An Optimal Unramified Tower of Function Fields

Kristian Brander

An Optimal Unramified Tower of Function Fields

Kristian Brander (Author)

Research output: Non-textual form › Sound/Visual production (digital) › Research

Abstract

Efficient construction of long AG--codes resulting from optimal towers of function fields is known to be difficult. In the following a tower which is both optimal and unramified, that is a tower in which all places are unramified after some level, is investigated in the hope that its simple ramification structure can be exploited in the construction of AG--codes. Results are mostly negative, but helps clarifying the difficulties in computing bases of Riemann--Roch spaces.

Original language	English
Publication date	2007
Publication status	Published - 2007
Event	Symposion on Algebraic Geometry and its Application - Papeete Duration: 1 Jan 2007 → …

Conference

Conference	Symposion on Algebraic Geometry and its Application
City	Papeete
Period	01/01/2007 → …

Keywords

Algebraic geometry-codes
Tower
Function Field

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AB - Efficient construction of long AG--codes resulting from optimal towers of function fields is known to be difficult. In the following a tower which is both optimal and unramified, that is a tower in which all places are unramified after some level, is investigated in the hope that its simple ramification structure can be exploited in the construction of AG--codes. Results are mostly negative, but helps clarifying the difficulties in computing bases of Riemann--Roch spaces.

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