• DocumentCode
    3770451
  • Title

    Cyclic codes over ?4 + u?4

  • Author

    Rama Krishna Bandi;Maheshanand Bhaintwal

  • Author_Institution
    Department of Mathematics, Indian Institute of Technology Roorkee, 247667, India
  • fYear
    2015
  • Firstpage
    47
  • Lastpage
    51
  • Abstract
    In this paper, we study cyclic codes over the ring R = ℤ4 + uℤ4, u2 = 0. We discuss the Galois ring extensions of R and the ideal structure of these extensions. We have studied cyclic codes of odd lengths over R and also presented 1-generator cyclic codes over R interms nth roots of unity. Some examples are given to illustrate the results.
  • Keywords
    "Linear codes","Structural rings","Hafnium","Electronic mail","Modules (abstract algebra)","Hamming weight"
  • Publisher
    ieee
  • Conference_Titel
    Signal Design and its Applications in Communications (IWSDA), 2015 Seventh International Workshop on
  • Electronic_ISBN
    2150-3699
  • Type

    conf

  • DOI
    10.1109/IWSDA.2015.7458411
  • Filename
    7458411
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3770451