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

โœ Scribed by Alp Bassa; Henning Stichtenoth

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
247 KB
Volume
123
Category
Article
ISSN
0022-314X

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โœฆ Synopsis

Recently Bezerra, Garcia and Stichtenoth constructed an explicit tower F = (F n ) n 0 of function fields over a finite field F q 3 , whose limit ฮป(F ) = lim nโ†’โˆž N(F n )/g(F n ) attains the Zink bound ฮป(F ) 2(q 2 -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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