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Conference paper

An Optimal Unramified Tower of Function Fields

In Algebraic Geometry and Its Applications — 2008, pp. 351-365
From

Discrete mathematics, Department of Mathematics, Technical University of Denmark1

Department of Mathematics, Technical University of Denmark2

Efficient construction of long algebraic geometric--codes resulting from optimal towers of function fields is known to be difficult. In the following a tower which is both optimal and unramified after its third level, is investigated in the hope that its simple ramification structure can be exploited in the construction of algebraic geometric--codes.

Results are mostly negative, but help clarifying the difficulties in computing bases of Riemann--Roch spaces.

Language: English
Publisher: World Scientific
Year: 2008
Pages: 351-365
Proceedings: Symposion on Algebraic Geometry and its Application
Series: Series on Number Theory and Its Applications
Journal subtitle: Proceedings of the First Saga Conference
ISBN: 1281934275 , 9812793429 , 9812793437 , 9781281934277 , 9789812793423 and 9789812793430
Types: Conference paper

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