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
Status
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

62

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4

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Documents

14

Citations

58

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Scholarly Output

16

Articles

14

Views / Downloads

22/76

Supervised MSc Theses

1

Supervised PhD Theses

0

WoS Citation Count

54

Scopus Citation Count

58

Patents

0

Projects

0

WoS Citations per Publication

3.38

Scopus Citations per Publication

3.63

Open Access Source

7

Supervised Theses

1

JournalCount
Turkish Journal of Mathematics3
Cryptography and Communications2
Designs, Codes and Cryptography2
Communications in Algebra1
Finite Fields and Their Applications1
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Scholarly Output Search Results

Now showing 1 - 3 of 3
  • Thumbnail Image
    Article
    Citation - WoS: 1
    Citation - Scopus: 1
    On Some Permutation Trinomials in Characteristic Three
    (Hacettepe Univ, Fac Sci, 2025) Temür, Burcu Gülmez; Özkaya, Buket; Gülmez Temür, Burcu
    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.
  • Thumbnail Image
    Article
    On a Class of Permutation Trinomials Over Finite Fields
    (Tubitak Scientific & Technological Research Council Turkey, 2024) Temür, Burcu Gülmez; Özkaya, Buket
    In 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 ∈
  • Thumbnail Image
    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.