• DocumentCode
    1094951
  • Title

    A theorem for computing primitive elements in the field of complex integers of a characteristic Mersenne prime

  • Author

    Miller, R.L. ; Reed, I.S. ; Truong, T.K.

  • Author_Institution
    California Institute of Technology, Pasadena, CA
  • Volume
    29
  • Issue
    1
  • fYear
    1981
  • fDate
    2/1/1981 12:00:00 AM
  • Firstpage
    119
  • Lastpage
    120
  • Abstract
    A method developed previously [6] for computing primitive elements in GF(q2), where q is a Mersenne prime, is shown not to generalize to other Galois fields. The method will be successful in finding primitive elements of GF(qn) if and only if q is a Mersenne prime and n=2.
  • Keywords
    Acoustic signal processing; Fast Fourier transforms; Galois fields; Laboratories; NASA; Polynomials; Propulsion; Space technology; Speech processing;
  • fLanguage
    English
  • Journal_Title
    Acoustics, Speech and Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0096-3518
  • Type

    jour

  • DOI
    10.1109/TASSP.1981.1163501
  • Filename
    1163501