• DocumentCode
    86866
  • Title

    Subclass of Cyclic Goppa Codes

  • Author

    Bezzateev, Sergey V. ; Shekhunova, Natalia A.

  • Author_Institution
    St. Petersburg Aerosp. Instrum. Univ., St. Petersburg, Russia
  • Volume
    59
  • Issue
    11
  • fYear
    2013
  • fDate
    Nov. 2013
  • Firstpage
    7379
  • Lastpage
    7385
  • Abstract
    The subclass of cyclic Goppa codes is proposed. It is proved that this subclass contains all cyclic codes of length n|qm±1 with generator polynomial g(x), g(αi)=g(α-j)=0, i=0,1,..., s1, j=1,..., s2, αn=1, α ∈ GF(q2m).
  • Keywords
    Goppa codes; cyclic codes; polynomials; cyclic Goppa codes; generator polynomial; Generators; Materials; Parity check codes; Polynomials; Redundancy; Vectors; Cyclic Goppa codes; Goppa codes; reversible Goppa codes;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2013.2278176
  • Filename
    6582528
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=86866