Gülmez Temür, Burcu
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Gülmez Temür,B.
Gülmez Temür, Burcu
Gulmez Temur,B.
B., Gulmez Temur
Gülmez Temür B.
G. T. Burcu
Burcu Gülmez Temür
Temur B.
G.T.Burcu
B.,Gulmez Temur
Gulmez Temur,Burcu
B.,Gülmez Temür
B., Gülmez Temür
Gulmez Temur, Burcu
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Burcu, Gulmez Temur
Burcu, Gülmez Temür
G.,Burcu
Temur, Burcu Gulmez
Temür, Burcu Gülmez
Temur, Burcu Guelmez
Gülmez Temür, Burcu
Gulmez Temur,B.
B., Gulmez Temur
Gülmez Temür B.
G. T. Burcu
Burcu Gülmez Temür
Temur B.
G.T.Burcu
B.,Gulmez Temur
Gulmez Temur,Burcu
B.,Gülmez Temür
B., Gülmez Temür
Gulmez Temur, Burcu
G., Burcu
Burcu, Gulmez Temur
Burcu, Gülmez Temür
G.,Burcu
Temur, Burcu Gulmez
Temür, Burcu Gülmez
Temur, Burcu Guelmez
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Profesör Doktor
Email Address
burcu.temur@atilim.edu.tr
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Scholarly Output
14
Articles
12
Citation Count
26
Supervised Theses
1
14 results
Scholarly Output Search Results
Now showing 1 - 10 of 14
Master Thesis Sonlu Cisimler Üzerinde Permutasyon Polinomları(2017) Asad, Maha M.m. Dabboor; Temür, Burcu Gülmez; MathematicsBu tezde sonlu cisimlerdeki permutasyon polinomları uzerine c¸alıs¸tık. Sonlu cisimler ¨ uzerinde tanımlanmıs¸ bazı permutasyon polinom tiplerinin olus¸turulması ve sınıflandı- ¨ rılması ile ilgili son zamanlarda yapılmıs¸ birtakım aras¸tırma sonuc¸larını derledik.Article A Short Note on Permutation Trinomials of Prescribed Type(Taylor & Francis inc, 2020) Akbal, Yildirim; Temur, Burcu Gulmez; Ongan, Pinar; MathematicsWe show that there are no permutation trinomials of the form hox 1/4 x5 ox5oq1 xq1 1 over Fq2 where q is not a power of 2. Together with a result of Zha, Z., Hu, L., Fan, S., hox permutes Fq2 if q 1/4 2k where k 2 omod 4, this gives a complete classification of those q's such that hox permutes F-q(2).Article Some Permutations and Complete Permutation Polynomials Over Finite Fields(Tubitak Scientific & Technological Research Council Turkey, 2019) Ongan, Pınar; Temür, Burcu Gülmez; MathematicsIn this paper we determine $b\\in F_{q^n}^\\ast$ for which the polynomial $f(x)=x^{s+1}+bx\\in F_{q^n}\\left[x\\right]$ is a permutationpolynomial and determine $b\\in F_{q^n}^\\ast$ for which the polynominal $f(x)=x^{s+1}+bx\\in F_{q^n}\\left[x\\right]$ is a complete permutationpolynomial where $s=\\frac{q^n-1}t,\\;t\\in\\mathbb{Z}^+$ such that $\\left.t\\;\\right|\\;q^n-1$.Conference Object On Fibre Products of Kummer Curves With Many Rational Points Over Finite Fields(Springer-verlag Berlin, 2015) Ozbudak, Ferruh; Temur, Burcu Gulmez; Yayla, Oguz; MathematicsWe determined the number of rational points of fibre products of two Kummer covers over a rational point of the projective line in a recent work of F. Ozbudak and B. G. Temur (Des Codes Cryptogr 70(3): 385-404, 2014), where we also constructed explicit examples, including a record and two new entries for the current Table of Curves with Many Points (manYPoints: Table of curves with many points. http://www.manypoints.org (2014). Accessed 30 Sep 2014). Using the methods given in Ozbudak and Gulmez Temur (Des Codes Cryptogr 70(3): 385-404, 2014), we made an exhaustive computer search over F-5 and F-7 by the contributions of O. Yayla and at the end of this search we obtained 12 records and 6 new entries for the current table; in particular, we observed that the fibre product with genus 7 and 36 rational points coincides with the Ihara bound, thus we concluded that the maximum number N-7(7) of F-7-rational points among all curves of genus 7 is 36 (Ozbudak et al., Turkish J Math 37(6): 908-913, 2013). Recently, we made another exhaustive computer search over F-11. In this paper we are representing the results as three records and three new entries for the current table.Article Finite Number of Fibre Products of Kummer Covers and Curves With Many Points Over Finite Fields(Springer, 2014) Ozbudak, Ferruh; Temur, Burcu Gulmez; MathematicsWe study fibre products of a finite number of Kummer covers of the projective line over finite fields. We determine the number of rational points of the fibre product over a rational point of the projective line, which improves the results of Ozbudak and Temur (Appl Algebra Eng Commun Comput 18:433-443, 2007) substantially. We also construct explicit examples of fibre products of Kummer covers with many rational points, including a record and two new entries for the current table (http://www.manypoints.org, 2011).Article Fibre Products of Kummer Covers and Curves With Many Points(Springer, 2007) Oebudak, Ferruh; Temur, Burcu Guelmez; MathematicsWe study the general fibre product of any two Kummer covers of the projective line over finite fields. Under some assumptions, we obtain an involved condition for the existence of rational points in the fibre product over a rational point of the projective line so that we determine the exact number of the rational points. Using this, we construct explicit examples of such fibre products with many rational points. In particular we obtain a record and a new entry for the table (http://www.science.uva.nl/(similar to)geer/tables-mathcomp15.ps).Article An exhaustive computer search for finding new curves with many points among fibre products of two Kummer covers over F5 and F7(Tubitak Scientific & Technological Research Council Turkey, 2013) Ozbudak, Ferruh; Temur, Burcu Gulmez; Yayla, Oguz; MathematicsIn this paper we make an exhaustive computer search for finding new curves with many points among fibre products of 2 Kummer covers of the projective line over F-5 and F-7. At the end of the search, we have 12 records and 6 new entries for the current Table of Curves with Many Points. In particular, we observe that the fibre product y(1)(3)= 5(x + 2)(x + 5)/x, y(2)(3)= 3x(2()x + 5)/x + 3 over F-7 has genus 7 with 36 rational points. As this coincides with the Ihara bound, we conclude that the maximum number N-7(7) of F-7-rational points among all curves of genus 7 is 36. Our exhaustive search has been possible because of the methods given in the recent work by Ozbudak and Temur (2012) for determining the number of rational points of such curves.Article An Exhaustive Computer Search for Finding New Curves With Many Points Among Fibre Products of Two Kummer Covers Over $\\bbb{f}_5$ and $\\bbb{f}_7$(2013) Özbudak, Ferruh; Temür, Burcu Gülmez; Yayla, Oğuz; MathematicsIn this paper we make an exhaustive computer search for finding new curves with many points among fibre products of 2 Kummer covers of the projective line over F5 and F7 . At the end of the search, we have 12 records and 6 new entries for the current Table of Curves with Many Points. In particular, we observe that the fibre product $y^3_1$ = $\\frac {5(x+2)(x +5)} {x}$, $y^3_2$ $\\frac {3x^2(x +5)} {x + 3}$ over F7 has genus 7 with 36 rational points. As this coincides with the Ihara bound, we conclude that the maximum number N7 (7) of F7 -rational points among all curves of genus 7 is 36. Our exhaustive search has been possible because of the methods given in the recent work by Özbudak and Temür (2012) for determining the number of rational points of such curves.Article A Specific Type of Permutation and Complete Permutation Polynomials Over Finite Fields(World Scientific Publ Co Pte Ltd, 2020) Ongan, Pinar; Gülmez Temür, Burcu; Temur, Burcu Gulmez; Gülmez Temür, Burcu; Mathematics; MathematicsIn this paper, we study polynomials of the form f(x) = x (qn-1/q-1+1) + bx is an element of F-qn[x], where n = 5 and list all permutation polynomials (PPs) and complete permutation polynomials (CPPs) of this form. This type of polynomials were studied by Bassalygo and Zinoviev for the cases n = 2 and n = 3, Wu, Li, Helleseth and Zhang for the case n = 4, p not equal 2, Bassalygo and Zinoviev answered the question for the case n = 4, p= 2 and finally by Bartoli et al. for the case n = 6. Here, we determine all PPs and CPPs for the case n = 5.Article On a Class of Permutation Trinomials Over Finite Fields(Tubitak Scientific & Technological Research Council Turkey, 2024) Temür, Burcu Gülmez; Özkaya, Buket; MathematicsIn this paper, we study the permutation properties of the class of trinomials of the form f (x) = x4q+1 + λ1xq+4 + λ2x2q+3 ∈ Fq2 [x] , where λ1, λ2 ∈ Fq and they are not simultaneously zero. We find all necessary and sufficient conditions on λ1 and λ2 such that f (x) permutes Fq2 , where q is odd and q = 22k+1, k ∈
