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Article Citation - WoS: 6Citation - Scopus: 5Finite Number of Fibre Products of Kummer Covers and Curves With Many Points Over Finite Fields(Springer, 2014) Ozbudak, Ferruh; Temur, Burcu GulmezWe 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 - WoS: 7Citation - Scopus: 10Complete Characterization of Some Permutation Polynomials of the Form Xr(1+axs1(q-1)< Over Fq2(Springer, 2023) Ozbudak, Ferruh; Temur, Burcu GulmezWe 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 - WoS: 13Citation - Scopus: 12Classification 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 GulmezWe 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.
