• DocumentCode
    2958544
  • Title

    The rank of Z4 cyclic codes of length 2e

  • Author

    Abualrub, Taher ; Ghrayeb, Ali ; Oehmke, Robert H.

  • Author_Institution
    Dept. of Math. & Stat., Sharjah Univ., United Arab Emirates
  • fYear
    2004
  • fDate
    2004
  • Firstpage
    651
  • Lastpage
    654
  • Abstract
    In this paper, we study cyclic codes of length n = 2e over the ring R4 = Z[x]/(xn - 1). In particular, we study the rank of these codes and derive a closed-form expression for that. Finally, we give an example in which we study all codes of length 8 and classify them according to their type.
  • Keywords
    cyclic codes; error correction codes; closed-form expression; cyclic codes; error correcting coding scheme; Closed-form solution;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control, Communications and Signal Processing, 2004. First International Symposium on
  • Print_ISBN
    0-7803-8379-6
  • Type

    conf

  • DOI
    10.1109/ISCCSP.2004.1296487
  • Filename
    1296487
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2958544