An Optimal Unramified Tower of Function Fields

Kristian Brander (Author)

    Research output: Non-textual formSound/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 languageEnglish
    Publication date2007
    Publication statusPublished - 2007
    EventSymposion on Algebraic Geometry and its Application - Papeete
    Duration: 1 Jan 2007 → …

    Conference

    ConferenceSymposion on Algebraic Geometry and its Application
    CityPapeete
    Period01/01/2007 → …

    Keywords

    • Algebraic geometry-codes
    • Tower
    • Function Field

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