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Cenk, Murat

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https://hdl.handle.net/20.500.12416/9094
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Öğr. Gör. Dr.
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Main Affiliation
Matematik
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Former Staff
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Scholarly Output

6

Articles

3

Views / Downloads

847/24

Supervised MSc Theses

1

Supervised PhD Theses

0

WoS Citation Count

48

Scopus Citation Count

66

WoS h-index

4

Scopus h-index

4

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0

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0

WoS Citations per Publication

8.00

Scopus Citations per Publication

11.00

Open Access Source

1

Supervised Theses

1

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JournalCount
19th IEEE Symposium on Computer Arithmetic (ARITH 2009) -- JUN 08-10, 2009 -- Portland, OR1
1st International Conference on Cryptology in Africa -- JUN 11-14, 2008 -- Casablanca, MOROCCO1
IEEE Transactions on Computers1
Journal of Complexity1
Mathematical Methods in Engineering1
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Now showing 1 - 6 of 6
  • Thumbnail Image
    Master Thesis
    New geometrical aspects of constrained system
    (2003) Cenk, Murat
    Bağıl sistemler yeni bir geometrik bakışla incelendi ve integrallenebilir geometrilerin yüzey terimlerinin önemi vurgulandı. Klasik mekaniğin geometrik formülasyonu ve simplektik geometri kısaca sunuldu
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    Article
    Isomorphism classes of ordinary elliptic curves over fields of characteristic 3
    (2007) Cenk, Murat; Özbudak, Ferruh
    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 finite fields of characteristic three. We show there are (2q−2) different isomorphism classes.
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    Article
    Citation - WoS: 12
    Citation - Scopus: 17
    Improved Polynomial Multiplication Formulas Over F2 Using Chinese Remainder Theorem
    (Ieee Computer Soc, 2009) Ozbudak, Ferruh; Cenk, Murat
    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 upper bound allows a better selection of the moduli when the Chinese Remainder Theorem is used for polynomial multiplication over F-2. We give improved formulas to multiply polynomials of small degree over F-2. In particular, we improve the best known multiplication complexities over F-2 in the literature in some cases.
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    Article
    Citation - WoS: 22
    Citation - Scopus: 27
    On Multiplication in Finite Fields
    (Academic Press inc Elsevier Science, 2010) Ozbudak, Ferruh; Cenk, Murat
    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 combines them with the recently introduced complexity notion (M) over cap (q)(l), which denotes the minimum number of multiplications needed in F-q in order to obtain the coefficients of the product of two arbitrary l-term polynomials modulo x(l) in F-q[x]. We study our method for the finite fields F(q)n, where 2 <= n <= 18 and q = 2, 3,4 and we improve or reach the currently best known bilinear complexities. We also give some applications in cryptography. (C) 2010 Published by Elsevier Inc.
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    Conference Object
    Citation - WoS: 9
    Citation - Scopus: 14
    Polynomial Multiplication Over Finite Fields Using Field Extensions and Interpolation
    (Ieee Computer Soc, 2009) Koc, Cetin Kaya; Ozbudak, Ferruh; Cenk, Murat
    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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    Conference Object
    Citation - WoS: 5
    Citation - Scopus: 8
    Efficient Multiplication in F3lm, M≥1 and 5≤l≤18
    (Springer-verlag Berlin, 2008) Ozbudak, Ferruh; Cenk, Murat
    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 3 are important for pairing based cryptography [3]. For 5 <= l <= 18, we show that our method gives canonical multiplication formulae over F-3lm for any m >= 1 with the best multiplicative complexity improving the bounds in [6]. We give explicit formula in the case F-36.97.