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conference paper
On the Construction of Galois Towers
Bassa, Alp
•
Beelen, Peter
2009
Arithmetic, Geometry, Cryptography And Coding Theory
In this paper we study an asymptotically optimal tame tower over the field with p(2) elements introduced by Garcia-Stichtenoth. This tower is related with a modular tower, for which explicit equations were given by Elkies. We use this relation to investigate its Galois closure. Along the way, we obtain information about the structure of the Galois closure of X-0(p(n)) over X-0(p(r)), for integers 1 < r < n and prime p and the Galois closure of other modular towers (X-0(p(n)))n.
Type
conference paper
Web of Science ID
WOS:000267679700002
Authors
Bassa, Alp
•
Beelen, Peter
Publication date
2009
Published in
Arithmetic, Geometry, Cryptography And Coding Theory
Series title/Series vol.
Contemporary Mathematics; 487
Start page
9
End page
20
Peer reviewed
REVIEWED
EPFL units
Event name | Event place | Event date |
Marseilles, FRANCE | Nov 05-09, 2007 | |
Available on Infoscience
November 30, 2010
Use this identifier to reference this record