An Optimal Unramified Tower of Function Fields

Kristian Brander

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

    Abstract

    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
    Publication date2008
    Pages351-365
    ISBN (Print)9812793429
    Publication statusPublished - 2008
    EventSymposion on Algebraic Geometry and its Application -
    Duration: 1 Jan 2007 → …

    Conference

    ConferenceSymposion on Algebraic Geometry and its Application
    Period01/01/2007 → …
    SeriesSeries on Number Theory and Its Applications
    Volume5

    Keywords

    • Algebraic geometry-codes
    • Tower
    • Function Field

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