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On the difference between permutation polynomials

Anbar, Nurdagul; Odzak, Almasa; Patel, Vandita; Quoos, Luciane; Somoza, Anna; Topuzoglu, Alev


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/30467</identifier>
  <creators>
    <creator>
      <creatorName>Anbar, Nurdagul</creatorName>
      <givenName>Nurdagul</givenName>
      <familyName>Anbar</familyName>
      <affiliation>Austrian Acad Sci, Johann Radon Inst Computat &amp; Appl Math, Altenbergerstr 69, A-4040 Linz, Austria</affiliation>
    </creator>
    <creator>
      <creatorName>Odzak, Almasa</creatorName>
      <givenName>Almasa</givenName>
      <familyName>Odzak</familyName>
      <affiliation>Univ Sarajevo, Zmaja Bosne 35, Sarajevo 71000, Bosnia &amp; Herceg</affiliation>
    </creator>
    <creator>
      <creatorName>Patel, Vandita</creatorName>
      <givenName>Vandita</givenName>
      <familyName>Patel</familyName>
      <affiliation>Univ Warwick, Coventry CV4 7AL, W Midlands, England</affiliation>
    </creator>
    <creator>
      <creatorName>Quoos, Luciane</creatorName>
      <givenName>Luciane</givenName>
      <familyName>Quoos</familyName>
      <affiliation>Univ Fed Rio de Janeiro, BR-21941909 Rio De Janeiro, RJ, Brazil</affiliation>
    </creator>
    <creator>
      <creatorName>Somoza, Anna</creatorName>
      <givenName>Anna</givenName>
      <familyName>Somoza</familyName>
    </creator>
    <creator>
      <creatorName>Topuzoglu, Alev</creatorName>
      <givenName>Alev</givenName>
      <familyName>Topuzoglu</familyName>
      <affiliation>Sabancz Univ, MDBF, TR-34956 Istanbul, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>On The Difference Between Permutation Polynomials</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2018</publicationYear>
  <dates>
    <date dateType="Issued">2018-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/30467</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1016/j.ffa.2017.09.009</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">The well-known Chowla and Zassenhaus conjecture, proved by Cohen in 1990, states that if p &amp;gt; (d(2) - 3d + 4)(2), then there is no complete mapping polynomial f in F-p[x] of degree d &amp;gt;= 2. For arbitrary finite fields F-q, a similar non-existence result was obtained recently by Isik, Topuzoglu and Winterhof in terms of the Carlitz rank of f.</description>
  </descriptions>
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