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Browsing Matematik Bölümü Yayın Koleksiyonu by Author "Cenk, Murat"

Browsing Matematik Bölümü Yayın Koleksiyonu by Author "Cenk, Murat"

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  • Efficient multiplication in F-3lm, m >= 1 and 5 <= l <= 18 
    Cenk, Murat; Özbudak, Ferruh (Springer-Verlag Berlin, 2008)
    Using a method based on Chinese Remainder Theorem for polynomial multiplication and suitable reductions, we obtain an efficient multiplication method for finite fields of characteristic 3. Large finite fields of characteristic ...
  • 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 ...
  • Isomorphism classes of ordinary elliptic curves over fields of characteristic 3 
    Cenk, Murat; Özbudak, Ferruh (2007)
    Ordinary elliptic curves over fields of characteristic 3 can be represented by y 2 = x 3 + ax 2 + b where a, b ≠ 0 ∈ . In this paper we count the number of different isomorphism classes of ordinary elliptic curves over ...
  • On Multiplication In Finite Fields 
    Cenk, Murat; Özbudak, Ferruh (Academic Press INC Elsevier Science, 2010-04)
    We present a method for multiplication in finite fields which gives multiplication algorithms with improved or best known bilinear complexities for certain finite fields. Our method generalizes some earlier methods and ...
  • 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. ...