• DocumentCode
    771745
  • Title

    The q-ary image of some qm-ary cyclic codes: permutation group and soft-decision decoding

  • Author

    Lacan, Jérome ; Delpeyroux, Emmanuelle

  • Author_Institution
    Departement de Mathematiques Appliquees et d´´Informatique, ENSICA, Toulouse, France
  • Volume
    48
  • Issue
    7
  • fYear
    2002
  • fDate
    7/1/2002 12:00:00 AM
  • Firstpage
    2069
  • Lastpage
    2078
  • Abstract
    Using a particular construction of generator matrices of the q-ary image of qm-ary cyclic codes, it is proved that some of these codes are invariant under the action of particular permutation groups. The equivalence of such codes with some two-dimensional (2-D) Abelian codes and cyclic codes is deduced from this property. These permutations are also used in the area of the soft-decision decoding of some expanded Reed-Solomon (RS) codes to improve the performance of generalized minimum-distance decoding
  • Keywords
    Reed-Solomon codes; cyclic codes; decoding; linear codes; matrix algebra; set theory; 2D Abelian codes; code length; cyclic codes; expanded RS codes; expanded Reed-Solomon codes; generalized minimum-distance decoding; generator matrices; linear code; permutation group; q-ary image; soft-decision decoding; two-dimensional Abelian codes; vector subspace; Algebra; Decoding; Linear code; Satellites; Two dimensional displays; Vectors;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2002.1013146
  • Filename
    1013146
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=771745