Gülmez Temür, Burcu

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Profile URL
https://hdl.handle.net/20.500.14411/6804
Name Variants
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
G., Burcu
Burcu, Gulmez Temur
Burcu, Gülmez Temür
G.,Burcu
Temur, Burcu Gulmez
Temür, Burcu Gülmez
Temur, Burcu Guelmez
Job Title
Profesör Doktor
Email Address
burcu.temur@atilim.edu.tr
Main Affiliation
Mathematics
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Website
ORCID ID
0000-0002-0435-6894
Scopus Author ID
22136765100
Turkish CoHE Profile ID
D9F6F60C2CCB394E
Google Scholar ID
WoS Researcher ID
ABF-4807-2021

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Documents

13

Citations

60

h-index

4

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Documents

14

Citations

56

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Scholarly Output

15

Articles

13

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32/561

Supervised MSc Theses

1

Supervised PhD Theses

0

WoS Citation Count

52

Scopus Citation Count

53

WoS h-index

4

Scopus h-index

4

Patents

0

Projects

0

WoS Citations per Publication

3.47

Scopus Citations per Publication

3.53

Open Access Source

6

Supervised Theses

1

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JournalCount
Turkish Journal of Mathematics3
Designs, Codes and Cryptography2
Applicable Algebra in Engineering, Communication and Computing1
Communications in Algebra1
Cryptography and Communications1
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Scholarly Output Search Results

Now showing 1 - 10 of 15
  • Thumbnail Image
    Article
    Citation - WoS: 6
    Citation - Scopus: 5
    Finite Number of Fibre Products of Kummer Covers and Curves With Many Points Over Finite Fields
    (Springer, 2014) Ozbudak, Ferruh; Temur, Burcu Gulmez
    We 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).
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    Article
    Citation - WoS: 3
    Citation - Scopus: 3
    Fibre Products of Kummer Covers and Curves With Many Points
    (Springer, 2007) Oebudak, Ferruh; Temur, Burcu Guelmez
    We 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).
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    Article
    Citation - WoS: 1
    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
    In 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.
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    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
    We 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.
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    Article
    Citation - WoS: 1
    Citation - Scopus: 1
    On Some Permutation Trinomials in Characteristic Three
    (Hacettepe Univ, Fac Sci, 2025) Temür, Burcu Gülmez; Özkaya, Buket
    In this paper, we determine the permutation properties of the polynomial x3 +xq+2 −x4q−1 over the finite field Fq2 in characteristic three. Moreover, we consider the trinomials of the form x4q−1 + x2q+1 ± x3. In particular, we first show that x3 + xq+2 − x4q−1 permutes Fq2 with q = 3m if and only if m is odd. This enables us to show that the sufficient condition in [34, Theorem 4] is also necessary. Next, we prove that x4q−1 + x2q+1 − x3 permutes Fq2 with q = 3m if and only if m ̸≡ 0 (mod 4). Consequently, we prove that the sufficient condition in [20, Theorem 3.2] is also necessary. Finally, we investigate the trinomial x4q−1 + x2q+1 + x3 and show that it is never a permutation polynomial of Fq2 in any characteristic. All the polynomials considered in this work are not quasi-multiplicative equivalent to any known class of permutation trinomials.
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    Article
    Citation - WoS: 2
    Citation - Scopus: 3
    A Short Note on Permutation Trinomials of Prescribed Type
    (Taylor & Francis inc, 2020) Akbal, Yildirim; Temur, Burcu Gulmez; Ongan, Pinar
    We 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).
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    Article
    Citation - WoS: 2
    Citation - Scopus: 2
    Further Results on Fibre Products of Kummer Covers and Curves With Many Points Over Finite Fields
    (Amer inst Mathematical Sciences-aims, 2016) Ozbudak, Ferruh; Temur, Burcu Gulmez; Yayla, Oguz
    We study fibre products of an arbitrary number of Kummer covers of the projective line over F-q under suitable weak assumptions. If q - 1 = r(n) for some prime r, then we completely determine the number of rational points over a rational point of the projective line. Using this result we obtain explicit examples of fibre products of three Kummer covers supplying new entries for the current table of curves with many points (http://www.manypoints.org,October 31 2015).
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    Article
    Citation - WoS: 7
    Citation - Scopus: 10
    Complete Characterization of Some Permutation Polynomials of the Form Xr(1+axs1(q-1)< Over Fq2
    (Springer, 2023) Ozbudak, Ferruh; Temur, Burcu Gulmez
    We completely characterize all permutation trinomials of the form f (x) = x(3)(1 + ax(q-1) + bx(2(q-1))) over F-q2, where a, b is an element of F-q* and all permutation trinomials of the form f (x) = x(3)(1 + bx(2(q-1)) + cx(3(q-1))) over F-q2, where b, c is an element of F-q* in both even and odd characteristic cases.
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    Master Thesis
    Sonlu Cisimler Üzerinde Permutasyon Polinomları
    (2017) Asad, Maha M.m. Dabboor; Temür, Burcu Gülmez
    Bu 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.
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    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
    In 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.