The Berlekamp-Massey Algorithm revisited

  • Nadia Ben Atti
  • Gema M. Diaz–TocaEmail author
  • Henri Lombardi


We propose a slight modification of the Berlekamp-Massey Algorithm for obtaining the minimal polynomial of a given linearly recurrent sequence. Such a modification enables to explain it in a simpler way and to adapt it to lazy evaluation.

Mathematics Subject Classification (2000)

68W30 15A03 


Berlekamp-Massey Algorithm Linearly recurrent sequences 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Nadia Ben Atti
    • 1
  • Gema M. Diaz–Toca
    • 2
    Email author
  • Henri Lombardi
    • 1
  1. 1.Equipe de Mathématiques, CNRS UMR 6623, UFR des Sciences et TechniquesUniversité de Franche-ComtéBesançon cedexFrance
  2. 2.Dpto. de Matematicas AplicadaUniversidad de MurciaSpain

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