, Volume 35, Issue 2, pp 151-164

On towers of function fields of Artin-Schreier type

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Abstract.

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.

1A. Garcia and H. Stichtenoth did part of thiswork during their stay at Sabanci University, Istanbul, Turkey (Sept. 2002).
2A. Garcia was partially supported by PRONEX # 662408/1996-3 (CNPq-Brazil).