• DocumentCode
    1324803
  • Title

    Direct hardware solution to quadratic equation Z2 ⊕Z⊕β=0 in Galois fields based on normal basis representation

  • Author

    Shayan, Yousef R. ; Tho Le-Ngoc

  • Author_Institution
    Concordia Univ., Montreal, Que.
  • Volume
    24
  • Issue
    14
  • fYear
    1988
  • fDate
    7/7/1988 12:00:00 AM
  • Firstpage
    847
  • Lastpage
    848
  • Abstract
    Normal basis representation is considered to represent the elements of Galois fields. The quadratic equation, Z2⊕Z⊕β=0, is solved directly and a new, simple, regular and expandable hardware structure is introduced to solve this equation. The main advantage of this structure over the structures in non-normal basis representations is its independence from generating polynomial of the field
  • Keywords
    error correction codes; information theory; logic design; Galois fields; direct hardware solution; expandable hardware structure; independence from generating polynomial; normal basis representation; quadratic equation; regular hardware structure;
  • fLanguage
    English
  • Journal_Title
    Electronics Letters
  • Publisher
    iet
  • ISSN
    0013-5194
  • Type

    jour

  • Filename
    8375
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1324803