Polynomial Multiplication over Finite Fields Using Field Extensions and Interpolation
Murat Cenk, Çetin Kaya Koç, Ferruh Özbudak · 2009
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.