Keywords: | Towers of function fields Genus Rational places Limits of towers Zink's bound |
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