• DocumentCode
    1852875
  • Title

    Quantum Codes of Minimum Distance Three Constructed from Binary Codes of Odd Length

  • Author

    Li, Ruihu ; Chen, Gang

  • Author_Institution
    Dept. of Appl. Math. & Phys., Air Force Eng. Univ., Xi´´an, China
  • fYear
    2010
  • fDate
    22-24 Jan. 2010
  • Firstpage
    395
  • Lastpage
    398
  • Abstract
    We give elementary recursive constructions of a pair of nested binary self-orthogonal codes with dual distance two and three for all odd n ¿ 11. Consequently, good quantum codes of minimum distance three for such length n are obtained via Steane´s construction. Such quantum codes were explicitly constructed before only for a sparse set of lengths.
  • Keywords
    binary codes; error correction codes; orthogonal codes; error correction codes; nested binary self-orthogonal codes; odd length; quantum codes; Binary codes; Educational institutions; Electronic mail; Error correction codes; Mathematics; Physics; Quantum mechanics; Sparse matrices; binary code; quantum error correcting code; self-orthogonal code;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Future Networks, 2010. ICFN '10. Second International Conference on
  • Conference_Location
    Sanya, Hainan
  • Print_ISBN
    978-0-7695-3940-9
  • Electronic_ISBN
    978-1-4244-5667-3
  • Type

    conf

  • DOI
    10.1109/ICFN.2010.20
  • Filename
    5431810