Browsing Matematik Bölümü by Author "220172"

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Improved polynomial multiplication formulas over F-2 using chinese remainder theorem

Cenk, Murat; Özbudak, Ferruh (IEEE-Computer Soc, 2009-04)

Let n and l be positive integers and f(x) be an irreducible polynomial over F-2 such that ldeg(f(x)) < 2n - 1. We obtain an effective upper bound for the multiplication complexity of n-term polynomials modulo f(x)(l). This ...
Polynomial multiplication over finite fields using field extensions and interpolation

Cenk, Murat; Koç, Çetin Kaya; Özbudak, Ferruh (IEEE Computer Soc, 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. ...

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