Buket Özkaya

E-mail

ozkayab@metu.edu.tr

Department

Graduate School of Applied Mathematics

On an open problem on permutation polynomials from self-reciprocal polynomials Grassl, Markus; Gülmez Temür, Burcu; Özbudak, Ferruh; Özkaya, Buket (2027-01-01) In this paper, we address two open problems posed by Martínez, Gupta and Quoos in [24] . We solve both problems completely and therefore generalize [28, Theorems 3.4 and 3.5] . We study polynomials of the form f(x)=x3g(xq−...
Generator matrices of quasi-cyclic codes Bayraktar, Gözde Cennet; Özbudak, Ferruh; Özkaya, Buket (2026-11-01) In this paper, we provide a complete solution to an open problem by applying the spectral method to the polynomial generator matrices of quasi-cyclic codes of arbitrary index, using the corresponding reduced Gröbner basis ...
PIR Schemes from nD-Cyclic and nD-Constacyclic Codes and Their Monomial Equivalence Grassl, Markus; Yılmaz, Burcu Ecem; Özbudak, Ferruh; Özkaya, Buket (2026-02-01)
Optimum Distance Cyclic H-Orbit Full Flag Codes Karakas, Zeynelabidin; Özbudak, Ferruh; Özkaya, Buket (2025-01-01) Flag codes, introduced as a special class of nested subspace codes, have recently attracted significant attention in the research community. In this work, we present constructions of optimum-distance cyclic H-orbit full fl...
On some permutation trinomials in characteristic three Özkaya, Buket; Gülmez Temür, Burcu (2024-07-01)
New distance bounds for quasi-cyclic codes Özkaya, Buket; Özbudak, Ferruh (2024-07-01)
On a class of permutation trinomials over finite fields Özkaya, Buket; Gülmez Temür, Burcu (2024-07-01)
Complete Characterization of a Class of Permutation Trinomial in Characteristic Five Grassl, Markus; Özbudak, Ferruh; Özkaya, Buket; Gülmez Temür, Burcu (2024-02-01) In this paper, we address an open problem posed by Bai and Xia in [2]. We study polynomials of the form f (x) = x4q+1 + λ1 x5q + λ2 x q+4 over the finite field F5k , which are not quasi- multiplicative equivalent to any of...
Characterization of Nearly Self-Orthogonal Quasi-Twisted Codes and Related Quantum Codes Ezerman, Martianus Frederic; Grass, Markus; Ling, San; Özbudak, Ferruh; Özkaya, Buket (2024-01-01) Quasi-twisted codes are used here as the classical ingredients in the so-called Construction X for quantum error-control codes. The construction utilizes nearly self-orthogonal codes to design quantum stabilizer codes. We ...
Improved Spectral Bound for Quasi-Cyclic Codes Luo, Gaojun; Ezerman, Martianus Frederic; Ling, San; Özkaya, Buket (2024-01-01) Spectral bounds form a powerful tool to estimate the minimum distances of quasi-cyclic codes. They generalize the defining set bounds of cyclic codes to those of quasi-cyclic codes. Based on the eigenvalues of quasi-cyclic...

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