• DocumentCode
    847786
  • Title

    A Group Ring Construction of the Extended Binary Golay Code

  • Author

    McLoughlin, Ian ; Hurley, Ted

  • Author_Institution
    Nat. Univ. of Ireland, Galway
  • Volume
    54
  • Issue
    9
  • fYear
    2008
  • Firstpage
    4381
  • Lastpage
    4383
  • Abstract
    We give a new construction of the extended binary Golay code. The code is constructed as a zero divisor code over the dihedral group of twenty-four elements, D 24. The construction is algebraic, much like the construction of the (23,12,7) binary Golay code from a polynomial.
  • Keywords
    Golay codes; block codes; cyclic codes; group theory; extended binary Golay code; group ring construction; Binary codes; Block codes; Councils; Decoding; Linear algebra; Mathematics; Terminology; Vectors; Block codes; Golay codes; dual codes; group theory; rings (algebraic);
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2008.928260
  • Filename
    4608985
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=847786