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
Job Title
Profesör Doktor
Email Address
burcu.temur@atilim.edu.tr
ORCID ID
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Scholarly Output
13
Articles
11
Citation Count
26
Supervised Theses
1
13 results
Scholarly Output Search Results
Now showing 1 - 10 of 13
Article Citation Count: 3A specific type of permutation and complete permutation polynomials over finite fields(World Scientific Publ Co Pte Ltd, 2020) Gülmez Temür, Burcu; Temur, Burcu Gulmez; 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 Citation Count: 0On a class of permutation trinomials over finite fields(Tubitak Scientific & Technological Research Council Turkey, 2024) Gülmez Temür, Burcu; Ozkaya, Buket; MathematicsIn this paper, we study the permutation properties of the class of trinomials of the form f (x ) = x( 4q+1 )+ lambda (1 )x (q +4) + lambda( 2 )x (2q +3) is an element of F (q) 2 [x ] , where lambda( 1 ), lambda (2) is an element of F (q) and they are not simultaneously zero. We find all necessary and sufficient conditions on lambda (1) and lambda (2) such that f (x ) permutes F( q )2 , where q is odd and q = 2( 2k+1) , k is an element of N.Article Citation Count: 1FURTHER RESULTS ON FIBRE PRODUCTS OF KUMMER COVERS AND CURVES WITH MANY POINTS OVER FINITE FIELDS(Amer inst Mathematical Sciences-aims, 2016) Gülmez Temür, Burcu; Temur, Burcu Gulmez; Yayla, Oguz; MathematicsWe 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).Article Citation Count: 2Complete characterization of some permutation polynomials of the form xr(1+axs1(q-1)+bxs2(q-1)) over Fq2(Springer, 2023) Gülmez Temür, Burcu; Temur, Burcu Gulmez; MathematicsWe 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.Article Citation Count: 7Classification of permutation polynomials of the form x3g(xq-1) of Fq2 where g(x) = x3 + bx plus c and b, c ∈ Fq*(Springer, 2022) Gülmez Temür, Burcu; Temur, Burcu Gulmez; MathematicsWe 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.Master Thesis Sonlu cisimler üzerinde permutasyon polinomları(2017) Gülmez Temür, Burcu; 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 Citation Count: 0Some permutations and complete permutation polynomials over finite fields(Tubitak Scientific & Technological Research Council Turkey, 2019) Gülmez Temür, Burcu; 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 $\\left.t\\;\\right|\\;q^n-1$.Article Citation Count: 1A short note on permutation trinomials of prescribed type(Taylor & Francis inc, 2020) Akbal, Yıldırım; Temur, Burcu Gulmez; Gülmez Temür, Burcu; 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 Citation Count: 5Finite number of fibre products of Kummer covers and curves with many points over finite fields(Springer, 2014) Gülmez Temür, Burcu; 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 Citation Count: 3Fibre products of Kummer covers and curves with many points(Springer, 2007) Gülmez Temür, Burcu; 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).
