• DocumentCode
    53863
  • Title

    A Generalized Construction of Extended Goppa Codes

  • Author

    Jibril, Mubarak ; Bezzateev, Sergey V. ; Tomlinson, M. ; Grassl, Markus ; Ahmed, M.Z.

  • Author_Institution
    Nigerian Commun. Satellite Ltd., Abuja, Nigeria
  • Volume
    60
  • Issue
    9
  • fYear
    2014
  • fDate
    Sept. 2014
  • Firstpage
    5296
  • Lastpage
    5303
  • Abstract
    We present a generalized construction of extended length Goppa codes. Using this construction, we obtain 71 new codes in finite field Fq for q = 4, 7, 8, 9 with better minimum distance than the previously known codes with the same length and dimension.
  • Keywords
    Goppa codes; extended length Goppa codes; finite field; generalized construction; Educational institutions; Electronic mail; Linear codes; Parity check codes; Polynomials; Redundancy; BCH; Goppa; Reed Solomon; error correction;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2014.2330814
  • Filename
    6834829
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=53863