• DocumentCode
    2214562
  • Title

    Cyclic codes and self-dual codes over M2(F2) and M2(F2[i])

  • Author

    Sboui, H. ; Bouallegue, A. ; Solé, P.

  • Author_Institution
    Lab. des Syst. de Commun., Telecom ParisTech, Paris, France
  • fYear
    2011
  • fDate
    8-10 Sept. 2011
  • Firstpage
    249
  • Lastpage
    251
  • Abstract
    In this paper, we study cyclic self dual codes over the finite ring M2(F2) and M2(F2[i]) by analogy with the ℤ4 case. We give the factorization of X7 + 1 over M2(F2) and we propose a new factorization of Xm + 1 over M2(F2[i]) for tow coprime polynomials.
  • Keywords
    cyclic codes; dual codes; polynomials; cyclic codes; finite ring; self-dual codes; tow coprime polynomials; Algebra; Indexes; Linear code; MIMO; Modulation; Polynomials; Cyclic Codes; Dual-Code; Finite Ring; Self-Dual Codes over rings; The Finite Ring M2(F2);
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Mediterranean Microwave Symposium (MMS), 2011 11th
  • Conference_Location
    Hammamet
  • ISSN
    2157-9822
  • Print_ISBN
    978-1-4577-1814-4
  • Electronic_ISBN
    2157-9822
  • Type

    conf

  • DOI
    10.1109/MMS.2011.6068573
  • Filename
    6068573
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2214562