• DocumentCode
    3020898
  • Title

    On Z4- and Z9-linear lifts of the Golay codes

  • Author

    Greferath, M. ; Viterbo, E.

  • Author_Institution
    Shannon Labs., AT&T, Florham Park, NJ, USA
  • fYear
    1999
  • fDate
    1999
  • Firstpage
    117
  • Abstract
    In this paper we investigate Z4-linear and Z9-linear lifts of the extended binary and ternary Golay codes. We introduce weight functions on Z4 and Z9 which reflect previously unknown error-correcting and packing capabilities of these codes. We compare their properties with those of the Hamming, Lee and homogeneous weights and give algebraic decoding schemes using a general decoder
  • Keywords
    Golay codes; binary codes; cyclic codes; decoding; error correction codes; ternary codes; algebraic decoding schemes; error-correcting capabilities; extended binary Golay codes; extended ternary Golay codes; linear lifts; packing capabilities; weight functions; Code standards; Decoding; Error correction; Error correction codes; Hamming weight; Parity check codes; Volume measurement;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory and Communications Workshop, 1999. Proceedings of the 1999 IEEE
  • Conference_Location
    Kruger National Park
  • Print_ISBN
    0-7803-5268-8
  • Type

    conf

  • DOI
    10.1109/ITCOM.1999.781448
  • Filename
    781448
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3020898