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Ferruh Özbudak

E-mail
ozbudak@metu.edu.tr
Department
Department of Mathematics
Scopus Author ID
Counting Boolean functions with faster points
Salagean, Ana; Özbudak, Ferruh (Springer Science and Business Media LLC, 2020-09-01)
Duan and Lai introduced the notion of "fast point" for a Boolean function f as being a direction a so that the algebraic degree of the derivative of f in direction a is strictly lower than the expected deg(f) - 1. Their st...
Subspace packings: constructions and bounds
Etzion, Tuvi; Kurz, Sascha; Otal, Kamil; Özbudak, Ferruh (Springer Science and Business Media LLC, 2020-09-01)
Grassmannian Gq (n, k) is the set of all k-dimensional subspaces of the vector space Fn q. Kotter and Kschischang showed that codes in Grassmannian space can be used for error-correction in random network coding. On the ot...
Duals of non-weakly regular bent functions are not weakly regular and generalization to plateaued functions
Özbudak, Ferruh; PELEN, RUMİ MELİH (Elsevier BV, 2020-06-01)
It is known that the dual of a weakly regular bent function is again weakly regular. On the other hand, the dual of a nonweakly regular bent function may not even be a bent function. In 2013, cesmelioglu, Meidl and Pott po...
Strongly regular graphs arising from non-weakly regular bent functions
Özbudak, Ferruh; PELEN, RUMİ MELİH (Springer Science and Business Media LLC, 2019-11-01)
In this paper, we study two special subsets of a finite field of odd characteristics associated with non-weakly regular bent functions. We show that those subsets associated to non-weakly regular even bent functions in the...
A concatenated construction of linear complementary pair of codes
GÜNERİ, CEM; Özbudak, Ferruh; Sacikara, Elif (Springer Science and Business Media LLC, 2019-09-01)
A concatenated construction for linear complementary dual codes was given by Carlet et al. using the so-called isometry inner codes. Here, we obtain a concatenated construction to the more general family, linear complement...
On q-ary plateaued functions over F-q and their explicit characterizations
Mesnager, Sihem; Özbudak, Ferruh; Sinak, Ahmet; Cohen, Gerard (Elsevier BV, 2019-08-01)
Plateaued and bent functions play a significant role in cryptography, sequence theory, coding theory and combinatorics. In 1997, Coulter and Matthews redefined bent functions over any finite field F-q where q is a prime po...
Constructing sequences with high nonlinear complexity using the Weierstrass semigroup of a pair of distinct points of a Hermitian curve
Geil, Olav; Özbudak, Ferruh; Ruano, Diego (Springer Science and Business Media LLC, 2019-06-01)
Using the Weierstrass semigroup of a pair of distinct points of a Hermitian curve over a finite field, we construct sequences with improved high nonlinear complexity. In particular we improve the bound obtained in Niederre...
On affine variety codes from the Klein quartic
Geil, Olav; Özbudak, Ferruh (Springer Science and Business Media LLC, 2019-03-01)
We study a family of primary affine variety codes defined from the Klein quartic. The duals of these codes have previously been treated in Kolluru et al., (Appl. Algebra Engrg. Comm. Comput. 10(6):433-464, 2000, Ex. 3.2). ...
Linear codes from weakly regular plateaued functions and their secret sharing schemes
Mesnager, Sihem; Özbudak, Ferruh; Sinak, Ahmet (2019-03-01)
Linear codes, the most significant class of codes in coding theory, have diverse applications in secret sharing schemes, authentication codes, communication, data storage devices and consumer electronics. The main objectiv...
CYLOTOMIC FUNCTION FIELDS OVER FINITE FIELDS WITH CLASS NUMBER THREE
Bilhan, Mehpare; Buyruk, Dilek; Özbudak, Ferruh (2019-01-01)
We list all subfields of cyclotomic function fields over rational function fields with class number three. We also determine all the imaginary abelian extensions with relative class number three, explicitly.