• DocumentCode
    2899778
  • Title

    Gray Map and Quantum Codes over the Ring F_2+uF_2+u^2F_2

  • Author

    Yin, Xunru ; Ma, Wenping

  • fYear
    2011
  • fDate
    16-18 Nov. 2011
  • Firstpage
    897
  • Lastpage
    899
  • Abstract
    In this paper, by denning the Lee distance and the Lee weight of linear codes over the ring R = F2 +uF2 + u2F2, we construct a Gray map which is both an isometry and a weight-preserving map from Rn to F23n. In addition, using the proposed Gray map, we give an existence condition of quantum codes which are derived from cyclic codes over R with the Lee metric.
  • Keywords
    Gray codes; cyclic codes; linear codes; Gray map code; Lee distance; Lee weight; cyclic codes; linear codes; quantum codes; ring F2 + uF2 + u2F2; weight-preserving map; Educational institutions; Error correction codes; Hamming weight; Linear code; Measurement; Polynomials; Quantum mechanics; Lee distance; Lee weight; gray map; quantum codes;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Trust, Security and Privacy in Computing and Communications (TrustCom), 2011 IEEE 10th International Conference on
  • Conference_Location
    Changsha
  • Print_ISBN
    978-1-4577-2135-9
  • Type

    conf

  • DOI
    10.1109/TrustCom.2011.122
  • Filename
    6120915
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2899778