An Optimal Unramified Tower of Function Fields

Publication: Research - peer-reviewArticle in proceedings – Annual report year: 2008

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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.
Original languageEnglish
Title of host publicationAlgebraic Geometry and its Applications : Proceedings of the First SAGA Conference
PublisherWorld Scientific Publishing Co Pte Ltd
Publication date2008
Pages351-365
ISBN (print)9812793429
StatePublished

Conference

ConferenceSymposion on Algebraic Geometry and its Application
Period01/01/07 → …
NameSeries on Number Theory and Its Applications
Volume5

Keywords

  • Algebraic geometry-codes, Tower, Function Field
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