10 citations · 38 across the 20 of their papers we have counts for
20 papers
Some structural properties of mixed orthogonal arrays and their irredundancy
Maryam Bajalan, Peter Boyvalenkov, Ferruh Özbudak
Mixed (asymmetric) orthogonal arrays (MOAs) generalize classical orthogonal arrays by allowing columns over different alphabets. However, their study requires very different struct…
Determining the covering radius of all generalized Zetterberg codes in odd characteristic
Minjia Shi, Shitao Li, Tor Helleseth +1
For an integer , let be the generalized Zetterberg code of length over the finite field $\F_{q_0}$ of odd characteristic. Recently, Shi, Hell…
Characterization of Nearly Self-Orthogonal Quasi-Twisted Codes and Related Quantum Codes
Martianus Frederic Ezerman, Markus Grassl, San Ling +2
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 cod…
Sequence of Numbers of Linear Codes with Increasing Hull Dimensions
Stefka Bouyuklieva, Iliya Bouyukliev, Ferruh Özbudak
The hull of a linear code is the intersection of with its dual code. We present and analyze the number of linear -ary codes of the same length and dimension but with dif…
Griesmer Bound and Constructions of Linear Codes in -Symbol Metric
Gaojun Luo, Martianus Frederic Ezerman, Cem Güneri +2
The -symbol metric is a generalization of the Hamming metric. Linear codes, in the -symbol metric, have been used in the read channel whose outputs consist of consecutive…
Butson Hadamard matrices, bent sequences, and spherical codes
Minjia Shi, Danni Lu, Andrés Armario +3
We explore a notion of bent sequence attached to the data consisting of an Hadamard matrix of order defined over the complex roots of unity, an eigenvalue of that matr…
Quasi-cyclic perfect codes in Doob graphs and special partitions of Galois rings
Minjia Shi, Xiaoxiao Li, Denis S. Krotov +1
The Galois ring GR is the residue ring , where is a basic primitive polynomial of degree over . For any odd larger than , we construct…
Constructing MRD codes by switching
Minjia Shi, Denis S. Krotov, Ferruh Özbudak
MRD codes are maximum codes in the rank-distance metric space on -by- matrices over the finite field of order . They are diameter perfect and have the cardinality $q^{m(n-…
Complete b-symbol weight distribution of some irreducible cyclic codes
Hongwei Zhu, Minjia Shi, Ferruh Ozbudak
Recently, -symbol codes are proposed to protect against -symbol errors in -symbol read channels. It is an interesting subject of study to consider the complete -symbol…
LCD Codes from tridiagonal Toeplitz matrice
Minjia Shi, Ferruh Özbudak, Li Xu +1
Double Toeplitz (DT) codes are codes with a generator matrix of the form with a Toeplitz matrix, that is to say constant on the diagonals parallel to the main. When …
Subspace Packings -- Constructions and Bounds
Tuvi Etzion, Sascha Kurz, Kamil Otal +1
The Grassmannian is the set of all -dimensional subspaces of the vector space . Kötter and Kschischang showed that codes in Grassmannian spa…
New cubic self-dual codes of length 54, 60 and 66
Pınar Çomak, Jon-Lark Kim, Ferruh Özbudak
We study the construction of quasi-cyclic self-dual codes, especially of binary cubic ones. We consider the binary quasi-cyclic codes of length 3\ell with the algebraic approach of…
On affine variety codes from the Klein quartic
Olav Geil, Ferruh Ôzbudak
We study a family of primary affine variety codes defined from the Klein quartic. The duals of these codes have previously been treated in [12, Ex. 3.2]. Among the codes that we co…
A new class of three-weight linear codes from weakly regular plateaued functions
Sihem Mesnager, Ferruh Özbudak, Ahmet Sınak
Linear codes with few weights have many applications in secret sharing schemes, authentication codes, communication and strongly regular graphs. In this paper, we consider linear c…
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…
Additive cyclic codes over finite commutative chain rings
Edgar Martínez-Moro, Kamil Otal, Ferruh Özbudak
Additive cyclic codes over Galois rings were investigated in previous works. In this paper, we investigate the same problem but over a more general ring family, finite commutative…
Switchings of semifield multiplications
Xiang-dong Hou, Ferruh Özbudak, Yue Zhou
Let be a polynomial over which defines an -bilinear form on the vector space , and let be a nonzero element in $\mat…
Polycyclic codes over Galois rings with applications to repeated-root constacyclic codes
Sergio R. Lopez-Permouth, Hakan Ozadam, Ferruh Ozbudak +1
Cyclic, negacyclic and constacyclic codes are part of a larger class of codes called polycyclic codes; namely, those codes which can be viewed as ideals of a factor ring of a polyn…
Monomial-like codes
Edgar Martinez-Moro, Hakan Ozadam, Ferruh Ozbudak +1
As a generalization of cyclic codes of length p^s over F_{p^a}, we study n-dimensional cyclic codes of length p^{s_1} X ... X p^{s_n} over F_{p^a} generated by a single "monomial".…
Improved asymptotic bounds for codes using distinguished divisors of global function fields
Harald Niederreiter, Ferruh Özbudak
For a prime power , let be the standard function in the asymptotic theory of codes, that is, is the largest asymptotic information rate that can be achieved for a…