• DocumentCode
    1645606
  • Title

    Cyclic Codes over Finite Rings

  • Author

    Qian, Jianfa

  • Author_Institution
    Coll. of Sci., Anhui Univ. of Sci. & Technol., Huainan, China
  • fYear
    2011
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    A new Gray map between codes over finite rings R = F2 + uF2 + u2F2 and codes over F2 is defined. We prove that the Gray image of a linear (1+u+u2)-cyclic code over R of length n is a binary distance invariant linear cyclic code. We also prove that, if n is odd, then every binary code which is the Gray image of a linear cyclic code over R of length n is equivalent to a cyclic code.
  • Keywords
    Gray codes; binary codes; cyclic codes; linear codes; Gray map; binary distance invariant linear cyclic code; finite ring; linear Gray image; Binary codes; Educational institutions; Lattices; Linear code; Polynomials;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Wireless Communications, Networking and Mobile Computing (WiCOM), 2011 7th International Conference on
  • Conference_Location
    Wuhan
  • ISSN
    2161-9646
  • Print_ISBN
    978-1-4244-6250-6
  • Type

    conf

  • DOI
    10.1109/wicom.2011.6040189
  • Filename
    6040189
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1645606