• DocumentCode
    2986405
  • Title

    Cyclic codes over F2 + vF2

  • Author

    Zhu, Shi-Xin ; Wang, Yu ; Shi, Min-Jia

  • Author_Institution
    Dept. of Appl. Math., Hefei Univ. of Technol., Hefei, China
  • fYear
    2009
  • fDate
    June 28 2009-July 3 2009
  • Firstpage
    1719
  • Lastpage
    1722
  • Abstract
    In this paper, we investigate the structure and properties of cyclic codes over the ring F2 + vF2. We first study the relationship between cyclic codes over F2 + vF2 and binary cyclic codes. Then we prove that cyclic codes over the ring are principally generated, and give the generator polynomial of cyclic codes over the ring. Finally, we obtain the unique idempotent generators for cyclic codes of odd length over F2 + vF2.
  • Keywords
    binary codes; cyclic codes; polynomials; binary cyclic codes; generator polynomial; unique idempotent generators; Binary codes; Code standards; Linear code; Mathematics; Modules (abstract algebra); Cyclic code; Generator matrix; Gray map; Idempotent;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 2009. ISIT 2009. IEEE International Symposium on
  • Conference_Location
    Seoul
  • Print_ISBN
    978-1-4244-4312-3
  • Electronic_ISBN
    978-1-4244-4313-0
  • Type

    conf

  • DOI
    10.1109/ISIT.2009.5205757
  • Filename
    5205757
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2986405