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Browsing by Author "Koc, Cetin Kaya"

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    Polynomial Multiplication Over Finite Fields Using Field Extensions and Interpolation
    (Ieee Computer Soc, 2009) Koc, Cetin Kaya; Ozbudak, Ferruh; Cenk, Murat; 220172; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    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.