• DocumentCode
    3414241
  • Title

    A class of imprimitive BCH codes and new quantum codes

  • Author

    Liu, Yang ; Ma, Yuena ; Li, Ruihu ; Feng, Youqian

  • Author_Institution
    Coll. of Sci., Air Force Eng. Univ., Xi´´an, China
  • fYear
    2012
  • fDate
    24-26 Aug. 2012
  • Firstpage
    222
  • Lastpage
    225
  • Abstract
    Let q be a prime power, l ≥ 2 be even, n=(q-1)(qil-1)/(qi-1). We give necessary and sufficient conditions on dual containing q-ary narrow-sense BCH codes of length n, and improve previous upper bound on necessary condition. We present a family of dual containing non-narrow-sense BCH codes of length n including the BCH code with maximal designed distance, calculate their dimensions and use them to construct new quantum codes, which are better than those constructed from narrow-sense BCH codes.
  • Keywords
    BCH codes; quantum communication; imprimitive BCH codes; nonnarrow-sense BCH codes; prime power; q-ary narrow-sense BCH codes; quantum codes; BCH (Bose-Chaudhuri-Hocquenghem) codes; cyclotomic coset; dual codes; quantum codes;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Science and Information Processing (CSIP), 2012 International Conference on
  • Conference_Location
    Xi´an, Shaanxi
  • Print_ISBN
    978-1-4673-1410-7
  • Type

    conf

  • DOI
    10.1109/CSIP.2012.6308834
  • Filename
    6308834
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3414241