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TOWERS OF FUNCTION FIELDS OVER NON-PRIME FINITE FIELDS

Bassa, Alp; Beelen, Peter; Garcia, Arnaldo; Stichtenoth, Henning


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/79197</identifier>
  <creators>
    <creator>
      <creatorName>Bassa, Alp</creatorName>
      <givenName>Alp</givenName>
      <familyName>Bassa</familyName>
      <affiliation>Sabanci Univ, MDBF, TR-34956 Istanbul, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Beelen, Peter</creatorName>
      <givenName>Peter</givenName>
      <familyName>Beelen</familyName>
      <affiliation>Tech Univ Denmark, Dept Appl Math &amp; Comp Sci, DK-2800 Lyngby, Denmark</affiliation>
    </creator>
    <creator>
      <creatorName>Garcia, Arnaldo</creatorName>
      <givenName>Arnaldo</givenName>
      <familyName>Garcia</familyName>
      <affiliation>Inst Nacl Matemat Pura &amp; Aplicada, IMPA, BR-22460320 Rio De Janeiro, RJ, Brazil</affiliation>
    </creator>
    <creator>
      <creatorName>Stichtenoth, Henning</creatorName>
      <givenName>Henning</givenName>
      <familyName>Stichtenoth</familyName>
      <affiliation>Sabanci Univ, MDBF, TR-34956 Istanbul, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Towers Of Function Fields Over Non-Prime Finite Fields</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2015</publicationYear>
  <dates>
    <date dateType="Issued">2015-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/79197</alternateIdentifier>
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    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsVersionOf">10.81043/aperta.79196</relatedIdentifier>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.81043/aperta.79197</relatedIdentifier>
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  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">Over all non-prime finite fields, we construct some recursive towers of function fields with many rational places. Thus we obtain a substantial improvemient on all known lower bounds for Thara's quantity A(l), for l - p(n) with p prime and n &amp;gt; 3 odd. We relate the explicit equations to Drinfeld modular varieties.</description>
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