• DocumentCode
    2618260
  • Title

    Canonical m-sequences and dual basis generation

  • Author

    Komo, John J. ; Reid, William J., III

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Clemson Univ., SC, USA
  • fYear
    1994
  • fDate
    27 Jun-1 Jul 1994
  • Firstpage
    365
  • Abstract
    An expression for the shift necessary to obtain a canonical m-sequence is obtained in terms of the coefficients of the primitive polynomial that generates this m-sequence. This is also directly related to the shift to obtain the location of the span `100...0´ in the m-sequence. In addition it is shown how to recursively obtain the dual basis elements of the basis expressing GF(qm) over GF(q)
  • Keywords
    Galois fields; binary sequences; polynomials; Galois field; binary sequence; canonical m-sequences; coefficients; dual basis generation; primitive polynomial; shift; Feedback; Galois fields; Out of order; Polynomials;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 1994. Proceedings., 1994 IEEE International Symposium on
  • Conference_Location
    Trondheim
  • Print_ISBN
    0-7803-2015-8
  • Type

    conf

  • DOI
    10.1109/ISIT.1994.394653
  • Filename
    394653
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2618260