In EDS ansehen

The joint weight enumerator of an LCD code and its dual

Gespeichert in:
Bibliographische Detailangaben
Titel: The joint weight enumerator of an LCD code and its dual
Autoren: Dutour Sikirić, Mathieu
Quelle: Discrete applied mathematics. 257:12-18
Verlagsinformationen: 2019.
Publikationsjahr: 2019
Schlagwörter: Linear binary code, Linear programming bounds, LCD code
Beschreibung: A binary linear code is called LCD if it intersects its dual trivially. We show that the coefficients of the joint weight enumerator of such a code with its dual satisfy linear constraints, leading to a new linear programming bound on the size of an LCD code of given length and minimum distance. In addition, we show that this polynomial is, in general, an invariant of a matrix group of dimension 4 and order 12. Also, we sketch a Gleason formula for this weight enumerator.
Publikationsart: Other literature type
ISSN: 0166-218X
DOI: 10.1016/j.dam.2018.10.03210.1016/j.dam.2018.10.032
Dokumentencode: edsair.dris...01492..29edb068e4db713e658c1c866e63de6e
Datenbank: OpenAIRE
FullText Text:
  Availability: 0
CustomLinks:
  – Url: https://resolver.ebscohost.com/openurl?sid=EBSCO:edsair&genre=article&issn=0166218X&ISBN=&volume=257&issue=&date=20190101&spage=12&pages=12-18&title=Discrete applied mathematics&atitle=The%20joint%20weight%20enumerator%20of%20an%20LCD%20code%20and%20its%20dual&aulast=Dutour%20Sikiri%C4%87%2C%20Mathieu&id=DOI:10.1016/j.dam.2018.10.03210.1016/j.dam.2018.10.032
    Name: Full Text Finder
    Category: fullText
    Text: Full Text Finder
    Icon: https://imageserver.ebscohost.com/branding/images/FTF.gif
    MouseOverText: Full Text Finder
  – Url: https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=EBSCO&SrcAuth=EBSCO&DestApp=WOS&ServiceName=TransferToWoS&DestLinkType=GeneralSearchSummary&Func=Links&author=Sikiri%C4%87%20D
    Name: ISI
    Category: fullText
    Text: Nájsť tento článok vo Web of Science
    Icon: https://imagesrvr.epnet.com/ls/20docs.gif
    MouseOverText: Nájsť tento článok vo Web of Science
Header DbId: edsair
DbLabel: OpenAIRE
An: edsair.dris...01492..29edb068e4db713e658c1c866e63de6e
RelevancyScore: 782
AccessLevel: 3
PubType:
PubTypeId: unknown
PreciseRelevancyScore: 782.448608398438
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: The joint weight enumerator of an LCD code and its dual
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Dutour+Sikirić%2C+Mathieu%22">Dutour Sikirić, Mathieu</searchLink>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <i>Discrete applied mathematics</i>. 257:12-18
– Name: Publisher
  Label: Publisher Information
  Group: PubInfo
  Data: 2019.
– Name: DatePubCY
  Label: Publication Year
  Group: Date
  Data: 2019
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Linear+binary+code%22">Linear binary code</searchLink><br /><searchLink fieldCode="DE" term="%22Linear+programming+bounds%22">Linear programming bounds</searchLink><br /><searchLink fieldCode="DE" term="%22LCD+code%22">LCD code</searchLink>
– Name: Abstract
  Label: Description
  Group: Ab
  Data: A binary linear code is called LCD if it intersects its dual trivially. We show that the coefficients of the joint weight enumerator of such a code with its dual satisfy linear constraints, leading to a new linear programming bound on the size of an LCD code of given length and minimum distance. In addition, we show that this polynomial is, in general, an invariant of a matrix group of dimension 4 and order 12. Also, we sketch a Gleason formula for this weight enumerator.
– Name: TypeDocument
  Label: Document Type
  Group: TypDoc
  Data: Other literature type
– Name: ISSN
  Label: ISSN
  Group: ISSN
  Data: 0166-218X
– Name: DOI
  Label: DOI
  Group: ID
  Data: 10.1016/j.dam.2018.10.03210.1016/j.dam.2018.10.032
– Name: AN
  Label: Accession Number
  Group: ID
  Data: edsair.dris...01492..29edb068e4db713e658c1c866e63de6e
PLink https://erproxy.cvtisr.sk/sfx/access?url=https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsair&AN=edsair.dris...01492..29edb068e4db713e658c1c866e63de6e
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1016/j.dam.2018.10.03210.1016/j.dam.2018.10.032
    Languages:
      – Text: Undetermined
    PhysicalDescription:
      Pagination:
        PageCount: 7
        StartPage: 12
    Subjects:
      – SubjectFull: Linear binary code
        Type: general
      – SubjectFull: Linear programming bounds
        Type: general
      – SubjectFull: LCD code
        Type: general
    Titles:
      – TitleFull: The joint weight enumerator of an LCD code and its dual
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Dutour Sikirić, Mathieu
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2019
          Identifiers:
            – Type: issn-print
              Value: 0166218X
            – Type: issn-locals
              Value: edsair
          Numbering:
            – Type: volume
              Value: 257
          Titles:
            – TitleFull: Discrete applied mathematics
              Type: main
ResultId 1