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A note on short vectors in lattices from function fields

Ates, Leyla; Stichtenoth, Henning


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/56473</identifier>
  <creators>
    <creator>
      <creatorName>Ates, Leyla</creatorName>
      <givenName>Leyla</givenName>
      <familyName>Ates</familyName>
      <affiliation>Sabanci Univ, MDBF, TR-34956 Istanbul, Turkey</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>A Note On Short Vectors In Lattices From Function Fields</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2016</publicationYear>
  <dates>
    <date dateType="Issued">2016-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/56473</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1016/j.ffa.2016.02.002</relatedIdentifier>
  </relatedIdentifiers>
  <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">We discuss some properties of the lattices Lambda which are associated to function fields over finite fields. In particular we are interested in the lattice vectors of minimum length in Lambda and in the sublattice Delta subset of Lambda which is generated by these vectors. In the literature, one finds several examples of function fields where Delta and Lambda have the same rank (well-rounded lattices). In this paper we construct some interesting classes of function fields with rank(Delta) &amp;lt; rank(Lambda). (C) 2016 Elsevier Inc. All rights reserved.</description>
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