• DocumentCode
    861399
  • Title

    Lehmer-based algorithm for computing inverses in Galois fields GF(2m)

  • Author

    Argüello, F.

  • Author_Institution
    Dept. of Electron. & Comput. Sci., Univ. of Santiago, Santiago de Compostela, Spain
  • Volume
    42
  • Issue
    5
  • fYear
    2006
  • fDate
    3/2/2006 12:00:00 AM
  • Firstpage
    270
  • Lastpage
    271
  • Abstract
    An algorithm for computing multiplicative inverses in Galois fields GF(2m) is presented. It is based on Lehmer´s algorithm for computing the greatest common divisor of two integers. The algorithm is designed to be advantageous for Galois fields of large size.
  • Keywords
    Galois fields; digital arithmetic; inverse problems; Galois fields; Lehmer-based algorithm; greatest common divisor; multiplicative inverse computation;
  • fLanguage
    English
  • Journal_Title
    Electronics Letters
  • Publisher
    iet
  • ISSN
    0013-5194
  • Type

    jour

  • DOI
    10.1049/el:20063980
  • Filename
    1604857