Subquadratic Space Complexity Multiplication over Binary Fields with Dickson Polynomial Representation

  • M. Anwar Hasan
  • Christophe Negre
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5130)


We study Dickson bases for binary field representation. Such a representation seems interesting when no optimal normal basis exists for the field. We express the product of two elements as Toeplitz or Hankel matrix vector product. This provides a parallel multiplier which is subquadratic in space and logarithmic in time.


Toeplitz Matrix Irreducible Polynomial Toeplitz Matrice Hankel Matrix Matrix Vector Product 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • M. Anwar Hasan
    • 1
  • Christophe Negre
    • 2
  1. 1.Department of Electrical and Computer EngineeringUniversity of WaterlooCanada
  2. 2.Team DALI/ELIAUSUniversity of PerpignanFrance

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