title   
  

A simplified proof for the limit of a tower over a cubic finite field

Bassa, Alp and Stichtenoth, Henning (2007) A simplified proof for the limit of a tower over a cubic finite field. Journal of Number Theory, 123 (1). pp. 154-169. ISSN 0022-314X

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Official URL: http://dx.doi.org/10.1016/j.jnt.2006.06.005

Abstract

Recently Bezerra, Garcia and Stichtenoth constructed an explicit tower F = (Fn)n 0 of function fields over a finite field F q3 , 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.

Item Type:Article
Uncontrolled Keywords:towers of function fields; genus; rational places; limits of towers; Zink's bound
Subjects:Q Science > QA Mathematics
ID Code:157
Deposited By:Henning Stichtenoth
Deposited On:20 Dec 2006 02:00
Last Modified:09 Dec 2011 22:13

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