Improved Three-Way Split Formulas for Binary Polynomial Multiplication

  • Murat Cenk
  • Christophe Negre
  • M. Anwar Hasan
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7118)

Abstract

In this paper we deal with 3-way split formulas for binary field multiplication with five recursive multiplications of smaller sizes. We first recall the formula proposed by Bernstein at CRYPTO 2009 and derive the complexity of a parallel multiplier based on this formula. We then propose a new set of 3-way split formulas with five recursive multiplications based on field extension. We evaluate their complexities and provide a comparison.

Keywords

Critical Path Polynomial Multiplication Elliptic Curve Cryptography Inductive Relation Arithmetic Complexity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Murat Cenk
    • 1
  • Christophe Negre
    • 1
    • 2
    • 3
  • M. Anwar Hasan
    • 1
  1. 1.Department of Electrical and Computer EngineeringUniversity of WaterlooCanada
  2. 2.LIRMMUniversité Montpellier 2France
  3. 3.Team DALIUniversité de PerpignanFrance

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