• DocumentCode
    1311667
  • Title

    Normal basis of the finite field F2(p-1)pm over F2

  • Author

    Wang, Muzhong ; Blake, Ian F.

  • Author_Institution
    Dept. of Electron. Eng., Hong Kong Polytech., Kowloon, Hong Kong
  • Volume
    43
  • Issue
    2
  • fYear
    1997
  • fDate
    3/1/1997 12:00:00 AM
  • Firstpage
    737
  • Lastpage
    739
  • Abstract
    The determination of normal bases for finite fields, particularly over the finite field F2, is of importance in applications such as coding and cryptography. This correspondence gives an explicit normal basis for a finite field F2(p-1)pm over F 2, when 2 is a primitive element module p2. In the case when p=3, an explicit dual basis is also obtained
  • Keywords
    Galois fields; arithmetic; cryptography; encoding; polynomials; coding; cryptography; explicit dual basis; finite field arithmetic; normal basis; primitive element module; Data communication; Error correction; Galois fields; Information theory; Notice of Violation;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.556132
  • Filename
    556132
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1311667