Towers of Function Fields over Non-prime Finite Fields
Towers of Function Fields over Non-prime Finite Fields
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DOI：
10.17323/1609-4514-2015-15-1-1-29
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发表时间：
2012-02
期刊：
影响因子：
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通讯作者：
A. Bassa;Peter Beelen;Arnaldo Garcia;H. Stichtenoth
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文献类型：
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作者：
A. Bassa;Peter Beelen;Arnaldo Garcia;H. Stichtenoth
Over all non-prime finite fields, we construct some recursive towers of function fields with many rational places. Thus we obtain a substantial improvement on all known lower bounds for Ihara's quantity $A(\ell)$, for $\ell = p^n$ with $p$ prime and $n>3$ odd. We relate the explicit equations to Drinfeld modular varieties.
