Published January 1, 2009 | Version v1
Conference paper Open

Polynomial Multiplication over Finite Fields using Field Extensions and Interpolation

  • 1. Cankaya Univ, Dept Math & Comp Sci, Ankara, Turkey
  • 2. Middle East Tech Univ, Dept Math & Inst Appl, Ankara, Turkey

Description

A method for polynomial multiplication over finite fields using field extensions and polynomial interpolation is introduced. The proposed method uses polynomial interpolation as Toom-Cook method together with field extensions. Furthermore, the proposed method can be used when Toom-Cook method cannot be applied directly. Explicit formulae improving the previous results in many cases are obtained.

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