On towers of function fields of Artin-Schreier type

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Beelen, Peter and Garcia, Arnaldo and Stichtenoth, Henning (2004) On towers of function fields of Artin-Schreier type. Bulletin of the Brazilian Mathematical Society, 35 (2). pp. 151-164. ISSN 1678-7544 (Print) 1678-7714 (Online)

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Official URL: http://dx.doi.org/10.1007/s00574-004-0008-9


In this article we derive strong conditions on the defining equations of asymptotically good Artin-Schreier towers. We will show that at most three kinds of defining equations can give rise to a recursively defined good tower, if we restrict ourselves to prime degrees.

Item Type:Article
Uncontrolled Keywords:function fields; finite fields; towers of function fields; rational places; genus limits of towers; Artin-Schreier extensions
Subjects:Q Science > QA Mathematics
ID Code:574
Deposited By:Henning Stichtenoth
Deposited On:28 Dec 2005 02:00
Last Modified:25 May 2011 14:09

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