• DocumentCode
    1119961
  • Title

    Subquadratic Computational Complexity Schemes for Extended Binary Field Multiplication Using Optimal Normal Bases

  • Author

    Fan, Haining ; Hasan, M. Anwar

  • Author_Institution
    Tsinghua Univ., Beijing
  • Volume
    56
  • Issue
    10
  • fYear
    2007
  • Firstpage
    1435
  • Lastpage
    1437
  • Abstract
    Based on a recently proposed Toeplitz matrix-vector product approach, a subquadratic computational complexity scheme is presented for multiplications in binary extended finite fields using type I and II optimal normal bases.
  • Keywords
    Toeplitz matrices; computational complexity; Toeplitz matrix-vector product approach; binary extended finite fields; extended binary multiplication; optimal normal bases; subquadratic computational complexity schemes; Arithmetic; Computational complexity; Computer applications; Concurrent computing; Delay; Galois fields; Polynomials; Product design; TV; Finite field; normal basis; optimal normal basis; subquadratic computational complexity multiplication;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/TC.2007.1076
  • Filename
    4302715