1 Ocak 2020 Dergi makalesi Açık Erişim

Alahmadi, Adel; Guneri, Cem; Ozkaya, Buket; Shoaib, Hatoon; Sole, Patrick

DataCite XML

<?xml version='1.0' encoding='utf-8'?>
<resource xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://datacite.org/schema/kernel-4" xsi:schemaLocation="http://datacite.org/schema/kernel-4 http://schema.datacite.org/meta/kernel-4.1/metadata.xsd">
  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/9165</identifier>
  <creators>
    <creator>
      <creatorName>Alahmadi, Adel</creatorName>
      <givenName>Adel</givenName>
      <familyName>Alahmadi</familyName>
      <affiliation>King Abdulaziz Univ, Math Dept, Jeddah, Saudi Arabia</affiliation>
    </creator>
    <creator>
      <creatorName>Guneri, Cem</creatorName>
      <givenName>Cem</givenName>
      <familyName>Guneri</familyName>
      <affiliation>Sabanci Univ, FENS, TR-34956 Istanbul, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Ozkaya, Buket</creatorName>
      <givenName>Buket</givenName>
      <familyName>Ozkaya</familyName>
      <affiliation>Nanyang Technol Univ, Sch Phys &amp; Math Sci, 21 Nanyang Link, Singapore 637371, Singapore</affiliation>
    </creator>
    <creator>
      <creatorName>Shoaib, Hatoon</creatorName>
      <givenName>Hatoon</givenName>
      <familyName>Shoaib</familyName>
      <affiliation>King Abdulaziz Univ, Math Dept, Jeddah, Saudi Arabia</affiliation>
    </creator>
    <creator>
      <creatorName>Sole, Patrick</creatorName>
      <givenName>Patrick</givenName>
      <familyName>Sole</familyName>
      <affiliation>Aix Marseille Univ, CNRS, Cent Marseille, I2M, Marseille, France</affiliation>
    </creator>
  </creators>
  <titles>
    <title>On Complementary Dual Multinegacirculant Codes</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2020</publicationYear>
  <dates>
    <date dateType="Issued">2020-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/9165</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1007/s12095-019-00364-8</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">Linear codes with complementary duals intersect with their duals trivially. Multinegacirculant codes that are complementary dual are characterized algebraically and some good codes are found in this family. Exact enumeration is performed for indices 2 and 3, whereas special choices of the co-index and base field size are needed for higher indices. Asymptotic existence results are derived for the special class of such codes that have co-index a power of two by means of Dickson polynomials. This shows that there are infinite families of complementary dual multinegacirculant codes with relative distance satisfying a modified Gilbert-Varshamov bound.</description>
  </descriptions>
</resource>