Gülmez Temür, Burcu

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https://hdl.handle.net/20.500.14411/6804
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Gülmez Temür,B.
Gülmez Temür, Burcu
Gulmez Temur,B.
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Gülmez Temür B.
G. T. Burcu
Burcu Gülmez Temür
Temur B.
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Gulmez Temur, Burcu
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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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Mathematics
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Website
ORCID ID
0000-0002-0435-6894
Scopus Author ID
22136765100
Turkish CoHE Profile ID
D9F6F60C2CCB394E
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WoS Researcher ID
ABF-4807-2021

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13

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62

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14

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16

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14

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22/77

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1

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0

WoS Citation Count

54

Scopus Citation Count

58

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0

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0

WoS Citations per Publication

3.38

Scopus Citations per Publication

3.63

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7

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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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Subject: Permutation polynomials

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Now showing 1 - 6 of 6
  • Thumbnail Image
    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 - Scopus: 3
    Complete Characterization of a Class of Permutation Trinomials in Characteristic Five
    (Springer, 2024) Grassl,M.; Özbudak,F.; Özkaya,B.; Temür,B.G.
    In this paper, we address an open problem posed by Bai and Xia in [2]. We study polynomials of the form f(x)=x4q+1+λ1x5q+λ2xq+4 over the finite field F5k, which are not quasi-multiplicative equivalent to any of the known permutation polynomials in the literature. We find necessary and sufficient conditions on λ1,λ2∈F5k so that f(x) is a permutation monomial, binomial, or trinomial of F52k. © The Author(s) 2024.
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    Article
    Citation - WoS: 2
    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; Mathematics
    In 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.
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    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 ∈
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    Article
    Citation - WoS: 14
    Citation - Scopus: 13
    Classification of Permutation Polynomials of the Form x3< of Fq2< Where g(x< = x3< + bx Plus c and b, c ∈ Fq<
    (Springer, 2022) Ozbudak, Ferruh; Temur, Burcu Gulmez; Gülmez Temür, Burcu
    We classify all permutation polynomials of the form x(3) g(x(q-1)) of F-q2 where g(x) = x(3) + bx + c and b, c is an element of F-q*. Moreover we find new examples of permutation polynomials and we correct some contradictory statements in the recent literature. We assume that gcd(3, q -1) = 1 and we use a well known criterion due to Wan and Lidl, Park and Lee, Akbary and Wang, Wang, and Zieve.
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    Article
    Citation - WoS: 12
    Citation - Scopus: 13
    Classification of Some Quadrinomials Over Finite Fields of Odd Characteristic
    (Academic Press inc Elsevier Science, 2023) Ozbudak, Ferruh; Temur, Burcu Gulmez; Gülmez Temür, Burcu
    In this paper, we completely determine all necessary and sufficient conditions such that the polynomial f(x) = x3 + axq +2 + bx2q +1 + cx3q, where a, b, c is an element of Fq*, is a permutation quadrinomial of Fq2 over any finite field of odd characteristic. This quadrinomial has been studied first in [25] by Tu, Zeng and Helleseth, later in [24] Tu, Liu and Zeng revisited these quadrinomials and they proposed a more comprehensive characterization of the coefficients that results with new permutation quadrinomials, where char(Fq) = 2 and finally, in [16], Li, Qu, Li and Chen proved that the sufficient condition given in [24] is also necessary and thus completed the solution in even characteristic case. In [6] Gupta studied the permutation properties of the polynomial x3 + axq +2 + bx2q +1 + cx3q, where char(Fq) = 3, 5 and a, b, c is an element of Fq* and proposed some new classes of permutation quadrinomials of Fq2 . In particular, in this paper we classify all permutation polynomials of Fq2 of the form f(x) = x3 + axq +2 + bx2q +1 + cx3q, where a, b, c is an element of Fq*, over all finite fields of odd characteristic and obtain several new classes of such permutation quadrinomials. (c) 2022 Elsevier Inc. All rights reserved.