Buket Özkaya

E-mail

ozkayab@metu.edu.tr

Department

Graduate School of Applied Mathematics

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)
On some permutation trinomials in characteristic three 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...
Quasi-twisted codes as contractions of quasi-cyclic codes Özkaya, Buket; Özbudak, Ferruh (2023-10-01)
A Comparison of Distance Bounds for Quasi-Twisted Codes Ezerman, Martianus Frederic; Lampos, John Mark; Ling, San; Özkaya, Buket; Tharnnukhroh, Jareena (2021-10-01) Spectral bounds on the minimum distance of quasi-twisted codes over finite fields are proposed, based on eigenvalues of polynomial matrices and the corresponding eigenspaces. They generalize the Semenov-Trifonov and Zeh-Li...
Quasi-cyclic codes Özkaya, Buket; Güneri, Cem; Ling, San (CRC, New York , 2021-03-01)
New bounds on the minimum distance of cyclic codes Ling, San; Özkaya, Buket (2021-02-01) Two bounds on the minimum distance of cyclic codes are proposed. The first one generalizes the Roos bound by embedding the given cyclic code into a cyclic product code. The second bound also uses a second cyclic code, name...

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