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Ferruh Özbudak
E-mail
ozbudak@metu.edu.tr
Department
Department of Mathematics
ORCID
0000-0002-1694-9283
Scopus Author ID
6603589033
Web of Science Researcher ID
AAZ-6893-2020
Publications
Theses Advised
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Classification of some quadrinomials over finite fields of odd characteristic
Özbudak, Ferruh; Gulmez Temur, B. or Temur (2023-03-01)
In this paper, we completely determine all necessary and sufficient conditions such that the polynomialf(x)=x3+axq+2+bx2q+1+cx3q" role="presentation" style="margin: 0px; padding: 0px; display: inline-block; line-height: no...
Sonlu cisimler üzerindeki x^k-cx-d polinomlarının iki uygulaması üzerine ve daha fazlası
İrimağzı, Canberk; Özbudak, Ferruh (Springer, Cham, 2023-1-11)
For integers k∈[2,q−2] coprime to q−1 , we first bound the number of zeroes of the family of polynomials xk−cx−d∈Fq[x] where q=2n such that q−1 is a prime or q=3n such that (q−1)/2 is a prime. This gives us bounds on...
On two applications of polynomials x^k-cx-d over finite fields and more
İrimağzı, Canberk; Özbudak, Ferruh (Springer, Cham, 2023-01-01)
For integers k∈[2,q−2] coprime to q−1 , we first bound the number of zeroes of the family of polynomials xk−cx−d∈Fq[x] where q=2n such that q−1 is a prime or q=3n such that (q−1)/2 is a prime. This gives us bounds on...
Complete characterization of some permutation polynomials of the form xr(1+axs1(q-1)+bxs2(q-1)) over Fq2
Özbudak, Ferruh; Temür, Burcu Gülmez (2023-01-01)
We completely characterize all permutation trinomials of the form f(x) = x3(1 + axq-1+ bx2(q-1)) over Fq2, where a,b∈Fq∗ and all permutation trinomials of the form f(x) = x3(1 + bx2(q-1)+ cx3(q-1)) over Fq2, where b,c∈Fq∗ ...
Boomerang uniformity of power permutations and algebraic curves over F2n
Mesnager, Sihem; Özbudak, Ferruh (2023-01-01)
We obtain the Boomerang Connectivity Table of power permutations F(x)=x2m-1 of F2n with m ∈ {3, n-1/2, n+1/2, n-2}. In particular, we obtain the Boomerang uniformity and the Boomerang uniformity set of F(x) at b∈F2n\F2. Mo...
Optimal Binary Linear Complementary Pairs of Codes
Choi, Whan-Hyuk; GÜNERİ, CEM; Kim, Jon-Lark; Özbudak, Ferruh (2022-11-01)
A pair of linear codes (C, D) of length n over F-q is called a linear complementary pair (LCP) if their direct sum yields the full space F-q(n). By a result of Carlet et al. (2019), the best security parameters of binary L...
Additive cyclic complementary dual codes over F4
Shi, Minjia; Liu, Na; Özbudak, Ferruh; Solé, Patrick (2022-10-01)
© 2022 Elsevier Inc.An additive cyclic code of length n over F4 can be defined equivalently as an F2[x]/〈xn+1〉-submodule of F4[x]/〈xn+1〉. In this paper we study additive cyclic and complementary dual codes of odd length ov...
Classification of permutation polynomials of the form x3g(xq-1) of Fq2 where g(x) = x3+ bx+ c and b,c∈Fq∗
Özbudak, Ferruh; Gülmez Temür, Burcu (2022-07-01)
© 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.We classify all permutation polynomials of the form x3g(xq-1) of Fq2 where g(x) = x3+ bx+ c and b,c∈Fq∗. Moreo...
Construction of self dual codes from graphs
Fellah, Nazahet; Guenda, Kenza; Özbudak, Ferruh; Seneviratne, Padmapani (2022-07-01)
In this work we define and study binary codes C-q,C-k and (C-q,C-k) over bar obtained from neighbor- hood designs of Paley-type bipartite graphs P(q, k) and their complements, respectively for q an odd prime. We prove that...
EUCLIDEAN POLYNOMIALS FOR CERTAIN ARITHMETIC PROGRESSIONS AND THE MULTIPLICATIVE GROUP OF F-p2
Berktav, Kadri İlker; Özbudak, Ferruh (2022-06-01)
Let f(x) be a polynomial with integer coefficients. We say that the prime p is a prime divisor of f(x) if p divides f(m) some integer m. For each positive integer n, we give an explicit construction of a polynomial all of ...
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