• DocumentCode
    355879
  • Title

    Euclid´s algorithm and LFSR synthesis

  • Author

    Udaya, P.

  • Author_Institution
    Dept. of Comput. Sci. & Software Eng., Melbourne Univ., Parkville, Vic., Australia
  • fYear
    2000
  • fDate
    2000
  • Firstpage
    420
  • Abstract
    We consider two methods of Euclid´s algorithm to solve the linear feedback shift register (LFSR) synthesis problem. One of the methods is identically equivalent to the celebrated Berlekamp-Massey (B-M) algorithm. The other method is distinctly Euclidean. The formulation of the problem from Euclid´s algorithm leads to the characterization of the LFSR synthesis for the reverse sequence given the LFSR synthesis for the forward sequence
  • Keywords
    binary sequences; Berlekamp-Massey algorithm; Euclid´s algorithm; Euclidean method; LFSR synthesis; forward sequence; linear feedback shift register synthesis; reverse sequence; Algorithm design and analysis; Australia Council; Computer science; Feedback; Galois fields; Polynomials; Software algorithms; Software engineering; Tin;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 2000. Proceedings. IEEE International Symposium on
  • Conference_Location
    Sorrento
  • Print_ISBN
    0-7803-5857-0
  • Type

    conf

  • DOI
    10.1109/ISIT.2000.866718
  • Filename
    866718