• DocumentCode
    1464976
  • Title

    Quantum codes from cyclic codes over GF(4m)

  • Author

    Thangaraj, Andrew ; McLaughlin, Steven W.

  • Author_Institution
    Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
  • Volume
    47
  • Issue
    3
  • fYear
    2001
  • fDate
    3/1/2001 12:00:00 AM
  • Firstpage
    1176
  • Lastpage
    1178
  • Abstract
    We provide a construction for quantum codes (Hermitian-self-orthogonal codes over GF(4)) starting from cyclic codes over GF(4m). We also provide examples of these codes some of which meet the known bounds for quantum codes
  • Keywords
    BCH codes; Galois fields; cyclic codes; quantum communication; BCH codes; GF(4m); Hermitian-self-orthogonal codes; code construction; cyclic codes; q-ary images; quantum codes; Galois fields; Information theory; Linear code; Quantum mechanics; Vectors;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.915675
  • Filename
    915675