• DocumentCode
    1197970
  • Title

    A generalisation of the discrete Fourier transform: determining the minimal polynomial of a periodic sequence

  • Author

    Blackburn, Simon R.

  • Author_Institution
    Dept. of Math., R. Holloway & Bedford New Coll., Egham, UK
  • Volume
    40
  • Issue
    5
  • fYear
    1994
  • fDate
    9/1/1994 12:00:00 AM
  • Firstpage
    1702
  • Lastpage
    1704
  • Abstract
    Let s be a periodic sequence whose elements lie in a finite field. The authors present an algorithm that calculates the minimal polynomial of s, assuming that a period of s is known. The algorithm generalises both the discrete Fourier transform and the Games-Chan algorithm
  • Keywords
    codes; computational complexity; fast Fourier transforms; minimisation; polynomials; Games-Chan algorithm; algorithm; discrete Fourier transform; finite field; minimal polynomial; periodic sequence; Discrete Fourier transforms; Fourier transforms; Galois fields; Information security; Mathematics; Polynomials;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.333898
  • Filename
    333898