• DocumentCode
    914844
  • Title

    On cyclic codes that are invariant under the general linear group

  • Author

    Delsarte, Philippe

  • Volume
    16
  • Issue
    6
  • fYear
    1970
  • fDate
    11/1/1970 12:00:00 AM
  • Firstpage
    760
  • Lastpage
    769
  • Abstract
    Using a polynomial approach to linear codes, one derives necessary and sufficient conditions for cyclic q -ary codes to be invariant under the general linear group of substitutions over an extension field of GF(q) . The important class of polynomial codes, introduced by Kasami, Lin, and Peterson, satisfy the conditions and several new results are obtained about some of these codes.
  • Keywords
    Cyclic codes; Polynomial codes; Galois fields; Linear code; Manufacturing; Sufficient conditions;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1970.1054554
  • Filename
    1054554
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=914844