• DocumentCode
    774336
  • Title

    On the generators of Z4 cyclic codes of length 2e

  • Author

    Abualrub, Taher ; Oehmke, Robert

  • Author_Institution
    Dept. of Math., American Univ. of Sharjah, United Arab Emirates
  • Volume
    49
  • Issue
    9
  • fYear
    2003
  • Firstpage
    2126
  • Lastpage
    2133
  • Abstract
    Results are presented on the generators of ideals in the ring Z4[x]/(xn-1). In particular, each ideal (cyclic code) has a unique distinguished set of generators that characterizes any cyclic code. Some results about dual codes are also included.
  • Keywords
    binary codes; cyclic codes; dual codes; linear codes; binary linear codes; code length; cyclic code generators; dual codes; gray map; Additives; Binary codes; Character generation; Cities and towns; Code standards; Linear code; Mathematics; Parity check codes; Polynomials;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2003.815763
  • Filename
    1226599
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=774336