25 citations · 39 across the 6 of their papers we have counts for
10 papers · 1 filter
Generalized Spectral Bound for Quasi-Twisted Codes
Buket Özkaya
Semenov and Trifonov [22] developed a spectral theory for quasi-cyclic codes and formulated a BCH-like minimum distance bound. Their approach was generalized by Zeh and Ling [24],…
A Comparison of Distance Bounds for Quasi-Twisted Codes
Martianus Frederic Ezerman, John Mark Lampos, San Ling +2
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…
Quasi-Cyclic Codes
Cem Güneri, San Ling, Buket Özkaya
Quasi-cyclic codes form an important class of algebraic codes that includes cyclic codes as a special subclass. This chapter focuses on the algebraic structure of quasi-cyclic code…
Spectral Bounds for Quasi-Twisted Codes
Martianus Frederic Ezerman, San Ling, Buket Özkaya +1
New lower bounds on the minimum distance of quasi-twisted codes over finite fields are proposed. They are based on spectral analysis and eigenvalues of polynomial matrices. They ge…
Good Stabilizer Codes from Quasi-Cyclic Codes over and
Martianus Frederic Ezerman, San Ling, Buket Özkaya +1
We apply quantum Construction X on quasi-cyclic codes with large Hermitian hulls over and to derive good qubit and qutrit stabilizer codes, respective…
On linear complementary-dual multinegacirculant codes
Adel Alahmadi, Cem Güneri, Buket Özkaya +2
Linear codes with complementary-duals (LCD) are linear codes that intersect with their dual trivially. Multinegacirculant codes of index that are LCD are characterized algebrai…
Structure and Performance of Generalized Quasi-Cyclic Codes
Cem Güneri, Ferruh Özbudak, Buket Özkaya +3
Generalized quasi-cyclic (GQC) codes form a natural generalization of quasi-cyclic (QC) codes. They are viewed here as mixed alphabet codes over a family of ring alphabets. Decompo…
On self-dual double negacirculant codes
Adel Alahmadi, Hatoon Shohaib, Patrick Solé
Double negacirculant (DN) codes are the analogues in odd characteristic of double circulant codes. Self-dual DN codes of odd dimension are shown to be consta-dihedral. Exact counti…
Quasi-cyclic subcodes of cyclic codes
Jean-Claude Belfiore, Cem Güneri, Buket Özkaya
We completely characterize possible indices of quasi-cyclic subcodes in a cyclic code for a very broad class of cyclic codes. We present enumeration results for quasi-cyclic subcod…
The combinatorics of LCD codes: Linear Programming bound and orthogonal matrices
Steven T. Dougherty, Jon-Lark Kim, Buket Ozkaya +2
Linear Complementary Dual codes (LCD) are binary linear codes that meet their dual trivially. We construct LCD codes using orthogonal matrices, self-dual codes, combinatorial desig…