• DocumentCode
    1304300
  • Title

    The trace description of irreducible quasi-cyclic codes

  • Author

    Seguin, G.E. ; Drolet, G.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., R. Military College, Kingston, Ont., Canada
  • Volume
    36
  • Issue
    6
  • fYear
    1990
  • fDate
    11/1/1990 12:00:00 AM
  • Firstpage
    1463
  • Lastpage
    1466
  • Abstract
    The notion of a q-ary irreducible quasi-cyclic code of block length n and index r is introduced. A trace description of such a code is provided in a fashion similar to the trace description of irreducible cyclic codes. In particular, it is shown that an irreducible quasi-cyclic code of dimension k is completely described by an irreducible cyclic code and r elements from a field of cardinality qk. Using this fact, a number of binary irreducible quasi-cyclic codes of index 2 are constructed and their weight spectra obtained
  • Keywords
    error correction codes; binary codes; irreducible quasi-cyclic code; q-ary codes; trace description; weight spectra; Councils; Decoding; Military computing; Parity check codes;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.59946
  • Filename
    59946
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1304300