Ferruh Özbudak

Department of Mathematics
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LCD codes from tridiagonal Toeplitz matrices
Shi, Minjia; Özbudak, Ferruh; Xu, Li; Solé, Patrick (2021-10-01)
© 2021 Elsevier Inc.Double Toeplitz (DT) codes are codes with a generator matrix of the form (I,T) with T a Toeplitz matrix, that is to say constant on the diagonals parallel to the main. When T is tridiagonal and symmetri...
Özbudak, Ferruh; Tekin, Eda (2021-08-01)
In this paper, we give a classification of a sequence family, over arbitrary characteristic, adding linear trace terms to the function g(x) = Tr(x(d)), where d = p(2k) - p(k) + 1, first introduced by Trachtenberg. The fami...
New generalized almost perfect nonlinear functions
Özbudak, Ferruh; Salagean, Ana (2021-02-01)
APN (almost perfect non-linear) functions over finite fields of even characteristic are widely studied due to their applications to the design of symmetric ciphers resistant to differential attacks. This notion was recentl...
New constructions of entanglement-assisted quantum codes
Allahmadi, A.; AlKenani, A.; Hijazi, R.; Muthana, N.; Özbudak, Ferruh; Solé, P. (2021-01-01)
© 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.We present two new constructions of entanglement-assisted quantum error-correcting codes using some fundamenta...
Geometric Approach to b-Symbol Hamming Weights of Cyclic Codes
Shi, Minjia; Özbudak, Ferruh; Sole, Patrick (2021-01-01)
IEEESymbol-pair codes were introduced by Cassuto and Blaum in 2010 to protect pair errors in symbol-pair read channels. Recently Yaakobi, Bruck and Siegel (2016) generalized this notion to b-symbol codes in order to consid...
On the Parity of Power Permutations
Comak, Pinar; Özbudak, Ferruh (2021-01-01)
CCBYSide-channel analysis (SCA) attacks and many countermeasures to foil these attacks have been the subject of a large body of research. Different masking schemes have been proposed as countermeasures, one of which is Thr...
Hermitian Rank Metric Codes and Duality
La Cruz, Javier De; Evilla, Jorge Robinson; Özbudak, Ferruh (2021-01-01)
In this paper we define and study rank metric codes endowed with a Hermitian form. We analyze the duality for F-q2-linear matrix codes in the ambient space (F-q2)(n,m) and for both F-q2-additive codes and F-q2m-linear code...
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...
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