• DocumentCode
    313989
  • Title

    On efficient inversion in tower fields of characteristic two

  • Author

    Fan, John L. ; Paar, Christof

  • Author_Institution
    Dept. of Electr. Eng., Stanford Univ., CA, USA
  • fYear
    1997
  • fDate
    29 Jun-4 Jul 1997
  • Firstpage
    20
  • Abstract
    This contribution presents an efficient recursive method for inversion over tower fields GF(2(n2k)) in terms of operations in GF(2n). A construction for such tower fields is provided, and an exact operation count for inversion is derived, which gives a surprisingly low asymptotic complexity
  • Keywords
    Galois fields; computational complexity; polynomials; recursive functions; asymptotic complexity; characteristic two; efficient inversion; recursive method; tower fields; Equations; Galois fields; Hardware; Poles and towers; Polynomials; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory. 1997. Proceedings., 1997 IEEE International Symposium on
  • Conference_Location
    Ulm
  • Print_ISBN
    0-7803-3956-8
  • Type

    conf

  • DOI
    10.1109/ISIT.1997.612935
  • Filename
    612935