• DocumentCode
    893632
  • Title

    Cyclotomic Goppa codes

  • Author

    Quebbemann, Heinz-georg

  • Author_Institution
    Math. Inst., Munster Univ., West Germany
  • Volume
    34
  • Issue
    5
  • fYear
    1988
  • fDate
    9/1/1988 12:00:00 AM
  • Firstpage
    1317
  • Lastpage
    1320
  • Abstract
    The general Goppa code construction is applied to certain so-called cyclotomic fields of algebraic functions. The resulting codes are metabelian group codes with binary subfield subcodes of minimum distance d≳(1-R)N/log2 log 2N for a given rate R and length N approaching ∞
  • Keywords
    codes; encoding; Goppa code construction; algebraic functions; binary subfield subcodes; cyclotomic fields; metabelian group codes; Geometry; H infinity control; Polynomials; Reed-Solomon codes; Tellurium; Writing;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.21261
  • Filename
    21261
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=893632